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Stochastic L-BFGS: Improved Convergence Rates and Practical Acceleration Strategies
Journal article   Open access   Peer reviewed

Stochastic L-BFGS: Improved Convergence Rates and Practical Acceleration Strategies

Renbo Zhao, William Benjamin Haskell and Vincent Y. F. Tan
IEEE transactions on signal processing, Vol.66(5), pp.1155-1169
03/01/2018
DOI: 10.1109/TSP.2017.2784360
url
https://arxiv.org/pdf/1704.00116View
Open Access

Abstract

We revisit the stochastic limited-memory Broyden-Fletcher-Goldfarb-Shanno (L-BFGS) algorithm. By proposing a new coordinate transformation framework for the convergence analysis, we prove improved convergence rates and computational complexities of the stochastic L-BFGS algorithms compared to previous works. In addition, we propose several practical acceleration strategies to speed up the empirical performance of such algorithms. We also provide theoretical analyses for most of the strategies. Experiments on large-scale logistic and ridge regression problems demonstrate that our proposed strategies yield significant improvements vis-à-vis competing state-of-the-art algorithms.
Acceleration acceleration strategies Algorithm design and analysis Computational complexity Convergence L-Broyden–Fletcher–Goldfarb–Shanno (BFGS) algorithm large-scale data linear convergence Logistics Optimization Signal processing algorithms Stochastic optimization

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