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This paper addresses the issues of conservativeness and computational complexity of probabilistic robustness analysis. We solve both issues by defining a new sampling strategy and robustness measure. The new measure is shown to be much less…

应用统计 · 统计学 2008-05-12 Xinjia Chen , Kemin Zhou , Jorge L. Aravena

In Bayesian decision theory, it is known that robustness with respect to the loss and the prior can be improved by adding new observations. In this article we study the rate of robustness improvement with respect to the number of…

统计理论 · 数学 2007-06-13 Christophe Abraham , Benoit Cadre

Multi-objective evaluation is a necessary aspect when managing complex systems, as the intrinsic complexity of a system is generally closely linked to the potential number of optimization objectives. However, an evaluation makes no sense…

物理与社会 · 物理学 2016-08-03 Juste Raimbault

ML models are typically trained using large datasets of high quality. However, training datasets often contain inconsistent or incomplete data. To tackle this issue, one solution is to develop algorithms that can check whether a prediction…

机器学习 · 计算机科学 2022-01-19 Austen Z. Fan , Paraschos Koutris

Robustness to adversarial attacks is an important concern due to the fragility of deep neural networks to small perturbations and has received an abundance of attention in recent years. Distributionally Robust Optimization (DRO), a…

机器学习 · 统计学 2020-06-09 Hisham Husain

We study robust estimators of the mean of a probability measure $P$, called robust empirical mean estimators. This elementary construction is then used to revisit a problem of aggregation and a problem of estimator selection, extending…

统计理论 · 数学 2021-07-05 M. Lerasle , R. I. Oliveira

This paper examines robust functional data analysis for discretely observed data, where the underlying process encompasses various distributions, such as heavy tail, skewness, or contaminations. We propose a unified robust concept of…

统计方法学 · 统计学 2023-05-26 Lingxuan Shao , Fang Yao

The presence of outliers (anomalous values) in synthetic aperture radar (SAR) data and the misspecification in statistical image models may result in inaccurate inferences. To avoid such issues, the Rayleigh regression model based on a…

应用统计 · 统计学 2022-08-02 B. G. Palm , F. M. Bayer , R. Machado , M. I. Pettersson , V. T. Vu , R. J. Cintra

Modern machine learning applications should be able to address the intrinsic challenges arising over inference on massive real-world datasets, including scalability and robustness to outliers. Despite the multiple benefits of Bayesian…

机器学习 · 计算机科学 2020-11-10 Dionysis Manousakas , Cecilia Mascolo

In statistical learning and analysis from shared data, which is increasingly widely adopted in platforms such as federated learning and meta-learning, there are two major concerns: privacy and robustness. Each participating individual…

机器学习 · 计算机科学 2021-11-25 Xiyang Liu , Weihao Kong , Sham Kakade , Sewoong Oh

Beta regression models are employed to model continuous response variables in the unit interval, like rates, percentages, or proportions. Their applications rise in several areas, such as medicine, environment research, finance, and natural…

统计方法学 · 统计学 2026-05-15 Yuri S. Maluf , Silvia L. P. Ferrari , Francisco F. Queiroz

This study investigates the performance of robust anomaly detection models in industrial inspection, focusing particularly on their ability to handle noisy data. We propose to leverage the adaptation ability of meta learning approaches to…

计算机视觉与模式识别 · 计算机科学 2025-03-04 Muhammad Aqeel , Shakiba Sharifi , Marco Cristani , Francesco Setti

We give a method for proactively identifying small, plausible shifts in distribution which lead to large differences in model performance. These shifts are defined via parametric changes in the causal mechanisms of observed variables, where…

机器学习 · 计算机科学 2023-01-18 Nikolaj Thams , Michael Oberst , David Sontag

Based on existing ideas in the field of imprecise probabilities, we present a new approach for assessing the reliability of the individual predictions of a generative probabilistic classifier. We call this approach robustness…

机器学习 · 计算机科学 2025-04-11 Adrián Detavernier , Jasper De Bock

Features in predictive models are not exchangeable, yet common supervised models treat them as such. Here we study ridge regression when the analyst can partition the features into $K$ groups based on external side-information. For example,…

统计方法学 · 统计学 2021-03-05 Nikolaos Ignatiadis , Panagiotis Lolas

The robustness of dynamical systems against external perturbations is crucial in engineering; however, it is often overlooked for the lack of methods for rapidly computing it. This paper proposes a novel algorithm for estimating the…

动力系统 · 数学 2023-06-27 Bence Szaksz , Gabor Stepan , Giuseppe Habib

We provide the first global model recovery results for the IRLS (iteratively reweighted least squares) heuristic for robust regression problems. IRLS is known to offer excellent performance, despite bad initializations and data corruption,…

机器学习 · 计算机科学 2020-06-26 Bhaskar Mukhoty , Govind Gopakumar , Prateek Jain , Purushottam Kar

Reinforcement learning (RL) plays a central role in improving the reasoning and alignment of large language models, yet its efficiency critically depends on how training data are selected. Existing online selection strategies predominantly…

机器学习 · 计算机科学 2026-03-03 Xinyu Zhou , Boyu Zhu , Haotian Zhang , Huiming Wang , Zhijiang Guo

Data-driven computing in applied mechanics utilizes the material data set directly, and hence is free from errors and uncertainties stemming from the conventional material modeling. This paper presents a data-driven approach that is robust…

数值分析 · 数学 2019-01-25 Yoshihiro Kanno

Regression neural networks (NNs) are most commonly trained by minimizing the mean squared prediction error, which is highly sensitive to outliers and data contamination. Existing robust training methods for regression NNs are often limited…

机器学习 · 统计学 2026-02-10 Abhik Ghosh , Suryasis Jana
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