Sample Average Approximation for Black-Box Variational Inference

TMLR Paper1143 Authors

10 May 2023 (modified: 17 Sept 2024)Rejected by TMLREveryoneRevisionsBibTeXCC BY 4.0
Abstract: We present a novel approach for black-box VI that bypasses the difficulties of stochastic gradient ascent, including the task of selecting step-sizes. Our approach involves using a sequence of sample average approximation (SAA) problems. SAA approximates the solution of stochastic optimization problems by transforming them into deterministic ones. We use quasi-Newton methods and line search to solve each deterministic optimization problem and present a heuristic policy to automate hyperparameter selection. Our experiments show that our method simplifies the VI problem and achieves faster performance than existing methods.
Submission Length: Regular submission (no more than 12 pages of main content)
Changes Since Last Submission: Added changes suggested by reviewers.
Assigned Action Editor: ~Branislav_Kveton1
Submission Number: 1143
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