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7 results for shuffle-once

The paper analyzes the variance of different shuffling methods in stochastic gradient descent.

problem Understanding the variance of different shuffling methods in stochastic gradient descent.
method Power spectral density analysis to study the noise sequences of stochastic gradients.
result The stationary variances of iterates decrease in the order of SGD, SGD-RR, and SGD-SO.

New convergence rates for shuffling gradient methods without strong convexity.

problem Theoretical gap between shuffling gradient methods' empirical success and established convergence rates.
method Proved last-iterate convergence rates for shuffling gradient methods using function value gap.
result First last-iterate convergence rates for shuffling gradient methods without strong convexity.

Unified analysis of asynchronous-SGD algorithms for distributed learning.

problem Analyzing asynchronous-SGD in heterogeneous settings with varying speeds and data distributions.
method Unified convergence theory for non-convex smooth functions, including pure asynchronous SGD and its modifications.
result Unified convergence rates for various asynchronous algorithms, including novel methods.

Sampling without replacement speeds up optimization in minimax problems.

problem Optimizing minimax problems with faster convergence rates.
method Analysis of gradient descent ascent and proximal point method with two sampling strategies.
result Sampling without replacement leads to faster convergence rates in minimax optimization.

Improved convergence for VIPs with SEG-RR, a variant of SEG with random reshuffling.

problem Solving variational inequality problems (VIPs) in machine learning.
method Stochastic Extragradient with Random Reshuffling (SEG-RR).
result SEG-RR achieves faster convergence rates than with-replacement variants for certain VIP classes.

We study the performance of stochastic gradient descent (SGD) on smooth and strongly-convex finite-sum optimization problems. In contrast to the majority of existing theoretical works, which assume that individual functions are sampled with replacement, we focus here on popular but poorly-understood heuristics, which i…

2019-07-31abs ↗pdf ↗