Statistical analysis of Wasserstein distributionally robust estimators

J Blanchet, K Murthy… - Tutorials in Operations …, 2021 - pubsonline.informs.org
We consider statistical methods that invoke a min-max distributionally robust formulation to
extract good out-of-sample performance in data-driven optimization and learning problems …

Distributionally favorable optimization: A framework for data-driven decision-making with endogenous outliers

N Jiang, W Xie - SIAM Journal on Optimization, 2024 - SIAM
A typical data-driven stochastic program seeks the best decision that minimizes the sum of a
deterministic cost function and an expected recourse function under a given distribution …

Distributionally robust optimization and robust statistics

J Blanchet, J Li, S Lin, X Zhang - arXiv preprint arXiv:2401.14655, 2024 - arxiv.org
We review distributionally robust optimization (DRO), a principled approach for constructing
statistical estimators that hedge against the impact of deviations in the expected loss …

On linear optimization over Wasserstein balls

MC Yue, D Kuhn, W Wiesemann - Mathematical Programming, 2022 - Springer
Wasserstein balls, which contain all probability measures within a pre-specified Wasserstein
distance to a reference measure, have recently enjoyed wide popularity in the …

Wasserstein Distributionally Robust Linear-Quadratic Estimation under Martingale Constraints

K Lotidis, N Bambos, J Blanchet… - … Conference on Artificial …, 2023 - proceedings.mlr.press
We focus on robust estimation of the unobserved state of a discrete-time stochastic system
with linear dynamics. A standard analysis of this estimation problem assumes a baseline …

Robust bayesian recourse

TDH Nguyen, N Bui, D Nguyen… - Uncertainty in …, 2022 - proceedings.mlr.press
Algorithmic recourse aims to recommend an informative feedback to overturn an
unfavorable machine learning decision. We introduce in this paper the Bayesian recourse, a …

Sequential domain adaptation by synthesizing distributionally robust experts

B Taskesen, MC Yue, J Blanchet… - International …, 2021 - proceedings.mlr.press
Least squares estimators, when trained on few target domain samples, may predict poorly.
Supervised domain adaptation aims to improve the predictive accuracy by exploiting …

[PDF][PDF] Contextual decision-making under parametric uncertainty and data-driven optimistic optimization

J Cao, R Gao - Available at Optimization Online, 2021 - optimization-online.org
We consider decision-making problems with contextual information, in which the reward
function involves uncertain parameters that can be predicted using covariates. To quantify …

Calculating optimistic likelihoods using (geodesically) convex optimization

VA Nguyen, S Shafieezadeh Abadeh… - Advances in …, 2019 - proceedings.neurips.cc
A fundamental problem arising in many areas of machine learning is the evaluation of the
likelihood of a given observation under different nominal distributions. Frequently, these …

Robust bayesian classification using an optimistic score ratio

VA Nguyen, N Si, J Blanchet - International Conference on …, 2020 - proceedings.mlr.press
We build a Bayesian contextual classification model using an optimistic score ratio for robust
binary classification when there is limited information on the class-conditional, or contextual …