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Imitation learning algorithms learn a policy from demonstrations of expert behavior. We show that, for deterministic experts, imitation learning can be done by reduction to reinforcement learning with a stationary reward. Our theoretical…

Machine Learning · Statistics 2022-03-16 Kamil Ciosek

We investigate the problem of minimizing the excess generalization error with respect to the best expert prediction in a finite family in the stochastic setting, under limited access to information. We assume that the learner only has…

Statistics Theory · Mathematics 2021-10-28 El Mehdi Saad , Gilles Blanchard

We propose an optimal estimating equation for logistic regression with linked data while accounting for false positives. It builds on a previous solution but estimates the regression coefficients with a smaller variance, in large samples.

Methodology · Statistics 2017-08-16 Jenkin Tsui , Abel Dasylva , Kenneth Chu

We examine gradient descent on unregularized logistic regression problems, with homogeneous linear predictors on linearly separable datasets. We show the predictor converges to the direction of the max-margin (hard margin SVM) solution. The…

Machine Learning · Statistics 2024-10-29 Daniel Soudry , Elad Hoffer , Mor Shpigel Nacson , Suriya Gunasekar , Nathan Srebro

Consider a regression model with fixed design and Gaussian noise where the regression function can potentially be well approximated by a function that admits a sparse representation in a given dictionary. This paper resorts to exponential…

Statistics Theory · Mathematics 2013-01-08 Philippe Rigollet , Alexandre B. Tsybakov

One of the goals of learning algorithms is to complement and reduce the burden on human decision makers. The expert deferral setting wherein an algorithm can either predict on its own or defer the decision to a downstream expert helps…

Machine Learning · Computer Science 2022-07-21 Mohammad-Amin Charusaie , Hussein Mozannar , David Sontag , Samira Samadi

We consider the problem of binary prediction with expert advice in settings where experts have agency and seek to maximize their credibility. This paper makes three main contributions. First, it defines a model to reason formally about…

Computer Science and Game Theory · Computer Science 2021-03-16 Tim Roughgarden , Okke Schrijvers

The paper presents numerical experiments and some theoretical developments in prediction with expert advice (PEA). One experiment deals with predicting electricity consumption depending on temperature and uses real data. As the pattern of…

Artificial Intelligence · Computer Science 2021-09-30 Vladimir V'yugin , Vladimir Trunov

We propose a new approach to mixed-frequency regressions in a high-dimensional environment that resorts to Group Lasso penalization and Bayesian techniques for estimation and inference. In particular, to improve the prediction properties of…

Econometrics · Economics 2020-06-12 Matteo Mogliani , Anna Simoni

Neural networks are powerful tools for classification and regression in static environments. This paper describes a technique for creating an ensemble of neural networks that adapts dynamically to changing conditions. The model separates…

Artificial Intelligence · Computer Science 2008-12-16 Baruch Lubinsky , Bekir Genc , Tshilidzi Marwala

We develop a novel Empirical Bayes methodology for prediction under check loss in high-dimensional Gaussian models. The check loss is a piecewise linear loss function having differential weights for measuring the amount of underestimation…

Statistics Theory · Mathematics 2016-06-24 Gourab Mukherjee , Lawrence D. Brown , Paat Rusmevichientong

We address the problem of aggregating an ensemble of predictors with known loss bounds in a semi-supervised binary classification setting, to minimize prediction loss incurred on the unlabeled data. We find the minimax optimal predictions…

Machine Learning · Computer Science 2016-11-08 Akshay Balsubramani , Yoav Freund

Convergence of Extremum Seeking (ES) algorithms has been established in the limit of small gains. Using averaging theory and contraction analysis, we propose a framework for computing explicit bounds on the departure of the ES scheme from…

Optimization and Control · Mathematics 2013-03-20 Gabriel Bousquet , Jean-Jacques Slotine

A mixture of experts models the conditional density of a response variable using a mixture of regression models with covariate-dependent mixture weights. We extend the finite mixture of experts model by allowing the parameters in both the…

Computation · Statistics 2022-10-14 Parfait Munezero , Mattias Villani , Robert Kohn

Learning robotic tasks in the real world is still highly challenging and effective practical solutions remain to be found. Traditional methods used in this area are imitation learning and reinforcement learning, but they both have…

Machine Learning · Computer Science 2022-08-02 Abdalkarim Mohtasib , Gerhard Neumann , Heriberto Cuayahuitl

The research area of algorithms with predictions has seen recent success showing how to incorporate machine learning into algorithm design to improve performance when the predictions are correct, while retaining worst-case guarantees when…

Machine Learning · Computer Science 2022-12-06 Michael Dinitz , Sungjin Im , Thomas Lavastida , Benjamin Moseley , Sergei Vassilvitskii

The predict+optimize problem combines machine learning ofproblem coefficients with a combinatorial optimization prob-lem that uses the predicted coefficients. While this problemcan be solved in two separate stages, it is better to…

Machine Learning · Computer Science 2020-12-07 Ali Ugur Guler , Emir Demirovic , Jeffrey Chan , James Bailey , Christopher Leckie , Peter J. Stuckey

Weighting strategy prevails in machine learning. For example, a common approach in robust machine learning is to exert lower weights on samples which are likely to be noisy or quite hard. This study reveals another undiscovered strategy,…

Machine Learning · Computer Science 2022-01-05 Rujing Yao , Ou Wu

The most relevant problems in discounted reinforcement learning involve estimating the mean of a function under the stationary distribution of a Markov reward process, such as the expected return in policy evaluation, or the policy gradient…

Machine Learning · Computer Science 2023-04-17 Alberto Maria Metelli , Mirco Mutti , Marcello Restelli

Ensemble techniques are powerful approaches that combine several weak learners to build a stronger one. As a meta learning framework, ensemble techniques can easily be applied to many machine learning techniques. In this paper we propose a…

Computation and Language · Computer Science 2017-11-15 Hamideh Hajiabadi , Diego Molla-Aliod , Reza Monsefi