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Extractive question answering (QA) models tend to exploit spurious correlations to make predictions when a training set has unintended biases. This tendency results in models not being generalizable to examples where the correlations do not…

Computation and Language · Computer Science 2022-10-27 Kazutoshi Shinoda , Saku Sugawara , Akiko Aizawa

Fine-tuned language models use greedy decoding to answer reading comprehension questions with relative success. However, this approach does not ensure that the answer is a span in the given passage, nor does it guarantee that it is the most…

Computation and Language · Computer Science 2022-11-09 Or Castel , Ori Ram , Avia Efrat , Omer Levy

Dimensionality reduction on quadratic manifolds augments linear approximations with quadratic correction terms. Previous works rely on linear approximations given by projections onto the first few leading principal components of the…

Numerical Analysis · Mathematics 2024-12-13 Paul Schwerdtner , Benjamin Peherstorfer

This work introduces an empirical quadrature-based hyperreduction procedure and greedy training algorithm to effectively reduce the computational cost of solving convection-dominated problems with limited training. The proposed approach…

Numerical Analysis · Mathematics 2023-09-14 Marzieh Alireza Mirhoseini , Matthew J. Zahr

In this paper we propose a general algorithmic framework for first-order methods in optimization in a broad sense, including minimization problems, saddle-point problems and variational inequalities. This framework allows to obtain many…

We study the fundamental limits of matching pursuit, or the pure greedy algorithm, for approximating a target function $ f $ by a linear combination $f_n$ of $n$ elements from a dictionary. When the target function is contained in the…

Machine Learning · Statistics 2024-07-24 Jason M. Klusowski , Jonathan W. Siegel

Q-learning methods represent a commonly used class of algorithms in reinforcement learning: they are generally efficient and simple, and can be combined readily with function approximators for deep reinforcement learning (RL). However, the…

Machine Learning · Computer Science 2019-02-28 Justin Fu , Aviral Kumar , Matthew Soh , Sergey Levine

In this paper we study the aggregation problem that can be formulated as follows. Assume that we have a family of estimators $\mathcal{F}$ built on the basis of available observations. The goal is to construct a new estimator whose risk is…

Statistics Theory · Mathematics 2009-03-04 Alexander Goldenshluger

This paper investigates a category of constrained fractional optimization problems that emerge in various practical applications. The objective function for this category is characterized by the ratio of a numerator and denominator, both…

Optimization and Control · Mathematics 2026-05-28 Yizun Lin , Jian-Feng Cai , Zhao-Rong Lai , Cheng Li

In query learning, the goal is to identify an unknown object while minimizing the number of "yes" or "no" questions (queries) posed about that object. A well-studied algorithm for query learning is known as generalized binary search (GBS).…

Machine Learning · Statistics 2010-02-23 Gowtham Bellala , Suresh Bhavnani , Clayton Scott

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

We consider the problem of finding sparse solutions to a system of underdetermined nonlinear system of equations. The methods are based on a Gauss-Newton approach with line search where the search direction is found by solving a linearized…

Numerical Analysis · Mathematics 2016-10-12 Mårten Gulliksson , Anna Oleynik

The Centralized Training with Decentralized Execution (CTDE) paradigm is widely used in cooperative multi-agent reinforcement learning. However, conventional methods based on CTDE can suffer from value underestimation and converge to…

Multiagent Systems · Computer Science 2026-05-05 Ruoning Zhang , Siying Wang , Wenyu Chen , Yang Zhou , Zhitong Zhao , Zixuan Zhang , Ruijie Zhang , Stefano V. Albrecht

In high-dimensional linear regression, the goal pursued here is to estimate an unknown regression function using linear combinations of a suitable set of covariates. One of the key assumptions for the success of any statistical procedure in…

Statistics Theory · Mathematics 2015-03-13 Philippe Rigollet , Alexandre Tsybakov

Sample complexity bounds are a common performance metric in the Reinforcement Learning literature. In the discounted cost, infinite horizon setting, all of the known bounds have a factor that is a polynomial in $1/(1-\gamma)$, where $\gamma…

Machine Learning · Computer Science 2020-07-09 Adithya M. Devraj , Sean P. Meyn

Partial differential equation parameter estimation is a mathematical and computational process used to estimate the unknown parameters in a partial differential equation model from observational data. This paper employs a greedy sampling…

Dynamical Systems · Mathematics 2024-05-15 Ali Forootani , Harshit Kapadia , Sridhar Chellappa , Pawan Goyal , Peter Benner

This paper presents and investigates an inexact proximal gradient method for solving composite convex optimization problems characterized by an objective function composed of a sum of a full-domain differentiable convex function and a…

Optimization and Control · Mathematics 2025-04-16 Yunier Bello-Cruz , Max L. N. Gonçalves , Jefferson G. Melo , Cassandra Mohr

We propose Q-learning with Adjoint Matching (QAM), a novel TD-based reinforcement learning (RL) algorithm that tackles a long-standing challenge in continuous-action RL: efficient optimization of an expressive diffusion or flow-matching…

Machine Learning · Computer Science 2026-05-20 Qiyang Li , Sergey Levine

Probabilistic graphical models (PGMs) provide a compact representation of knowledge that can be queried in a flexible way: after learning the parameters of a graphical model once, new probabilistic queries can be answered at test time…

The problem of column subset selection has recently attracted a large body of research, with feature selection serving as one obvious and important application. Among the techniques that have been applied to solve this problem, the greedy…

Data Structures and Algorithms · Computer Science 2021-11-16 Jason Altschuler , Aditya Bhaskara , Gang Fu , Vahab Mirrokni , Afshin Rostamizadeh , Morteza Zadimoghaddam
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