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The best subset selection (or "best subsets") estimator is a classic tool for sparse regression, and developments in mathematical optimization over the past decade have made it more computationally tractable than ever. Notwithstanding its…

Methodology · Statistics 2022-01-11 Ryan Thompson

Structured statistical estimation problems are often solved by Conditional Gradient (CG) type methods to avoid the computationally expensive projection operation. However, the existing CG type methods are not robust to data corruption. To…

Machine Learning · Computer Science 2020-07-08 Jiacheng Zhuo , Liu Liu , Constantine Caramanis

The Bayesian additive regression trees (BART) model is an ensemble method extensively and successfully used in regression tasks due to its consistently strong predictive performance and its ability to quantify uncertainty. BART combines…

Methodology · Statistics 2023-09-18 Mateus Maia , Keefe Murphy , Andrew C. Parnell

Robust training methods typically defend against specific attack types, such as Lp attacks with fixed budgets, and rarely account for the fact that defenders may encounter new attacks over time. A natural solution is to adapt the defended…

Machine Learning · Computer Science 2025-02-07 Sihui Dai , Christian Cianfarani , Arjun Bhagoji , Vikash Sehwag , Prateek Mittal

Compressed sensing is a technique to sample compressible signals below the Nyquist rate, whilst still allowing near optimal reconstruction of the signal. In this paper we present a theoretical analysis of the iterative hard thresholding…

Information Theory · Computer Science 2008-05-06 Thomas Blumensath , Mike E. Davies

Causal inference using observational text data is becoming increasingly popular in many research areas. This paper presents the Bayesian Topic Regression (BTR) model that uses both text and numerical information to model an outcome…

Machine Learning · Statistics 2021-09-14 Maximilian Ahrens , Julian Ashwin , Jan-Peter Calliess , Vu Nguyen

In reliability engineering, data about failure events is often scarce. To arrive at meaningful estimates for the reliability of a system, it is therefore often necessary to also include expert information in the analysis, which is…

Methodology · Statistics 2016-10-25 Gero Walter , Frank P. A. Coolen

Tensor decompositions play a crucial role in numerous applications related to multi-way data analysis. By employing a Bayesian framework with sparsity-inducing priors, Bayesian Tensor Ring (BTR) factorization offers probabilistic estimates…

Machine Learning · Computer Science 2024-12-05 Zerui Tao , Toshihisa Tanaka , Qibin Zhao

This book chapter introduces regression approaches and regression adjustment for Approximate Bayesian Computation (ABC). Regression adjustment adjusts parameter values after rejection sampling in order to account for the imperfect match…

Methodology · Statistics 2017-07-06 Michael GB Blum

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,…

Machine Learning · Computer Science 2020-06-26 Bhaskar Mukhoty , Govind Gopakumar , Prateek Jain , Purushottam Kar

Online controlled experiments have emerged as industry gold standard for assessing new web features. As new web algorithms proliferate, experimentation platform faces an increasing demand on the velocity of online experiments, which…

Machine Learning · Computer Science 2023-09-19 Zezhong Zhang , Ted Yuan

It is well known that machine learning methods can be vulnerable to adversarially-chosen perturbations of their inputs. Despite significant progress in the area, foundational open problems remain. In this paper, we address several key…

Machine Learning · Computer Science 2024-10-30 Edgar Dobriban , Hamed Hassani , David Hong , Alexander Robey

Contextual bandits are a core technology for personalized mobile health interventions, where decision-making requires adapting to complex, non-linear user behaviors. While Thompson Sampling (TS) is a preferred strategy for these problems,…

Machine Learning · Statistics 2026-02-10 Ruizhe Deng , Bibhas Chakraborty , Ran Chen , Yan Shuo Tan

Model Compression has drawn much attention within the deep learning community recently. Compressing a dense neural network offers many advantages including lower computation cost, deployability to devices of limited storage and memories,…

Machine Learning · Computer Science 2024-11-04 Diptarka Saha , Zihe Liu , Feng Liang

In this paper, we take a first step towards answering the question of how to design fair machine learning algorithms that are robust to adversarial attacks. Using a minimax framework, we aim to design an adversarially robust fair regression…

Cryptography and Security · Computer Science 2022-11-09 Yulu Jin , Lifeng Lai

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…

Methodology · Statistics 2022-07-04 Shouto Yonekura , Shonosuke Sugasawa

Robustness to adversarial attacks is typically obtained through expensive adversarial training with Projected Gradient Descent. Here we introduce ROPUST, a remarkably simple and efficient method to leverage robust pre-trained models and…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Alessandro Cappelli , Julien Launay , Laurent Meunier , Ruben Ohana , Iacopo Poli

Recent progress in robust statistical learning has mainly tackled convex problems, like mean estimation or linear regression, with non-convex challenges receiving less attention. Phase retrieval exemplifies such a non-convex problem,…

Machine Learning · Statistics 2024-10-15 Alex Buna , Patrick Rebeschini

We propose a model for recoverable robust optimization with commitment. Given a combinatorial optimization problem and uncertainty about elements that may fail, we ask for a robust solution that, after the failing elements are revealed, can…

Data Structures and Algorithms · Computer Science 2023-06-16 Felix Hommelsheim , Nicole Megow , Komal Muluk , Britta Peis

Research on adversarial robustness is primarily focused on image and text data. Yet, many scenarios in which lack of robustness can result in serious risks, such as fraud detection, medical diagnosis, or recommender systems often do not…

Machine Learning · Computer Science 2023-12-14 Klim Kireev , Maksym Andriushchenko , Carmela Troncoso , Nicolas Flammarion