Forward Learning with Top-Down Feedback: Empirical and Analytical Characterization

R. Srinivasan,Francesca Mignacco,M. Sorbaro,Maria Refinetti,A. Cooper,G. Kreiman,Giorgia Dellaferrera

Published 2023 in International Conference on Learning Representations

ABSTRACT

"Forward-only"algorithms, which train neural networks while avoiding a backward pass, have recently gained attention as a way of solving the biologically unrealistic aspects of backpropagation. Here, we first address compelling challenges related to the"forward-only"rules, which include reducing the performance gap with backpropagation and providing an analytical understanding of their dynamics. To this end, we show that the forward-only algorithm with top-down feedback is well-approximated by an"adaptive-feedback-alignment"algorithm, and we analytically track its performance during learning in a prototype high-dimensional setting. Then, we compare different versions of forward-only algorithms, focusing on the Forward-Forward and PEPITA frameworks, and we show that they share the same learning principles. Overall, our work unveils the connections between three key neuro-inspired learning rules, providing a link between"forward-only"algorithms, i.e., Forward-Forward and PEPITA, and an approximation of backpropagation, i.e., Feedback Alignment.

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