arXiv AI By Raul Mohedano, Thomas Batard, Erik Velasco-Salido, Ramsses De Los Santos Mendoza, Jorge H. Mart\'inez, Stacey Levine, Marcelo Bertalm\'io

Updating the standard neuron model in artificial neural networks

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arXiv:2605. 30370v2 Announce Type: replace-cross 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.

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arXiv AI
Sep 16

Equivalence of approximation by networks of single- and multi-spike neurons

The paper demonstrates that for a broad class of spiking neuron models, including the leaky integrate‑and‑fire with subtractive reset, any approximation bound proven for multi‑spike networks can be translated to an equivalent single‑spike network with only a linear change in neuron count, and vice versa. This establishes that single‑spike and multi‑spike neural networks possess identical approximation capabilities for general machine learning tasks. Consequently, existing approximation results for single‑spike networks automatically extend to the multi‑spike case.

By Dominik Dold, Philipp Christian Petersen
arXiv AI
Jun 24

Topological Neural Dynamics: A Neuron-wise Framework for Sequence Modeling

arXiv:2606. 21295v2 Announce Type: replace-cross Abstract: Existing sequence models, including RNNs, LSTMs, continuous-time networks, and Transformers, share a common structural principle: layer-wise dynamics, where all neurons in the same layer co-evolve through a shared parameterized operator, leaving individual neurons no freedom to evolve independently.

By Borui Cai, Yao Zhao