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Physics-inspired optimizers show period-two orbits beyond stability limit

Researchers have explored physics-inspired optimizers for deep learning, focusing on their behavior beyond the stability limit. They identified period-two orbits that can maintain stability if the optimizer's elasticity is within a specific range. The study also found that delayed instability, akin to Neishtadt's theory of slowly swept bifurcations, accurately describes the dynamics in neural networks. Experiments on MLPs and ResNets support these theoretical findings, suggesting that matching effective learning rates can replicate some of the observed benefits. AI

IMPACT Provides theoretical insights into deep learning optimization dynamics, potentially leading to more stable and efficient training methods.

RANK_REASON Academic paper detailing theoretical and experimental findings on optimization algorithms. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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Physics-inspired optimizers show period-two orbits beyond stability limit

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Academic paper detailing theoretical and experimental findings on optimization algorithms. [lever_c_demoted from research: ic=1 ai=1.0]
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  1. arXiv cs.LG TIER_1 English(EN) · Alexander Itin ·

    Physics-Inspired Optimizers beyond the Edge of Stability: Period-Two Orbits and Delayed Instability

    arXiv:2610.27321v1 Announce Type: cross Abstract: Gradient descent with momentum can be viewed as a particle moving with friction in the loss landscape. In deep learning the learning rate is usually large, so training is a discrete dynamical system: in many full-batch experiments…