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Least squares (LS)-based subset selection methods are popular in linear regression modeling. Best subset selection (BS) is known to be NP-hard and has a computational cost that grows exponentially with the number of predictors. Recently,…

Methodology · Statistics 2021-03-09 Sen Tian , Clifford M. Hurvich , Jeffrey S. Simonoff

Frequently, a set of objects has to be evaluated by a panel of assessors, but not every object is assessed by every assessor. A problem facing such panels is how to take into account different standards amongst panel members and varying…

Methodology · Statistics 2017-02-16 Robert S. MacKay , Ralph Kenna , Robert J. Low , Sarah Parker

This paper studies the problem of finding the exact ranking from noisy comparisons. A comparison over a set of $m$ items produces a noisy outcome about the most preferred item, and reveals some information about the ranking. By repeatedly…

Machine Learning · Computer Science 2021-07-30 Wenbo Ren , Jia Liu , Ness B. Shroff

Summarization models often generate text that is poorly calibrated to quality metrics because they are trained to maximize the likelihood of a single reference (MLE). To address this, recent work has added a calibration step, which exposes…

We consider peer review in a conference setting where there is typically an overlap between the set of reviewers and the set of authors. This overlap can incentivize strategic reviews to influence the final ranking of one's own papers. In…

Computer Science and Game Theory · Computer Science 2020-02-04 Yichong Xu , Han Zhao , Xiaofei Shi , Jeremy Zhang , Nihar B. Shah

This work provides simple algorithms for multi-class (and multi-label) prediction in settings where both the number of examples n and the data dimension d are relatively large. These robust and parameter free algorithms are essentially…

Machine Learning · Computer Science 2013-10-22 Alekh Agarwal , Sham M. Kakade , Nikos Karampatziakis , Le Song , Gregory Valiant

We consider factoring low-rank tensors in the presence of outlying slabs. This problem is important in practice, because data collected in many real-world applications, such as speech, fluorescence, and some social network data, fit this…

Machine Learning · Statistics 2023-07-19 Xiao Fu , Kejun Huang , Wing-Kin Ma , Nicholas D. Sidiropoulos , Rasmus Bro

Large Language Models (LLMs) have demonstrated remarkable proficiency in language comprehension and generation; however, their widespread adoption is constrained by substantial bandwidth and computational demands. While pruning and low-rank…

Computation and Language · Computer Science 2025-10-31 Zeliang Zong , Kai Zhang , Zheyang Li , Wenming Tan , Ye Ren , Yiyan Zhai , Jilin Hu

Sparse representation-based classification (SRC), proposed by Wright et al., seeks the sparsest decomposition of a test sample over the dictionary of training samples, with classification to the most-contributing class. Because it assumes…

Computer Vision and Pattern Recognition · Computer Science 2018-06-05 Chelsea Weaver , Naoki Saito

This paper proposes a method for solving multivariate regression and classification problems using piecewise linear predictors over a polyhedral partition of the feature space. The resulting algorithm that we call PARC (Piecewise Affine…

Machine Learning · Computer Science 2021-03-11 Alberto Bemporad

In the peer review process of top-tier machine learning (ML) and artificial intelligence (AI) conferences, reviewers are assigned to papers through automated methods. These assignment algorithms consider two main factors: (1) reviewers'…

Machine Learning · Computer Science 2025-08-18 Jhih-Yi Hsieh , Aditi Raghunathan , Nihar B. Shah

Motivated by the need for efficient estimation of conditional expectations, we consider a least-squares function approximation problem with heavily polluted data. Existing methods that are effective in the small-noise regime are suboptimal…

Machine Learning · Statistics 2026-05-26 Ben Adcock , Bernhard Hientzsch , Akil Narayan , Yiming Xu

This paper argues that the method of least squares has significant unfulfilled potential in modern machine learning, far beyond merely being a tool for fitting linear models. To release its potential, we derive custom gradients that…

Machine Learning · Computer Science 2025-10-23 Hrittik Roy , Søren Hauberg , Nicholas Krämer

The advent of pre-trained language models (PLMs) has enabled significant performance gains in the field of natural language processing. However, recent studies have found PLMs to suffer from miscalibration, indicating a lack of accuracy in…

Computation and Language · Computer Science 2024-12-23 Geetanjali Bihani , Julia Rayz

Probabilistic predictions can be evaluated through comparisons with observed label frequencies, that is, through the lens of calibration. Recent scholarship on algorithmic fairness has started to look at a growing variety of…

Machine Learning · Computer Science 2023-05-16 Benedikt Höltgen , Robert C Williamson

Solving linear regression problems based on the total least-squares (TLS) criterion has well-documented merits in various applications, where perturbations appear both in the data vector as well as in the regression matrix. However,…

Information Theory · Computer Science 2011-04-20 Hao Zhu , Geert Leus , Georgios B. Giannakis

Rotary Position Embedding (RoPE) is an efficient position encoding approach and is widely utilized in numerous large language models (LLMs). Recently, a lot of methods have been put forward to further expand the context window based on…

Computation and Language · Computer Science 2025-05-20 Wenqiao Zhu , Chao Xu , Lulu Wang , Jun Wu

A number of optimal decision problems with uncertainty can be formulated into a stochastic optimal control framework. The Least-Squares Monte Carlo (LSMC) algorithm is a popular numerical method to approach solutions of such stochastic…

Computational Finance · Quantitative Finance 2019-01-23 Zhiyi Shen , Chengguo Weng

We study methods for aggregating pairwise comparison data in order to estimate outcome probabilities for future comparisons among a collection of n items. Working within a flexible framework that imposes only a form of strong stochastic…

Machine Learning · Computer Science 2016-03-23 Nihar B. Shah , Sivaraman Balakrishnan , Martin J. Wainwright

Sparse coding is an unsupervised learning algorithm that learns a succinct high-level representation of the inputs given only unlabeled data; it represents each input as a sparse linear combination of a set of basis functions. Originally…

Machine Learning · Computer Science 2012-06-26 Roger Grosse , Rajat Raina , Helen Kwong , Andrew Y. Ng