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This paper studies sparse linear regression analysis with outliers in the responses. A parameter vector for modeling outliers is added to the standard linear regression model and then the sparse estimation problem for both coefficients and…

Statistics Theory · Mathematics 2015-05-21 Shota Katayama , Hironori Fujisawa

We consider the multivariate response regression problem with a regression coefficient matrix of low, unknown rank. In this setting, we analyze a new criterion for selecting the optimal reduced rank. This criterion differs notably from the…

Methodology · Statistics 2018-10-30 Xin Bing , Marten Wegkamp

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…

Machine Learning · Statistics 2024-01-23 Philip Amortila , Tongyi Cao , Akshay Krishnamurthy

Feature transformation aims to extract a good representation (feature) space by mathematically transforming existing features. It is crucial to address the curse of dimensionality, enhance model generalization, overcome data sparsity, and…

Machine Learning · Computer Science 2022-12-26 Meng Xiao , Dongjie Wang , Min Wu , Kunpeng Liu , Hui Xiong , Yuanchun Zhou , Yanjie Fu

We consider the problem of false data injection attacks modeled as additive disturbances in various parts of a general LTI feedback system and derive necessary and sufficient conditions for the existence of stealthy unbounded attacks. We…

Systems and Control · Computer Science 2017-07-19 Nabil H. Hirzallah , Petros G. Voulgaris

Large outliers break down linear and nonlinear regression models. Robust regression methods allow one to filter out the outliers when building a model. By replacing the traditional least squares criterion with the least trimmed squares…

Optimization and Control · Mathematics 2012-06-07 Gleb Beliakov , Andrei Kelarev , John Yearwood

Recommender systems have become an integral part of online services to help users locate specific information in a sea of data. However, existing studies show that some recommender systems are vulnerable to poisoning attacks, particularly…

Cryptography and Security · Computer Science 2024-04-24 Thanh Toan Nguyen , Quoc Viet Hung Nguyen , Thanh Tam Nguyen , Thanh Trung Huynh , Thanh Thi Nguyen , Matthias Weidlich , Hongzhi Yin

Control policies, trained using the Deep Reinforcement Learning, have been recently shown to be vulnerable to adversarial attacks introducing even very small perturbations to the policy input. The attacks proposed so far have been designed…

Machine Learning · Computer Science 2019-08-02 Alessio Russo , Alexandre Proutiere

We study robust regression under a contamination model in which covariates are clean while the responses may be corrupted in an adaptive manner. Unlike the classical Huber's contamination model, where both covariates and responses may be…

Statistics Theory · Mathematics 2026-04-07 Ilias Diakonikolas , Chao Gao , Daniel M. Kane , Ankit Pensia , Dong Xie

In this paper, we investigate the adversarial robustness of feature selection based on the $\ell_1$ regularized linear regression model, namely LASSO. In the considered model, there is a malicious adversary who can observe the whole…

Machine Learning · Computer Science 2021-11-03 Fuwei Li , Lifeng Lai , Shuguang Cui

We study multivariate linear regression under Gaussian covariates in two settings, where data may be erased or corrupted by an adversary under a coordinate-wise budget. In the incomplete data setting, an adversary may inspect the dataset…

Data Structures and Algorithms · Computer Science 2025-09-24 Ilias Diakonikolas , Jelena Diakonikolas , Daniel M. Kane , Jasper C. H. Lee , Thanasis Pittas

Adversarial attacks alter NLP model predictions by perturbing test-time inputs. However, it is much less understood whether, and how, predictions can be manipulated with small, concealed changes to the training data. In this work, we…

Computation and Language · Computer Science 2021-04-13 Eric Wallace , Tony Z. Zhao , Shi Feng , Sameer Singh

Data augmentation plays a pivotal role in enhancing and diversifying training data. Nonetheless, consistently improving model performance in varied learning scenarios, especially those with inherent data biases, remains challenging. To…

Machine Learning · Computer Science 2024-06-04 Xiaoling Zhou , Wei Ye , Zhemg Lee , Rui Xie , Shikun Zhang

In this note we propose a new approach towards solving numerically optimal stopping problems via reinforced regression based Monte Carlo algorithms. The main idea of the method is to reinforce standard linear regression algorithms in each…

Numerical Analysis · Mathematics 2019-07-02 Denis Belomestny , John Schoenmakers , Vladimir Spokoiny , Bakhyt Zharkynbay

Machine Learning (ML) algorithms are vulnerable to poisoning attacks, where a fraction of the training data is manipulated to deliberately degrade the algorithms' performance. Optimal poisoning attacks, which can be formulated as bilevel…

Machine Learning · Computer Science 2020-06-23 Javier Carnerero-Cano , Luis Muñoz-González , Phillippa Spencer , Emil C. Lupu

In targeted poisoning attacks, an attacker manipulates an agent-environment interaction to force the agent into adopting a policy of interest, called target policy. Prior work has primarily focused on attacks that modify standard MDP…

Machine Learning · Computer Science 2023-02-28 Mohammad Mohammadi , Jonathan Nöther , Debmalya Mandal , Adish Singla , Goran Radanovic

In this paper we investigate the usage of adversarial perturbations for the purpose of privacy from human perception and model (machine) based detection. We employ adversarial perturbations for obfuscating certain variables in raw data…

In recent years, there has been a growing interest in the effects of data poisoning attacks on data-driven control methods. Poisoning attacks are well-known to the Machine Learning community, which, however, make use of assumptions, such as…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Alessio Russo

High-dimensional measurements are often correlated which motivates their approximation by factor models. This holds also true when features are engineered via low-dimensional interactions or kernel tricks. This often results in over…

Applications · Statistics 2025-09-03 Xiaonan Zhu , Bingyan Wang , Jianqing Fan

Modern machine learning datasets can have biases for certain representations that are leveraged by algorithms to achieve high performance without learning to solve the underlying task. This problem is referred to as "representation bias".…

Computer Vision and Pattern Recognition · Computer Science 2019-04-18 Yi Li , Nuno Vasconcelos