New Paper Proposes 'Spectral Neuron' Using Eigenvalues as Non-Linearity
CatAstro_Piyush · x · 2026-08-21
Alex Shtoff released a preprint titled "The Spectral Neuron," proposing a novel neuron model that uses symmetric matrices as weights and an eigenvalue as the non-linearity (defined as $f(x) = \lambdak(A0 + A1 x + ... + An xn)$).
This approach aims to balance expressiveness with interpretability, allowing for coefficient transparency and shape control (e.g., monotonicity, convexity) through the learned matrices. The paper includes mathematical derivations, practical initialization and training recipes, and scaling experiments on both synthetic and real-world data.
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