Unverified50% confidenceFactExact time
SGD stability typically concerns step size and the covariance structure of gradient noise, whereas the new conditions directly relate to the frequency and information content of feedback.
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10/27/2026
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UnverifiedThe newly derived stability conditions are complementary to but conceptually distinct from the stability conditions of stochastic gradient descent (SGD).77% similarVerifiedStochastic gradient descent (SGD) uses only one sample at a time, which is fast but produces noisy update directions.74% similarUnverifiedSignal stationarity means that the statistical properties of a time series (mean, variance, autocorrelation structure) do not change over time; forecasting each chunk of a non-stationary series independently may cause jumps in the output at the seams.72% similarUnverifiedThe paper proves that the SGD iterates converge to a stable OU process at the central fluctuation scale and uses this limit to characterize the tail probabilities.71% similarUnverifiedUnder the SDE framework, the effect of batch size on gradient noise variance can be compensated by adjusting the balance between the drift term and the diffusion term, thereby achieving consistent generation quality across different batch sizes.68% similar
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