Distributionally Robust Optimization via Ball Oracle Acceleration

Authors: Yair Carmon, Danielle Hausler

NeurIPS 2022 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical We develop and analyze algorithms for distributionally robust optimization (DRO) of convex losses. In particular, we consider group-structured and bounded f-divergence uncertainty sets. Our approach relies on an accelerated method that queries a ball optimization oracle, i.e., a subroutine that minimizes the objective within a small ball around the query point. Our main contribution is efficient implementations of this oracle for DRO objectives. For DRO with N non-smooth loss functions, the resulting algorithms find an -accurate solution with first-order oracle queries to individual loss functions. Compared to existing algorithms for this problem, we improve complexity by a factor of up to 4/3.
Researcher Affiliation Academia Yair Carmon Tel Aviv University ycarmon@tauex.tau.ac.il Danielle Hausler Tel Aviv University hausler@mail.tau.ac.il
Pseudocode No While the paper refers to algorithms by number (e.g., "Algorithm 1", "Algorithm 3", "Algorithm 4"), the actual pseudocode blocks or structured algorithm listings are not present within the PDF document.
Open Source Code No The paper does not provide any statements or links indicating that open-source code for the described methodology is available.
Open Datasets No This is a theoretical paper focused on algorithm design and complexity analysis. It does not conduct empirical studies, and therefore, no datasets are used or mentioned for training.
Dataset Splits No This is a theoretical paper focused on algorithm design and complexity analysis. It does not conduct empirical studies, and therefore, no dataset splits (training, validation, or test) are specified.
Hardware Specification No This is a theoretical paper focused on algorithm design and complexity analysis. It does not report on experiments, and therefore, no hardware specifications are provided.
Software Dependencies No This is a theoretical paper focused on algorithm design and complexity analysis. It does not report on experiments or provide implementation details that would require specific software dependencies with version numbers.
Experiment Setup No This is a theoretical paper focused on algorithm design and complexity analysis. It does not conduct experiments and therefore does not include details on experimental setup or hyperparameters.