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Recently, tensor low-rank representation (TLRR) has become a popular tool for tensor data recovery and clustering, due to its empirical success and theoretical guarantees. However, existing TLRR methods consider Gaussian or gross sparse…

Machine Learning · Statistics 2024-04-29 Tong Wu

Contamination can severely distort an estimator unless the estimation procedure is suitably robust. This is a well-known issue and has been addressed in Robust Statistics, however, the relation of contamination and distorted variable…

Statistics Theory · Mathematics 2022-07-15 Tino Werner

There is a great need for robust techniques in data mining and machine learning contexts where many standard techniques such as principal component analysis and linear discriminant analysis are inherently susceptible to outliers.…

Methodology · Statistics 2015-09-28 Garth Tarr , Samuel Müller , Neville C. Weber

This paper addresses the transmission network expansion planning problem considering storage units under uncertain demand and generation capacity. A two-stage adaptive robust optimization framework is adopted whereby short- and long-term…

Optimization and Control · Mathematics 2021-01-19 Álvaro García-Cerezo , Luis Baringo , Raquel García-Bertrand

The problem of robustly reconstructing a large number from its erroneous remainders with respect to several moduli, namely the robust remaindering problem, may occur in many applications including phase unwrapping, frequency detection from…

Information Theory · Computer Science 2017-04-05 Li Xiao , Xiang-Gen Xia , Haiye Huo

We propose a framework for distributed robust statistical learning on {\em big contaminated data}. The Distributed Robust Learning (DRL) framework can reduce the computational time of traditional robust learning methods by several orders of…

Machine Learning · Statistics 2015-02-10 Jiashi Feng , Huan Xu , Shie Mannor

Existing ordinal embedding methods usually follow a two-stage routine: outlier detection is first employed to pick out the inconsistent comparisons; then an embedding is learned from the clean data. However, learning in a multi-stage manner…

Machine Learning · Computer Science 2018-12-06 Ke Ma , Qianqian Xu , Xiaochun Cao

This manuscript introduces the idea of using Distributionally Robust Optimization (DRO) for the Counterfactual Risk Minimization (CRM) problem. Tapping into a rich existing literature, we show that DRO is a principled tool for…

Machine Learning · Statistics 2019-12-17 Louis Faury , Ugo Tanielian , Flavian Vasile , Elena Smirnova , Elvis Dohmatob

Many problems in signal processing require finding sparse solutions to under-determined, or ill-conditioned, linear systems of equations. When dealing with real-world data, the presence of outliers and impulsive noise must also be accounted…

Statistics Theory · Mathematics 2017-05-08 Jasin Machkour , Michael Muma , Bastian Alt , Abdelhak M. Zoubir

This note introduces a doubly robust (DR) estimator for regression discontinuity (RD) designs. RD designs provide a quasi-experimental framework for estimating treatment effects, where treatment assignment depends on whether a running…

Econometrics · Economics 2025-01-28 Masahiro Kato

Sigma clipping is commonly used in astronomy for outlier rejection, but the number of standard deviations beyond which one should clip data from a sample ultimately depends on the size of the sample. Chauvenet rejection is one of the…

Instrumentation and Methods for Astrophysics · Physics 2023-01-20 M. P. Maples , D. E. Reichart , N. C. Konz , T. A. Berger , A. S. Trotter , J. R. Martin , D. A. Dutton , M. L. Paggen , R. E. Joyner , C. P. Salemi

Robust optimization is an established framework for modeling optimization problems with uncertain parameters. While static robust optimization is often criticized for being too conservative, two-stage (or adjustable) robust optimization…

Optimization and Control · Mathematics 2024-11-05 Justin Dumouchelle , Esther Julien , Jannis Kurtz , Elias B. Khalil

Multi-task learning (MTL) aims to improve estimation and prediction performance by sharing common information among related tasks. One natural assumption in MTL is that tasks are classified into clusters based on their characteristics.…

Methodology · Statistics 2024-05-28 Akira Okazaki , Shuichi Kawano

This paper investigates the robust transmission design (RTD) of a multi-cell device-to-device (D2D) underlaid cellular network with imperfect channel state information (CSI). The bounded model is adopted to characterize the CSI impairment…

Information Theory · Computer Science 2018-04-17 Hao Xu , Gordon L. Stüber , Wei Xu , Cunhua Pan , Jianfeng Shi , Zhaohui Yang , Ming Chen

The robustness of fault detection algorithms against uncertainty is crucial in the real-world industrial environment. Recently, a new probabilistic design scheme called distributionally robust fault detection (DRFD) has emerged and received…

Optimization and Control · Mathematics 2026-01-16 Yulin Feng , Hailang Jin , Steven X. Ding , Hao Ye , Chao Shang

In precision medicine, Dynamic Treatment Regimes (DTRs) are treatment protocols that adapt over time in response to a patient's observed characteristics. A DTR is a set of decision functions that takes an individual patient's information as…

Methodology · Statistics 2022-03-17 Cong Jiang , Michael Wallace , Mary Thompson

Twin support vector machine (TSVM) is a very classical and practical classifier for pattern classification. However, the traditional TSVM has two limitations. Firstly, it uses the L_2-norm distance metric that leads to its sensitivity to…

Information Retrieval · Computer Science 2024-05-28 Qi Si , Zhi Xia Yang

Large Vision-Language Models (LVLMs) are vulnerable to a growing array of multimodal jailbreak attacks, necessitating defenses that are both generalizable to novel threats and efficient for practical deployment. Many current strategies fall…

Cryptography and Security · Computer Science 2026-04-21 Peichun Hua , Hao Li , Shanghao Shi , Zhiyuan Yu , Ning Zhang

In this work, we address the problem of outlier detection for robust motion estimation by using modern sparse-low-rank decompositions, i.e., Robust PCA-like methods, to impose global rank constraints. Robust decompositions have shown to be…

Computer Vision and Pattern Recognition · Computer Science 2014-10-23 German Ros , Jose Alvarez , Julio Guerrero

Robust reinforcement learning is essential for deploying reinforcement learning algorithms in real-world scenarios where environmental uncertainty predominates. Traditional robust reinforcement learning often depends on rectangularity…

Machine Learning · Computer Science 2024-06-13 Adil Zouitine , David Bertoin , Pierre Clavier , Matthieu Geist , Emmanuel Rachelson