Search Results for author: Sloan Nietert

Found 6 papers, 3 papers with code

Robust Estimation under the Wasserstein Distance

1 code implementation2 Feb 2023 Sloan Nietert, Rachel Cummings, Ziv Goldfeld

We study the problem of robust distribution estimation under the Wasserstein metric, a popular discrepancy measure between probability distributions rooted in optimal transport (OT) theory.

Statistical, Robustness, and Computational Guarantees for Sliced Wasserstein Distances

1 code implementation17 Oct 2022 Sloan Nietert, Ritwik Sadhu, Ziv Goldfeld, Kengo Kato

The goal of this work is to quantify this scalability from three key aspects: (i) empirical convergence rates; (ii) robustness to data contamination; and (iii) efficient computational methods.

Numerical Integration

Learning in Stackelberg Games with Non-myopic Agents

no code implementations19 Aug 2022 Nika Haghtalab, Thodoris Lykouris, Sloan Nietert, Alex Wei

Although learning in Stackelberg games is well-understood when the agent is myopic, non-myopic agents pose additional complications.

Outlier-Robust Optimal Transport: Duality, Structure, and Statistical Analysis

1 code implementation2 Nov 2021 Sloan Nietert, Rachel Cummings, Ziv Goldfeld

The Wasserstein distance, rooted in optimal transport (OT) theory, is a popular discrepancy measure between probability distributions with various applications to statistics and machine learning.

Smooth $p$-Wasserstein Distance: Structure, Empirical Approximation, and Statistical Applications

no code implementations11 Jan 2021 Sloan Nietert, Ziv Goldfeld, Kengo Kato

Discrepancy measures between probability distributions, often termed statistical distances, are ubiquitous in probability theory, statistics and machine learning.

Two-sample testing

Learning with Comparison Feedback: Online Estimation of Sample Statistics

no code implementations11 Jan 2021 Michela Meister, Sloan Nietert

We study an online version of the noisy binary search problem where feedback is generated by a non-stochastic adversary rather than perturbed by random noise.

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