Reciprocity Separates Gradient Flow from Rotation in Conservative Physical Learning

arXiv:2608.30778 · cs.LG, nlin.AO · Submitted 2026-08-31 · Read on arXiv

cs.LG, nlin.AO

Submitted: 2026-08-31

Updated: 2026-08-31

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Gradient Flow — 8× in this paper · explained in 2 episodes
• Accuracy — 5× in this paper · explained in 1 episode
• Nonreciprocity — 4× in this paper · explained in 2 episodes
• AUC — 3× in this paper · explained in 2 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Catastrophic Forgetting — 1× in this paper · explained in 5 episodes
• Contrastive Learning — 1× in this paper · explained in 5 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Loss Function — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Trace — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• How to Train Your Resistive Network: Generalized Equilibrium Propagation and Analytical Learning
• Coercivity and Local Convergence of Physical Learning in Linear Circuits
• A Conservation Law for Equilibrium Propagation and Coupled Learning

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