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Research map / Optimization / Implicit bias and generalization

Parameters as interacting particles: long time convergence and asymptotic error scaling of neural networks

NeurIPS 2018 · Optimization › Implicit bias and generalization · approach: Gradient flow and mean-field dynamics · 52 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
increase number of hidden units n in a wide single-layer ReLU networkSGD-trained ReLU network · 3-spin target, d=50empirical lossHelped
increase number of hidden units n in sigmoid networksSGD-trained sigmoid network · 3-spin target, d=10 and d=25loss and signed discrepancyHelped
quench SGD noise with larger batch size or smaller step late in trainingSGD · asymptotic error theory and ReLU experimentsrepresentation error orderHelped

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