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Many statistical estimators for high-dimensional linear regression are M-estimators, formed through minimizing a data-dependent square loss function plus a regularizer. This work considers a new class of estimators implicitly defined…

Statistics Theory · Mathematics 2022-02-15 Peng Zhao , Yun Yang , Qiao-Chu He

Pre-trained large language models (LLMs) based on Transformer have demonstrated striking in-context learning (ICL) abilities. With a few demonstration input-label pairs, they can predict the label for an unseen input without any parameter…

Machine Learning · Computer Science 2024-10-15 Xinhao Yao , Xiaolin Hu , Shenzhi Yang , Yong Liu

Semi-Supervised Learning (SSL) is implemented when algorithms are trained on both labeled and unlabeled data. This is a very common application of ML as it is unrealistic to obtain a fully labeled dataset. Researchers have tackled three…

Machine Learning · Computer Science 2023-08-16 Jason Lu , Michael Ma , Huaze Xu , Zixi Xu

We present an approach for unsupervised domain adaptation---with a strong focus on practical considerations of within-domain class imbalance and between-domain class distribution shift---from a class-conditioned domain alignment…

Machine Learning · Computer Science 2020-06-11 Xiang Jiang , Qicheng Lao , Stan Matwin , Mohammad Havaei

Supervised learning usually requires a large amount of labelled data. However, attaining ground-truth labels is costly for many tasks. Alternatively, weakly supervised methods learn with cheap weak signals that only approximately label some…

Machine Learning · Computer Science 2024-11-26 You Lu , Wenzhuo Song , Chidubem Arachie , Bert Huang

We propose a deep learning approach to the obstacle problem inspired by the first-order system least-squares (FOSLS) framework. This method reformulates the problem as a convex minimization task; by simultaneously approximating the…

Numerical Analysis · Mathematics 2025-08-28 Gabriel Acosta , Eugenia Belén , Francisco M. Bersetche , Juan Pablo Borthagaray

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

In structured output learning, obtaining labelled data for real-world applications is usually costly, while unlabelled examples are available in abundance. Semi-supervised structured classification has been developed to handle large amounts…

Machine Learning · Computer Science 2013-11-12 P. Balamurugan , Shirish Shevade , Sundararajan Sellamanickam

Annotating datasets is one of the main costs in nowadays supervised learning. The goal of weak supervision is to enable models to learn using only forms of labelling which are cheaper to collect, as partial labelling. This is a type of…

Machine Learning · Computer Science 2021-02-02 Vivien Cabannes , Alessandro Rudi , Francis Bach

We propose a Binary Robust Least Squares (BRLS) model that encompasses key robust least squares formulations, such as those involving uncertain binary labels and adversarial noise constrained within a hypercube. We show that the geometric…

Optimization and Control · Mathematics 2025-10-14 Yang Zhou , Xiaojun Chen

Randomized subspace embedding methods have had a great impact on the solution of a linear least squares (LS) problem by reducing its row dimension, leading to a randomized or sketched LS (sLS) problem, and use the solution of the sLS…

Numerical Analysis · Mathematics 2026-02-12 Zhongxiao Jia , Xinyuan Wan

Matrix factorization learned by implicit alternating least squares (iALS) is a popular baseline in recommender system research publications. iALS is known to be one of the most computationally efficient and scalable collaborative filtering…

Information Retrieval · Computer Science 2021-10-28 Steffen Rendle , Walid Krichene , Li Zhang , Yehuda Koren

We present a non-conforming least squares method for approximating solutions of second order elliptic problems with discontinuous coefficients. The method is based on a general Saddle Point Least Squares (SPLS) method introduced in previous…

Numerical Analysis · Mathematics 2019-04-01 Constantin Bacuta , Jacob Jacavage

Adapting large language models (LLMs) to specific domains often faces a critical bottleneck: the scarcity of high-quality, human-curated data. While large volumes of unchecked data are readily available, indiscriminately using them for…

Computation and Language · Computer Science 2025-09-09 Jian Wu , Hang Yu , Bingchang Liu , Wenjie Yang , Peng Di , Jianguo Li , Yue Zhang

Annotating large-scale LiDAR point clouds for 3D semantic segmentation is costly and time-consuming, which motivates the use of semi-supervised learning (SemiSL). Standard LiDAR SemiSL methods typically adopt a two-step training paradigm,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Bin Yang , Alexandru Paul Condurache

This work aims to tackle the labor-intensive and resource-consuming task of indoor positioning by proposing an efficient approach. The proposed approach involves the introduction of a semi-supervised learning (SSL) with a biased teacher…

Signal Processing · Electrical Eng. & Systems 2024-08-02 Yupeng Li , Xinyu Ning , Shijian Gao , Yitong Liu , Zhi Sun , Qixing Wang , Jiangzhou Wang

Few-shot learning (FSL) aims to recognize new objects with extremely limited training data for each category. Previous efforts are made by either leveraging meta-learning paradigm or novel principles in data augmentation to alleviate this…

Computer Vision and Pattern Recognition · Computer Science 2020-04-06 Yikai Wang , Chengming Xu , Chen Liu , Li Zhang , Yanwei Fu

Semi-weakly supervised semantic segmentation (SWSSS) aims to train a model to identify objects in images based on a small number of images with pixel-level labels, and many more images with only image-level labels. Most existing SWSSS…

Computer Vision and Pattern Recognition · Computer Science 2022-05-04 Wonho Bae , Junhyug Noh , Milad Jalali Asadabadi , Danica J. Sutherland

Semi-supervised learning is a setting in which one has labeled and unlabeled data available. In this survey we explore different types of theoretical results when one uses unlabeled data in classification and regression tasks. Most methods…

Machine Learning · Computer Science 2020-07-31 Alexander Mey , Marco Loog

We introduce fast algorithms for solving $\ell_{p}$ regression problems using the iteratively reweighted least squares (IRLS) method. Our approach achieves state-of-the-art iteration complexity, outperforming the IRLS algorithm by…

Data Structures and Algorithms · Computer Science 2025-10-03 Alina Ene , Ta Duy Nguyen , Adrian Vladu
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