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Regression, the task of predicting a continuous scalar target y based on some features x is one of the most fundamental tasks in machine learning and statistics. It has been observed and theoretically analyzed that the classical approach,…

机器学习 · 统计学 2025-02-19 Lawrence Stewart , Francis Bach , Quentin Berthet

We present an efficient second-order algorithm with $\tilde{O}(\frac{1}{\eta}\sqrt{T})$ regret for the bandit online multiclass problem. The regret bound holds simultaneously with respect to a family of loss functions parameterized by…

机器学习 · 计算机科学 2018-01-19 Alina Beygelzimer , Francesco Orabona , Chicheng Zhang

Fully robust versions of the elastic net estimator are introduced for linear and logistic regression. The algorithms to compute the estimators are based on the idea of repeatedly applying the non-robust classical estimators to data subsets…

统计方法学 · 统计学 2017-03-16 Fatma Sevinc Kurnaz , Irene Hoffmann , Peter Filzmoser

Existing online multi-label classification works cannot well handle the online label thresholding problem and lack the regret analysis for their online algorithms. This paper proposes a novel framework of adaptive label thresholding…

机器学习 · 计算机科学 2022-11-15 Tingting Zhai , Hongcheng Tang , Hao Wang

Logistic regression is a widely used statistical model to describe the relationship between a binary response variable and predictor variables in data sets. It is often used in machine learning to identify important predictor variables.…

最优化与控制 · 数学 2021-12-30 Jérôme Darbon , Gabriel P. Langlois

We present an efficient distributed online learning scheme to classify data captured from distributed, heterogeneous, and dynamic data sources. Our scheme consists of multiple distributed local learners, that analyze different streams of…

机器学习 · 计算机科学 2013-08-27 Luca Canzian , Yu Zhang , Mihaela van der Schaar

Given the rapid rise in energy demand by data centers and computing systems in general, it is fundamental to incorporate energy considerations when designing (scheduling) algorithms. Machine learning can be a useful approach in practice by…

数据结构与算法 · 计算机科学 2021-12-07 Antonios Antoniadis , Peyman Jabbarzade Ganje , Golnoosh Shahkarami

Follow-the-Regularized-Leader (FTRL) algorithms are a popular class of learning algorithms for online linear optimization (OLO) that guarantee sub-linear regret, but the choice of regularizer can significantly impact dimension-dependent…

机器学习 · 计算机科学 2024-10-24 Khashayar Gatmiry , Jon Schneider , Stefanie Jegelka

Generalized Linear Bandits (GLBs), a natural extension of the stochastic linear bandits, has been popular and successful in recent years. However, existing GLBs scale poorly with the number of rounds and the number of arms, limiting their…

机器学习 · 统计学 2017-10-24 Kwang-Sung Jun , Aniruddha Bhargava , Robert Nowak , Rebecca Willett

Boosting is a popular algorithm in supervised machine learning with wide applications in regression and classification problems. It combines weak learners, such as regression trees, to obtain accurate predictions. However, in the presence…

统计计算 · 统计学 2025-02-06 Zhu Wang

Out of the rich family of generalized linear bandits, perhaps the most well studied ones are logisitc bandits that are used in problems with binary rewards: for instance, when the learner/agent tries to maximize the profit over a user that…

机器学习 · 计算机科学 2021-03-23 Sanae Amani , Christos Thrampoulidis

In many online learning problems the computational bottleneck for gradient-based methods is the projection operation. For this reason, in many problems the most efficient algorithms are based on the Frank-Wolfe method, which replaces…

机器学习 · 计算机科学 2020-02-17 Elad Hazan , Edgar Minasyan

In this paper we analyze boosting algorithms in linear regression from a new perspective: that of modern first-order methods in convex optimization. We show that classic boosting algorithms in linear regression, namely the incremental…

统计理论 · 数学 2015-05-19 Robert M. Freund , Paul Grigas , Rahul Mazumder

Computationally efficient contextual bandits are often based on estimating a predictive model of rewards given contexts and arms using past data. However, when the reward model is not well-specified, the bandit algorithm may incur…

机器学习 · 计算机科学 2021-06-14 Sanath Kumar Krishnamurthy , Vitor Hadad , Susan Athey

Boosting combines weak classifiers to form highly accurate predictors. Although the case of binary classification is well understood, in the multiclass setting, the "correct" requirements on the weak classifier, or the notion of the most…

机器学习 · 统计学 2011-08-16 Indraneel Mukherjee , Robert E. Schapire

Multi-task learning has shown to significantly enhance the performance of multiple related learning tasks in a variety of situations. We present the fused logistic regression, a sparse multi-task learning approach for binary classification.…

机器学习 · 统计学 2013-12-31 Venelin Mitov , Manfred Claassen

Multi-Task Learning (MTL) can enhance a classifier's generalization performance by learning multiple related tasks simultaneously. Conventional MTL works under the offline or batch setting, and suffers from expensive training cost and poor…

机器学习 · 计算机科学 2017-06-28 Peng Yang , Peilin Zhao , Xin Gao

We propose a novel boosting approach to multi-class classification problems, in which multiple classes are distinguished by a set of random projection matrices in essence. The approach uses random projections to alleviate the proliferation…

机器学习 · 计算机科学 2013-02-06 Sakrapee Paisitkriangkrai , Chunhua Shen , Qinfeng Shi , Anton van den Hengel

The computational bottleneck in applying online learning to massive data sets is usually the projection step. We present efficient online learning algorithms that eschew projections in favor of much more efficient linear optimization steps…

机器学习 · 计算机科学 2012-06-22 Elad Hazan , Satyen Kale

Stochastic optimization is a widely used approach for optimization under uncertainty, where uncertain input parameters are modeled by random variables. Exact or approximation algorithms have been obtained for several fundamental problems in…

机器学习 · 计算机科学 2025-08-14 Arpit Agarwal , Rohan Ghuge , Viswanath Nagarajan , Zhengjia Zhuo