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Bibliographic Details
Main Author: Perfilev, Vladimir
Format: Recurso digital
Language:English
Published: Zenodo 2026
Subjects:
Online Access:https://doi.org/10.5281/zenodo.19338035
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Table of Contents:
  • <p>We propose shifting neural network optimization from the parameter space into a dual space of dimensionality. Our core mechanism is the M-matrix—an analytical per-layer Jacobian derived from forward-pass activations, yielding exact gradients without a global computational graph. In this dual formulation, every weight update is the exact optimum of a least-squares problem, solved via a matrix-free Conjugate Gradient (CG) method.<br><br>Code: <a title="Exact Dual-Space Solver" href="https://github.com/v-perfilev/exact-dual-space-solver" rel="noopener">GitHub</a></p>