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Online Convex Optimization plays a key role in large scale machine learning. Early approaches to this problem were conservative, in which the main focus was protection against the worst case scenario. But recently several algorithms have…

Machine Learning · Computer Science 2016-09-09 Parameswaran Kamalaruban

Uncertainty quantification is crucial in safety-critical systems, where decisions must be made under uncertainty. In particular, we consider the problem of online uncertainty quantification, where data points arrive sequentially. Online…

Machine Learning · Computer Science 2026-04-21 Junyoung Yang , Kyungmin Kim , Sangdon Park

We give the first polynomial-time algorithm for performing linear or polynomial regression resilient to adversarial corruptions in both examples and labels. Given a sufficiently large (polynomial-size) training set drawn i.i.d. from…

Machine Learning · Computer Science 2020-06-05 Adam Klivans , Pravesh K. Kothari , Raghu Meka

We study the problem of online generalized linear regression in the stochastic setting, where the label is generated from a generalized linear model with possibly unbounded additive noise. We provide a sharp analysis of the classical…

Machine Learning · Computer Science 2023-03-28 Heyang Zhao , Dongruo Zhou , Jiafan He , Quanquan Gu

We investigate the sparse linear contextual bandit problem where the parameter $\theta$ is sparse. To relieve the sampling inefficiency, we utilize the "perturbed adversary" where the context is generated adversarilly but with small random…

Machine Learning · Computer Science 2020-07-20 Zhiyuan Liu , Huazheng Wang , Bo Waggoner , Youjian , Liu , Lijun Chen

We investigate fast methods that allow to quickly eliminate variables (features) in supervised learning problems involving a convex loss function and a $l_1$-norm penalty, leading to a potentially substantial reduction in the number of…

Machine Learning · Computer Science 2010-10-28 Laurent El Ghaoui , Vivian Viallon , Tarek Rabbani

Understanding efficiency in high dimensional linear models is a longstanding problem of interest. Classical work with smaller dimensional problems dating back to Huber and Bickel has illustrated the benefits of efficient loss functions.…

Statistics Theory · Mathematics 2017-08-16 Jelena Bradic

This paper investigates the computational complexity of sparse label propagation which has been proposed recently for processing network structured data. Sparse label propagation amounts to a convex optimization problem and might be…

Machine Learning · Statistics 2018-05-30 Alexander Jung

It has been a recent trend to leverage the power of supervised learning (SL) towards more effective reinforcement learning (RL) methods. We propose a novel phasic approach by alternating online RL and offline SL for tackling sparse-reward…

Machine Learning · Computer Science 2022-06-27 Yunfei Li , Tian Gao , Jiaqi Yang , Huazhe Xu , Yi Wu

This paper studies the adversarial-robustness of importance-sampling (aka sensitivity sampling); a useful algorithmic technique that samples elements with probabilities proportional to some measure of their importance. A streaming or online…

Data Structures and Algorithms · Computer Science 2025-12-11 Yotam Kenneth-Mordoch , Shay Sapir

We revisit the problem of \textit{online linear optimization} in case the set of feasible actions is accessible through an approximated linear optimization oracle with a factor $\alpha$ multiplicative approximation guarantee. This setting…

Machine Learning · Computer Science 2017-09-12 Dan Garber

Sparse linear regression -- finding an unknown vector from linear measurements -- is now known to be possible with fewer samples than variables, via methods like the LASSO. We consider the multiple sparse linear regression problem, where…

Machine Learning · Computer Science 2012-02-28 Ali Jalali , Pradeep Ravikumar , Sujay Sanghavi

This paper focuses on detection tasks in information extraction, where positive instances are sparsely distributed and models are usually evaluated using F-measure on positive classes. These characteristics often result in deficient…

Computation and Language · Computer Science 2018-05-29 Hongyu Lin , Yaojie Lu , Xianpei Han , Le Sun

Large scale deep learning provides a tremendous opportunity to improve the quality of content recommendation systems by employing both wider and deeper models, but this comes at great infrastructural cost and carbon footprint in modern data…

Machine Learning · Computer Science 2020-10-22 Mao Ye , Dhruv Choudhary , Jiecao Yu , Ellie Wen , Zeliang Chen , Jiyan Yang , Jongsoo Park , Qiang Liu , Arun Kejariwal

Hybrid Reinforcement Learning (RL), where an agent learns from both an offline dataset and online explorations in an unknown environment, has garnered significant recent interest. A crucial question posed by Xie et al. (2022) is whether…

Machine Learning · Statistics 2024-08-09 Kevin Tan , Wei Fan , Yuting Wei

Algorithm designers typically assume that the input data is correct, and then proceed to find "optimal" or "sub-optimal" solutions using this input data. However this assumption of correct data does not always hold in practice, especially…

Machine Learning · Computer Science 2015-10-13 Hal Daumé , Samir Khuller , Manish Purohit , Gregory Sanders

Sparse linear discriminant analysis via penalized optimal scoring is a successful tool for classification in high-dimensional settings. While the variable selection consistency of sparse optimal scoring has been established, the…

Statistics Theory · Mathematics 2021-04-01 Irina Gaynanova

Sparse linear regression is a vast field and there are many different algorithms available to build models. Two new papers published in Statistical Science study the comparative performance of several sparse regression methodologies,…

Machine Learning · Computer Science 2021-02-10 Owais Sarwar , Benjamin Sauk , Nikolaos V. Sahinidis

In this paper, we introduce the concept of sparse bilinear logistic regression for decision problems involving explanatory variables that are two-dimensional matrices. Such problems are common in computer vision, brain-computer interfaces,…

Optimization and Control · Mathematics 2014-04-17 Jianing V. Shi , Yangyang Xu , Richard G. Baraniuk

In statistical machine learning, kernel methods allow to consider infinite dimensional feature spaces with a computational cost that only depends on the number of observations. This is usually done by solving an optimization problem…

Optimization and Control · Mathematics 2019-01-17 Guillaume Garrigos , Lorenzo Rosasco , Silvia Villa