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To train machine learning models that are robust to distribution shifts in the data, distributionally robust optimization (DRO) has been proven very effective. However, the existing approaches to learning a distributionally robust model…

Machine Learning · Computer Science 2022-03-21 Farzin Haddadpour , Mohammad Mahdi Kamani , Mehrdad Mahdavi , Amin Karbasi

Classic Bayesian methods with complex models are frequently infeasible due to an intractable likelihood. Simulation-based inference methods, such as Approximate Bayesian Computing (ABC), calculate posteriors without accessing a likelihood…

Computation · Statistics 2026-01-09 Elliot Maceda , Emily C. Hector , Amanda Lenzi , Brian J. Reich

We consider a two-stage distributionally robust optimization (DRO) model with multimodal uncertainty, where both the mode probabilities and uncertainty distributions could be affected by the first-stage decisions. To address this setting,…

Optimization and Control · Mathematics 2026-02-03 Xian Yu , Beste Basciftci

We introduce a robust variant of the Kelly portfolio optimization model, called the Wasserstein-Kelly portfolio optimization. Our model, taking a Wasserstein distributionally robust optimization (DRO) formulation, addresses the fundamental…

Portfolio Management · Quantitative Finance 2023-02-28 Jonathan Yu-Meng Li

We review distributionally robust optimization (DRO), a principled approach for constructing statistical estimators that hedge against the impact of deviations in the expected loss between the training and deployment environments. Many…

Methodology · Statistics 2024-01-29 Jose Blanchet , Jiajin Li , Sirui Lin , Xuhui Zhang

Output uncertainty indicates whether the probabilistic properties reflect objective characteristics of the model output. Unlike most loss functions and metrics in machine learning, uncertainty pertains to individual samples, but validating…

Machine Learning · Computer Science 2024-12-23 Siyuan Zhang , Linbo Xie

A large class of stochastic programs involve optimizing an expectation taken with respect to an underlying distribution that is unknown in practice. One popular approach to addressing the distributional uncertainty, known as the…

Optimization and Control · Mathematics 2017-08-30 Di Wu , Helin Zhu , Enlu Zhou

Trust Region Policy Optimization (TRPO) and Proximal Policy Optimization (PPO), as the widely employed policy based reinforcement learning (RL) methods, are prone to converge to a sub-optimal solution as they limit the policy representation…

Machine Learning · Computer Science 2020-06-16 Jun Song , Chaoyue Zhao

Model-based algorithms, which learn a dynamics model from logged experience and perform some sort of pessimistic planning under the learned model, have emerged as a promising paradigm for offline reinforcement learning (offline RL).…

Machine Learning · Computer Science 2022-01-28 Tianhe Yu , Aviral Kumar , Rafael Rafailov , Aravind Rajeswaran , Sergey Levine , Chelsea Finn

A common goal in statistics and machine learning is to learn models that can perform well against distributional shifts, such as latent heterogeneous subpopulations, unknown covariate shifts, or unmodeled temporal effects. We develop and…

Machine Learning · Statistics 2020-07-21 John Duchi , Hongseok Namkoong

We introduce a novel combination of Bayesian Models (BMs) and Neural Networks (NNs) for making predictions with a minimum expected risk. Our approach combines the best of both worlds, the data efficiency and interpretability of a BM with…

Machine Learning · Computer Science 2021-09-28 Mathias Löwe , Per Lunnemann Hansen , Sebastian Risi

This study reveals the inherent tolerance of contrastive learning (CL) towards sampling bias, wherein negative samples may encompass similar semantics (\eg labels). However, existing theories fall short in providing explanations for this…

Machine Learning · Computer Science 2023-10-18 Junkang Wu , Jiawei Chen , Jiancan Wu , Wentao Shi , Xiang Wang , Xiangnan He

We study empirical Bayes estimation in high-dimensional linear regression. To facilitate computationally efficient estimation of the underlying prior, we adopt a variational empirical Bayes approach, introduced originally in Carbonetto and…

Statistics Theory · Mathematics 2023-10-27 Sumit Mukherjee , Bodhisattva Sen , Subhabrata Sen

A framework for risk-averse optimization problems is introduced that is resilient to ambiguities in the true form of the underlying probability distribution. The focus is on problems with partial differential equations (PDEs) as…

Optimization and Control · Mathematics 2026-04-14 Harbir Antil , Alonso J. Bustos , Sean P. Carney , Benjamín Venegas

In robotics, deep learning (DL) methods are used more and more widely, but their general inability to provide reliable confidence estimates will ultimately lead to fragile and unreliable systems. This impedes the potential deployments of DL…

Robotics · Computer Science 2020-11-02 Matthias Humt , Jongseok Lee , Rudolph Triebel

We introduce Neural Optimal Design of Experiments, a learning-based framework for optimal experimental design in inverse problems that avoids classical bilevel optimization and indirect sparsity regularization. NODE jointly trains a neural…

Machine Learning · Computer Science 2026-01-08 John E. Darges , Babak Maboudi Afkham , Matthias Chung

This paper deals with the identification of linear stochastic dynamical systems, where the unknowns include system coefficients and noise variances. Conventional approaches that rely on the maximum likelihood estimation (MLE) require…

Machine Learning · Statistics 2025-08-18 Jinwen Xu , Qin Lu , Yaakov Bar-Shalom

Within the realm of rapidly advancing wireless sensor networks (WSNs), distributed detection assumes a significant role in various practical applications. However, critical challenge lies in maintaining robust detection performance while…

Information Theory · Computer Science 2024-04-02 Wei Guo , Meng He , Chuan Huang , Hengtao He , Shenghui Song , Jun Zhang , Khaled B. Letaief

This paper concerns the central issues of model robustness and sample efficiency in offline reinforcement learning (RL), which aims to learn to perform decision making from history data without active exploration. Due to uncertainties and…

Machine Learning · Computer Science 2024-01-01 Laixi Shi , Yuejie Chi

We consider the off-policy evaluation (OPE) problem in contextual bandits, where the goal is to estimate the value of a target policy using the data collected by a logging policy. Most popular approaches to the OPE are variants of the…

Machine Learning · Statistics 2024-08-20 Sutanoy Dasgupta , Yabo Niu , Kishan Panaganti , Dileep Kalathil , Debdeep Pati , Bani Mallick
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