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One of the most common machine learning setups is logistic regression. In many classification models, including neural networks, the final prediction is obtained by applying a logistic link function to a linear score. In binary logistic…

Machine Learning · Statistics 2026-03-24 Avrajit Ghosh , Bin Yu , Manfred Warmuth , Peter Bartlett

One-class classification has been a prevailing method in building deep anomaly detection models under the assumption that a dataset consisting of normal samples is available. In practice, however, abnormal samples are often mixed in a…

Machine Learning · Computer Science 2023-02-14 Minkyung Kim , Junsik Kim , Jongmin Yu , Jun Kyun Choi

Learning from a few examples remains a key challenge in machine learning. Despite recent advances in important domains such as vision and language, the standard supervised deep learning paradigm does not offer a satisfactory solution for…

Machine Learning · Computer Science 2018-01-01 Oriol Vinyals , Charles Blundell , Timothy Lillicrap , Koray Kavukcuoglu , Daan Wierstra

Low rank tensor learning, such as tensor completion and multilinear multitask learning, has received much attention in recent years. In this paper, we propose higher order matching pursuit for low rank tensor learning problems with a convex…

Machine Learning · Statistics 2015-03-10 Yuning Yang , Siamak Mehrkanoon , Johan A. K. Suykens

This letter proposes a dictionary learning algorithm for blind one bit compressed sensing. In the blind one bit compressed sensing framework, the original signal to be reconstructed from one bit linear random measurements is sparse in an…

Machine Learning · Statistics 2016-01-20 Hadi Zayyani , Mehdi Korki , Farrokh Marvasti

We study the problem of recovery of matrices that are simultaneously low rank and row and/or column sparse. Such matrices appear in recent applications in cognitive neuroscience, imaging, computer vision, macroeconomics, and genetics. We…

Machine Learning · Statistics 2019-04-11 Ming Yu , Varun Gupta , Mladen Kolar

The primary challenge of multi-label active learning, differing it from multi-class active learning, lies in assessing the informativeness of an indefinite number of labels while also accounting for the inherited label correlation. Existing…

Machine Learning · Computer Science 2025-09-05 Yuanyuan Qi , Jueqing Lu , Xiaohao Yang , Joanne Enticott , Lan Du

Recent research shows that in-context learning (ICL) can be effective even when demonstrations have missing or incorrect labels. To shed light on this capability, we examine a canonical setting where the demonstrations are drawn according…

Machine Learning · Computer Science 2026-01-27 Yingcong Li , Xiangyu Chang , Muti Kara , Xiaofeng Liu , Amit Roy-Chowdhury , Samet Oymak

We show that a special class of (nonconvex) NMPC problems admits an exact solution by reformulating them as a finite number of convex subproblems, extending previous results to the multi-input case. Our approach is applicable to a special…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Manuel Klädtke , Moritz Schulze Darup

In this paper we generalize the 1-bit matrix completion problem to higher order tensors. We prove that when $r=O(1)$ a bounded rank-$r$, order-$d$ tensor $T$ in $\mathbb{R}^{N} \times \mathbb{R}^{N} \times \cdots \times \mathbb{R}^{N}$ can…

Statistics Theory · Mathematics 2018-12-05 Navid Ghadermarzy , Yaniv Plan , Ozgur Yilmaz

We propose a new method for robust PCA -- the task of recovering a low-rank matrix from sparse corruptions that are of unknown value and support. Our method involves alternating between projecting appropriate residuals onto the set of…

Information Theory · Computer Science 2014-10-29 Praneeth Netrapalli , U N Niranjan , Sujay Sanghavi , Animashree Anandkumar , Prateek Jain

Bilevel optimization has gained significant attention in recent years due to its broad applications in machine learning. This paper focuses on bilevel optimization in decentralized networks and proposes a novel single-loop algorithm for…

Optimization and Control · Mathematics 2024-04-24 Youran Dong , Shiqian Ma , Junfeng Yang , Chao Yin

We develop the first active learning method for contextual linear optimization. Specifically, we introduce a label acquisition algorithm that sequentially decides whether to request the ``labels'' of feature samples from an unlabeled data…

Machine Learning · Computer Science 2025-01-31 Mo Liu , Paul Grigas , Heyuan Liu , Zuo-Jun Max Shen

Self-training, a semi-supervised learning algorithm, leverages a large amount of unlabeled data to improve learning when the labeled data are limited. Despite empirical successes, its theoretical characterization remains elusive. To the…

Machine Learning · Computer Science 2022-02-15 Shuai Zhang , Meng Wang , Sijia Liu , Pin-Yu Chen , Jinjun Xiong

In "Unlabeled Sensing", one observes a set of linear measurements of an underlying signal with incomplete or missing information about their ordering, which can be modeled in terms of an unknown permutation. Previous work on the case of a…

Information Theory · Computer Science 2020-07-14 Hang Zhang , Martin Slawski , Ping Li

Regressing 3D rotations of objects from 2D images is a crucial yet challenging task, with broad applications in autonomous driving, virtual reality, and robotic control. Existing rotation regression models often rely on large amounts of…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Mei Li , Huayi Zhou , Suizhi Huang , Yuxiang Lu , Yue Ding , Hongtao Lu

As a cross-topic of multi-view learning and multi-label classification, multi-view multi-label classification has gradually gained traction in recent years. The application of multi-view contrastive learning has further facilitated this…

Computer Vision and Pattern Recognition · Computer Science 2025-07-03 Chengliang Liu , Jie Wen , Yong Xu , Bob Zhang , Liqiang Nie , Min Zhang

Multi-label classification deals with the problem where each instance is associated with multiple class labels. Because evaluation in multi-label classification is more complicated than single-label setting, a number of performance measures…

Machine Learning · Computer Science 2020-07-07 Xi-Zhu Wu , Zhi-Hua Zhou

This paper studies the problem of recovering a low-rank matrix from several noisy random linear measurements. We consider the setting where the rank of the ground-truth matrix is unknown a priori and use an objective function built from a…

Optimization and Control · Mathematics 2025-07-29 Lijun Ding , Zhen Qin , Liwei Jiang , Jinxin Zhou , Zhihui Zhu

Contrastive learning methods enforce label distance relationships in feature space to improve representation capability for regression models. However, these methods highly depend on label information to correctly recover ordinal…

Machine Learning · Computer Science 2025-12-11 Ce Wang , Weihang Dai , Hanru Bai , Xiaomeng Li