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In this paper we consider a distributed optimization scenario in which a set of agents has to solve a convex optimization problem with separable cost function, local constraint sets and a coupling inequality constraint. We propose a novel…

系统与控制 · 计算机科学 2018-04-25 Ivano Notarnicola , Giuseppe Notarstefano

The parallel alternating direction method of multipliers (ADMM) algorithm is widely recognized for its effectiveness in handling large-scale datasets stored in a distributed manner, making it a popular choice for solving statistical…

机器学习 · 统计学 2023-11-22 Xiaofei Wu , Zhimin Zhang , Zhenyu Cui

Many real-world classification tasks require predicting multiple labels per instance, necessitating the optimization of complex evaluation metrics such as the $F$-measure and Jaccard index. While the Empirical Utility Maximization (EUM)…

机器学习 · 计算机科学 2026-05-28 Mehryar Mohri , Yutao Zhong

Phase retrieval (PR) is a popular research topic in signal processing and machine learning. However, its performance degrades significantly when the measurements are corrupted by noise or outliers. To address this limitation, we propose a…

最优化与控制 · 数学 2025-05-30 Jun Fan , Ailing Yan , Xianchao Xiu , Wanquan Liu

We introduce a new algorithm to solve a regularized spatial-spectral image estimation problem. Our approach is based on the linearized alternating directions method of multipliers (LADMM), which is a variation of the popular ADMM algorithm.…

信号处理 · 电气工程与系统科学 2025-02-25 Yunsong Liu , Debdut Mandal , Congyu Liao , Kawin Setsompop , Justin P. Haldar

The multi-label classification problem has generated significant interest in recent years. However, existing approaches do not adequately address two key challenges: (a) the ability to tackle problems with a large number (say millions) of…

机器学习 · 计算机科学 2013-11-26 Hsiang-Fu Yu , Prateek Jain , Purushottam Kar , Inderjit S. Dhillon

Regularization is a central tool for addressing ill-posedness in inverse problems and statistical estimation, with the choice of a suitable penalty often determining the reliability and interpretability of downstream solutions. While recent…

最优化与控制 · 数学 2025-10-07 Oscar Leong , Eliza O'Reilly , Yong Sheng Soh

We study an extreme scenario in multi-label learning where each training instance is endowed with a single one-bit label out of multiple labels. We formulate this problem as a non-trivial special case of one-bit rank-one matrix sensing and…

机器学习 · 统计学 2017-03-20 Shuang Qiu , Tingjin Luo , Jieping Ye , Ming Lin

This work addresses arbitrary convex vector optimization problems, which constitute a general framework for multi-criteria decision-making in diverse real-world applications. Due to their complexity, such problems are typically tackled…

最优化与控制 · 数学 2026-03-31 Daniel Dörfler , Rebecca Köhler , Andreas Löhne

In this paper we study the convex envelopes of a new class of functions. Using this approach, we are able to unify two important classes of regularizers from unbiased non-convex formulations and weighted nuclear norm penalties. This opens…

最优化与控制 · 数学 2021-03-18 Marcus Valtonen Örnhag , Carl Olsson , Anders Heyden

Multi-label image classification is a fundamental but challenging task in computer vision. Great progress has been achieved by exploiting semantic relations between labels in recent years. However, conventional approaches are unable to…

计算机视觉与模式识别 · 计算机科学 2017-04-03 Feng Zhu , Hongsheng Li , Wanli Ouyang , Nenghai Yu , Xiaogang Wang

Multi-label ranking maps instances to a ranked set of predicted labels from multiple possible classes. The ranking approach for multi-label learning problems received attention for its success in multi-label classification, with one of the…

计算机视觉与模式识别 · 计算机科学 2022-12-09 Emine Dari , V. Bugra Yesilkaynak , Alican Mertan , Gozde Unal

We consider the problem of supervised learning with convex loss functions and propose a new form of iterative regularization based on the subgradient method. Unlike other regularization approaches, in iterative regularization no constraint…

机器学习 · 统计学 2015-04-02 Junhong Lin , Lorenzo Rosasco , Ding-Xuan Zhou

Multi-label classification studies the task where each example belongs to multiple labels simultaneously. As a representative method, Ranking Support Vector Machine (Rank-SVM) aims to minimize the Ranking Loss and can also mitigate the…

机器学习 · 计算机科学 2019-11-06 Guoqiang Wu , Ruobing Zheng , Yingjie Tian , Dalian Liu

The development of reliable methods for multi-label classification (MLC) has become a prominent research direction in remote sensing (RS). As the scale of RS data continues to expand, annotation procedures increasingly rely on thematic…

计算机视觉与模式识别 · 计算机科学 2026-01-14 Tom Burgert , Julia Henkel , Begüm Demir

Reverse Unrestricted MIxed DAta Sampling (RU-MIDAS) regressions are used to model high-frequency responses by means of low-frequency variables. However, due to the periodic structure of RU-MIDAS regressions, the dimensionality grows quickly…

计量经济学 · 经济学 2024-11-04 Alain Hecq , Marie Ternes , Ines Wilms

The goal in extreme multi-label classification is to learn a classifier which can assign a small subset of relevant labels to an instance from an extremely large set of target labels. Datasets in extreme classification exhibit a long tail…

机器学习 · 统计学 2018-03-06 Rohit Babbar , Bernhard Schölkopf

Hyperspectral (HS) unmixing is the process of decomposing an HS image into material-specific spectra (endmembers) and their spatial distributions (abundance maps). Existing unmixing methods have two limitations with respect to noise…

图像与视频处理 · 电气工程与系统科学 2024-03-20 Kazuki Naganuma , Shunsuke Ono

We consider a variational convex relaxation of a class of optimal partitioning and multiclass labeling problems, which has recently proven quite successful and can be seen as a continuous analogue of Linear Programming (LP) relaxation…

计算机视觉与模式识别 · 计算机科学 2011-12-06 Jan Lellmann , Frank Lenzen , Christoph Schnörr

Intensity inhomogeneities in images constitute a considerable challenge in image segmentation. In this paper we propose a novel biconvex variational model to tackle this task. We combine a total variation approach for multi class…

数值分析 · 数学 2017-05-09 Jan Henrik Fitschen , Katharina Losch , Gabriele Steidl