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A pervasive phenomenon in machine learning applications is distribution shift, where training and deployment conditions for a machine learning model differ. As distribution shift typically results in a degradation in performance, much…

机器学习 · 统计学 2024-01-23 Philip Amortila , Tongyi Cao , Akshay Krishnamurthy

This paper addresses a novel \emph{cost-sensitive} distributionally robust log-optimal portfolio problem, where the investor faces \emph{ambiguous} return distributions, and a general convex transaction cost model is incorporated. The…

最优化与控制 · 数学 2024-11-01 Chung-Han Hsieh , Xiao-Rou Yu

In many applications in statistics and machine learning, the availability of data samples from multiple possibly heterogeneous sources has become increasingly prevalent. On the other hand, in distributionally robust optimization, we seek…

机器学习 · 统计学 2022-05-31 Tim Tsz-Kit Lau , Han Liu

Meta-reinforcement learning algorithms provide a data-driven way to acquire policies that quickly adapt to many tasks with varying rewards or dynamics functions. However, learned meta-policies are often effective only on the exact task…

机器学习 · 计算机科学 2023-07-13 Anurag Ajay , Abhishek Gupta , Dibya Ghosh , Sergey Levine , Pulkit Agrawal

Distributionally robust control (DRC) aims to effectively manage distributional ambiguity in stochastic systems. While most existing works address inaccurate distributional information in fully observable settings, we consider a partially…

系统与控制 · 电气工程与系统科学 2022-12-23 Astghik Hakobyan , Insoon Yang

As opposed to standard empirical risk minimization (ERM), distributionally robust optimization aims to minimize the worst-case risk over a larger ambiguity set containing the original empirical distribution of the training data. In this…

机器学习 · 计算机科学 2021-01-06 Jaeho Lee , Maxim Raginsky

In this paper, a risk-aware motion control scheme is considered for mobile robots to avoid randomly moving obstacles when the true probability distribution of uncertainty is unknown. We propose a novel model predictive control (MPC) method…

机器人学 · 计算机科学 2020-01-15 Astghik Hakobyan , Insoon Yang

The analysis of samples of random objects that do not lie in a vector space is gaining increasing attention in statistics. An important class of such object data is univariate probability measures defined on the real line. Adopting the…

统计方法学 · 统计学 2021-07-07 Yaqing Chen , Zhenhua Lin , Hans-Georg Müller

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

Distributional robustness is a promising framework for training deep learning models that are less vulnerable to adversarial examples and data distribution shifts. Previous works have mainly focused on exploiting distributional robustness…

机器学习 · 计算机科学 2023-11-02 Van-Anh Nguyen , Trung Le , Anh Tuan Bui , Thanh-Toan Do , Dinh Phung

The main challenge that sets transfer learning apart from traditional supervised learning is the distribution shift, reflected as the shift between the source and target models and that between the marginal covariate distributions. In this…

机器学习 · 统计学 2024-04-02 Zelin He , Ying Sun , Jingyuan Liu , Runze Li

We consider optimal decision-making problems in an uncertain environment. In particular, we consider the case in which the distribution of the input is unknown, yet there is abundant historical data drawn from the distribution. In this…

最优化与控制 · 数学 2014-10-03 Zizhuo Wang , Peter Glynn , Yinyu Ye

We present a novel $Q$-learning algorithm tailored to solve distributionally robust Markov decision problems where the corresponding ambiguity set of transition probabilities for the underlying Markov decision process is a Wasserstein ball…

机器学习 · 计算机科学 2024-06-21 Ariel Neufeld , Julian Sester

We present a novel data-driven distributionally robust Model Predictive Control formulation for unknown discrete-time linear time-invariant systems affected by unknown and possibly unbounded additive uncertainties. We use off-line collected…

最优化与控制 · 数学 2022-09-20 Francesco Micheli , Tyler Summers , John Lygeros

We propose a scalable robust learning algorithm combining kernel smoothing and robust optimization. Our method is motivated by the convex analysis perspective of distributionally robust optimization based on probability metrics, such as the…

机器学习 · 计算机科学 2022-02-22 Jia-Jie Zhu , Christina Kouridi , Yassine Nemmour , Bernhard Schölkopf

We study decision problems under uncertainty, where the decision-maker has access to $K$ data sources that carry {\em biased} information about the underlying risk factors. The biases are measured by the mismatch between the risk factor…

最优化与控制 · 数学 2024-09-18 Yves Rychener , Adrian Esteban-Perez , Juan M. Morales , Daniel Kuhn

We propose a distributionally robust approach to learning hyperparameters for first-order methods in convex optimization. Given a dataset of problem instances, we minimize a Wasserstein distributionally robust version of the performance…

机器学习 · 计算机科学 2026-05-08 Vinit Ranjan , Jisun Park , Bartolomeo Stellato

Distributional ambiguity sets provide quantifiable ways to characterize the uncertainty about the true probability distribution of random variables of interest. This makes them a key element in data-driven robust optimization by exploiting…

最优化与控制 · 数学 2019-09-26 Dimitris Boskos , Jorge Cortés , Sonia Martínez

Domain generalization aims at learning a universal model that performs well on unseen target domains, incorporating knowledge from multiple source domains. In this research, we consider the scenario where different domain shifts occur among…

机器学习 · 计算机科学 2024-03-26 Jingge Wang , Liyan Xie , Yao Xie , Shao-Lun Huang , Yang Li

We study a variety of Wasserstein distributionally robust optimization (WDRO) problems where the distributions in the ambiguity set are chosen by constraining their Wasserstein discrepancies to the empirical distribution. Using the notion…

最优化与控制 · 数学 2024-02-07 Hong T. M. Chu , Meixia Lin , Kim-Chuan Toh