Dynamics of specialization in neural modules under resource constraints (2106.02626v6)
Abstract: It has long been believed that the brain is highly modular both in terms of structure and function, although recent evidence has led some to question the extent of both types of modularity. We used artificial neural networks to test the hypothesis that structural modularity is sufficient to guarantee functional specialization, and find that in general, this doesn't necessarily hold. We then systematically tested which features of the environment and network do lead to the emergence of specialization. We used a simple toy environment, task and network, allowing us precise control, and show that in this setup, several distinct measures of specialization give qualitatively similar results. We further find that in this setup (1) specialization can only emerge in environments where features of that environment are meaningfully separable, (2) specialization preferentially emerges when the network is strongly resource-constrained, and (3) these findings are qualitatively similar across the different variations of network architectures that we tested, but that the quantitative relationships depend on the precise architecture. Finally, we show that functional specialization varies dynamically across time, and demonstrate that these dynamics depend on both the timing and bandwidth of information flow in the network. We conclude that a static notion of specialization, based on structural modularity, is likely too simple a framework for understanding intelligence in situations of real-world complexity, from biology to brain-inspired neuromorphic systems. We propose that thoroughly stress testing candidate definitions of functional modularity in simplified scenarios before extending to more complex data, network models and electrophysiological recordings is likely to be a fruitful approach.
- Efficiency and cost of economical brain functional networks. PLoS computational biology, 3(2):e17.
- Spatially embedded recurrent neural networks reveal widespread links between structural and functional neuroscience findings. Nature Machine Intelligence, 5(12):1369–1381. Publisher: Nature Publishing Group.
- Adolphs, R. (2016). Human Lesion Studies in the 21st Century. Neuron, 90(6):1151–1153. Publisher: Elsevier.
- The neuroscience of emotion: a new synthesis. Princeton University Press, Princeton. OCLC: on1004927099.
- Predictive coding is a consequence of energy efficiency in recurrent neural networks. Patterns, 3(12):100639.
- Systematic Generalization: What Is Required and Can It Be Learned? arXiv:1811.12889 [cs].
- The functional specialization of visual cortex emerges from training parallel pathways with self-supervised predictive learning. In Advances in Neural Information Processing Systems, volume 34, pages 25164–25178. Curran Associates, Inc.
- Vector-based navigation using grid-like representations in artificial agents. Nature, 557(7705):429–433. Number: 7705 Publisher: Nature Publishing Group.
- Embodied neuromorphic intelligence. Nature Communications, 13(1):1024. Number: 1 Publisher: Nature Publishing Group.
- Network neuroscience. Nature Neuroscience, 20(3):353–364. Number: 3 Publisher: Nature Publishing Group.
- Dynamic reconfiguration of human brain networks during learning. Proceedings of the National Academy of Sciences, 108(18):7641–7646. Publisher: Proceedings of the National Academy of Sciences.
- Betzel, R. F. (2020a). Community detection in network neuroscience. arXiv:2011.06723 [q-bio].
- Betzel, R. F. (2020b). Organizing principles of whole-brain functional connectivity in zebrafish larvae. Network Neuroscience, 4(1):234–256.
- Brodmann, V. K. (1909). Vergleichende Lokalisationslehre der Großhirnrinde : in ihren Prinzipien dargestellt auf Grund des Zellenbaues / von K. Brodmann.
- The economy of brain network organization. Nature Reviews Neuroscience, 13(5):336–349. Number: 5 Publisher: Nature Publishing Group.
- Graphical Clusterability and Local Specialization in Deep Neural Networks.
- Modularity and robustness of frontal cortical networks. Cell, 184(14):3717–3730.e24.
- Trade-off between Multiple Constraints Enables Simultaneous Formation of Modules and Hubs in Neural Systems. PLOS Computational Biology, 9(3):e1002937. Publisher: Public Library of Science.
- Cherniak, C. (2012). Chapter 17 - Neural wiring optimization. In Hofman, M. A. and Falk, D., editors, Progress in Brain Research, volume 195 of Evolution of the Primate Brain, pages 361–371. Elsevier.
- Chklovskii, D. B. (2004). Synaptic connectivity and neuronal morphology: two sides of the same coin. Neuron, 43(5):609–617.
- Wiring Optimization in Cortical Circuits. Neuron, 34(3):341–347.
- The evolutionary origins of modularity. Proceedings of the Royal Society B: Biological Sciences, 280(1755):20122863. arXiv:1207.2743 [cs, q-bio].
- EMNIST: an extension of MNIST to handwritten letters. arXiv:1702.05373 [cs].
- ARE NEURAL NETS MODULAR? INSPECTING FUNC- TIONAL MODULARITY THROUGH DIFFERENTIABLE WEIGHT MASKS. page 30.
- Mosaic: in-memory computing and routing for small-world spike-based neuromorphic systems. Nature Communications, 15(1):142. Publisher: Nature Publishing Group.
- Deng, L. (2012). The mnist database of handwritten digit images for machine learning research. IEEE Signal Processing Magazine, 29(6):141–142.
- Brain-like functional specialization emerges spontaneously in deep neural networks. Science Advances, 8(11):eabl8913. Publisher: American Association for the Advancement of Science.
- Neural Modularity Helps Organisms Evolve to Learn New Skills without Forgetting Old Skills. PLOS Computational Biology, page 24.
- When Neural Activity Fails to Reveal Causal Contributions. Pages: 2023.06.06.543895 Section: New Results.
- Systematic perturbation of an artificial neural network: A step towards quantifying causal contributions in the brain. PLOS Computational Biology, 18(6):e1010250. Publisher: Public Library of Science.
- Clusterability in Neural Networks. arXiv:2103.03386 [cs].
- Fodor, J. A. (1983). The modularity of mind: an essay on faculty psychology. MIT Press, Cambridge, Mass.
- Neuronal dynamics: from single neurons to networks and models of cognition. Cambridge University Press, Cambridge, United Kingdom.
- RECURRENT INDEPENDENT MECHANISMS. page 35.
- Collective Intelligence for Deep Learning: A Survey of Recent Developments. arXiv:2111.14377 [cs].
- Rich-Club Organization of the Human Connectome. Journal of Neuroscience, 31(44):15775–15786. Publisher: Society for Neuroscience Section: Articles.
- Quantifying Local Specialization in Deep Neural Networks. arXiv:2110.08058 [cs].
- Could a Neuroscientist Understand a Microprocessor? Pages: 055624 Section: New Results.
- Nonoptimal Component Placement, but Short Processing Paths, due to Long-Distance Projections in Neural Systems. PLOS Computational Biology, 2(7):e95. Publisher: Public Library of Science.
- Varying environments can speed up evolution. Proceedings of the National Academy of Sciences, 104(34):13711–13716. Publisher: National Academy of Sciences Section: Biological Sciences.
- Systematic Evaluation of Causal Discovery in Visual Model Based Reinforcement Learning. arXiv:2107.00848 [cs, stat].
- Modular Networks: Learning to Decompose Neural Computation. arXiv:1811.05249 [cs, stat]. arXiv: 1811.05249.
- Similarity of Neural Network Representations Revisited. arXiv:1905.00414 [cs, q-bio, stat].
- Backpropagation and the brain. Nature Reviews Neuroscience, 21(6):335–346. Number: 6 Publisher: Nature Publishing Group.
- Seeing is Believing: Brain-Inspired Modular Training for Mechanistic Interpretability. arXiv:2305.08746 [cond-mat, q-bio].
- Efficient and robust multi-task learning in the brain with modular task primitives. arXiv:2105.14108 [cs, q-bio]. arXiv: 2105.14108.
- Under the Hood of Neural Networks: Characterizing Learned Representations by Functional Neuron Populations and Network Ablations. arXiv:2004.01254 [cs, q-bio].
- Is a Modular Architecture Enough? arXiv:2206.02713 [cs]. arXiv: 2206.02713.
- Harnessing behavioral diversity to understand neural computations for cognition. Current Opinion in Neurobiology, 58:229–238.
- Newman, M. E. J. (2006). Modularity and community structure in networks. Proceedings of the National Academy of Sciences, 103(23):8577–8582. Publisher: National Academy of Sciences Section: Physical Sciences.
- Pessoa, L. (2022). The entangled brain: how perception, cognition, and emotion are woven together. The MIT Press, Cambridge, Massachusetts.
- Modular Deep Learning. arXiv:2302.11529 [cs].
- Functional Network Organization of the Human Brain. Neuron, 72(4):665–678.
- The Wiring Economy Principle: Connectivity Determines Anatomy in the Human Brain. PLoS ONE, 6(9):e14832.
- The organisation of mind. Oxford University Press, Oxford ; New York. OCLC: ocn664323812.
- The Dynamics of Functional Brain Networks: Integrated Network States during Cognitive Task Performance. Neuron, 92(2):544–554. Publisher: Elsevier.
- Sporns, O. (2013). Network attributes for segregation and integration in the human brain. Current Opinion in Neurobiology, 23(2):162–171.
- Modular Brain Networks. Annual Review of Psychology, 67(1):613–640. _eprint: https://doi.org/10.1146/annurev-psych-122414-033634.
- Striedter, G. F. (2005). Principles of brain evolution. Principles of brain evolution. Sinauer Associates, Sunderland, MA, US. Pages: xii, 436.
- The information bottleneck method. arXiv:physics/0004057.
- Neural assemblies uncovered by generative modeling explain whole-brain activity statistics and reflect structural connectivity. eLife, 12:e83139. Publisher: eLife Sciences Publications, Ltd.
- Modularity and neural coding from a brainstem synaptic wiring diagram.
- Watanabe, C. (2018). Interpreting Layered Neural Networks via Hierarchical Modular Representation. arXiv:1810.01588 [cs, stat].
- Theories of Error Back-Propagation in the Brain. Trends in Cognitive Sciences, 23(3):235–250. Publisher: Elsevier.
- Generalisation of structural knowledge in the hippocampal-entorhinal system. arXiv:1805.09042 [cs, q-bio, stat].
- Using goal-driven deep learning models to understand sensory cortex. Nature Neuroscience, 19(3):356–365. Number: 3 Publisher: Nature Publishing Group.
- Multi-Task Reinforcement Learning with Soft Modularization. arXiv:2003.13661 [cs, stat]. arXiv: 2003.13661.
- On imputing function to structure from the behavioural effects of brain lesions. Philosophical Transactions of the Royal Society B: Biological Sciences, 355(1393):147–161.
- Zilles, K. (2018). Brodmann: a pioneer of human brain mapping—his impact on concepts of cortical organization. Brain, 141(11):3262–3278.