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Paper · arXiv

Chemical Reaction Networks Learn Better than Spiking Neural Networks

We mathematically prove that chemical reaction networks without hidden layers can solve tasks for which spiking neural networks require hidden layers. Our proof uses the deterministic mass-action kinetics formulation of chemical reaction networks. Specifically, we prove that a certain reaction network without hidden layers can learn a classification task previously proved to be achievable by a spiking neural network with hidden layers. We provide analytical regret bounds for the global behavior of the network and analyze its asymptotic behavior and Vapnik-Chervonenkis dimension. In a numerical experiment, we confirm the learning capacity of the proposed chemical reaction network for class...

AuthorsSophie Jaffard, Ivo F. Sbalzarini
Primary categorycs.LG
Published12 March 2026
Last updated at source12 March 2026
cs.LGcs.AImath.STstat.ML
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