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The Cartographer
A Unified Approach to Discrepancy Minimization
May 02, 2022 Β· Declared Dead Β· π International Workshop and International Workshop on Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques
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Authors
Nikhil Bansal, Aditi Laddha, Santosh S. Vempala
arXiv ID
2205.01023
Category
cs.DS: Data Structures & Algorithms
Citations
10
Venue
International Workshop and International Workshop on Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques
Last Checked
4 months ago
Abstract
We study a unified approach and algorithm for constructive discrepancy minimization based on a stochastic process. By varying the parameters of the process, one can recover various state-of-the-art results. We demonstrate the flexibility of the method by deriving a discrepancy bound for smoothed instances, which interpolates between known bounds for worst-case and random instances.
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