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The diverse world of machine learning applications has given rise to a plethora of algorithms and optimization methods, finely tuned to the specific regression or classification task at hand. We reduce the complexity of algorithm design for…

Optimization and Control · Mathematics 2016-05-23 Zeyuan Allen-Zhu , Elad Hazan

In this paper for the first time the nonparametric autoregression estimation problem for the quadratic risks is considered. To this end we develop a new adaptive sequential model selection method based on the efficient sequential kernel…

Statistics Theory · Mathematics 2018-09-10 Ouerdia Arkoun , Jean-Yves Brua , Serguei Pergamenshchikov

We propose an estimation procedure for linear functionals based on Gaussian model selection techniques. We show that the procedure is adaptive, and we give a non asymptotic oracle inequality for the risk of the selected estimator with…

Statistics Theory · Mathematics 2008-10-27 Béatrice Laurent , Carenne Ludeña , Clémentine Prieur

We consider a recently introduced framework in which fairness is measured by worst-case outcomes across groups, rather than by the more standard differences between group outcomes. In this framework we provide provably convergent…

Machine Learning · Computer Science 2021-03-09 Emily Diana , Wesley Gill , Michael Kearns , Krishnaram Kenthapadi , Aaron Roth

Modern applications require methods that are computationally feasible on large datasets but also preserve statistical efficiency. Frequently, these two concerns are seen as contradictory: approximation methods that enable computation are…

Methodology · Statistics 2021-06-11 Darren Homrighausen , Daniel J. McDonald

Sparse reduced rank regression is an essential statistical learning method. In the contemporary literature, estimation is typically formulated as a nonconvex optimization that often yields to a local optimum in numerical computation. Yet,…

Methodology · Statistics 2022-12-06 Canhong Wen , Ruipeng Dong , Xueqin Wang , Weiyu Li , Heping Zhang

In the presence of a missing response, reweighting the complete case subsample by the inverse of nonmissing probability is both intuitive and easy to implement. When the population totals of some auxiliary variables are known and when the…

Methodology · Statistics 2014-10-16 Kwun Chuen Gary Chan , Sheung Chi Phillip Yam

A typical oracle problem is finding which software program is installed on a computer, by running the computer and testing its input-output behaviour. The program is randomly chosen from a set of programs known to the problem solver. As…

Quantum Physics · Physics 2007-05-23 Giuseppe Castagnoli

This paper studies first-order algorithms for solving fully composite optimization problems over convex and compact sets. We leverage the structure of the objective by handling its differentiable and non-differentiable components…

Optimization and Control · Mathematics 2023-07-13 Maria-Luiza Vladarean , Nikita Doikov , Martin Jaggi , Nicolas Flammarion

A recent line of work has shown a surprising connection between multicalibration, a multi-group fairness notion, and omniprediction, a learning paradigm that provides simultaneous loss minimization guarantees for a large family of loss…

Machine Learning · Computer Science 2023-07-19 Sumegha Garg , Christopher Jung , Omer Reingold , Aaron Roth

Consider an oracle which takes a point $x$ and returns the minimizer of a convex function $f$ in an $\ell_2$ ball of radius $r$ around $x$. It is straightforward to show that roughly $r^{-1}\log\frac{1}{\epsilon}$ calls to the oracle…

Optimization and Control · Mathematics 2020-03-19 Yair Carmon , Arun Jambulapati , Qijia Jiang , Yujia Jin , Yin Tat Lee , Aaron Sidford , Kevin Tian

Model explainability is crucial for human users to be able to interpret how a proposed classifier assigns labels to data based on its feature values. We study generalized linear models constructed using sets of feature value rules, which…

Machine Learning · Statistics 2023-11-06 Sanjeeb Dash , Soumyadip Ghosh , Joao Goncalves , Mark S. Squillante

We consider a statistical version of curriculum learning (CL) in a parametric prediction setting. The learner is required to estimate a target parameter vector, and can adaptively collect samples from either the target model, or other…

Machine Learning · Computer Science 2024-02-22 Omer Cohen , Ron Meir , Nir Weinberger

As predictive models -- e.g., from machine learning -- give likely outcomes, they may be used to reason on the effect of an intervention, a causal-inference task. The increasing complexity of health data has opened the door to a plethora of…

Machine Learning · Statistics 2023-05-17 Matthieu Doutreligne , Gaël Varoquaux

We develop and analyze algorithms for instrumental variable regression by viewing the problem as a conditional stochastic optimization problem. In the context of least-squares instrumental variable regression, our algorithms neither require…

Machine Learning · Statistics 2024-05-31 Xuxing Chen , Abhishek Roy , Yifan Hu , Krishnakumar Balasubramanian

When model uncertainty is handled by Bayesian model averaging (BMA) or Bayesian model selection (BMS), the posterior distribution possesses a desirable "oracle property" for parametric inference, if for large enough data it is nearly as…

Statistics Theory · Mathematics 2018-02-05 Wenxin Jiang , Cheng Li

We present an online parallel portfolio selection algorithm based on the island model commonly used for parallelization of evolutionary algorithms. In our case each of the islands runs a different optimization algorithm. The distributed…

Neural and Evolutionary Computing · Computer Science 2018-06-13 Štěpán Balcar , Martin Pilát

Ordinal regression is aimed at predicting an ordinal class label. In this paper, we consider its semi-supervised formulation, in which we have unlabeled data along with ordinal-labeled data to train an ordinal regressor. There are several…

Machine Learning · Computer Science 2021-06-11 Taira Tsuchiya , Nontawat Charoenphakdee , Issei Sato , Masashi Sugiyama

Incomplete pairwise comparison matrices offer a natural way of expressing preferences in decision making processes. Although ordinal information is crucial, there is a bias in the literature: cardinal models dominate. Ordinal models usually…

Optimization and Control · Mathematics 2020-12-15 Luca Faramondi , Gabriele Oliva , Sándor Bozóki

Smoothed online learning has emerged as a popular framework to mitigate the substantial loss in statistical and computational complexity that arises when one moves from classical to adversarial learning. Unfortunately, for some spaces, it…

Machine Learning · Statistics 2024-03-20 Adam Block , Alexander Rakhlin , Max Simchowitz