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The Region-Layer: A building block for AGI

Posted by ProjectAGI on
The Region-Layer: A building block for AGI
Figure 1: The Region-Layer component. The upper surface in the figure is the Region-Layer, which consists of Cells (small rectangles) grouped into Columns. Within each Column, only a few cells are active at any time. The output of the Region-Layer is the activity of the Cells. Columns in the Region-Layer have similar – overlapping – but unique Receptive Fields – illustrated here by lines joining two Columns in the Region-Layer to the input matrix at the bottom. All the Cells in a Column have the same inputs, but respond to different combinations of active input in particular sequential contexts. Overall, the Region-Layer demonstrates self-organization at two scales: into Columns with unique receptive fields, and into Cells responding to unique (input, context) combinations of the Column’s input. 

Introducing the Region-Layer

From our background reading (see here, here, or here) we believe that the key component of a general intelligence can be described as a structure of “Region-Layer” components. As the name suggests, these are finite 2-dimensional areas of cells on a surface. They are surrounded by other Region-Layers, which may be connected in a hierarchical manner; and can be sandwiched by other Region-Layers, on parallel surfaces, by which additional functionality can be achieved. For example, one Region-Layer could implement our concept of the Objective system, another the Region-Layer the Subjective system. Each Region-Layer approximates a single Layer within a Region of Cortex, part of one vertex or level in a hierarchy. For more explanation of this terminology, see earlier articles on Layers and Levels.
The Region-Layer has a biological analogue – it is intended to approximate the collective function of two cell populations within a single layer of a cortical macrocolumn. The first population is a set of pyramidal cells, which we believe perform a sparse classifier function of the input; the second population is a set of inhibitory interneuron cells, which we believe cause the pyramidal cells to become active only in particular sequential contexts, or only when selectively dis-inhibited for other purposes (e.g. attention). Neocortex layers 2/3 and 5 are specifically and individually the inspirations for this model: Each Region-Layer object is supposed to approximate the collective cellular behaviour of a patch of just one of these cortical layers.
We assume the Region-Layer is trained by unsupervised learning only – it finds structure in its input without caring about associated utility or rewards. Learning should be continuous and online, learning as an agent from experience. It should adapt to non-stationary input statistics at any time.
The Region-Layer should be self-organizing: Given a surface of Region-Layer components, they should arrange themselves into a hierarchy automatically. [We may defer implementation of this feature and initially implement a manually-defined hierarchy]. Within each Region-Layer component, the cell populations should exhibit a form of competitive learning such that all cells are used efficiently to model the variety of input observed.
We believe the function of the Region-Layer is best described by Jeff Hawkins: To find spatial features and predictable sequences in the input, and replace them with patterns of cell activity that are increasingly abstract and stable over time. Cumulative discovery of these features over many Region-Layers amounts to an incremental transformation from raw data to fully grounded but abstract symbols. 
Within a Region-Layer, Cells are organized into Columns (see figure 1). Columns are organized within the Region-Layer to optimally cover the distribution of active input observed. Each Column and each Cell responds to only a fraction of the input. Via these two levels of self-organization, the set of active cells becomes a robust, distributed representation of the input.
Given these properties, a surface of Region-Layer components should have nice scaling characteristics, both in response to changing the size of individual Region-Layer column / cell populations and the number of Region-Layer components in the hierarchy. Adding more Region-Layer components should improve input modelling capabilities without any other changes to the system.
So let’s put our cards on the table and test these ideas. 

Region-Layer Implementation

Parameters

For the algorithm outlined below very few parameters are required. The few that are mentioned are needed merely to describe the resources available to the Region-Layer. In theory, they are not affected by the qualities of the input data. This is a key characteristic of a general intelligence.
  • RW: Width of region layer in Columns
  • RH: Height of region layer in Columns
  • CW: Width of column in Cells 
  • CH: Height of column in Cells

Inputs and Outputs

  • Feed-Forward Input (FFI): Must be sparse, and binary. Size: A matrix of any dimension*.
  • Feed-Back Input (FBI): Sparse, binary Size: A vector of any dimension
  • Prediction Disinhibition Input (PDI): Sparse, rare. Size: Region Area+
  • Feed-Forward Output (FFO): Sparse, binary and distributed. Size: Region Area+
* the 2D shape of input[s] may be important for learning receptive fields of columns and cells, depending on implementation.
+  Region Area = CW * CH * RW * RH

Pseudocode

    Here is some pseudocode for iterative update and training of a Region-Layer. Both occur simultaneously.
    We also have fully working code. In the next few blog posts we will describe some of our concrete implementations of this algorithm, and the tests we have performed on it. Watch this space!
    function: UpdateAndTrain( 
      feed_forward_input, 
      feed_back_input, 
      prediction_disinhibition 
    )

    // if no active input, then do nothing
    if( sum( input ) == 0 ) {
      return
    }

    // Sparse activation
    // Note: Can be implemented via a Quilt[1] of any competitive learning algorithm, 
    // e.g. Growing Neural Gas [2], Self-Organizing Maps [3], K-Sparse Autoencoder [4].
    activity(t) = 0

    for-each( column c ) {
      // find cell x that most responds to FFI 
      // in current sequential context given: 
      //  a) prior active cells in region 
      //  b) feedback input.
      x = findBestCellsInColumn( feed_forward_input, feed_back_input, c )

      activity(t)[ x ] = 1
    }

    // Change detection
    // if active cells in region unchanged, then do nothing
    if( activity(t) == activity(t-1) ) {
      return
    }

    // Update receptive fields to organize columns
    trainReceptiveFields( feed_forward_input, columns )

    // Update cell weights given column receptive fields
    // and selected active cells
    trainCells( feed_forward_input, feed_back_input, activity(t) )

    // Predictive coding: output false-negative errors only [5]
    for-each( cell x in region-layer ) {

      coding = 0

      if( ( activity(t)[x] == 1 ) and ( prediction(t-1)[x] == 0 ) ) {
        coding = 1
      }
      // optional: mute output from region, for attentional gating of hierarchy
      if( prediction_disinhibition(t)[x] == 0 ) {
        coding = 0 
      }

      output(t)[x] = coding
    }

    // Update prediction
    // Note: Predictor can be as simple as first-order Hebbian learning. 
    // The prediction model is variable order due to the inclusion of sequential 
    // context in the active cell selection step.
    trainPredictor( activity(t), activity(t-1) )
    prediction(t) = predict( activity(t) )
    [1] http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.84.1401&rep=rep1&type=pdf[2] https://papers.nips.cc/paper/893-a-growing-neural-gas-network-learns-topologies.pdf[3] http://www.cs.bham.ac.uk/~jxb/NN/l16.pdf[4] https://arxiv.org/pdf/1312.5663[5] http://www.ncbi.nlm.nih.gov/pubmed/10195184
    action selection/agency/AGI/Artificial General Intelligence/columns/cortex/Hierarchical Generative Models/hierarchy/Memory-Prediction Framework/neurobiology/pyramidal cell/Thalamocortical

    How to build a General Intelligence: An interpretation of the biology

    Posted by ProjectAGI on
    How to build a General Intelligence: An interpretation of the biology
    Figure 1: Our interpretation of the Thalamocortical system as 3 interacting sub-systems (objective, subjective and executive). The structure of the diagram indicates the dominant direction of information flow in each system. The objective system is primarily concerned with feed-forward data flow, for the purpose of building a representation of the actual agent-world system.  The executive system is responsible for making desired future agent-world states a reality. When predictions become observations, they are fed back into the objective system. The subjective system is a circular because its behaviour depends on internal state as much as external. The subjective system builds a filtered, subjective model of observed reality, that also represents objectives or instructions for the executive. This article will describe how this model fits into the structure of the Thalamocortical system.

    Authors: David Rawlinson and Gideon Kowadlo

    This is part 4 of our series on how to build an artificial general intelligence (AGI).

    • Part 1: An overview of hierarchical general intelligence
    • Part 2: Reverse engineering (the physical perspective – cells and layers – and the logical perspective – a hierarchy).
    • Part 3: Circuits and pathways; we introduced our canonical cortical micro-circuit and fitted pathways to it.

    In this article, part 4, we will try to interpret all the information provided so far. We will try to fit what we know about the biological general intelligence to our theoretical expectations.

    Systems

    We believe cortical activity can be usefully interpreted as 3 integrated systems. These are:

    • Objective system
    • Subjective system
    • Executive system

    So, what are these systems, why are they needed and how do they work?

    Objective System

    We theorise that the purpose of the objective system is to construct a hierarchical, generative model of both the external world and the actual state of the agent. This includes internal plans & goals already executed or in progress. From our conceptual overview of General Intelligence we think that this representation should be distributed, compositional and therefore robust and able to immediately model novel situations instantly and meaningfully.

    The objective system models varying timespans depending on the level of abstraction, but events are anchored to the current state of the world and agent. Abstract events may cover long periods of time – for example, “I made dinner” might be one conceptual event.

    We propose that the objective system is implemented by pyramidal cells in layers 2/3 and by spiny excitatory cells in layer 4. Specifically, we suggest that the purpose of the spiny excitatory cells is primarily dimensionality reduction, by performing a classifier function, analogous to the ‘Spatial Pooling’ function of Hawkins’ HTM theory. This is supported by analysis of C4 spiny stellate connectivity: “… spiny stellate cells act predominantly as local signal processors within a single barrel…”. We believe the pyramidal cells are more complex and have two functions. First, they perform dimensionality reduction by requiring a set of active inputs on specific apical (distal) dendrite branches to be simultaneously observed before the apical dendrite can output a signal (an action potential). Second, they use basal (proximal) dendrites to identify the sequential context in which the apical dendrite has become active. Via a local competitive process, pyramidal cells learn to become active only when observing a set of specific input patterns in specific historical contexts.

    The output of pyramidal cells in C2/3 is routed via the Feed-Forward Direct pathway to a “higher” or more abstract cortical region, where it enters in C4 (or in some parts of the Cortex, C2/3 directly). In this “higher” region, the same classifier and context recognition process is repeated. If C4 cells are omitted, we have less dimensionality reduction and a greater emphasis on sequential or historical context.

    We propose these pyramidal cells only output along their axons when they become active without entering a “predicted” state first. Alternatively, interneurons could play a role in inhibiting cells via prediction to achieve the same effect. If pyramidal cells only produce an output when they make a False-Negative prediction error (i.e. they fail to predict their active state), output is equivalent to Predictive Coding (link, link). Predictive Coding produces an output that is more stable over time, which is a form of Temporal Pooling as proposed by Numenta.

    To summarize, the computational properties of the objective system are:

    1. Replace simultaneously active inputs with a smaller set of active cells representing particular sub-patterns, and
    2. Replace predictable sequences of active cells with a false-negative error coding to transform the output into a simpler sequence of prediction errors

    These functions will achieve the stated purpose of incrementally transforming input data into simpler forms with accumulating invariances, while propagating (rather than hiding) errors, for further analysis in other Columns or cortical regions. In combination with a tree-like hierarchical structure, higher Columns will process data with increasing breadth and stability over time and space.

    The Feed-Forward direct pathway is not filtered by the Thalamus. This means that Columns always have access to the state of objective system pyramidal cells in lower columns. This could explain the phenomenon that we can process data without being aware of it (aka “Blindsight”); essentially the objective system alone does not cause conscious attention. This is a very useful quality, because it means the data required to trigger a change in attention is available throughout the cortex. The “access” phenomenon is well documented and rather mysterious; the organisation of the cortex into objective and subjective systems could explain it.

    Another purpose of the objective system is to ensure internal state cannot become detached from reality. This can easily occur in graphical models, when cycles form that exclude external influence. To prevent this, we believe that the roles of feed-forward and feed-back input must be separated to break the cycles. However, C2/3 pyramidal cells’ dendrites receive both feed-forward (from C4) and feed-back input (via C1).

    One way that this problem might be avoided is by different treatment of feed-forward and feed-back input, so that the latter can be discounted when it is contradicted by feed-forward information. There is evidence that feed-forward and feedback signals are differently encoded, which would make this distinction possible.

    We speculate that the set of states represented by the cells in C2/3 could be defined only using feed-forward input, and that the purpose of feedback data in the objective system is restricted to improved prediction, because feedback contains state information from a larger part of the hierarchy (see figure 2).

    Figure 2: The benefit of feedback. This figure shows part of a hierarchy. The hierarchy structure is defined by the receptive fields of the columns (shown as lines between cylinders, left). Each Column has receptive fields of similar size. Moving up the hierarchy, Columns receive increasingly abstract input with a greater scope, being at the top of a pyramid of lower Columns whose receptive fields collectively cover a much larger area of input. Feedback has the opposite effect, summarizing a much larger set of Column states from elsewhere and higher in the hierarchy. Of course there is information loss during these transfers, but all data is fully represented somewhere in the hierarchy.

    So although the objective system makes use of feedback, the hierarchy it defines should be predominantly determined by feed-forward information. The feed-forward direct pathway (see figure 3) enables the propagation of this data and consequently the formation of the hierarchy.

    Figure 3: Feed-Forward Direct pathway within our canonical cortical micro-circuit. Data travels from C4 to C2/3 and then to C4 in a higher Column. This pattern is repeated up the hierarchy. This pathway is not filtered by the Thalamus or any other central structure, and note that it is largely uni-directional (except for feedback to improve prediction accuracy). We propose this pathway implements the Objective System, which aims to construct a hierarchical generative model of the world and the agent within it.

    Subjective System

    We think that the subjective system is a selectively filtered model of both external and internal state including filtered predictions of future events. We propose that filtering of input constitutes selective attention, whereas filtering of predictions constitutes action selection and intent. So, the system is a subjective model of reality, rather than an objective one, and it is used for both perception and planning simultaneously.

    The time span encompassed by the system includes a subset of both present and future event-concepts, but as with the objective system, this may represent a long period of real-world time, depending on the abstraction of the events (for example, “now” I am going to work, and “next” I will check my email [in 1 hour’s time]).

    It makes good sense to have two parallel systems, one filtered (subjective) and one not (objective). Filtering external state reduces distraction and enhances focus and continuity. Filtering of future predictions allows selected actions to be maintained and pursued effectively, to achieve goals.

    In addition to events the agent can control, it is important to be aware of negative outcomes outside the agent’s control. Therefore the state of the subjective system must include events with both positive and negative reward outcomes. There is a big difference between a subjective model and a goal-oriented planning model. The subjective system should represent all outcomes, but preferentially select positive outcomes for execution.

    The subjective system represents potential future states, both internal and external. It does not necessarily represent reality; it represents a biased interpretation of intended or expected outcomes based on a biased interpretation of current reality! These biases and omissions are useful; they provide the ability to “imagine’ future events by serially “predicting” a pruned tree of potential futures.

    More speculatively, differences between the subjective and objective systems may be the cause of phenomena such as selective awareness and “access” consciousness.

    Figure 4: Feed-Forward Indirect pathway, particularly involved in the Subjective system due to its influence on C5. The Thalamus is involved in this pathway, and is believed to have a gating or filtering effect. Data flows from the Thalamus to C4, to C2/3, to C5 and then to a different Thalamic nuclei that serves as the input gateway to another cortical Column in a different region of the Cortex. We propose that the Feed-Forward Indirect pathway is a major component of the subjective system.
    Figure 5:  The inhibitory micro-circuit, which we suggest makes the subjective system subjective! The red highlight shows how the Thalamus controls activity in C5 by activating inhibitory cells in C4. The circuit is completed by C5 pyramidal cells driving C6 cells that modulate the activity of the same Thalamic nuclei that selectively activate C5.

    The subjective system primarily comprises C5 (where subjective states are represented) and the Thalamus (which controls subjectivity), but it draws input from the objective system via C2/3. The latter provides context and defines the role and scope (within the hierarchy) of C5 cells in a particular column. Between each cortical region (and therefore every hierarchy level), input to the subjective system is filtered by the Thalamus (figure 5). This implements the selection process. The Feed-Forward Indirect pathway includes these Thalamo-Cortical loops.

    We suggest the Thalamus implements selection within C5 using special cells in C4 that are activated by axons (outputs) from the Thalamus (see figure 6). These inhibitory C4 cells target C5 pyramidal cells and inhibit them from becoming active. Therefore, thalamic axons are both informative (“this selection has been made”) and executive (the axon drives inhibition of selected C5 pyramidal cells).

    Figure 6: Thalamocortical axons (afferents) are shown driving inhibitory cells in C4 (leftmost green cell) that in turn inhibit pyramidal cells in C5 (red). They also provide information about these selections to other layers, including C2/3. When a selection has been made, it becomes objective rather than subjective, hence provision of a copy to C2/3. Image source.


    Note that selection may be a process of selective dis-inhibition rather than direct control: Selection alone may not be enough to activate the C5 cells.  Instead, C5 pyramidal cells likely require both selection by the Thalamus, and feed-forward activation via input from C2/3. The feed-forward activation could occur anywhere within a window of time in which the C5 cell is “selected”.  This would relax timing requirements on the selection task, making control easier; you only need to ensure that the desired C5 cell is disinhibited when the right contextual information arrives from other sources (such as C2/3). This also ensures C5 cell activation fits into its expected sequence of events and doesn’t occur without the right prior context.

    C5 also benefits from informational feedback from higher regions and neighbouring cells that help to define unique contexts for the activation of each cell.

    We suggest that C5 pyramidal cells are similar to C2/3 pyramidal cells but with some differences in the way the cells become active. Whereas C2/3 cells require both matching input via the apical dendrites and valid historical input to the basal dendrites to become active, C5 cells additionally need to be disinhibited for full activation to occur.

    As mentioned in the previous article, output from C5 cells sometimes drives motors very directly, so full activation of C5 cells may immediately result in physical actions. We can consider C5 to be the “output” layer of the cortex. This makes sense if the representation within C5 includes selected future states.

    Management of C5 activity will require a lot of inhibition; we would expect most of the input connections to C5 to be inhibitory because in every context, for every potential outcome, there are many alternative outcomes that must be inhibited (ignored). At any given time, only a sparse set of C5 cells would be fully active, but many more would be potentially-active (available for selection).

    Given predictive encoding and filtering inhibition, it would be common for few pyramidal cells to be active in a Column at any time. Separately, we would expect objective C2/3 pyramidal activity to be more consistent and repeatable than subjective C5 pyramidal activity, given a constant external stimulus.

    Executive System

    So far we have defined a mechanism for generating a hierarchical representation and a mechanism for selectively filtering activity within that representation. In our original conceptual look at general intelligence, we also desired that filtering predictions would be equivalent to action selection. But if we have selected predictions of future actions at various levels of abstraction within the hierarchy, how can we make these abstract prediction-actions actually happen?

    The purpose of the executive system is to execute hierarchical plans reliably. As previously discussed, this is no trivial matter due to problems such as vanishing agency at higher hierarchy levels. If a potential future outcome represented within the subjective system is selected for action, the job of the executive system is to make it occur.

    We know that we want abstract concepts at high levels within the hierarchy to be faithfully translated into their equivalent patterns of activity at lower levels. Moving towards more concrete forms would result in increasing activity as the incremental dimensionality reduction of the feed-forward hierarchy is reversed.

    Figure 7: Differences in dominant direction of data flow between objective and executive systems. Whereas the Objective system builds increasingly abstract concepts of greater breadth, the Executive system is concerned with decomposing these concepts into their many constituent parts. so that hierarchically-represented plans can be executed.

    We also know that we need to actively prioritize execution of a high level plan over local prediction / action candidates in lower levels. So, we are looking for a cascade of activity from higher hierarchy levels to lower ones.

    Figure 8: One of two Feed-Back direct pathways. This pathway may well be involved in cascading control activity down the hierarchy towards sensors and motors. Activity propagates from C6 to C6 directly; C6 modulates the activity of local C5 cells and relevant Thalamic nuclei that activate local C5 cells by selective disinhibition in conjunction with matching contextual information from C2/3.

    It turns out that such a system does exist: The feed-back direct pathway from C6 to C6. Cortex layer 6 is directly connected to Cortex layer 6 in the hierarchy levels immediately below. What’s more, these connections are direct, i.e. unfiltered (which is necessary to avoid the vanishing agency problem). Note that C5 (the subjective system) is still the output of the Cortex, particularly in motor areas. C6 must modulate the activity of cells in C5, biasing C5 to particular predictions (selections) and thereby implementing a cascading abstract plan. Finally, C6 also modulates the activity of Thalamic nuclei that are responsible for disinhibiting local C5 cells. This is obviously necessary to ensure that the Thalamus doesn’t override or interfere with the execution of a cascading plan already selected at a higher level of abstraction.

    Our theory is that ideally, all selections originate centrally (e.g. in the Thalamus). When C5 cells are disinhibited and then become predicted, an associated set of local C6 cells is triggered to make these C5 predictions become reality.

    These C6 cells have a number of modulatory outputs to achieve this goal:

    Executive Training

    No, this is not a personal development course for CEOs. This section checks whether C6 cells can learn to replay specific action sequences via C5 activity. This is an essential feature of our interpretation, because only C6 cells participate in a direct, modulatory feedback pathway.

    We propose that C6 pyramidal neurons are taught by historical activity in the subjective system. Patterns of subjective activity become available as “stored procedures” (sequences of disinhibition and excitatory outputs) within C6.

    Let’s start by assuming that C6 pyramidal cells have similar functionality to C2/3 and C5 pyramidal cells, due to their common morphhology. Assume that C5 cells in motor areas are direct outputs, and when active will cause the agent to take actions without any further opportunity for suppression or inhibition (see previous article).

    In other cortical areas, we assume that the role of C5 cells is to trigger more abstract “plans” that will be incrementally translated into activity in motor areas, and therefore will also become actions performed by the agent.

    To hierarchically compose more abstract action sequences from simpler ones, we need activity of an abstract C5 cell to trigger a sequence of activity in more concrete C5 cells. C6 cells will be responsible for linking these C5 cells. So, activating a C6 cell should trigger a replay of a sequence of C5 cell activity in a lower Column. How can C6 cells learn which sequences to trigger, and how can these sequences be interpreted correctly by C6 cells in higher hierarchy levels?

    C6 pyramidal cells are mostly oriented with their dendrites pointing towards the more superficial cortex layers C1,…,C5 and their axons emerging from the opposite end. Activity from C5 to C6 is transferred via axons from C5 synapsing with dendrites from C6. Given a particular model of pyramidal cell learning rules, C6 pyramidal cells will come to recognize patterns of simultaneous C5 activity in a specific sequential context, and C6 interneurons will ensure that unique sets of C6 pyramidal cells respond in each context.

    So how will these C6 cells learn to trigger sequences of C5 cells? We know that the axons of C6 cells bend around and reach up into C5, down to the Thalamus and directly to hierarchically-lower C6 cells. At all targets they can be excitatory or inhibitory.

    All we need beyond this, is for C6 axons to seek out axon target cells that become active immediately after the originating C6 cell is stimulated by active C5 cells. This will cause each C6 cell to trigger C5 and C6 cells that are observed to be activated afterwards. Note that we require the C6 cells themselves be organised into sequences (technically, a graph of transitions).

    Target seeking by axons is known as “Axon Guidance” and C6 pyramidal cells’ axons do seem to target electrically active cells by ceasing growth when activity is detected. We have not yet found biological evidence for the predicted timing.

    C6 axons can also target C4 inhibitory cells (evidence) and Thalamic cells, which again is compatible with our interpretation, as long as they are cells that become active after the originating C6 cell. If we want to “replay” some activity that followed a particular C6 cell, then all the cells described above should be excited or inhibited to ensure that the same events occur again. Activating a C6 cell directly should reproduce the same outcome as incidental activation of the C6 cell via C5 – a chain of sequential inhibition and promotion will result. Note that the same learning rule could work to discover all axon targets mentioned.

    Collectively, the C6 cells within a Column will become a repertoire of “stored procedures” that can be triggered and replayed by a cascade of activity from higher in the hierarchy or by direct selection via C5. C6 cells would behave the same way whether activated by local C5 cells, or by C6 cells in the hierarchy level above. This allows cascading, incremental execution of hierarchical plans.

    C6 cells do not need to replace sequences of C5 cell activity with a single C6 cell (i.e. label replacement for symbolic encoding), but they do need to collectively encode transitions between chains of C5 cells, individually trigger at least 1 C5 cell and collectively allow a single C6 cell to trigger a sequence of C6 cells in both the current and lower hierarchy regions.

    C6 interneurons can resolve conflicts when multiple C6 triggers coincide within a column. We can expect C6 interneurons to inhibit competing C6 pyramidal cells until the winners are found, resulting in a locally consistent plan of action.

    As with layers C2/3 and C5, C6 inhibitory interneurons will also support training C6 pyramidal cells for collective coverage of the space of observed inputs, in this case from C5 and C2/3.

    Bootstrapping

    Now we are only left with a bootstrapping problem: How can the system develop itself? Specifically, how do the sequences of C5 activity come to be defined so that they can be learned by C6?

    We suggest that conscious choice of behaviour via the Thalamus is used to build the hierarchical repertoire from simple primitive actions to increasingly sophisticated sequences of fine control. Initially, thalamic filtering of C5 state would be used to control motor outputs directly, without the involvement of C6. Deliberate practice and repetition would provide the training for C6 cells to learn to encode particular sequences of behaviour, making them part of the repertoire available to C6 cells in hierarchically “higher” Columns.

    Initially, concentration is needed to perform actions via direct C5 selections; these activities need to be carefully centrally coordinated using selective attention. However, when C6 has learnt to encode these sequences, they become both more reliable and require less effort to execute, requiring only a trigger to one C6 cell.

    After training, only minimal thalamic interventions are needed to execute complex sequences of behaviour learned by C6 cells. Innovation can continue by combining procedures encoded by C6 with interventions via the Thalamus, that can still excite or inhibit C5 cells. However, in most other cases C6 training is accelerated by the independence of Columns: When a C6 cell learns to control other cells within the Column, this learning remains valid no matter how many higher hierarchy levels are placed on top. By analogy, once you’ve learned to drink from a cup, you don’t need to relearn that skill to drink in restaurants, at home, at work etc.

    As C6 learns and starts to play a role in the actions and internal state of the agent, it becomes important to provide the state of C6 to the objective and subjective systems as contextual input.

    Axons from C6 to other, hierarchically lower Columns take two paths: To C6, and to C1. We propose that the copy provided to C1 is used as informational feedback in C2/3 and C5 pyramidal cells (these axons synapse with Pyramidal cell Apical dendrites). We suggest the copy to C6 allows C6 cells to execute plans hierarchically, by delegating execution to a number of more concrete C6 cells. Therefore, the feedback direct pathway from C6 to C6 is part of the executive system. These axons should synapse on cell bodies, or nearby, to inhibit or trigger C6 activation artificially (rather than via C5).

    Interpretation of the Thalamus

    Rather than as merely a relay, we propose that a better concept of the Thalamus is as a control centre. It’s job is to centrally control cortical activity in C5 (the subjective system). Abstract activity in C5 is propagated down the hierarchy by C6, and translated into its concrete component states, eventually resulting in specific motor actions. Therefore, via this feedback pathway the filtering performed by the Thalamus assumes an executive role also.

    We believe that filtering predictions of oneself performing an action or experiencing a reward is the mechanism by which objectives and plans are selected. We believe there is only one representation of the world in our heads. There is no separate “goal-oriented” or “action-based” representation. This means that filtering predictions is the mechanism of behaviour generation. Note that in a hierarchical system, you can simultaneously select novel combinations of predictions to achieve innovation without changing the hierarchical model.

    Our interpretation of the Thalamus depends on some theoretical assumptions about how general intelligence works. Crucially, we believe there is no difference between selective awareness of externally-caused and self-generated events, except some of the latter have agency in the real world via the agent’s actions. This means that selective attention and action selection can both be consequences of the same subjective modelling process.

    But where does selection actually occur?

    For a number of practical reasons, action and attentional selection should be centralized functions. For one thing, the reward criteria for selecting actions are of much smaller dimension than the cortical representations – for example, the set of possible pain sensations are far more limited than the potential external causes of pain. We essentially need to compare the reward of all potential actions against each other, rather than an absolute scale.

    It is also important that conflicts between items competing for attention or execution are resolved so that incompatible plans are replaced by a single clear choice. Conflict resolution is difficult to do in a highly parallel & distributed system; instead, it is preferable to force all alternatives to compete against each other until a few clear winners are found.

    Finally, once an action or attentional target is selected, it should be maintained for a long period (if still relevant), to avoid vacillation. (See Scholarpedia for a good introduction to the difficulties of conflict resolution and the importance of sticking to a decision for long enough to evaluate it).

    We believe the Thalamus plays this role via its interactions with the Cortex. It interacts with the Cortex in two ways. First, the Thalamus selectively dis-inhibits particular C5 cells, allowing them to become active when the right circumstances are later observed objectively (i.e. via C2/3, which is not subjective).

    Second, the Thalamus must also co-operate with the Feed-Back cascade via C6.  While the Thalamus generates new selections by controlling C5, it must also permit the execution of existing, more abstract Thalamic selections by allowing cascading feedback activity to override local selections. Together, these mechanisms ensure that execution of abstract plans is as easily accomplished as simpler, concrete actions.

    Interpretation of the Basal Ganglia

    The Basal Ganglia are involved in so many distinct functions that they can’t be fully described within this article. They consist of a set of discrete structures located adjacent to the Thalamus.

    In our model, selection is implemented by the Thalamus manipulating the subjective system within the Cortex. We propose that the selections themselves are generated by the Basal Ganglia, which then controls the behaviour of the Thalamus.

    Crucially, we believe the Striatum within the Basal Ganglia uses reward values (such as pleasure and pain) to make adaptive selections. In other words, the Basal Ganglia are responsible for picking good actions, biasing the entire Thalamo-Cortical system towards futures that are expected to be more pleasant for the agent.

    However, to make adaptive choices it is necessary to have accurate context and predictions (candidate actions). The hierarchical model defined within the Cortex is an efficient and powerful source for this data, and in fact, this pathway (Cortex → Basal Ganglia → Thalamus → Cortex) does exist within the brain (see figure 9 below).

    Thanks to studies of relevant disorders such as Parkinson’s and Huntingdon’s, it is known that this pathway is associated with behaviour initiation and selection based on adaptive criteria.

    Figure 9: Pathways forming a circuit from Cortex to Basal Ganglia to Thalamus and back to Cortex. Image source.

    Lifecycle of an idea

    Using our interpretation of biological general intelligence, we can follow the lifecycle of an idea from the conception to execution. Lets walk through the theorized response to a stimulus, resulting in an action.

    Although the brain is operating constantly and asynchronously, we can define the start of our idea as some sensory data that arrives at the visual cortex. In this example, it’s an image of an ice-cream in a shop.

    Objective Modelling

    Sensor data propagates unfiltered up the Feed-Forward Direct pathway, activating cells in C4 and C2/3 in numerous cortical areas as it is transformed into its hierarchical form. The visual stimuli become a rich network of associated concepts, including predictions of near-future outcomes, such as experiencing the taste of ice-cream. These concepts represent an objective external reality and are now active and available for attention.

    Subjective Prediction

    Activity within the Objective system triggers activity in the Subjective system. Some C5 cells become “predicted”, but are inhibited by the Thalamus. These cells represent potential future actions and outcomes. Things that, from experience, we know are likely to occur after the current situation.

    The Cortex projects data from C2/3 to the Striatum where it is weighted according to reward criteria. A strong response to the flavour of the frozen treat percolates through the Basal Ganglia and manipulates the activity of the Thalamus.

    Between the Thalamus and the Cortex, an iterative negotiation takes place resulting in the selection (via dis-inhibition) of some C5 cells. The Basal Ganglia have learned which manipulations of the Thalamus maximize the expected Reward given the current input from Cortex.

    The way that the Thalamus stimulates particular C5 cells is somewhat indirect. The path of activity to “select” C5 cells in layer n is C5[n-1] →  Thalamus → C4[n] → C5[n]. The signal is re-interpreted at each stage of this pipeline – that is, connections do not carry a specific meaning from point to point. Therefore, you can’t just adjust one “wire” to trigger a particular C5 cell. Rather, you must adjust the inhibition of input to many C4 → C5 cells until you’ve achieved the conditions to “select” a target C5 cell. Many target C5 cells might be simultaneously selected.

    In addition to requiring disinhibition, C5 cells also wait for specific patterns of cell activity in C2/3 prior to becoming “predicted”. This means that it’s very difficult to select a C5 cell that is not “predicted”; it simply doesn’t have the support to out-compete its neighbours in the column and become “selected”. This prevents unrealistic outcomes being “selected”, or output commencing, before the right circumstances have arrived to match the expectation.

    Eventually, a subset of C5 cells become “predicted” and “selected”, representing a subjective model of potential futures for the agent in the world. In this case, the anticipated future involves eating ice-cream.

    Execution

    When C5 cells become active, they in turn drive C6 pyramidal cells that are responsible for causing the future represented by “contextual, selected & predicted” C5 cells. In this case, C6 cells are charged with executing the high-level plan to “buy some ice-cream and eat it”.

    The plan is embodied by many C5 cells, distributed throughout the hierarchy; each represents a subset of the “qualia” relating to the eating of ice-cream. C6 cells begin to interpret these C5 cells into concrete actions, via the C6-C6 Feed-Back Direct pathway. Crucially, they no longer require the Thalamus to modulate the input that makes C5 cells “selected”. Instead, C6 cells stimulate C5 and C6 cells in hierarchically-lower Columns directly, moving them to “selected” status and allowing them to become active as soon as the corresponding Feed-Forward evidence arrives to match.

    C6 cells also modulate relay cells in the Thalamus, guiding the Thalamus to disinhibit C5 cells in lower hierarchy regions. This helps to ensure the parts of the decomposed plan are executed as intended. In turn, these newly selected “lower” C5 cells drive associated C6 cells, and the plan cascades down the hierarchy.

    Note that the plan is also flowing in the “forward” direction, as it incrementally becomes reality rather than expectation. As motor actions take place, they are sensed and signalled through the Feed-Forward pathways. When C5 cells become “selected”, this information becomes available to higher columns in the hierarchy, if not filtered. This also helps the Feed-Forward Indirect pathway and C6 cells to keep track of activity and execute the plan in a coordinated manner.

    At the lowest levels of the hierarchy, the plan becomes a sequence of motor activity, which is activated by C5 cells directly, and also by other brain components that are not covered by our general intelligence model.

    A few moments later, the ice-cream is enjoyed, triggering a release of Dopamine into the Striatum and reinforcing the rewards associated with recent active Cortical input. Delicious!

    Summary

    In the previous articles we explored the characteristics of a general intelligence and looked at some of the features we expected it to have. In part 2 and part 3 we reviewed some relevant computational neuroscience research. In this article we’ve described our interpretation of this background material.

    We presented a model of general intelligence built from 3 interacting systems – Objective, Subjective and Executive. We described how these systems could learn and bootstrap via interaction with the world, and how they could be implemented by the anatomy of the brain. As an example, we traced an experience from sensation, through planning and to execution.

    Let’s assume that our understanding of biology is approximately correct. We can use this as inspiration to build an artificial general intelligence with a similar architecture and test whether the systems behave as described in these articles.

    The next article in this series will look specifically at how these concepts could be implemented in software, resulting in a system that behaves much like the one described here.

    action selection/AGI/Architecture/Artificial General Intelligence/columns/Consciousness/cortex/Memory-Prediction Framework/Neocortex/pyramidal cell/Thalamocortical/Thalamus

    How to build a General Intelligence: Circuits and Pathways

    Posted by ProjectAGI on
    How to build a General Intelligence: Circuits and Pathways
    Figure 1: Our headline image is from the Cognitive Consilience: An atlas of key pathways cross-referenced to supporting literature articles. The complexity and variety of routing within the brain can be appreciated with this beautiful illustration. Note in particular the specialisation of cortical cells and the way this affects their interactions with other cells in the cortex and elsewhere in the brain. Explore this fantastic resource yourself.

    By David Rawlinson and Gideon Kowadlo

    This is part 3 of our series “how to build an artificial general intelligence” (AGI). Part 1 was a theoretical look at General Intelligence (follow the link if you don’t know what General Intelligence is).

    We believe that the Thalamo-Cortical system is the origin of General Intelligence in people. In Part 2 we presented very broadly how the Thalamo-Cortical system is structured and organised. We applied some core concepts, such as hierarchy, to help us describe the system.

    We also looked at the cellular structure of the Cortex and in particular introduced Pyramidal cells.

    This article is again about what we can learn from reverse-engineering the Thalamo-Cortical system, but this time from its connectivity, which we present in terms of circuits and pathways.

    Pathways and Circuits

    A pathway is a gross pattern of sequential connectivity between brain regions – for example, if part A is highly connected to part B, and activity in A is followed by activity in B, we say there exists a pathway between A and B. Cells in the Thalamo-Cortical system are connected to each other in quite restricted and specific ways, so these pathways are quite informative.

    Circuits are more specific and precise details of both connectivity and functional interaction between neurons. In computational neuroscience there exists a concept called the Canonical Cortical Micro-Circuit. The specifics of this circuit are not widely agreed, because (a) the Cortex is complex and (b) many of the evidence-gathering exercises are statistical observations (e.g. “X% of outputs from A and Y% of output from B projects to region C”) which may obscure fundamental functional or topological features. For example, outputs from A and B may project to cells with exclusive roles, but physically co-located in C. Statistical, regional approaches will not capture such distinctions.

    In the neuroscience literature there’s a frustrating habit of selectively reporting supporting details while ignoring others. Perhaps this is simply because it’s impossible to describe any part exhaustively. In particular, there is a lot of contradictory information about Cortical circuits. But the research can still shed some light on what is happening. Just don’t expect all sources to be consistent or complete!

    Key Cortical Pathways

    There are several widely-cited and well established cortical pathways (i.e. routes with at least one end in the Cortex). To understand these, it is important to remember both the physical and logical structure of the Cortex as described in the previous article. Physically, the cortex is made of layers, and logically, Columns within the Cortex form a hierarchy.

    The hierarchy defines a structure made of Columns, and determines which Columns interact. Pathways describe the patterns of interaction between cells within a Column, and between Columns. We assume that all Columns are functionally identical prior to training.

    Cells within Columns are usually identified by both the physical location of cell bodies within particular Layers in the Column, and by the morphology (shape) of the cell. Data flow to and from Cortical cells is largely restricted to a handful of core pathways that begin and terminate in particular cell types in specific cortical layers.

    There are many descriptions of cortical pathways and circuits in the literature. We will first introduce just 4 well-established cortical-cortical pathways, and then some thalamo-cortical pathways. Note that although the existence of these pathways is unambiguous, their purpose and function is poorly understood. They appear to be consistent across various somatosensory regions of the cortex, especially in comparison to variations in other brain tissues.

    Hawkins’ Hierarchical Temporal Memory (HTM) introduces 3 of the 4 pathways in a single, coherent scheme and relates them to a general intelligence algorithm. We will borrow this terminology and describe them in detail below. Their names describe the direction of data flow and the routing used:

    Feed-Forward Direct Pathway: C2/3 → C4 → C2/3
    Feed-Forward Indirect Pathway: C5 → Thalamus → C4 → C2/3
    Feed-Back Direct Pathway #1: from C6 → C1

    We are also interested in a second Feed-Back Direct “pathway” implemented by cortically projecting C6 pyramidal cells with axons that terminate in both C6 and C1 in hierarchically lower regions (see here for a diagram).

    Feed-Back Direct Pathway #2: from C6 → C6

    Note that cells in all cortical layers (except, perhaps, C4) receive input via their dendrites in C1. In other words, feedback from C6 to C1 is then used as input to many layers. Feedback from C6 to C6 is generally not input for other layers.

    In neuroscience, Feed-Forward usually means the flow of data away from external sources such as sensors (towards greater abstraction, if you believe in a cortical hierarchy). Feed-Back means the opposite – data flow towards regions that have direct interaction with external sensors and motors.

    Direct pathways are so-called because data is routed directly from one cortical column or region to another, without a stop along the way. Indirect pathways are routed via other structures. The  “Feed-Forward-Indirect” pathway described by Hawkins is routed via the Thalamus.

    Figure 2, derived from a Hawkins/Numenta publication, shows graphically how information flows between columns and between layers within columns, as part of these 3 pathways according to the HTM theory. As mentioned before, the community is welcome to contribute by updating and adding to the figure.

    Hawkins assigns specific roles to these pathways, but we will be re-interpreting them in the next article.

    Figure 2: Routing of 3 core pathways, based on a diagram from the HTM/CLA White Paper. Note the involvement of specific cortical layers with each pathway, and the central role of the Thalamus. The names of the pathways indicate direct (cortex-to-cortex) and indirect (cortex-thalamus-cortex) variants, with direction being either forward (away from external sensors and motors, towards increasing abstraction) or backward (towards more concrete regions dealing with specific sensor/motor input). 

    The role of the Thalamus

    Let’s recap: The Cortex is composed of Columns, organised into a hierarchy. Cells pass messages directly to other Columns that are higher or lower in the hierarchy. Messages may also be transmitted indirectly between Columns, via the Thalamus.

    The Thalamus is often viewed as having a gating or relaying function. The Thalamus is particularly associated with control of attention.

    This section will describe indirect pathways involving the Thalamus. Figure 3 is a reproduction of a figure from Sherman and Guillery (2006) that has two new features of interest. These authors use the terminology “first order” to denote cortical regions receiving direct sensor input and “higher order” to denote cortical regions receiving input from “first order” cortical regions. This corresponds with the notion of hierarchy levels 1 and 2.

    The Thalamus is a significant part of the “Feed-Forward Indirect” pathway. This pathway originates at Cortex layer 5 and propagates to a nucleus in the Thalamus. There, the nucleus may react by transmitting a (presumably corresponding) signal to one or more other Cortical Columns, in a different region. In some theories of cortical function, the target Column is conceptually “higher” in the hierarchy. The Thalamic input enters the Cortex via Thalamic axons terminating in Cortex layer 4 and is then propagated to Cortex Layer 5 where the pathway begins again.

    Figure 3 also shows Cells in Columns in Cortex layer 6 fairly accurately form reciprocal modulatory connections to Thalamic nuclei that provide input to the Column via C4 and C5! Therefore, a Column within the Cortex has influence on data that it receives from the Thalamus. In effect, the Cortex is not a passive recipient but works with the Thalamus to control its input. The figure also depicts C6 cells projecting to C6 in lower regions (our second feedback pathway).

    Figure 3: Pathways between cortical columns in different regions, showing layer involvement in each pathway and the role of the Thalamus. Sherman and Guillery use the terminology “first order” to denote cortical regions receiving direct sensor input and “higher order” to denote cortical regions receiving input from lower (e.g. “first order”) cortical regions. This corresponds with the notion of hierarchy levels 1 and 2. Note that in addition to the 3 pathways shown in the previous figure, we see additional direct feedback pathways and reciprocal feedback from Cortex layer 6 to the Thalamic nuclei that stimulate the cortical region. Image source.

    Motor output

    At this point it is interesting to look at how the Cortex can influence or control behaviour, particularly the generation of motor output. There are two pathways that allow the cortex to influence or control behaviour:

    Cortical Control: Basal Ganglia → Thalamus → Cortex → Motors
    Cortical Influence: Cortex → Basal Ganglia → Motors

    Note that in both cases, the origin of action selection is the Basal Ganglia. In the first case, the Basal Ganglia control signals emitted by the Thalamus, with these signals in turn affecting activity within Cortex layer 5 (C5). C5, particularly in motor areas, has been studied in detail. 10-15% of the cells in these areas are very large pyramidal neurons known as Betz cells, that can be observed to drive muscles very directly with few synapses in between. These cells are more prevalent in primates and are especially important for control of the hands. This makes sense given that manual tasks are typically more complex and require greater dexterity than movements by other parts of the body. The human Cortex is believed to be crucial for innovative and sophisticated manual tasks such as tool-making.

    Within the Cortical layers, C5 seems to be uniquely involved in motor output. Figure 4 shows some of the ways output from Pyramidal cells in C5 project output to areas of the brain associated with motor output and control. In contrast, pyramidal cells in C2/3 predominantly project to other areas of the cortex and are not directly involved in control.

    Figure 4: Pyramidal cells in C5 project output to areas of the brain associated with motor output and control. In contrast, pyramidal cells in C2/3 predominantly project to other areas of the cortex and are not directly involved in control. Image source.

    The second way that the Cortex can influence motor output is via the Basal Ganglia. In this case, we propose that the Cortex might provide contextual information to assist the Basal Ganglia in its direct control outputs, but we found no evidence that the Cortex is able to exert control over the Basal Ganglia.

    We suggest Cortical influence over the Basal Ganglia is less interesting from a General Intelligence perspective, because the hierarchical representations formed within the Cortex are not exploited, and execution is performed by more ancient brain systems not associated with General Intelligence qualities.

    For the rest of this article series, we will ignore control pathways that do not involve the Cortex,  and will focus on direct control output from Cortex layer 5.

    Action Selection

    It is widely believed that action selection occurs within the flow of information from Cortex through the Basal Ganglia, a group of deep, centralised brain structures adjacent to the Thalamus. There are a number of theories about how this occurs, but it is generally believed to involve a form of Reinforcement Learning used to select ideas from the options presented by the Cortex, with competitive mechanisms for clean switching and conflict resolution.

    A major output of the Basal Ganglia is to the Thalamus; one prevailing theory of this relationship is that the Basal Ganglia controls the gating or filtering function performed by the Thalamus, effectively manipulating the state of the Cortex in consequence. The full loop then becomes Cortex → Basal Ganglia → Thalamus → Cortex (see Wikipedia for a good illustration, or figure 5).

    As discussed above, this article will focus on motor output generated directly by the Cortex.

    Figure 5: Pathways forming a circuit from Cortex to Basal Ganglia to Thalamus and back to Cortex. Image Source.

    Canonical Cortical Circuit

    We now have the all the background information needed to define a “Canonical Cortical micro-Circuit” at a cellular level. All the information presented so far has been relatively uncontroversial, but this circuit is definitely our interpretation, not an established fact. However, we will present some evidence to (inconclusively) support our interpretation.

    Figure 6: Our interpretation of the canonical cortical micro-circuit. Only a single cortical region or Column is shown. Arrow endings indicate the type of connection – driver, modulator or inhibitor. The numbers 2/3, 4, 5, and 6 refer to specific cortical layers. Each shape represents a set of cells of a particular type, not an individual cell. Self-connections and connections within each set are not shown, but often exist. Shapes T and B refer to Thalamus and Basal Ganglia, not broken down into specific cell layers or types. Data enters the diagram at 4 points, labelled A-D, but does not exit; in general the system forms a circuit not a linear path. Note that shape T occurs twice, because the circuit receives data from only one part of the Thalamus but projects to two areas in forward and backward directions.

    Diagram Explanation

    We will use variants of the diagram shown in figure 6 to explain our interpretation of cortical function. In this diagram, only a single Cortical region or Column (used interchangeably here) is shown. In later diagrams, we will show 3 hierarchy levels together so the flow of information between hierarchy levels is apparent.

    In these diagrams, shapes represent a class of Neurons within a specific Cortical Layer. The numbers 2/3, 4, 5 and 6 refer to the Cortical layers in which these cell classes occur. The shapes labelled T and B refer to the Thalamus and Basal Ganglia (internal cell types and layers are not shown). Arrows on the diagram show the effect of each connection, either driving (providing information or input that causes another cell to become active), modulation (stimulating or inhibiting the activity of a target cell) or inhibition (exclusively inhibiting the activity of a target cell).

    If you want more detail on the thalamic end of the thalamocortical circuitry, an excellent source is this paper by Sherman.

    There are many interneurons (described in the previous article) that are not shown in this diagram. We chose to omit these because we believe they are integral to the function of a layer of pyramidal cells within a Column, rather than an independent system. Specifically, we suggest that inhibitory interneurons implement local self-organising and local competitive functions (e.g. winner-take-all), ensuring sparse activation of the cell types represented by shapes in our diagram (C2/3, C4, C5, and C6). The self-organising behaviour also ensures that cells within each column optimise coverage of observed input patterns given a finite cell population. Inclusion of the interneurons would clutter the diagram without adding much explanatory value.

    We also omit self-connections within a class of cells represented by a shape. These self-connections likely provide context and contribute to learning and exclusive activity within the class, but don’t make it easier to understand circuits in terms of cortical layers and hierarchy levels.

    Excitatory Circuit

    Figure 7 shows a multilevel version of the cortical circuit, similar to the multi-level figure from Sherman and Guillery (figure 3). We can now understand where the inputs to the circuit come from, in terms of other layers and external Sensors (S) and Motors (M). Note that Motors are driven directly from C5.

    Figure 7: The cortical micro-circuit across several levels of Cortex with involvement of Thalamus and Basal Ganglia. The red highlight shows a single excitatory ‘circuit’. See text for details.

    The red path in figure 7 shows our excitatory “canonical circuit”: Data flows from the Thalamus to spiny stellate (star-shape in figures) cells in C4 (see source and source), from where it propagates to pyramidal cells in C2/3, and then to pyramidal cells in C5. C6 is known as the multiform layer, but also contains many pyramidal cells of unusual proportions and orientations. C6 cells are driven by C5, and in turn modulate the Thalamus. Note that C6 cells within a region modulate the same Thalamic nuclei that provide input to that region of Cortex.

    Inhibitory Circuit

    A second, inhibitory circuit exists alongside our excitatory circuit. In addition to providing input to the Cortex via C4, axons from the Thalamus also drive inhibitory Parvalbumin-expressing (PV) neurons in C4 (shown as circles in the diagram). These inhibitory neurons make up a large fraction of all the cells in C4, and inhibit pyramidal cells in C5 (see source or source ).

    This means that the input from the Thalamus can be both informative and executive. It is executive in that it actually manipulates the activity of layer 5 within the Cortex, and informative by providing a copy of the signal driving the manipulation to C4. Figure 8 shows our inhibitory circuit. We believe this circuit is of critical importance because it provides a mechanism for the Thalamus to centrally manipulate the state of the Cortex, specifically layer 5 and 6 pyramidal cells. This hypothesis will be expanded in the next article.

    Figure 9 catalogues inhibitory cells, notably showing the cells used in our inhibitory circuit.

    Figure 8: The inhibitory micro-circuit. The red highlight shows how the Thalamus controls activity in C5 within a Column by activating inhibitory cells in C4. The circuit is completed by C5 pyramidal cells driving C6 cells, which in turn modulate the activity of the same Thalamic nuclei that selectively activates C5. Each shape denotes a population of cells of a specific type within a single Column, excluding ‘T’ and ‘B’ that refer to the Thalamus and Basal Ganglia respectively.
    Figure 9: Inhibitory interneurons in the Cortex. Of particular interest are the “PV” cells that are driven by axons from the Thalamus terminating in layer 4 and in turn inhibit pyramidal cells in layer 5. Image source

    Pathways and the Canonical Circuits

    Now let’s look at how pathways emerge from our cortical micro-circuit. Figures 10, 11, 12 show the Feed-Forward Direct, Feed-Forward Indirect and first Feed-Back pathways respectively. We also include another direct, Feed-Back pathway terminating at C6 (figure 13). Feed-back direct pathways terminating at C1, where many fibres are intermingled, are harder to interpret than feedback terminating directly at C6. Pyramidal neurons from many layers have dendrites in C1.

    Figure 10: Feed-Forward Direct pathway within our canonical cortical micro-circuit.

    Figure 10 highlights the Feed-Forward direct pathway. Signals propagate from C4 to C2/3 and then to C4 in a higher Column. This pattern is repeated up the hierarchy. This pathway is not filtered by the Thalamus or any other central structure. Although activity from C2/3 propagates to C5, it does not ascend the hierarchy via this route: C5 in one Column does not directly connect to C5 in a higher Column, only via an indirect pathway (see below).

    Figure 11: Feed-Forward Indirect pathway.

    Figure 11 highlights the Feed-Forward Indirect pathway. The Thalamus is involved in this pathway, and may have a gating or filtering effect. Data flows from the Thalamus to C4, to C2/3, to C5 and then to a different Thalamic nucleus that serves as the input gateway to another cortical Column in a different region of the Cortex.

    Figure 12: The first of two Feed-Back Direct pathways.

    Figure 12 highlights the first type of Feed-Back Direct pathway. This pathway may be more concerned with provision of broader and more abstract (i.e. hierarchically higher) contextual information to be used in the Feed-Forward pathways for better prediction. This suggestion is supported by evidence that axons from C6 via C1 synapse with apical dendrites of pyramidal cells in C2/3, C5 and C6, in hierarchically lower regions.

    Figure 13 highlights the second of two Feed-Back Direct pathways. This pathway might be involved in cascading control activity down the hierarchy towards sensors and motors – the next article will expand on this idea. Activity propagates from C6 to C6 directly. C6 modulates the activity of local C5 cells and relevant Thalamic nuclei that drive local C5 cells. Note that connections from a Column to the Thalamus are reciprocal; feedback from C6 to the Thalamus targets the same nuclei that project axons to C4.

    Figure 13: The second of two Feed-Back Direct pathways.

    Summary

    We’ve presented some additional, detailed perspectives on the organisation and function of circuits and pathways within the Thalamo-Cortical system and presented our interpretation of the canonical cortical micro-circuit.

    So what’s the point of all this information? What do these circuits and pathways do, and why are they connected this way? How do they work?

    It might seem that we’ve stopped short of really trying to interpret all this information and that’s because we are, indeed, holding back. After having spent so much time presenting background information, the next article finally attempts to understand why the thalamocortical system is connected in the ways described here, and how this system might give rise to general intelligence. 

    AGI/columns/hierarchy/neurobiology/Thalamocortical

    How to Build a General Intelligence: Reverse Engineering

    Posted by ProjectAGI on
    How to Build a General Intelligence: Reverse Engineering
    Figure 1: The physical architecture of general intelligence in the brain, namely the Thalamo-Cortical system. The system comprises a central hub (the Thalamus) surrounded by a surface (the Cortex, shown in blue). The Cortex is made up of a number of functionally-equivalent units called Columns. Each Column is a stack of cell layers. Columns share data, often via the central hub. The hub filters the data relayed between Columns.

    Authors: Rawlinson and Kowadlo

    This is part 2 of our series on how to build an artificial general intelligence (AGI). This article is about what we can learn from reverse-engineering mammalian brains. Part 1 is here.

    The next few articles will try to interpret some well-established neuroscience in the context of general intelligence. We’ll ignore anything we believe is unrelated to general intelligence, and we’ll simplify things in ways that will hopefully help us to think about how general intelligence happens in the brain.

    It doesn’t matter if we are missing some details, if the overall picture helps us understand the nature of general intelligence. In fact, excluding irrelevant detail will help, as long as we keep all the important bits!

    These articles are not peer reviewed. Do assume everything here is speculation, even when linked to a source reference (our interpretation may be skewed). There isn’t space to repeatedly add this caveat throughout these articles.

    1. Physical Architecture

    First we’ll review and interpret the gross architecture of the brain, focusing on the Thalamo-Cortical system, which we believe is primarily responsible for general intelligence.

    The Thalamo-Cortical system comprises a central hub (the Thalamus and Basal Ganglia), surrounded by a thin outer surface (the Cortex). The surface consists of a large number of functionally-equivalent units, called Columns. The Cortex is wrinkled so that it’s possible to pack a large surface area into a small space.

    Why are the units called Columns? It’s the physical structure of their connectivity patterns. Cells within each Column are highly interconnected, but connections to cells in other Columns are fewer and less varied. Columns occupy the full thickness of the surface, approximately 6 distinct layers of cells. Since these layers are stacked on top of each other and are loosely connected between stacks, we have the appearance of a surface made of Columns.

    Confusingly, there are both Macro and Micro-Columns, and these terms are used inconsistently. In these articles we will simply say ‘Column’ when referring to a Macro-Column as defined in a previous post.

    In the previous article we described the ideal general intelligence as a structure made of many identical units that have each learned to play a small part in a distributed system. These theoretical units are analogous to Columns in real brains.

    Columns can be imagined to be independent units that interact by exchanging data. However, data travelling between Columns often takes an indirect path, via the central hub.

    The hub filters messages passed between Columns. In this way, the filter acts as a central executive that manages the distributed system made up of many Columns.

    We believe this is a fundamental aspect of the architecture of general intelligence.

    In mammalian brains, the filter function is primarily the role of the Thalamus, although its actions are supported and modulated by other parts, particularly the Basal Ganglia.

    Other brain components, such as the Cerebellum, are essential for effective motor control but maybe not essential for general intelligence. They are not within the scope of this article.

    2. Logical Architecture

    The Cortex has both a physical structure (a layered surface, partitioned into columns) and a logical structure. The logical structure is a hierarchy – a tree-like structure that describes which columns are connected to each other (see figure 2).

    Connections between columns are reciprocal: “Higher” columns receive input from “Lower” columns, and return data to the same columns. This scheme is advantageous: Higher columns have (indirect) input from a wider range of sources; lower columns use the same resources to model more specific input in greater detail. This occurs naturally because each column tries to simplify the data it outputs to higher columns, allowing columns of fixed complexity to manage greater scope in higher levels, as data is incrementally transformed and abstracted.

    Only Columns in the lowest levels receive external input and control external outputs (albeit, often indirectly via subcortical structures).

    Figure 2: The logical architecture of the cortex, a hierarchy of Columns. The hierarchy gives us the notion of “levels”, with the lowest level having external input and output, and higher levels being increasingly abstract. The logical architecture is superimposed on the physical architecture. Note that inter-Column connections may be gated by the central hub (not shown).

    Note that there are not necessarily fewer columns in each hierarchy level; there may be, but this is not essential. However, abstraction increases and scope broadens as we move to higher hierarchy levels.

    We can jump between the physical and logical architectures of the Cortex. Moving over the surface implies moving within the hierarchy. It also implies that moving between areas we will observe responses to different subsets of input data. Moving to higher hierarchy levels implies an increase in abstraction. We can observe this effect in human brains, for example by following the flow of information from the processing of raw sensor data to more abstract brain areas that deal with language and understanding (see figure 3).

    Figure 3: Flow of information across the physical human Cortex also represents movement higher or lower in the logical hierarchy (increasing or decreasing abstraction). In fact, we can observe this phenomenon in human studies. Different parts of the hierarchy are specialised to conceptual roles such as understanding what, why and where things are happening. Image source

    One final point about the logical architecture. The hierarchical structure of the Cortex is mirrored in the central hub, particularly in the Thalamus and Basal Ganglia, where we see the topology of the cortical Columns preserved through indirect pathways via central hub structures (figure 4).

    Figure 4: Data flows between different Columns within the Cortex either directly, or via our conceptual “central hub”. Our hub includes Basal Ganglia such as the Striatum, and the Thalamus. Throughout this journey the topology of the Cortex is preserved. Image source.

    3. Layers and Cells

    Each Column has approximately 6 distinct “layers”. Like every biological rule, there are exceptions; but it suffices for the level of detail we require here. The layers are visual artefacts resulting from variations in cell type, morphology, connectivity patterns and therefore function between the layers (figure 5).

    Figure 5: Various stainings showing variation in cell type and morphology between the layers of the Cortex. Image source.

    The Cortex has only 5 functional layers. Structurally, it has 6 gross layers; but one layer is just wires; no computation. In addition, the functional distinction between layers 2 and 3 is uncertain, so we will group them together. This gives us just 4 unique functional layers to explain.

    We will use the notation C1 … C6 to refer to the gross layers:

    • C1 – just wiring, no computation; not functional
    • C2/3 (indistinct)
    • C4
    • C5
    • C6 (known as the “multiform” layer due to the variety of cell types)

    The cortex is made of a veritable menagerie of oddly shaped cells (i.e. Neurons) that are often confined to specific layers (see figure 6). Neurons have a body (soma), dendrites and axons. Dendrites provide input to the cell, and reach out to find that data. Axons transmit the output of the cell to places where it can be intercepted by other cells. Both dendrites and axons have branches.

    Figure 6: Some of the cell types found in different cortical layers. Image source

    An important feature of the Cortex is the presence of specialized Neuron cells with pyramidal Soma (bodies) (figure 7). Pyramidal cells are predominantly found in C2/3, C5 and C6. They are very large and common cells in these layers.

    Pyramidal cells do not behave like classical artificial neurons. We agree with Hawkins’ characterisation of them. Pyramidal cells have two or three dendrite types: Apical (proximal or distal) dendrites and Basal dendrites. Distal Apical dendrites seem to behave like a classical integrate-and-fire neuron in their own right, requiring a complete pattern of input to “fire” a signal to the body of the cell. In consequence, each cell can respond to a number of different input patterns, depending on which apical dendrites become active from their input.

    Hawkins suggests that the Basal dendrites provide a sequential or temporal context in which the Pyramidal cell can become active. Output from the cell along its axon branches  only occurs if the cell observes particular instantaneous input patterns in a particular historical context of previous Pyramidal cell activity.

    Within one layer of a Column, Pyramidal cells exhibit a self-organising property that results in sparse activation. Only a few Pyramidal cells respond to each input stimulus. The Pyramidal cells are powerful pattern and sequence classifiers that also perform a dimensionality-reduction function; when active, the activity of a single Pyramidal cell represents a pattern of input over a period of time.

    The training mechanism for sparsity and self-organisation is local inhibition. In addition to Pyramidal cells, most of the other Neurons in the Cortex are so-called “Interneurons” that we believe play a key role in training the Pyramidal cells by implementing a competitive learning process. For example, Interneurons could inhibit Pyramidal cells around an active Pyramidal cell ensuring that the local population of Pyramidal cells responds uniquely to different input.

    Unlike Pyramidal cells, which receive input from outside the Column and transmit output outside the Column, Interneurons generally only work within a Column. Since we consider Interneurons play a supporting role to Pyramidal cells, we won’t have much more to say about them.

    Figure 7: A Pyramidal cell as found in the Cortex. Note the Apical and Basal dendrites, hypothesised to recognise simultaneous and historical inputs patterns respectively. The complete Pyramidal cell is then a powerful classifier that when active represents a particular set of input in a specific historical context. Image source

    Summary

    That’s all we feel is necessary to say about the gross physical structure of the Thalamo-Cortical system and the microscopic structure of its cells and layers. The next article will look at the circuits and pathways by which these cells are connected, and the computational properties that result.
    columns/cortex/Neocortex

    A nomenclature for Cortical Columns and related concepts.

    Posted by ProjectAGI on

    By Gideon Kowadlo and David Rawlinson

    In our last blog post, we discussed the repeating functional columnar structure of the neocortex, and the inconsistent terminology used to discuss it throughout the literature. As mentioned in that post, the function of the column is an important concept for understanding the function of the neocortex, and as a consequence, for designing algorithms that are inspired by the neocortex. We therefore require a clear nomenclature for discussing and working with these concepts.

    As promised, here is a follow-up post with definitions of columns and associated concepts. The definitions are based on a paper by Rinkus [1] (introduced in the previous post). For decades it was widely accepted that the structure of columns in the neocortex is uniform across species and individuals. Recent studies have shown that to be not entirely correct [3] (summarised here and in [4] ). Rinkus provides a well founded functional basis for the definition of columns. This approach is more meaningful and robust, and directly relevant to understanding the neocortex algorithmically.

    Illustration of layers and columns in the neocortex.
    Reproduced from “Basic Cerebral Cortex Function with Emphasis on Vision” by Ben Best.

    Layer

    Function

    Defining the cortical layers is necessary for discussions on cortex. The cortex is a surface that consists of several layers of cells. The density, morphology and function of cells varies between layers. The distribution of connections to other layers varies for each layer, but is relatively constant within a layer.

    Although cells in any layer may connect to cells in all other layers, they do this only for cells within the same macrocolumn.

    This means that columns extend through all cortex layers. Columns are organised perpendicularly to layers. Since the layers consist of different patterns of cell connectivity and type, layer distinctions are also functional distinctions.

    Anatomy

    Typically 5-7 layers, described as:

    • L1 Molecular Layer
    • (non-cellular, just axons)
    • [L2, L3] Small pyramidal cells (of two sizes)
    • L4 Spherical neurons.
    • [L5a, L5b] Large pyramidal cells (a & b often distinguished)
    • L6 multiform layer

    Macrocolumn (also referred to as a Region or Hypercolumn)

    Function

    “The function of a macrocolumn is to store sparse distributed representations of its overall input patterns, and to act as a recognizer of those patterns.” [1]

    Overall input includes bottom up input from thalamus and lower cortical areas, top down from higher cortical areas and horizontal from adjacent cortical areas. This is also referred to as the context. The macrocolumn responds to context dependent input patterns.

    A standard definition of a macrocolumn is a set of cells that have the same receptive field. In this definition, we specify that all cells in the macrocolumn don’t necessarily have same learned receptive field, but the same potential receptive field.

    Anatomy

    • 300–600 μm
    • 60 – 80 minicolumns per macrocolumn

    Minicolumn

    Function

    A subset of cells in the macrocolumn, for which there is a winner take all (WTA) cell, for a given macrocolumn context (overall input pattern). According to this definition, the function of the minicolumn is to enforce sparseness.

    The fact that there is only one winner results in an SDR in the macrocolumn. Therefore, the macrocolumn output contains a signal from 1 winning cell in each minicolumn, in each layer (~70 cells in total per layer). In most implementations, WTA is implemented with a competitive process.

    A standard definition of a minicolumn is that all cells within it describe a similar feature within that the receptive field of the macrocolumn. This will occur in most cases, but it emerges from the function, which is the basis of our definition.

    Anatomy

    • ~20 cells (physically localised)
    • 20–50 μm

    Potential Receptive Field

    Function

    A set of input bits that can be connected to a cell.

    Anatomy

    A set of axons that potentially could be synapsed by the dendrites of a neuron.

    Learned Receptive Field

    Function

    The actual set of input bits synapsed to a cell after learning and the effects of mutual inhibition or self-organisation with its neighbours.

    Anatomy

    The synapses formed by the dendrites of a neuron on input axons.

    Many researchers believe that the set of active cells in a single macrocolumn layer can be described as a Sparse Distributed Representation (SDR). We assume this to be the case in our definitions. SDRs can be understood as having the following properties:

    • Attributes
    • Compositionality
    • Distribution

    SDR: Attributes

    A subset of an SDR that has some semantic meaning; 1 or more bits, NOT the whole set of active bits in an SDR.

    SDR: Compositionality

    Compositionality of SDRs emerges from the fact that an SDR contains many attributes in combination.

    SDR: Distributed

    A distributed representation is one that consists of multiple attributes, those attributes can exist independently, be shared between representations and overlap.

    References

    [1] Rinkus G.J., “A cortical sparse distributed coding model linking mini- and macrocolumn-scale functionality”, Frontiers in Neuroanatomy, vol. 4, no. 17, 2010.[2] Rakic P., “Confusing cortical columns”, Proceedings of the National Academy of Sciences, vol. 105, no. 34, 2008.[3] Meyer, Hanno S., et al. “Cellular organization of cortical barrel columns is whisker-specific.Proceedings of the National Academy of Sciences, vol. 110, no. 47, 2013.[4] Herculano-Houzel, Suzana, et al. “The basic nonuniformity of the cerebral cortex.Proceedings of the National Academy of Sciences, vol. 105, no.34, 2008.
    columns/cortex/Neocortex

    Mini, macro, micro and hyper columns: confusing terminology

    Posted by ProjectAGI on

    Cell-type-specific 3D reconstruction of five neighboring barrel columns in rat vibrissal cortex
    (credit: Marcel Oberlaender et al.)

    It is well established that there is a functional columnar structure repeated throughout the cortex across species (the concept received significant attention after a study by Mountcastle in 1957 [1]; see [2] and [3] for reviews). This suggests a universal cortical algorithm, which is fascinating if you are trying to understand the computational underpinnings of the mind from a biological perspective, or like us, to implement AI aided by learnings from neural principles.

    Assuming that there is in fact a universal cortical algorithm, we would like to define the column, and understand its function through first understanding how it is composed. It’s possible to find a columnar structure at multiple scales, which has produced a range of terms in the literature, from micro-column to mini-column, to macro and hyper-column. Many studies have approached it differently, leading to inconsistent definitions. It can be really confusing to switch between sources that make different assumptions. This has caused us to confuse ourselves as well, alternating between different internal definitions over time.

    The situation is beautifully expressed by Rakic in [4] below.

    “Although the anatomical and functional columnarity of the neocortex has never been in doubt, the size, cell composition, synaptic organization, expression of signaling molecules, and function of various types of “columns” are dramatically different. Columns could be defined by cell constellation, pattern of connectivity, myelin content, staining property, magnitude of gene expression, or functional properties. For example, there are ocular dominance columns, orientation columns, hypercolumns, and color columns, to mention only those described in the primary visual cortex (12), that differ from each other as well as from the columns of the alternating callosal and ipsilateral projection in the frontal lobe (8) or various minicolumns advocated by Szentgahotai (7), Eccles (9), Buxhoeveden and Casanova (10), and a more recent detailed reconstruction of barrel field columns by Sakmann and colleagues (13) and their visibility in vivo by neuroimaging (14). The only connections between these diverse structures and concepts is that they refer to the vertical or radial columnar organization of its elements as opposed to the horizontal or laminar organization that is more explicit in histological preparations of the mature neocortex. Thus, the term cortical “column” is used in so many ways that it can be very confusing to the nonspecialist if not more precisely defined.”

    See original paper for the quoted included citations.

    This quote is from an editorial in PNAS, where Rakic discusses a paper in that edition which disproves a long held belief that the anatomy of the cortex is uniform. This may appear to undermine the notion of a universal cortical algorithm, but it is focussed on anatomical features rather than the presence of functional columns.

    So we were very keen to clearly define a nomenclature consistent with the most accepted definitions, and stick to that. We discovered a paper by Rinkus from 2010 [5], which is part of a whole edition of Frontiers on the cortical column. It’s an excellent resource, highly recommended. There are many good papers, but I found Rinkus’ most useful for the best definition of cortical columns that I’ve read. That’s because it is nuanced, based on function, and part of an understanding (or at least proposal) of the algorithm of a region of neocortex. From this, we’ve created our canonical definition of mini and macro columns. To be published in the next blog post.

    References

    [1] Mountcastle, V. B., “The columnar organization of the neocortex”, Brain, vol. 120, no. 4, 1997.[2] Horton, J. C., and Adams, D. L., “The cortical column: a structure without a function”, Philos. Trans. R. Soc. Lond., B, Biol. Sci, vol. 360, no. 1456, 2005.[3] Mountcastle V.B., Davies P.W., Berman A.L., “Modality and topographic properties of single neurons of cat’s somatic sensory cortex”, J Neurophysiol, vol. 20, no. 4, 1957.[4] Rakic P., “Confusing cortical columns”, Proceedings of the National Academy of Sciences, vol. 105, no. 34, 2008.[5] Rinkus G.J., “A cortical sparse distributed coding model linking mini- and macrocolumn-scale functionality”, Frontiers in Neuroanatomy, vol. 4, no. 17, 2010.