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This paper presents a new multitask learning framework that learns a shared representation among the tasks, incorporating both task and feature clusters. The jointly-induced clusters yield a shared latent subspace where task relationships…

Machine Learning · Statistics 2017-03-06 Keerthiram Murugesan , Jaime Carbonell , Yiming Yang

Subspace clustering is a class of extensively studied clustering methods where the spectral-type approaches are its important subclass. Its key first step is to desire learning a representation coefficient matrix with block diagonal…

Machine Learning · Computer Science 2022-05-10 Yunxia Lin , Songcan Chen

Graphs have become increasingly popular in modeling structures and interactions in a wide variety of problems during the last decade. Graph-based clustering and semi-supervised classification techniques have shown impressive performance.…

Machine Learning · Computer Science 2020-09-01 Zhao Kang , Chong Peng , Qiang Cheng , Xinwang Liu , Xi Peng , Zenglin Xu , Ling Tian

Sparse subspace clustering (SSC) is a state-of-the-art method for segmenting a set of data points drawn from a union of subspaces into their respective subspaces. It is now well understood that SSC produces subspace-preserving data affinity…

Signal Processing · Electrical Eng. & Systems 2018-11-22 Chun-Guang Li , Chong You , René Vidal

Spectral clustering has gained importance in recent years due to its ability to cluster complex data as it requires only pairwise similarity among data points with its ease of implementation. The central point in spectral clustering is the…

Computer Vision and Pattern Recognition · Computer Science 2017-04-11 Lalith Srikanth Chintalapati , Raghunatha Sarma Rachakonda

Model selection in latent block models has been a challenging but important task in the field of statistics. Specifically, a major challenge is encountered when constructing a test on a block structure obtained by applying a specific…

Machine Learning · Statistics 2021-06-08 Chihiro Watanabe , Taiji Suzuki

Insufficient capability of existing subspace clustering methods to handle data coming from nonlinear manifolds, data corruptions, and out-of-sample data hinders their applicability to address real-world clustering and classification…

Computer Vision and Pattern Recognition · Computer Science 2020-04-08 Dario Sitnik , Ivica Kopriva

We present Particle-Based Lensing (PBL), a new technique for gravitational lensing mass reconstructions of galaxy clusters. Traditionally, most methods have employed either a finite inversion or gridding to turn observational lensed galaxy…

Astrophysics · Physics 2009-11-13 Sanghamitra Deb , David M. Goldberg , Vede J. Ramdass

Clustering in image analysis is a central technique that allows to classify elements of an image. We describe a simple clustering technique that uses the method of similarity matrices. We expand upon recent results in spectral analysis for…

Statistics Theory · Mathematics 2022-03-23 Denis Gaidashev , Ralf Pihlström , Martin Ryner

In applications ranging from communications to genetics, signals can be modeled as lying in a union of subspaces. Under this model, signal coefficients that lie in certain subspaces are active or inactive together. The potential subspaces…

Machine Learning · Statistics 2012-09-17 Nikhil Rao , Benjamin Recht , Robert Nowak

In spectral clustering and spectral image segmentation, the data is partioned starting from a given matrix of pairwise similarities S. the matrix S is constructed by hand, or learned on a separate training set. In this paper we show how to…

Machine Learning · Computer Science 2012-07-09 Susan Shortreed , Marina Meila

This paper addresses the problem of unsupervised clustering which remains one of the most fundamental challenges in machine learning and artificial intelligence. We propose the clustered generator model for clustering which contains both…

Machine Learning · Statistics 2019-11-20 Dandan Zhu , Tian Han , Linqi Zhou , Xiaokang Yang , Ying Nian Wu

There is a growing interest in characterizing circular data found in biological systems. Such data are wide ranging and varied, from signal phase in neural recordings to nucleotide sequences in round genomes. Traditional clustering…

Machine Learning · Computer Science 2023-09-19 Xiaoxiao Sun , Paul Sajda

The problem of organizing data that evolves over time into clusters is encountered in a number of practical settings. We introduce evolutionary subspace clustering, a method whose objective is to cluster a collection of evolving data points…

Computer Vision and Pattern Recognition · Computer Science 2019-01-30 Abolfazl Hashemi , Haris Vikalo

Recent deep clustering models have produced impressive clustering performance. However, a common issue with existing methods is the disparity between global and local feature structures. While local structures typically show strong…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Hanyang Li , Yuheng Jia , Hui Liu , Junhui Hou

Subspace clustering methods based on data self-expression have become very popular for learning from data that lie in a union of low-dimensional linear subspaces. However, the applicability of subspace clustering has been limited because…

Computer Vision and Pattern Recognition · Computer Science 2019-05-02 Junjian Zhang , Chun-Guang Li , Chong You , Xianbiao Qi , Honggang Zhang , Jun Guo , Zhouchen Lin

Spectral clustering is one of the most widely used techniques for extracting the underlying global structure of a data set. Compressed sensing and matrix completion have emerged as prevailing methods for efficiently recovering sparse and…

Numerical Analysis · Mathematics 2010-11-05 Blake Hunter , Thomas Strohmer

Compressive spectral imaging (CSI) has emerged as an alternative spectral image acquisition technology, which reduces the number of measurements at the cost of requiring a recovery process. In general, the reconstruction methods are based…

Image and Video Processing · Electrical Eng. & Systems 2021-05-19 Jorge Bacca , Yesid Fonseca , Henry Arguello

Deep self-expressiveness-based subspace clustering methods have demonstrated effectiveness. However, existing works only consider the attribute information to conduct the self-expressiveness, which may limit the clustering performance. In…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Zhihao Peng , Hui Liu , Yuheng Jia , Junhui Hou

This paper considers the problem of unsupervised 3D object reconstruction from in-the-wild single-view images. Due to ambiguity and intrinsic ill-posedness, this problem is inherently difficult to solve and therefore requires strong…

Machine Learning · Computer Science 2022-07-22 Weiyang Liu , Zhen Liu , Liam Paull , Adrian Weller , Bernhard Schölkopf