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Paper · arXiv

Trust Your Targets: Is Target Propagation Block-Diagonal Gauss-Newton?

Target propagation (TP) is a backpropagation alternative in which local targets carry the global learning signal. Prior works claim that TP performs Gauss-Newton (GN) optimisation on these targets, but the correspondence has only been established under unrealistic assumptions where hitting them exactly is trivial. Practical variants instead descend on a least-squares problem via a single gradient step. In this paper, we rederive TP from a trust region under an implicit, previously unexamined norm, and introduce CGTP (Conjugate Gradient Target Propagation), which uses conjugate gradients to solve the layer-local subproblems in parallel. A single adaptive parameter jointly controls this tru...

AuthorsGiuseppe Castiglione, Christopher Buckley, Ivor Simpson
Primary categorycs.LG
Published19 October 2026
Last updated at source19 October 2026
cs.LG
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