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Sparse subspace clustering (SSC) clusters $n$ points that lie near a union of low-dimensional subspaces. The SSC model expresses each point as a linear or affine combination of the other points, using either $\ell_1$ or $\ell_0$…

计算机视觉与模式识别 · 计算机科学 2024-07-08 Farhad Pourkamali-Anaraki , James Folberth , Stephen Becker

We propose a novel sparse sliced inverse regression method based on random projections in a large $p$ small $n$ setting. Embedded in a generalized eigenvalue framework, the proposed approach finally reduces to parallel execution of…

统计方法学 · 统计学 2023-08-04 Jia Zhang , Runxiong Wu , Xin Chen

Huge scale machine learning problems are nowadays tackled by distributed optimization algorithms, i.e. algorithms that leverage the compute power of many devices for training. The communication overhead is a key bottleneck that hinders…

机器学习 · 计算机科学 2018-11-30 Sebastian U. Stich , Jean-Baptiste Cordonnier , Martin Jaggi

High-dimensional learning problems, where the number of features exceeds the sample size, often require sparse regularization for effective prediction and variable selection. While established for fully supervised data, these techniques…

机器学习 · 计算机科学 2026-01-01 The Tien Mai , Mai Anh Nguyen , Trung Nghia Nguyen

Built upon the decision tree (DT) classification and regression idea, the subspace learning machine (SLM) has been recently proposed to offer higher performance in general classification and regression tasks. Its performance improvement is…

机器学习 · 计算机科学 2022-08-16 Hongyu Fu , Yijing Yang , Yuhuai Liu , Joseph Lin , Ethan Harrison , Vinod K. Mishra , C. -C. Jay Kuo

We investigate Learning from Label Proportions (LLP), a partial information setting where examples in a training set are grouped into bags, and only aggregate label values in each bag are available. Despite the partial observability, the…

机器学习 · 计算机科学 2025-06-02 Robert Busa-Fekete , Travis Dick , Claudio Gentile , Haim Kaplan , Tomer Koren , Uri Stemmer

Sparse modeling is a powerful framework for data analysis and processing. Traditionally, encoding in this framework is done by solving an l_1-regularized linear regression problem, usually called Lasso. In this work we first combine the…

信息论 · 计算机科学 2010-03-02 Pablo Sprechmann , Ignacio Ramirez , Guillermo Sapiro , Yonina C. Eldar

Solving l1 regularized optimization problems is common in the fields of computational biology, signal processing and machine learning. Such l1 regularization is utilized to find sparse minimizers of convex functions. A well-known example is…

数值分析 · 计算机科学 2016-07-04 Eran Treister , Javier S. Turek , Irad Yavneh

Boosting as gradient descent algorithms is one popular method in machine learning. In this paper a novel Boosting-type algorithm is proposed based on restricted gradient descent with structural sparsity control whose underlying dynamics are…

机器学习 · 统计学 2017-04-18 Chendi Huang , Xinwei Sun , Jiechao Xiong , Yuan Yao

In this paper we study the sparse coding problem in the context of sparse dictionary learning for image recovery. To this end, we consider and compare several state-of-the-art sparse optimization methods constructed using the shrinkage…

计算机视觉与模式识别 · 计算机科学 2025-04-03 Shima Shabani , Mohammadsadegh Khoshghiaferezaee , Michael Breuß

This paper presents a novel meta algorithm, Partition-Merge (PM), which takes existing centralized algorithms for graph computation and makes them distributed and faster. In a nutshell, PM divides the graph into small subgraphs using our…

数据结构与算法 · 计算机科学 2013-09-25 Vincent Blondel , Kyomin Jung , Pushmeet Kohli , Devavrat Shah

Sparse coding--that is, modelling data vectors as sparse linear combinations of basis elements--is widely used in machine learning, neuroscience, signal processing, and statistics. This paper focuses on the large-scale matrix factorization…

机器学习 · 统计学 2010-02-11 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro

Recent work has demonstrated that using a carefully designed dictionary instead of a predefined one, can improve the sparsity in jointly representing a class of signals. This has motivated the derivation of learning methods for designing a…

信息论 · 计算机科学 2010-05-04 Kevin Rosenblum , Lihi Zelnik-Manor , Yonina C. Eldar

Sparse representations of images are useful in many computer vision applications. Sparse coding with an $l_1$ penalty and a learned linear dictionary requires regularization of the dictionary to prevent a collapse in the $l_1$ norms of the…

计算机视觉与模式识别 · 计算机科学 2022-09-09 Katrina Evtimova , Yann LeCun

Scalable and efficient distributed learning is one of the main driving forces behind the recent rapid advancement of machine learning and artificial intelligence. One prominent feature of this topic is that recent progresses have been made…

机器学习 · 计算机科学 2021-04-13 Ji Liu , Ce Zhang

Decentralized optimization is a powerful paradigm that finds applications in engineering and learning design. This work studies decentralized composite optimization problems with non-smooth regularization terms. Most existing gradient-based…

最优化与控制 · 数学 2019-10-29 Sulaiman A. Alghunaim , Kun Yuan , Ali H. Sayed

In this paper, we present a deep extension of Sparse Subspace Clustering, termed Deep Sparse Subspace Clustering (DSSC). Regularized by the unit sphere distribution assumption for the learned deep features, DSSC can infer a new data…

计算机视觉与模式识别 · 计算机科学 2017-09-26 Xi Peng , Jiashi Feng , Shijie Xiao , Jiwen Lu , Zhang Yi , Shuicheng Yan

Sparse coding and dictionary learning are popular techniques for linear inverse problems such as denoising or inpainting. However in many cases, the measurement process is nonlinear, for example for clipped, quantized or 1-bit measurements.…

信号处理 · 电气工程与系统科学 2020-01-08 Lucas Rencker , Francis Bach , Wenwu Wang , Mark D. Plumbley

Sparse recovery is widely applied in many fields, since many signals or vectors can be sparsely represented under some frames or dictionaries. Most of fast algorithms at present are based on solving $l^0$ or $l^1$ minimization problems and…

数值分析 · 数学 2019-03-06 Chong-Jun Li , Yi-Jun Zhong

Exploring the relationship among multiple sets of data from one same group enables practitioners to make better decisions in medical science and engineering. In this paper, we propose a sparse collaborative learning (SCL) model, an…

最优化与控制 · 数学 2022-11-15 Jun Sun , Lingchen Kong , Shenglong Zhou