Abstract
The debate about representation in the brain and the nature of the cognitive system has been going on for decades now. This paper examines the neurophysiological evidence, primarily from single cell recordings, to get a better perspective on both the issues. After an initial review of some basic concepts, the paper reviews the data from single cell recordings – in cortical columns and of category-selective and multisensory neurons. In neuroscience, columns in the neocortex (cortical columns) are understood to be a basic functional/computational unit. The paper reviews the fundamental discoveries about the columnar organization and finds that it reveals a massively parallel search mechanism. This columnar organization could be the most extensive neurophysiological evidence for the widespread use of localist representation in the brain. The paper also reviews studies of category-selective cells. The evidence for category-selective cells reveals that localist representation is also used to encode complex abstract concepts at the highest levels of processing in the brain. A third major issue is the nature of the cognitive system in the brain and whether there is a form that is purely abstract and encoded by single cells. To provide evidence for a single-cell based purely abstract cognitive system, the paper reviews some of the findings related to multisensory cells. It appears that there is widespread usage of multisensory cells in the brain in the same areas where sensory processing takes place. Plus there is evidence for abstract modality invariant cells at higher levels of cortical processing. Overall, that reveals the existence of a purely abstract cognitive system in the brain. The paper also argues that since there is no evidence for dense distributed representation and since sparse representation is actually used to encode memories, there is actually no evidence for distributed representation in the brain. Overall, it appears that, at an abstract level, the brain is a massively parallel, distributed computing system that is symbolic. The paper also explains how grounded cognition and other theories of the brain are fully compatible with localist representation and a purely abstract cognitive system.
Introduction
We have argued for decades about how features of the outside world (both abstract and concrete) are encoded and represented in the brain (; ; ; ; ; , ; ; ). In the 70s and 80s, however, when the various theories were proposed and most of the fundamental arguments took place, study of the biological brain was still in its infancy. We, therefore, didn’t have much neuroscience data to properly evaluate the competing theories. Thus, the arguments were mainly theoretical. Fortunately, that situation has changed in recent years with a significant amount of research in neurophysiology. We are, therefore, in a better position now to evaluate the competing theories based on real data about the brain.
have argued that the brain does not need to encode or represent features of the outside world in any explicit way. Representation, however, is a useful abstraction for computer and cognitive sciences and for many other fields and neurophysiology continues to search for correlations between neural activity and features of the external world (; ; ; ; ; ; ; ; ; ; ). In fact, the two Nobel prizes in physiology for ground-breaking discoveries about the brain have been about encoding and representation: (1) Hubel and Wiesel’s discovery of a variety of fundamental visual processing cells in the primary visual cortex, such as line, edge, color and motion detector cells (, , , ), and (2) the discovery of place cells by O’keefe and grid cells by Mosers (; ; ). Thus, in this paper, I focus primarily on the two main competing theories of representation – localist vs. distributed.
The cortical column – a cluster of neurons that have similar response properties and which are located physically together in a columnar form across layers of the cortex – is now widely accepted in neuroscience as the fundamental processing unit of the neocortex (; ; ). There are some very interesting findings from studies of the cortical columns and it makes sense to understand the nature and operation of cortical columns from a representational and computational point of view. So that is a major focus of this paper.
Encoding of complex abstract concepts is the second major focus of this paper. Distributed representation theorists have always questioned whether the brain is capable of abstracting complex concepts and encoding them in single cells (neurons) or in a collection of cells dedicated to that concept. There was an article in MedicalExpress () on localist representation following the publication of . That article includes an extensive critique of localist representation theory by James McClelland. I quote here a few of his responses regarding encoding of complex concepts:
- (1)
“what basis do I have for thinking that the representation I have for any concept – even a very familiar one – as associated with a single neuron, or even a set of neuronsdedicated only to that concept?”
- (2)
“A further problem arises when we note that I may have useful knowledge of many different instances of every concept I know – for example, the particular type of chicken I purchased yesterday evening at the supermarket, and the particular type of avocados I found to put in my salad. Each of these is a class of objects, a class for which we may need a representation if we were to encounter a member of the class again. Is each such class represented by a localist representationin the brain?”
As one can sense from these arguments, the nature and means of encoding of complex abstract concepts is a major issue in cognitive science. A particular type of complex abstract concept is the concept of a category. There are several neurophysiological studies on category representation in the brain and they provide some new insights on the nature of encoding of abstract concepts. I review some of those studies that show that single cells can indeed encode abstract category concepts.
I also address the issue of modality-invariant (or amodal) representation, which is also a form of abstraction, and provide evidence for the extensive use of an amodal cognitive system in the brain where such abstractions are encoded by single cells. Finding these different kinds of abstractions in the brain (from categorization to modality-invariance) resolves a long standing dispute within cognitive science – between grounded cognition, which is modality-based, and the traditional cognitive system defined on the basis of abstractions (). Given the evidence for grounded cognition () and the various forms of abstractions encoded by single cells, it is fair to claim that both a purely abstract form of cognition and modality-dependent cognition co-exist in the brain providing different kinds of information and each is supported by localist representation.
Finally, I address the issue of distributed representation or population coding () and its conflict with the evidence for localist representation. I essentially argue that there is no evidence for distributed representation because there is no evidence for dense distributed coding. And dense distributed coding is the essential characteristic of distributed representation as claimed by some of the original proponents ().
The paper has the following structure. In Section “Localist vs. Distributed Representation,” I provide the standard definitions for localist and distributed representations and explain the difference between distributed processing and distributed representation. In Section “Columnar Organization in the Neocortex,” I explore the neuroscience of columnar organization in the neocortex and what it implies for representational theories. In Section “Category Cells,” I review neurophysiological studies that relate to encoding of category concepts in the brain. Section “Multisensory Integration in the Brain” has the evidence for multi-sensory integration and modality-invariant single cells in the brain. In Section “The Existence of a Single Cell-Based Purely Abstract and Layered Cognitive System and Ties to Grounded Cognition,” I argue that there’s plenty of evidence for a purely abstract, single-cell based cognitive system in the brain. In addition, I argue that a sensory-based (grounded) non-abstract and a purely abstract cognitive system co-exist and support each other to provide cognition in its various forms. In Section “On the “Meaning and Interpretation” of Single Neuron Response,” I explain what “meaning and interpretation” implies for a single cell response. Section “Localist Representation and Symbols” explains why localist neurons are symbols in a computational and cognitive sense. Section “No Evidence for Distributed Representation” argues that there is no neurophysiological evidence for distributed representation because distributed representation is about dense representation. Section “Conclusion” has the conclusions.
Localist vs. Distributed Representation
Definitions and What They Mean
Distributed representation is generally defined to have the following properties (; ):
• A concept is represented by a pattern of activity over a collection of neurons (i.e., more than one neuron is required to represent a concept).
• Each neuron participates in the representation of more than one concept.
By contrast, in localist representation, a single neuron represents a single concept on a stand-alone basis. But that doesn’t preclude a collection of neurons representing a single concept. The critical distinction between localist units and distributed ones is that localist units have “meaning and interpretation” whereas the distributed ones don’t. Many authors have pointed out this distinction.
• , p. 210): “These representations are distributed, which typically has the consequence that interpretable information cannot be obtained by examining activity of single hidden units.”
• , p. 550): “With a local representation, activity in individual units can be interpreted directly… with distributed coding individual units cannot be interpreted without knowing the state of other units in the network.”
• :“Another equivalent property is that in a distributed representation one cannot interpret the meaningof activity on a single neuron in isolation: the meaning ofactivity on any particular neuron is dependent on the activityin other neurons ().”
Thus, the fundamental difference between localist and distributed representation is only in the interpretation and meaning of the units, nothing else. Therefore, any and all kinds of models can be built with either type of representation; there are no limitations as explained by .
Reviewing single cell studies, found evidence that single cell activations can have “meaning and interpretation,” starting from the lowest levels of processing such as the retina. Thus, localist representation is definitely used in the brain. found that multimodal invariant cells exist in the brain that can easily identify objects and concepts and such evidence supports the grandmother cell theory (, ; ). This paper builds on those previous ones and provides further evidence for widespread use of localist representation by examining columnar organization of the neocortex and the evidence for category cells.
Other Characteristics of Distributed Representation
- (a)
Representational efficiency – Distributed representation is computationally attractive because it can store multiple concepts using a small set of neurons. With n binary output neurons, it can represent 2n concepts because that many different patterns are possible with that collection of binary neurons. With localist representation, n neurons can only represent n concepts. In Section “Columnar Organization in the Neocortex,” I explain that this property of distributed representation could be its greatest weakness because such a representation cannot be a feasible structure for processing in the brain, given the evidence for columnar organization of the neocortex.
- (b)
Mapping efficiency – Distributed representation allows for a more compact overall structure (mapping function) from input nodes to the output ones and that means less number of connections and weights to train. Such a mapping function requires less training data and will generalize better.
- (c)
Resiliency – A distributed representation based mapping function is resilient in the sense that degradation of a few elements in the network structure may not disrupt or effect the overall performance of the structure.
- (d)
Sparse distributed representation – A distributed representation is sparse if only a small fraction of the n neurons is used to represent a subset of the concepts. Some argue that representation in the brain is sparse (; ; ; ).
, however, have argued that sparse distributed representation doesn’t generalize very well and that the brain uses it mainly for episodic memories in the hippocampus. They also argue that dense distributed representation is the only structure that can generalize well and that the brain uses this dense form of representation in the neocortex to learn abstract concepts. summarizes this particular theory of in the following way: “On the basis of this analysis, it is argued that sparse coding is employed in the hippocampus in order to store new episodic memories following single learning trials, whereas dense distributed representations are learned slowly and reside in cortex in order to support word, object, and face identification (among other functions), all of which require generalization (e.g., to identify an object from a novel orientation).” The essence of this theory is that only dense representations can generalize and learn abstract concepts. And thus the only form of distributed representation to consider is the dense one.
Distributed Processing vs. Distributed Representation
The interactive activation (IA) model of , shown in Figure 1, is a classic localist model. The IA model is a localist model simply because the letter-feature, letter and word units have labels on them, which implies that they have “meaning and interpretation.” Although the model is localist, it uses distributed and parallel processing. For example, all of the letter units are computed in parallel with inputs from the letter-feature layer. Similarly, all of the word units are computed in parallel with inputs from the letter units layer. Thus, both localist and distributed representation can exploit parallel, distributed processing. The representation type, therefore, does not necessarily place a restriction on the type of processing. And localist representation can indeed parallelize computations.
FIGURE 1
Columnar Organization in the Neocortex
Although the neocortex of mammals is mainly characterized by its horizontal layers with different cell types in each layer, researchers have found that there is also a strong vertical organization in some regions such as the somatosensory, auditory, and visual cortices. In those regions, the neuronal responses are fairly similar in a direction perpendicular to the cortical surface, while they vary in a direction parallel to the surface (
A minicolumn, a narrow vertical chain of interconnected neurons across the cortical layers, is considered the basic unit of the neocortex. The number of neurons in these minicolumns generally is between 80 and 100, but can be more in certain regions like the striate cortex. A cortical column (or module) consists of a number of minicolumns with horizontal connections. A cortical column is a complex processing unit that receives input and produces outputs. In some cases, the boundaries of these columns are quite obvious (e.g., barrels in the somatosensory cortex and ocular dominance columns in the visual cortex), but not always (e.g., orientation columns in the striate cortex).
Figure 2 shows the “ice cube” models that explain the spatial structure of orientation columns, ocular dominance columns and hypercolumns across layers of the striate cortex. An orientation column has cells that have the same orientation (i.e., they respond to an edge or bar of light with the same orientation) and this columnar structure is repeated in the striate cortex for different orientations and different spatial positions [receptive fields (RFs)] on the retina.
FIGURE 2

Orientation columns, ocular dominance columns, hypercolumns, and layers of the striate cortex. (A) Adapted from Figure 1 of
Direction of motion selectivity columns have been found in the middle temporal (MT) visual area of macaque monkeys (
FIGURE 3

Distribution of preferred directions for 95 direction-selective LIP neurons of two male rhesus monkeys (filled arrowheads for monkey H and open arrowheads for monkey R). Adapted from Figure 6 of
FIGURE 4

Columnar modules of region TE. Adapted from Figures 3 and 7 of
In general, neuroscientists have discovered the columnar organization in many regions of the mammalian neocortex. According to
Columnar Organization – Its Functional Role and as Evidence for Localist Representation
Neuroscience is still struggling to understand the functional role of columnar organization in cortical processing (
What the columnar organization reveals is a massively parallel search mechanism – a mechanism that, given an input, searches in parallel for a match within a discrete set of explicitly coded features (concepts). In other words, it tries to match the input, in parallel, to one of the component features in the discrete set, where each such component feature is encoded separately by one or more minicolumns. And the search is parallelized for all similar inputs that arrive simultaneously at a processing stage. That is, each input that arrives at the same time at a processing stage, is processed immediately and separately in a parallel mode. To make this type of parallelized search feasible for multiple inputs, it provides a dedicated macrocolumn (such as a hypercolumn), that encodes the same set of discrete features in its minicolumns, to each and every input (e.g., a RF) so that it can be processed separately in parallel.
Thus, the defining principle of columnar organization is this parallel search for a matching explicit feature within a discrete set, given an input, and performing such searches for multiple inputs at the same time (in parallel), where such parallel searches for multiple inputs are facilitated by deploying separate dedicated macrocolumns for each input. This same parallel search mechanism is used at all levels of processing as necessary. This mode of processing is, without question, very resource intensive. However, this mode of processing is an absolute necessity for the neocortex (and elsewhere in the brain) wherever there is a need for incredibly fast processing.
What’s really unique about columnar organization is the fact that it creates a discrete set of features (concepts) that are explicit. The features are explicit in the sense that they are interpretable and can be assigned meaning. And that organizing principle provides direct evidence for widespread use of localist representation in the cortex and perhaps other areas of the brain (
Category Cells
There is significant evidence at this point that animal brains, from insects to humans, have the ability to generalize and create abstract categories and concepts and encode and represent them in single cells or multiple cells, where each group of such cells is dedicated to a single category or concept. This reveals a lot about mental representation in the brain. This aspect of abstraction and representation of such abstractions has been ignored and denied in the distributed representation theory.
The Evidence for Abstract Category Cells
Regarding the ability to create abstract categories,
Other single cell studies of the monkey visual temporal cortex have discovered neurons that respond selectively to abstract patterns or common, everyday objects (
Different types of faces, or faces in general, represent a type of abstract categorization. Face-selective cells have been a dominant area of investigation in the last few decades.
On the human side, in experiments with epileptic patients,
In reviewing these findings,
Can We Believe these Studies? Are They Truly Category-Selective Cells?
These studies, that claim category-selective response of single cells, are often dismissed because, in these experiments, the cells are not exhaustively evaluated against a wide variety of stimuli.
Are Category-Selective Cells Part of a Dense Distributed Representation? If So, Do We Need Exhaustive Testing to Find that Out?
A dense distributed representation uses a small set of neurons to code for many different concepts. The basic idea is compressed encoding of concepts using a small physical structure. This also means that different levels of activations of these neurons will code for different concepts. In other words, for any given concept, most of the neurons in such a representation should be active at a certain level. If that is the case and if a so-called “category-selective” cell is actually a part of a dense representation, then stimuli that belong to different abstract concepts should activate the so-called “category-selective” cell quite often. There is no need for exhaustive testing with different stimuli to find that the “category-selective” cell is part of a dense representation. Testing with just a few different types of stimuli should be sufficient to verify that a cell is either part of a dense representation that codes for complex concepts or codes for a lower level feature. And that’s what is usually done in these neurophysiological studies and that should be sufficient. That doesn’t mean that rigorous testing is not required. It only means that we don’t need exhaustive testing to establish that a cell is selective of certain types of stimuli.
Multisensory Integration in the Brain
Research over the last decade or so has produced a large body of evidence for multisensory integration in the brain and even in areas that were previously thought to be strictly unisensory or unimodal.
The Evidence for Multisensory Integration in Various Parts of the Brain
Neurons in the lateral intraparietal (LIP) area of the PPC are now known to be multisensory, receiving a convergence of eye position, visual and auditory signals (
The Evidence for Modality-Invariant Single Cell Representation in the Brain
Here, I review some of the evidence for modality-invariant single cells in the brain of humans and non-human.
In some experiments, reported in
The Existence of A Single Cell-Based Purely Abstract and Layered Cognitive System and Ties to Grounded Cognition
Sections “Category Cells and Multisensory Integration in the Brain” on category cells and multisensory, modality-invariant cells provide significant biological evidence for the existence of a single cell-based purely abstract cognitive system in the brain. The multisensory cells are abstract in the sense that they integrate information from more than one sensory process. And since the multisensory neurons are also present in what are generally considered to be unisensory areas, such an abstract cognitive system is well-spread out in various parts of the brain and not confined to a few areas. This does not mean that cognition in appropriate cases is not grounded in sensory-motor processes (
Let’s now examine an often referenced abstract model of cognition from
FIGURE 5

A taxonomic hierarchy of the type used by
This model can be easily extended to include modality-based representations, memory and sensory processes including simulations. For example, the robin node could be a multimodal invariant abstraction that is activated by the physical appearance of a robin (or its picture), by its singing and by the written or spoken name “robin.” However, multisensory integration exists at many levels of processing. For example, there could be a multisensory neuron that integrates information from just the visual and auditory systems. That is, it fires with the physical appearance of a robin (or its picture) and/or when it sings. Many other combinations of sensory information are possible – two at a time, three at a time and so on.
Thus, there could be a layered structure of abstractions in the brain, starting with bi-modals, then tri-modals and so on. And Section “Multisensory Integration in the Brain” cites evidence for such different levels of abstractions. One can think of this layered structure of abstractions in terms of an inverted tree (similar to Figure 5) culminating in a single, high-level multimodal abstraction such as the robin node of Figure 5. Inversely, one can think of the robin node having deep extensions into lower levels of modality invariant neurons through an extended tree structure. The lowest level bi-modal invariant nodes, in turn, could be coupled with modal-based representations, memories and sensory processes. A modal representation of a robin in the visual system could have links to a memory system that has one or more generic pictures of robins in different colors and thereby provide access to the imagery part of cognition (
In summary, a purely abstract cognitive system could be tightly integrated with the sensory system and the integration could be through the layered level of abstractions that various multisensory neurons provide. In other words, the conjecture is that a purely abstract cognitive system co-exists with a sensory-based cognition system and perhaps is mutually dependent. For example, the fastest way to trigger the visualization of robins on hearing some robins singing in the background could be through the multisensory (bi-modal) neurons embedded in the sensory systems. The abstract cognitive system could, in fact, provide the connectivity between the sensory systems and be the backbone of cognition in its various forms. So the second part of this
On the “Meaning and Interpretation” of Single Neuron Response
I come back to the issue of “meaning and interpretation” of the response of a single neuron, an issue that is crucial to the claims of both localist representation and a purely abstract cognitive system. Instead of getting into a philosophical discussion on meaning of the term “meaning,” it would be better if we grounded the discussion in neurophysiology. In neurophysiology, the purpose of testing single neurons with different stimuli is to find the correlation between the response and the collection of stimuli that causes it. This is the “meaning and interpretation” of the response to an external observer such as a scientist. From an internal point of view of the brain, the firing of a neuron can have a cascading effect and trigger other neurons to fire and this generates extra information or knowledge. This is best explained with reference to Figure 5 and the discussions in Sections “Multisensory Integration in the Brain and The Existence of a Single Cell-Based Purely Abstract and Layered Cognitive System and Ties to Grounded Cognition.” For example, when we see a robin, it would fire a bi-modal neuron that associates the physical appearance of a robin with its singing. This and other multisensory neurons would, in turn, cause the multimodal invariant robin node of Figure 5 to fire. That firing, in turn, would cause the other associated nodes of Figure 5 to fire, such as the nodes bird. animal. living thing and their associated properties. What this means is that the brain activates and collects a body of knowledge after seeing the robin. And that body of knowledge, from multiple cell activations, is the composition of internal meaning of robin in the brain. And that whole body of knowledge can be activated by any and all of the sensory modalities. And that body of knowledge is the sense of “meaning” internal to the brain. And we observe this body of knowledge when we find the multisensory and abstract neurons in the brain. Of course, a simple line orientation cell or a color detection cell may not activate such a large body of abstract knowledge internally in the brain. But these cells still have both internal and external meaning in a similar sense.
Localist Representation and Symbols
An obvious question is, in what way is localist representation symbolic? I explain it here in a computational sense without getting into a philosophical discussion of symbols. One can think of the neurons, in parts of the brain that use localist representation, as being a unit of memory in a computing system that is assigned to a certain variable. The variables in this case range from a purely abstract concept (e.g., a bird) to something as concrete as a short line segment with a certain orientation. And when any of these neurons fire, it transmits a signal to another processor. These processors could, in turn, be neurons in the next layer of a sensory cortex, in the working memory of the PFC or any other neurons it is connected to. Thus, a localist neuron not only represents a variable in the computing sense, but also does processing at the same time. And, in this computational framework, the so-called variables represented by the localist neurons have meaning inside the brain and are also correlated with stimuli from the external world, as explained in Section “Localist Representation and Symbols.” Hence, these localist neurons are symbols both in the computing sense and because they are correlated with certain kinds of external stimuli.
No Evidence for Distributed Representation
As mentioned in Section “Other Characteristics of Distributed Representation,”
Conclusion
Neurophysiology has provided a significant amount of information about how the brain works. Based on these numerous studies, one can generalize and claim that the brain uses single cells (or a collection of dedicated cells) to encode particular features and abstract concepts at various levels of processing. One can also claim, based on the evidence for multisensory neurons and category cells, that the brain has a purely abstract and layered cognitive system that is also based on single cell encoding. And that abstract cognitive system, in turn, is connected to the sensory processes and memory. The combined abstract and non-abstract cognitive systems provide the backbone for cognition in its various forms. Parts of the abstract system are also embedded in the sensory systems and provide fast connectivity between the non-abstract systems. This kind of architecture has real value in terms of simplification, concreteness, automation, and computational efficiency. It essentially automates the recognition of familiar patterns at every processing layer and module and delivers such information to other layers and modules in a simplified form.
Cells that encode features and abstract concepts have meaning and interpretation at the cognitive level. Thus, these cells provide easy and efficient access to cognitive level information. Thus far, we have had no clue where cognitive level information was in the brain. These neurophysiological studies are slowly revealing that secret. It could be claimed that these feature and abstract concept cells provide the fundamental infrastructure for cognition and thought.
From these neurophysiological studies, it appears that, at an abstract level, the brain is a massively parallel, distributed computing system that is symbolic. It employs symbols from the earliest levels of processing, such as with discrete sets of feature symbols for line orientation, direction of motion and color, to the highest levels of processing, in the form of abstract category cells and other modality-invariant concept cells.
Statements
Author contributions
The author confirms being the sole contributor of this work and approved it for publication.
Conflict of interest
The author declares that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
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Summary
Keywords
localist representation, distributed representation, amodal representation, abstract cognitive system, theory of the brain, cortical columns, category cells, multisensory neurons
Citation
Roy A (2017) The Theory of Localist Representation and of a Purely Abstract Cognitive System: The Evidence from Cortical Columns, Category Cells, and Multisensory Neurons. Front. Psychol. 8:186. doi: 10.3389/fpsyg.2017.00186
Received
12 August 2016
Accepted
30 January 2017
Published
16 February 2017
Volume
8 - 2017
Edited by
George Kachergis, Radboud University Nijmegen, Netherlands
Reviewed by
Dipanjan Roy, Allahabad University, India; Bruno Lara, Universidad Autonoma del Estado de México, Mexico
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© 2017 Roy.
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*Correspondence: Asim Roy, asim.roy@asu.edu
This article was submitted to Cognition, a section of the journal Frontiers in Psychology
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