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Preprint Sep 2026

Blind directions of physical learning networks: where to measure and what to measure

A physical learning network is read at a few accessible nodes. Every task and learning rule that uses only the steady voltages and currents there, at a fixed operating point, acts through the boundary response map. Changes in the kernel of its Jacobian are blind to first order. A walk along one fiber ran to a 600-step...

Q. Nguyen, T. Vu · 0 citations
Preprint Sep 2026

Reciprocity can halve what a mechanical network can learn

A passive, reciprocal, linear network driven by forces or currents and read at points it drives cannot be trained below an error floor computed from the target beforehand. The usual parameter count for such networks does not charge for Maxwell-Betti reciprocity. We prove that when such an elastic, resistor or flow netw...

Thai-Son Vu, Hoang-Giang Nguyen, Q. Nguyen et al. · 1 citation

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