Local Deep Learning without Gradients in Asymmetric Recurrent Networks
Riccardo Zecchina · Bocconi University, Milano
Wed, Jun 18, 2025 · 15:00 UTC
We introduce a statistical physics framework for learning in neural architectures composed of single or interconnected asymmetric attractor networks. These systems can exhibit a manifold of global fixed points capable of implementing sophisticated input-output mappings, which we characterize analytically. Learning from extensive datasets is achieved through the stabilization of fixed points via a fully distributed and local learning process, implemented at the single-neuron level. This simple mechanism yields performance comparable to that of conventional feedforward deep neural networks train