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Distributionally robust optimization (DRO) has been introduced for solving stochastic programs where the distribution of the random parameters is unknown and must be estimated by samples from that distribution. A key element of DRO is the…

最优化与控制 · 数学 2019-01-09 Xi Chen , Qihang Lin , Guanglin Xu

We propose a regularisation strategy of classical machine learning algorithms rooted in causality that ensures robustness against distribution shifts. Building upon the anchor regression framework, we demonstrate how incorporating a…

机器学习 · 统计学 2025-03-12 Homer Durand , Gherardo Varando , Nathan Mankovich , Gustau Camps-Valls

In this paper we derive an exact full expression for the 2D probability distribution of the ellipticity of an object measured from data, only assuming Gaussian noise in pixel values. This is a generalisation of the probability distribution…

宇宙学与河外天体物理 · 物理学 2015-06-17 Massimo Viola , Thomas Kitching , Benjamin Joachimi

Self-similar space-filling bearings have been proposed some time ago as models for the motion of tectonic plates and appearance of seismic gaps. These models have two features which, however, seem unrealistic, namely, high symmetry in the…

无序系统与神经网络 · 物理学 2007-05-23 R. Mahmoodi Baram , H. J. Herrmann

Sampling a target probability distribution with an unknown normalization constant is a fundamental challenge in computational science and engineering. Recent work shows that algorithms derived by considering gradient flows in the space of…

机器学习 · 统计学 2024-03-12 Yifan Chen , Daniel Zhengyu Huang , Jiaoyang Huang , Sebastian Reich , Andrew M Stuart

We investigate reinforcement learning (RL) in the presence of distributional mismatch between training and deployment, where policies trained in simulators often underperform in practice due to mismatches between training and deployment…

机器学习 · 计算机科学 2025-11-12 Debamita Ghosh , George K. Atia , Yue Wang

This work develops robust diffusion recursive least squares algorithms to mitigate the performance degradation often experienced in networks of agents in the presence of impulsive noise. The first algorithm minimizes an exponentially…

机器学习 · 计算机科学 2019-02-05 Y. Yu , H. Zhao , R. C. de Lamare , Y. Zakharov , L. Lu

An interesting phenomenon arises: Empirical Risk Minimization (ERM) sometimes outperforms methods specifically designed for out-of-distribution tasks. This motivates an investigation into the reasons behind such behavior beyond algorithmic…

机器学习 · 计算机科学 2026-01-21 Hong Zheng , Fei Teng

Distributionally robust optimization (DRO) is a widely-used approach to learn models that are robust against distribution shift. Compared with the standard optimization setting, the objective function in DRO is more difficult to optimize,…

机器学习 · 计算机科学 2021-10-27 Jikai Jin , Bohang Zhang , Haiyang Wang , Liwei Wang

Distribution shifts are ubiquitous in real-world machine learning applications, posing a challenge to the generalization of models trained on one data distribution to another. We focus on scenarios where data distributions vary across…

机器学习 · 统计学 2024-06-05 Steven Wilkins-Reeves , Xu Chen , Qi Ma , Christine Agarwal , Aude Hofleitner

Offline reinforcement learning aims to learn from pre-collected datasets without active exploration. This problem faces significant challenges, including limited data availability and distributional shifts. Existing approaches adopt a…

机器学习 · 计算机科学 2024-10-01 Yue Wang , Jinjun Xiong , Shaofeng Zou

This paper investigates group distributionally robust optimization (GDRO) with the goal of learning a model that performs well over $m$ different distributions. First, we formulate GDRO as a stochastic convex-concave saddle-point problem,…

机器学习 · 计算机科学 2024-11-21 Lijun Zhang , Haomin Bai , Peng Zhao , Tianbao Yang , Zhi-Hua Zhou

This dissertation investigates how reinforcement learning (RL) methods can be designed to be safe, sample-efficient, and robust. Framed through the unifying perspective of contextual-bandit RL, the work addresses two major application…

机器学习 · 计算机科学 2025-10-20 Shashank Gupta

This paper aims to study a new stochastic order based upon discrete Laplace transforms. By this order, in a setup where the sample size is random, having discrete delta and nabla distributions, we obtain some ordering results involving…

统计理论 · 数学 2021-04-09 Fatemeh Gharari , Masoud Ganji

We derive an efficient stochastic algorithm for inverse problems that present an unknown linear forcing term and a set of nonlinear parameters to be recovered. It is assumed that the data is noisy and that the linear part of the problem is…

数值分析 · 数学 2019-09-17 Darko Volkov

Off-policy evaluation and learning are concerned with assessing a given policy and learning an optimal policy from offline data without direct interaction with the environment. Often, the environment in which the data are collected differs…

机器学习 · 计算机科学 2024-01-18 Yi Shen , Pan Xu , Michael M. Zavlanos

Recognizing 3D objects in the presence of noise, varying mesh resolution, occlusion and clutter is a very challenging task. This paper presents a novel method named Rotational Projection Statistics (RoPS). It has three major modules: Local…

计算机视觉与模式识别 · 计算机科学 2013-04-12 Yulan Guo , Ferdous Sohel , Mohammed Bennamoun , Min Lu , Jianwei Wan

Modern neural networks are known to give overconfident prediction for out-of-distribution inputs when deployed in the open world. It is common practice to leverage a surrogate outlier dataset to regularize the model during training, and…

机器学习 · 计算机科学 2024-02-27 Wenyu Jiang , Hao Cheng , Mingcai Chen , Chongjun Wang , Hongxin Wei

A mixture of shifted asymmetric Laplace distributions is introduced and used for clustering and classification. A variant of the EM algorithm is developed for parameter estimation by exploiting the relationship with the general inverse…

统计方法学 · 统计学 2017-10-09 Brian C. Franczak , Ryan P. Browne , Paul D. McNicholas

We introduce the beta generalized normal distribution which is obtained by compounding the beta and generalized normal [Nadarajah, S., A generalized normal distribution, \emph{Journal of Applied Statistics}. 32, 685--694, 2005]…

统计理论 · 数学 2022-06-06 R. J. Cintra , L. C. Rêgo , G. M. Cordeiro , A. D. C. Nascimento