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In this paper, we propose a unified view of gradient-based algorithms for stochastic convex composite optimization by extending the concept of estimate sequence introduced by Nesterov. More precisely, we interpret a large class of…

Machine Learning · Statistics 2020-09-07 Andrei Kulunchakov , Julien Mairal

Bagging, a powerful ensemble method from machine learning, improves the performance of unstable predictors. Although the power of Bagging has been shown mostly in classification problems, we demonstrate the success of employing Bagging in…

Machine Learning · Statistics 2019-05-03 Luoluo Liu , Sang Peter Chin , Trac D. Tran

A framework previously introduced in [3] for solving a sequence of stochastic optimization problems with bounded changes in the minimizers is extended and applied to machine learning problems such as regression and classification. The…

Machine Learning · Computer Science 2019-04-08 Craig Wilson , Yuheng Bu , Venugopal Veeravalli

It has been proven that transfer learning provides an easy way to achieve state-of-the-art accuracies on several vision tasks by training a simple classifier on top of features obtained from pre-trained neural networks. The goal of this…

Machine Learning · Computer Science 2016-06-07 Milad Mohammadi , Subhasis Das

Ridge regression is a well established regression estimator which can conveniently be adapted for classification problems. One compelling reason is probably the fact that ridge regression emits a closed-form solution thereby facilitating…

Machine Learning · Computer Science 2020-03-26 Jakramate Bootkrajang

We develop Bayesian predictive stacking for geostatistical models, where the primary inferential objective is to provide inference on the latent spatial random field and conduct spatial predictions at arbitrary locations. We exploit…

Methodology · Statistics 2025-09-25 Lu Zhang , Wenpin Tang , Sudipto Banerjee

In this paper, we consider a statistical problem of learning a linear model from noisy samples. Existing work has focused on approximating the least squares solution by using leverage-based scores as an importance sampling distribution.…

Machine Learning · Statistics 2016-02-11 Siheng Chen , Rohan Varma , Aarti Singh , Jelena Kovačević

Automated model selection is often proposed to users to choose which machine learning model (or method) to apply to a given regression task. In this paper, we show that combining different regression models can yield better results than…

Machine Learning · Computer Science 2022-06-24 Patrick Echtenbruck , Martina Echtenbruck , Joost Batenburg , Thomas Bäck , Boris Naujoks , Michael Emmerich

We consider a recursive algorithm to construct an aggregated estimator from a finite number of base decision rules in the classification problem. The estimator approximately minimizes a convex risk functional under the l1-constraint. It is…

Statistics Theory · Mathematics 2007-06-13 Anatoli Juditsky , Alexander Nazin , Alexandre Tsybakov , Nicolas Vayatis

Boosting is a method for learning a single accurate predictor by linearly combining a set of less accurate weak learners. Recently, structured learning has found many applications in computer vision. Inspired by structured support vector…

Machine Learning · Computer Science 2020-03-10 Chunhua Shen , Guosheng Lin , Anton van den Hengel

This paper is about optimal estimation of the additive components of a nonparametric, additive isotone regression model. It is shown that asymptotically up to first order, each additive component can be estimated as well as it could be by a…

Statistics Theory · Mathematics 2007-09-12 Enno Mammen , Kyusang Yu

A general method to combine several estimators of the same quantity is investigated. In the spirit of model and forecast averaging, the final estimator is computed as a weighted average of the initial ones, where the weights are constrained…

Methodology · Statistics 2015-05-26 Frédéric Lavancier , Paul Rochet

The aim of this paper is to present a new estimation procedure that can be applied in many statistical frameworks including density and regression and which leads to both robust and optimal (or nearly optimal) estimators. In density…

Statistics Theory · Mathematics 2017-01-23 Yannick Baraud , Lucien Birgé , Mathieu Sart

For estimating conditional survival functions, non-parametric estimators can be preferred to parametric and semi-parametric estimators due to relaxed assumptions that enable robust estimation. Yet, even when misspecified, parametric and…

Methodology · Statistics 2014-12-23 Andrew Wey , John Connett , Kyle Rudser

We study the statistical properties of the least squares estimator in unimodal sequence estimation. Although closely related to isotonic regression, unimodal regression has not been as extensively studied. We show that the unimodal least…

Statistics Theory · Mathematics 2017-05-10 Sabyasachi Chatterjee , John Lafferty

A robust estimator for a wide family of mixtures of linear regression is presented. Robustness is based on the joint adoption of the Cluster Weighted Model and of an estimator based on trimming and restrictions. The selected model provides…

Methodology · Statistics 2015-02-05 L. A. Garcia-Escudero , A. Gordaliza , F. Greselin , S. Ingrassia , A. Mayo-Iscar

We describe a general framework -- compressive statistical learning -- for resource-efficient large-scale learning: the training collection is compressed in one pass into a low-dimensional sketch (a vector of random empirical generalized…

Machine Learning · Statistics 2021-06-23 Rémi Gribonval , Gilles Blanchard , Nicolas Keriven , Yann Traonmilin

To find efficient screening methods for high dimensional linear regression models, this paper studies the relationship between model fitting and screening performance. Under a sparsity assumption, we show that a subset that includes the…

Methodology · Statistics 2013-03-20 Shifeng Xiong

Gradient boosting from the field of statistical learning is widely known as a powerful framework for estimation and selection of predictor effects in various regression models by adapting concepts from classification theory. Current…

Methodology · Statistics 2020-11-03 Colin Griesbach , Benjamin Säfken , Elisabeth Waldmann

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,…

Machine Learning · Statistics 2025-02-19 Lawrence Stewart , Francis Bach , Quentin Berthet
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