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The alternating direction method of multipliers (ADMM) is a versatile tool for solving a wide range of constrained optimization problems, with differentiable or non-differentiable objective functions. Unfortunately, its performance is…

Machine Learning · Computer Science 2017-07-20 Zheng Xu , Mario A. T. Figueiredo , Tom Goldstein

We study the problem of fitting an ultrametric distance to a dissimilarity graph in the context of hierarchical cluster analysis. Standard hierarchical clustering methods are specified procedurally, rather than in terms of the cost function…

Machine Learning · Computer Science 2021-02-03 Giovanni Chierchia , Benjamin Perret

Unsupervised machine learning, and in particular data clustering, is a powerful approach for the analysis of datasets and identification of characteristic features occurring throughout a dataset. It is gaining popularity across scientific…

Mesoscale and Nanoscale Physics · Physics 2021-03-23 Maria El Abbassi , Jan Overbeck , Oliver Braun , Michel Calame , Herre S. J. van der Zant , Mickael L. Perrin

Unsupervised domain adaptation addresses the problem of transferring knowledge from a well-labeled source domain to an unlabeled target domain where the two domains have distinctive data distributions. Thus, the essence of domain adaptation…

Computer Vision and Pattern Recognition · Computer Science 2020-04-28 Li Jingjing , Chen Erpeng , Ding Zhengming , Zhu Lei , Lu Ke , Shen Heng Tao

An appropriate distance metric is crucial for categorical data clustering, as the distance between categorical data cannot be directly calculated. However, the distances between attribute values usually vary in different clusters induced by…

Machine Learning · Computer Science 2026-03-09 Taixi Chen , Yiu-ming Cheung , Yiqun Zhang

We introduce a novel self-supervised deep clustering approach tailored for unstructured data without requiring prior knowledge of the number of clusters, termed Adaptive Self-supervised Robust Clustering (ASRC). In particular, ASRC…

Machine Learning · Computer Science 2024-07-31 Chen-Lu Ding , Jiancan Wu , Wei Lin , Shiyang Shen , Xiang Wang , Yancheng Yuan

Clustering is the problem of separating a set of objects into groups (called clusters) so that objects within the same cluster are more similar to each other than to those in different clusters. Spectral clustering is a now well-known…

Machine Learning · Computer Science 2012-11-16 B. Cung , T. Jin , J. Ramirez , A. Thompson , C. Boutsidis , D. Needell

How to improve discriminative feature learning is central in classification. Existing works address this problem by explicitly increasing inter-class separability and intra-class similarity, whether by constructing positive and negative…

Machine Learning · Computer Science 2024-08-21 Qingsong Zhao , Yi Wang , Shuguang Dou , Chen Gong , Yin Wang , Cairong Zhao

Good quality similarity metrics can significantly facilitate the performance of many large-scale, real-world applications. Existing studies have proposed various solutions to learn a Mahalanobis or bilinear metric in an online fashion by…

Machine Learning · Computer Science 2021-04-06 Yang Gao , Yi-Fan Li , Swarup Chandra , Latifur Khan , Bhavani Thuraisingham

We present a discriminative clustering approach in which the feature representation can be learned from data and moreover leverage labeled data. Representation learning can give a similarity-based clustering method the ability to…

Machine Learning · Statistics 2023-02-21 Corinne Jones , Vincent Roulet , Zaid Harchaoui

Distance metric learning is successful in discovering intrinsic relations in data. However, most algorithms are computationally demanding when the problem size becomes large. In this paper, we propose a discriminative metric learning…

Machine Learning · Computer Science 2019-05-15 Jun Li , Xun Lin , Xiaoguang Rui , Yong Rui , Dacheng Tao

Spectral Embedding (SE) has often been used to map data points from non-linear manifolds to linear subspaces for the purpose of classification and clustering. Despite significant advantages, the subspace structure of data in the original…

Computer Vision and Pattern Recognition · Computer Science 2023-05-16 Hira Yaseen , Arif Mahmood

In this letter, we propose a novel semi-supervised subspace clustering method, which is able to simultaneously augment the initial supervisory information and construct a discriminative affinity matrix. By representing the limited amount of…

Computer Vision and Pattern Recognition · Computer Science 2023-01-05 Yuheng Jia , Guanxing Lu , Hui Liu , Junhui Hou

Algebraic Subspace Clustering (ASC) is a simple and elegant method based on polynomial fitting and differentiation for clustering noiseless data drawn from an arbitrary union of subspaces. In practice, however, ASC is limited to…

Computer Vision and Pattern Recognition · Computer Science 2015-10-16 Manolis C. Tsakiris , Rene Vidal

Convolutional neural networks (CNNs) have attracted increasing attention in the remote sensing community. Most CNNs only take the last fully-connected layers as features for the classification of remotely sensed images, discarding the other…

Computer Vision and Pattern Recognition · Computer Science 2016-11-14 Qingshan Liu , Renlong Hang , Huihui Song , Fuping Zhu , Javier Plaza , Antonio Plaza

Adaptive control achieves concurrent parameter learning and stable control under uncertainties that are linearly parameterized with known nonlinear features. Nonetheless, it is often difficult to obtain such nonlinear features. To address…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Sunbochen Tang , Haoyuan Sun , Navid Azizan

In this paper we make progress on the unsupervised task of mining arbitrarily shaped clusters in highly noisy datasets, which is a task present in many real-world applications. Based on the fundamental work that first applies a wavelet…

Databases · Computer Science 2019-01-08 Zengjian Chen , Jiayi Liu , Yihe Deng , Kun He , John E. Hopcroft

Face clustering is an essential task in computer vision due to the explosion of related applications such as augmented reality or photo album management. The main challenge of this task lies in the imperfectness of similarities among image…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Xiaotian Yu , Yifan Yang , Aibo Wang , Ling Xing , Hanling Yi , Guangming Lu , Xiaoyu Wang

Autism spectrum disorder (ASD) remains a challenging condition to diagnose effectively and promptly, despite global efforts in public health, clinical screening, and scientific research. Traditional diagnostic methods, primarily reliant on…

Computers and Society · Computer Science 2025-03-11 Nora Fink

Manifold learning is a central task in modern statistics and data science. Many datasets (cells, documents, images, molecules) can be represented as point clouds embedded in a high dimensional ambient space, however the degrees of freedom…

Machine Learning · Statistics 2025-02-18 Stephen Zhang , Gilles Mordant , Tetsuya Matsumoto , Geoffrey Schiebinger
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