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Reinforcement learning from human feedback (RLHF) has evolved to be one of the main methods for fine-tuning large language models (LLMs). However, existing RLHF methods are non-robust, and their performance deteriorates if the downstream…

机器学习 · 计算机科学 2025-03-04 Debmalya Mandal , Paulius Sasnauskas , Goran Radanovic

Stochastic Optimization (SO) is a classical approach for optimization under uncertainty that typically requires knowledge about the probability distribution of uncertain parameters. As the latter is often unknown, Distributionally Robust…

We consider stochastic programs conditional on some covariate information, where the only knowledge of the possible relationship between the uncertain parameters and the covariates is reduced to a finite data sample of their joint…

最优化与控制 · 数学 2021-11-23 Adrián Esteban-Pérez , Juan M. Morales

Data-driven Distributionally Robust Optimization (DD-DRO) via optimal transport has been shown to encompass a wide range of popular machine learning algorithms. The distributional uncertainty size is often shown to correspond to the…

机器学习 · 统计学 2021-05-12 Jose Blanchet , Yang Kang , Fan Zhang , Fei He , Zhangyi Hu

We consider a residuals-based distributionally robust optimization (DRO) model, where the underlying uncertainty depends on both covariate information and our decisions. We adopt both parametric and nonparametric regression models to learn…

最优化与控制 · 数学 2026-05-21 Qing Zhu , Xian Yu , Guzin Bayraksan

The goal of this paper is to develop distributionally robust optimization (DRO) estimators, specifically for multidimensional Extreme Value Theory (EVT) statistics. EVT supports using semi-parametric models called max-stable distributions…

机器学习 · 统计学 2024-08-02 Patrick Kuiper , Ali Hasan , Wenhao Yang , Yuting Ng , Hoda Bidkhori , Jose Blanchet , Vahid Tarokh

Regularized estimators in the context of group variables have been applied successfully in model and feature selection in order to preserve interpretability. We formulate a Distributionally Robust Optimization (DRO) problem which recovers…

统计理论 · 数学 2017-05-12 Jose Blanchet , Yang Kang

Recent progress in Large Language Model (LLM) reasoning is increasingly driven by the refinement of post-training loss functions and alignment strategies. However, standard Reinforcement Learning (RL) paradigms like Group Relative Policy…

机器学习 · 计算机科学 2026-01-28 Kishan Panaganti , Zhenwen Liang , Wenhao Yu , Haitao Mi , Dong Yu

We propose a distributionally robust formulation of the traditional risk parity portfolio optimization problem. Distributional robustness is introduced by targeting the discrete probabilities attached to each observation used during…

最优化与控制 · 数学 2021-10-14 Giorgio Costa , Roy H. Kwon

Constrained optimization provides a common framework for dealing with conflicting objectives in reinforcement learning (RL). In most of these settings, the objectives (and constraints) are expressed though the expected accumulated reward.…

机器学习 · 计算机科学 2025-12-03 Jane H. Lee , Baturay Saglam , Spyridon Pougkakiotis , Amin Karbasi , Dionysis Kalogerias

In this paper, we consider learning scenarios where the learned model is evaluated under an unknown test distribution which potentially differs from the training distribution (i.e. distribution shift). The learner has access to a family of…

机器学习 · 计算机科学 2022-02-14 Alekh Agarwal , Tong Zhang

We establish a connection between distributionally robust optimization (DRO) and classical robust statistics. We demonstrate that this connection arises naturally in the context of estimation under data corruption, where the goal is to…

最优化与控制 · 数学 2024-10-21 Gabriel Chan , Bart Van Parys , Amine Bennouna

In this paper, we provide extended convolution bounds for the Fr\'{e}chet problem and discuss related implications in quantitative risk management. First, we establish a new form of inequality for the Range-Value-at-Risk (RVaR). Based on…

风险管理 · 定量金融 2025-12-01 Peng Liu , Yang Liu , Houhan Teng

Asset Liability Management (ALM) represents a fundamental challenge for financial institutions, particularly pension funds, which must navigate the tension between generating competitive investment returns and ensuring the solvency of…

投资组合管理 · 定量金融 2026-02-10 Alireza Ghahtarani , Ahmed Saif , Alireza Ghasemi

In problems that involve input parameter information gathered from multiple data sources with varying reliability, incorporating decision makers' trust on different sources in optimization models can potentially improve solution…

最优化与控制 · 数学 2026-02-27 Yanru Guo , Ruiwei Jiang , Siqian Shen

Despite superior performance in many situations, deep neural networks are often vulnerable to adversarial examples and distribution shifts, limiting model generalization ability in real-world applications. To alleviate these problems,…

机器学习 · 计算机科学 2023-02-14 Hoang Phan , Trung Le , Trung Phung , Tuan Anh Bui , Nhat Ho , Dinh Phung

This paper studies distributionally robust optimization for a rich class of risk measures with ambiguity sets defined by $\phi$-divergences. The risk measures are allowed to be non-linear in probabilities, are represented by Choquet…

最优化与控制 · 数学 2025-04-15 Guanyu Jin , Roger J. A. Laeven , Dick den Hertog

In this paper, we study communication efficient distributed algorithms for distributionally robust federated learning via periodic averaging with adaptive sampling. In contrast to standard empirical risk minimization, due to the minimax…

机器学习 · 计算机科学 2021-02-26 Yuyang Deng , Mohammad Mahdi Kamani , Mehrdad Mahdavi

We seek to provide practicable approximations of the two-stage robust stochastic optimization (RSO) model when its ambiguity set is constructed with an f-divergence radius. These models are known to be numerically challenging to various…

最优化与控制 · 数学 2023-08-15 Aakil M. Caunhye , Douglas Alem

Distributionally robust optimization (DRO) is a powerful technique to train robust models against data distribution shift. This paper aims to solve regularized nonconvex DRO problems, where the uncertainty set is modeled by a so-called…

最优化与控制 · 数学 2025-06-30 Yufeng Yang , Yi Zhou , Zhaosong Lu