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Kernel methods, particularly kernel ridge regression (KRR), are time-proven, powerful nonparametric regression techniques known for their rich capacity, analytical simplicity, and computational tractability. The analysis of their predictive…

统计理论 · 数学 2025-09-23 Xin Bing , Xin He , Chao Wang

It is of importance to develop statistical techniques to analyze high-dimensional data in the presence of both complex dependence and possible outliers in real-world applications such as imaging data analyses. We propose a new robust…

统计方法学 · 统计学 2021-10-01 Bingyuan Liu , Qi Zhang , Lingzhou Xue , Peter X. K. Song , Jian Kang

We introduce a criterion, resilience, which allows properties of a dataset (such as its mean or best low rank approximation) to be robustly computed, even in the presence of a large fraction of arbitrary additional data. Resilience is a…

机器学习 · 计算机科学 2017-11-28 Jacob Steinhardt , Moses Charikar , Gregory Valiant

This paper is concerned with robust instability analysis of linear feedback systems subject to a dynamic uncertainty. The work is motivated by, and provides a basic foundation for, a more challenging problem of analyzing persistence of…

系统与控制 · 电气工程与系统科学 2021-01-28 Shinji Hara , Tetsuya Iwasaki , Yutaka Hori

The last decade has seen a number of advances in computationally efficient algorithms for statistical methods subject to robustness constraints. An estimator may be robust in a number of different ways: to contamination of the dataset, to…

机器学习 · 统计学 2025-09-08 Gautam Kamath

Updating machine learning models with new information usually improves their predictive performance, yet, in many applications, it is also desirable to avoid changing the model predictions too much. This property is called stability. In…

机器学习 · 计算机科学 2024-02-22 Morten Blørstad , Berent Å. S. Lunde , Nello Blaser

Adaptive medical AI models often face performance drops in dynamic clinical environments due to data drift. We propose an autonomous continuous monitoring and data integration framework that maintains robust performance over time. Focusing…

计算机视觉与模式识别 · 计算机科学 2026-04-13 Mohammad Daouk , Jan Ulrich Becker , Neeraja Kambham , Anthony Chang , Chandra Mohan , Hien Van Nguyen

We introduce a methodology for robust Bayesian estimation with robust divergence (e.g., density power divergence or {\gamma}-divergence), indexed by a single tuning parameter. It is well known that the posterior density induced by robust…

统计方法学 · 统计学 2022-07-04 Shouto Yonekura , Shonosuke Sugasawa

Machine learning and data analysis have been used in many robotics fields, especially for modelling. Data are usually the result of sensor measurements and, as such, they might be subjected to noise and outliers. The presence of outliers…

机器人学 · 计算机科学 2019-08-26 Francesco Cursi , Guang-Zhong Yang

Over the last decade, the development of deep image classification networks has mostly been driven by the search for the best performance in terms of classification accuracy on standardized benchmarks like ImageNet. More recently, this…

计算机视觉与模式识别 · 计算机科学 2021-08-20 Kalun Ho , Franz-Josef Pfreundt , Janis Keuper , Margret Keuper

Robustness under perturbation and contamination is a prominent issue in statistical learning. We address the robust nonlinear regression based on the so-called interval conditional value-at-risk (In-CVaR), which is introduced to enhance…

最优化与控制 · 数学 2026-01-19 Yulei You , Junyi Liu

The inflated beta regression model is widely used for modeling continuous proportions with values at the boundaries. Maximum likelihood estimation for these models is well-known for its sensitivity to outliers, which can severely distort…

统计方法学 · 统计学 2026-05-15 Francisco Felipe Queiroz , Silvia Lopes de Paula Ferrari

We develop inference procedures robust to general forms of weak dependence. The procedures utilize test statistics constructed by resampling in a manner that does not depend on the unknown correlation structure of the data. We prove that…

计量经济学 · 经济学 2021-08-26 Michael P. Leung

We consider a data-driven robust hypothesis test where the optimal test will minimize the worst-case performance regarding distributions that are close to the empirical distributions with respect to the Wasserstein distance. This leads to a…

统计理论 · 数学 2021-06-01 Liyan Xie , Rui Gao , Yao Xie

The ordinary Bayes estimator based on the posterior density suffers from the potential problems of non-robustness under data contamination or outliers. In this paper, we consider the general set-up of independent but non-homogeneous (INH)…

统计理论 · 数学 2019-11-28 Tuhin Majumder , Ayanendranath Basu , Abhik Ghosh

We study the model robustness against adversarial examples, referred to as small perturbed input data that may however fool many state-of-the-art deep learning models. Unlike previous research, we establish a novel theory addressing the…

机器学习 · 计算机科学 2020-06-11 Shufei Zhang , Kaizhu Huang , Zenglin Xu

A robust estimator for a wide family of mixtures of linear regression is presented. Robustness is based on the joint adoption of the Cluster Weighted Model and of an estimator based on trimming and restrictions. The selected model provides…

统计方法学 · 统计学 2015-02-05 L. A. Garcia-Escudero , A. Gordaliza , F. Greselin , S. Ingrassia , A. Mayo-Iscar

Machine learning systems can produce personalized outputs that allow an adversary to infer sensitive input attributes at inference time. We introduce Robust Privacy (RP), an inference-time privacy notion inspired by certified robustness: if…

机器学习 · 计算机科学 2026-01-27 Jiankai Jin , Xiangzheng Zhang , Zhao Liu , Deyue Zhang , Quanchen Zou

The increasing penetration of inverter-based resources (IBRs) is fundamentally reshaping power system dynamics and creating new challenges for stability assessment. Data-driven approaches, and in particular machine learning models, require…

Incorporating renewable energy sources into modern power grids has significantly decreased system inertia, which has raised concerns about power system vulnerability to disturbances and frequency instability. The conventional methods for…

系统与控制 · 电气工程与系统科学 2025-04-29 Negar Monir , Mahdieh S. Sadabadi , Sadegh Soudjani