Updating the standard neuron model in artificial neural networks
Pith reviewed 2026-06-30 18:07 UTC · model grok-4.3
The pith
Substituting a recent cortical cell model for the point neuron in ANNs increases expressivity, robustness, and learning speed while cutting memorization and data needs, all without extra parameters.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Direct substitution of a recent model of cortical cells for the point neuron model inside artificial neural networks produces networks that are more expressive and robust, learn faster, memorize less of the training set, and reach target performance with less data, while keeping the original parameter count unchanged.
What carries the argument
Direct substitution of the recent cortical cell model into standard ANN layers in place of the point neuron, preserving parameter count and network topology.
If this is right
- The modified networks represent a wider class of functions than equivalent point-neuron networks at fixed parameter count.
- Training converges in fewer epochs on the same data.
- The networks exhibit lower sensitivity to small input perturbations.
- Overfitting is reduced, visible as lower training-set memorization.
- Target accuracy is reached with smaller training sets than required by point-neuron baselines.
Where Pith is reading between the lines
- The same substitution could be applied to convolutional or recurrent layers to test whether the gains generalize beyond fully connected networks.
- If the cortical cell model introduces internal state variables, those variables might be inspected post-training to interpret what features the network has learned.
- Hardware implementations that natively support the cortical cell dynamics could further reduce energy cost compared with point-neuron accelerators.
Load-bearing premise
The recent cortical cell model can be inserted directly into existing ANN architectures in place of the point neuron while keeping all claimed performance gains and without any increase in parameters.
What would settle it
A controlled experiment in which networks built with the cortical cell model show no measurable gain in robustness or learning speed, or require the same volume of training data as identical point-neuron networks to reach target accuracy.
read the original abstract
From their inception in the 1950s, artificial neural networks (ANNs) started using the so-called point neuron model then prevalent in neuroscience, hoping that this analogy would allow for a better emulation of brain function. Over the years the neuroscience literature has shown that the point neuron model is too simplistic to properly represent many fundamental neural processes; however, the standard neuron model in ANNs still remains the same. Here we substitute it by a very recent model of cortical cells and demonstrate through theoretical analyses and experimental results how, simply by using a more realistic neural unit element without augmenting the number of parameters, the resulting ANNs offer a number of important advantages that include increases in expressivity, robustness and learning speed, and a reduction in memorization and the amount of training data needed.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript proposes replacing the standard point neuron model used in ANNs since the 1950s with a recent model of cortical cells. It claims that this direct substitution—without increasing the number of parameters—yields ANNs with higher expressivity, robustness, and learning speed, plus reduced memorization and lower training-data requirements, as shown via theoretical analyses and experiments.
Significance. If the central claim holds, the work would be significant for the field: it would demonstrate that a biologically motivated update to the fundamental computational unit can deliver measurable gains while preserving parameter count, potentially improving data efficiency and generalization in standard architectures. The parameter-neutral substitution, if rigorously verified, would be a notable strength.
major comments (1)
- [Abstract / Methods] The central claim requires that the cortical-cell model substitutes into standard layers with exactly the same number of trainable parameters as the point neuron. The manuscript must explicitly demonstrate this (e.g., by comparing the number of free parameters per unit in a fully connected or convolutional layer) to exclude the possibility that observed gains arise from hidden increases in effective capacity rather than the substitution itself.
Simulated Author's Rebuttal
We thank the referee for their thoughtful review and constructive suggestion. We address the single major comment below and will incorporate an explicit parameter-count demonstration in the revised manuscript.
read point-by-point responses
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Referee: [Abstract / Methods] The central claim requires that the cortical-cell model substitutes into standard layers with exactly the same number of trainable parameters as the point neuron. The manuscript must explicitly demonstrate this (e.g., by comparing the number of free parameters per unit in a fully connected or convolutional layer) to exclude the possibility that observed gains arise from hidden increases in effective capacity rather than the substitution itself.
Authors: We agree that an explicit side-by-side accounting of trainable parameters would remove any ambiguity. In the revised manuscript we will insert a short subsection (new Methods 3.2) that tabulates the number of free parameters per unit for both models. For a fully-connected layer the cortical-cell substitution replaces only the point-wise activation with a fixed dynamical system whose internal state variables are not trainable; the weight matrix W and bias vector b remain identical in dimension and count. The same holds for convolutional layers, where the kernel weights are unchanged. Consequently the total number of trainable parameters is exactly the same as in the baseline point-neuron network. We will also add a one-sentence statement in the abstract confirming this invariance. revision: yes
Circularity Check
No circularity detected; derivation chain is self-contained
full rationale
The paper substitutes a recent cortical cell model for the point neuron in ANNs and claims benefits in expressivity, robustness, learning speed, and data efficiency without increasing parameter count. The provided text (abstract and context) contains no equations, fitted parameters, predictions, or self-citations that reduce by construction to the inputs. Theoretical analyses and experimental results are invoked as independent support, with the substitution presented as direct replacement. No load-bearing step equates a claimed result to a renamed fit or self-referential definition. This is the common case of an empirical substitution claim without internal circularity.
Axiom & Free-Parameter Ledger
axioms (2)
- domain assumption The point neuron model is too simplistic to properly represent many fundamental neural processes
- domain assumption A recent model of cortical cells can be substituted into ANNs without augmenting the number of parameters
Reference graph
Works this paper leans on
-
[1]
McCulloch, W. S. & Pitts, W. A logical calculus of the ideas immanent in nervous activity.The Bulletin of Mathematical Biophysics5, 115–133 (1943)
1943
-
[2]
Hubel, D. H. & Wiesel, T. N. Receptive fields of single neurones in the cat’s striate cortex.The Journal of Physiology148, 574–591 (1959)
1959
-
[3]
The perceptron: A probabilistic model for information storage and organization in the brain
Rosenblatt, F. The perceptron: A probabilistic model for information storage and organization in the brain. Psychological Review65, 386 (1958)
1958
-
[4]
Haykin, S.Neural networks and learning machines(New York: Prentice Hall, 2009)
2009
-
[5]
& Poirazi, P
Chavlis, S. & Poirazi, P. Dendrites endow artificial neural networks with accurate, robust and parameter- efficient learning.Nature Communications16, 943 (2025). 21
2025
- [6]
-
[7]
Sartzetaki, C., Roig, G., Snoek, C. G. M. & Groen, I. International Conference on Learning Rep- resentations (ed.)One hundred neural networks and brains watching videos: Lessons from alignment. (ed.International Conference on Learning Representations)Proceedings of the International Conference on Learning Representations(2025)
2025
-
[8]
& DiCarlo, J
Kar, K. & DiCarlo, J. J. The quest for an integrated set of neural mechanisms underlying object recognition in primates.Annual Review of Vision Science10, 91–121 (2024)
2024
-
[9]
S.et al.Deep problems with neural network models of human vision.Behavioral and Brain Sciences1–74 (2022)
Bowers, J. S.et al.Deep problems with neural network models of human vision.Behavioral and Brain Sciences1–74 (2022)
2022
-
[10]
(ed.IEEE/CVF Computer Vision Shifts and Pattern Recognition Organizer Committee)IEEE/CVF Conference on Computer Vision and Pattern Recognition, 9568–9578 (2024)
Tong, S.et al.IEEE/CVF Computer Vision Shifts and Pattern Recognition Organizer Committee (ed.)Eyes wide shut? Exploring the visual shortcomings of multimodal LLMs. (ed.IEEE/CVF Computer Vision Shifts and Pattern Recognition Organizer Committee)IEEE/CVF Conference on Computer Vision and Pattern Recognition, 9568–9578 (2024)
2024
-
[11]
Wichmann, F. A. & Geirhos, R. Are deep neural networks adequate behavioral models of human visual perception?Annual Review of Vision Science9, 501–524 (2023)
2023
-
[12]
Dendritic spikes expand the range of well tolerated population noise structures.Journal of Neuroscience39, 9173–9184 (2019)
Poleg-Polsky, A. Dendritic spikes expand the range of well tolerated population noise structures.Journal of Neuroscience39, 9173–9184 (2019)
2019
-
[13]
& Poirazi, P
Pagkalos, M., Makarov, R. & Poirazi, P. Leveraging dendritic properties to advance machine learning and neuro-inspired computing.Current Opinion in Neurobiology85, 102853 (2024)
2024
-
[14]
& Papoutsi, A
Poirazi, P. & Papoutsi, A. Illuminating dendritic function with computational models.Nature Reviews Neuroscience21, 303–321 (2020)
2020
-
[15]
Stuart, G. J. & Spruston, N. Dendritic integration: 60 years of progress.Nature Neuroscience18, 1713–1721 (2015)
2015
-
[16]
& Harnett, M
Francioni, V. & Harnett, M. T. Rethinking single neuron electrical compartmentalization: dendritic contributions to network computation in vivo.Neuroscience489, 185–199 (2022)
2022
-
[17]
& Palmer, L
Stuyt, G., Godenzini, L. & Palmer, L. M. Local and global dynamics of dendritic activity in the pyramidal neuron.Neuroscience489, 176–184 (2022)
2022
-
[18]
& Both, M
Stingl, M., Draguhn, A. & Both, M. A dendrite is a dendrite is a dendrite? Dendritic signal integration beyond the “antenna” model.Pfl¨ ugers Archiv-European Journal of Physiology477, 9–16 (2025)
2025
-
[19]
Zador, A.et al.Catalyzing next-generation artificial intelligence through NeuroAI.Nature Communications 14, 1597 (2023)
2023
-
[20]
Frontiers in Neurorobotics16, 846219 (2022)
Iyer, A.et al.Avoiding catastrophe: Active dendrites enable multi-task learning in dynamic environments. Frontiers in Neurorobotics16, 846219 (2022)
2022
-
[21]
Larkum, M. E. Are dendrites conceptually useful?Neuroscience489, 4–14 (2022)
2022
-
[22]
& Bertalm´ ıo, M
Rentzeperis, I., Prandi, D. & Bertalm´ ıo, M. A neural model for V1 that incorporates dendritic nonlinearities and back-propagating action potentials.Journal of Neuroscience45(2025)
2025
-
[23]
& Giryes, R
Jakubovitz, D. & Giryes, R. European Computer Vision Association (ECVA) (ed.)Improving DNN robustness to adversarial attacks using Jacobian regularization. (ed.European Computer Vision Association (ECVA)) European Conference on Computer Vision, 525–541 (2018)
2018
-
[24]
J., Bastounis, A., Woldegeorgis, E
Tyukin, I., Higham, D. J., Bastounis, A., Woldegeorgis, E. & Gorban, A. N. The feasibility and inevitability of stealth attacks.IMA Journal of Applied Mathematics89, 44–84 (2024). 22
2024
-
[25]
& Vladu, A
M¸ adry, A., Makelov, A., Schmidt, L., Tsipras, D. & Vladu, A. International Conference on Learning Represen- tations (ed.)Towards deep learning models resistant to adversarial attacks. (ed.International Conference on Learning Representations)Proceedings of the International Conference on Learning Representations(2018)
2018
-
[26]
& Uncini, A
Pomponi, J., Scardapane, S. & Uncini, A. Pixle: a fast and effective black-box attack based on rearranging pixels. International Joint Conference on Neural Networks (IJCNN 2022)
2022
-
[27]
Neural networks2, 359–366 (1989)
Hornik, K., Stinchcombe, M., White, H.et al.Multilayer feedforward networks are universal approximators. Neural networks2, 359–366 (1989)
1989
-
[28]
Approximation by superpositions of a sigmoidal function.Mathematics of Control, Signals and Systems2, 303–314 (1989)
Cybenko, G. Approximation by superpositions of a sigmoidal function.Mathematics of Control, Signals and Systems2, 303–314 (1989)
1989
-
[29]
& Zhang, C
Feldman, V. & Zhang, C. NIPS Foundation (ed.)What neural networks memorize and why: Discovering the long tail via influence estimation. (ed.NIPS Foundation)Advances in Neural Information Processing Systems, Vol. 33, 2881–2891 (2020)
2020
-
[30]
& Roy, K
Garg, I., Ravikumar, D. & Roy, K. IMLS (ed.)Memorization through the lens of curvature of loss function around samples. (ed.IMLS)International Conference on Machine Learning, Vol. 235, 15083–15101 (2024)
2024
-
[31]
Bertalm´ ıo, M.et al.Evidence for the intrinsically nonlinear nature of receptive fields in vision.Scientific reports10, 16277 (2020)
2020
-
[32]
M.et al.Selectivity and robustness of sparse coding networks.Journal of Vision20, 1–28 (2020)
Paiton, D. M.et al.Selectivity and robustness of sparse coding networks.Journal of Vision20, 1–28 (2020)
2020
-
[33]
& Martiniani, S
Rawat, S., Heeger, D. & Martiniani, S. Unconditional stability of a recurrent neural circuit implementing divisive normalization.Advances in Neural Information Processing Systems37, 14712–14750 (2024)
2024
-
[34]
Bai, S., Kolter, J. Z. & Koltun, V. NIPS Foundation (ed.)Deep equilibrium models. (ed.NIPS Foundation) Advances in Neural Information Processing Systems(2019)
2019
-
[35]
& Fiete, I
Khona, M. & Fiete, I. R. Attractor and integrator networks in the brain.Nature Reviews Neuroscience23, 744–766 (2022)
2022
-
[36]
& Bertalm´ ıo, M
Luna, R., Serrano-Pedraza, I. & Bertalm´ ıo, M. Overcoming the limitations of motion sensor models by considering dendritic computations.Scientific reports15, 9213 (2025)
2025
-
[37]
Vaswani, A.et al.Attention is all you need.Advances in neural information processing systems30(2017)
2017
-
[38]
Hopfield, J. J. Neurons with graded response have collective computational properties like those of two-state neurons.Proceedings of the national academy of sciences81, 3088–3092 (1984)
1984
-
[39]
Sch¨ olkopf, B.Causality for machine learning, 765–804 (Association for Computing Machinery, New York, NY, USA, 2022)
2022
-
[40]
& Mackenzie, D.The book of why: the new science of cause and effect(Basic books, 2018)
Pearl, J. & Mackenzie, D.The book of why: the new science of cause and effect(Basic books, 2018)
2018
-
[41]
Bagul, Y. J. On exponential bounds of hyperbolic cosine.Bulletin of the International Mathematical Virtual Institute8, 365–367 (2018)
2018
-
[42]
Approximation theory of the mlp model in neural networks.Acta Numerica8, 143––195 (1999)
Pinkus, A. Approximation theory of the mlp model in neural networks.Acta Numerica8, 143––195 (1999)
1999
-
[43]
PyTorch: An Imperative Style, High-Performance Deep Learning Library
Paszke, A.et al.Pytorch: An imperative style, high-performance deep learning library. Preprint at https: //arxiv.org/abs/1912.01703 (2019)
work page internal anchor Pith review Pith/arXiv arXiv 1912
-
[44]
& Kolter, J
Geng, Z. & Kolter, J. Z. TorchDEQ: A library for deep equilibrium models (2023). URL https://github.com/ locuslab/torchdeq
2023
-
[45]
Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms
Xiao, H., Rasul, K. & Vollgraf, R. Fashion-MNIST: a novel image dataset for benchmarking machine learning algorithms. Preprint at https://arxiv.org/abs/1708.07747 (2017)
work page internal anchor Pith review Pith/arXiv arXiv 2017
-
[46]
(ed.NIPS Foundation)NIPS Workshop on Deep Learning and Unsupervised Feature Learning, Vol
Netzer, Y.et al.NIPS Foundation (ed.)Reading digits in natural images with unsupervised feature learning. (ed.NIPS Foundation)NIPS Workshop on Deep Learning and Unsupervised Feature Learning, Vol. 2011, 7 (2011). 23
2011
-
[47]
& Hinton, G
Krizhevsky, A. & Hinton, G. Learning multiple layers of features from tiny images. Tech. Rep., University of Toronto (2009). URL https://www.cs.toronto.edu/ ∼kriz/learning-features-2009-TR.pdf
2009
-
[48]
https://github.com/pytorch/vision (2016)
TorchVision: PyTorch’s computer vision library. https://github.com/pytorch/vision (2016)
2016
-
[49]
Torchattacks: A PyTorch repository for adversarial attacks
Kim, H. Torchattacks: A PyTorch repository for adversarial attacks. Preprint at https://arxiv.org/abs/2010. 01950 (2021)
2010
-
[50]
& Roli, F
Biggio, B. & Roli, F. Wild patterns: Ten years after the rise of adversarial machine learning.Pattern Recognition84, 317–331 (2018)
2018
-
[51]
Papernot, N.et al.ACM Special Interest Group on Security, Audit and Control (ed.)Practical black-box attacks against machine learning. (ed.ACM Special Interest Group on Security, Audit and Control)Proceed- ings of the ACM on Asia Conference on Computer and Communications Security, 506–519 (Association for Computing Machinery, New York, NY, USA, 2017). 24 ...
2017
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