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Randomized Sharpness-Aware Training for Boosting Computational Efficiency in Deep Learning
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By driving models to converge to flat minima, sharpness-aware learning algorithms (such as SAM) have shown the power to achieve state-of-the-art performances. However, these algorithms will generally incur one extra forward-backward propagation at each training iteration, which largely burdens the computation especially for scalable models. To this end, we propose a simple yet efficient training scheme, called Randomized Sharpness-Aware Training (RST). Optimizers in RST would perform a Bernoulli trial at each iteration to choose randomly from base algorithms (SGD) and sharpness-aware algorithms (SAM) with a probability arranged by a predefined scheduling function. Due to the mixture of base algorithms, the overall count of propagation pairs could be largely reduced. Also, we give theoretical analysis on the convergence of RST. Then, we empirically study the computation cost and effect of various types of scheduling functions, and give directions on setting appropriate scheduling functions. Further, we extend the RST to a general framework (G-RST), where we can adjust regularization degree on sharpness freely for any scheduling function. We show that G-RST can outperform SAM in most cases while saving 50\% extra computation cost.
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Cited by 4 Pith papers
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Flat Minima and Generalization: Insights from Stochastic Convex Optimization
In smooth stochastic convex optimization, flat empirical minima can incur constant population risk while sharp minima generalize optimally, and sharpness-aware algorithms can converge to such bad flat minima.
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On the Implicit Flatness Bias of Sharpness-Aware Minimization: A Linear Stability Analysis with Quantitative Hyperparameter Bounds
SAM's largest Hessian eigenvalue is bounded by the cube root of bGamma/(2*rho*eta^2), so larger radius, smaller batch, or larger learning rate restrict linearly stable minima to flatter regions.
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Towards Understanding The Calibration Benefits of Sharpness-Aware Minimization
SAM's calibration benefit is attributed to implicit entropy maximization, but the proof rests on an unstated gradient-norm assumption; CSAM shows further ECE reductions.
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VASSO: Variance Suppression for Sharpness-Aware Minimization
VASSO replaces SAM's minibatch gradient with an exponential moving average of past gradients when computing the adversarial perturbation, improving generalization across vision and language tasks.
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