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We present a simple spectral approach to the well-studied constrained clustering problem. It captures constrained clustering as a generalized eigenvalue problem with graph Laplacians. The algorithm works in nearly-linear time and provides…

Social and Information Networks · Computer Science 2016-01-20 Mihai Cucuringu , Ioannis Koutis , Sanjay Chawla , Gary Miller , Richard Peng

We propose a novel distributed algorithm to cluster graphs. The algorithm recovers the solution obtained from spectral clustering without the need for expensive eigenvalue/vector computations. We prove that, by propagating waves through the…

Discrete Mathematics · Computer Science 2015-03-13 Tuhin Sahai , Alberto Speranzon , Andrzej Banaszuk

Cluster analysis, or clustering, plays a crucial role across numerous scientific and engineering domains. Despite the wealth of clustering methods proposed over the past decades, each method is typically designed for specific scenarios and…

Methodology · Statistics 2026-01-22 Siyi Wang , Alexandre Leblanc , Paul D. McNicholas

Given a small set of labeled data and a large set of unlabeled data, semi-supervised learning (SSL) attempts to leverage the location of the unlabeled datapoints in order to create a better classifier than could be obtained from supervised…

Machine Learning · Computer Science 2022-05-25 Michael C. Burkhart , Kyle Shan

We study the problem of semi-supervised learning on graphs in the regime where data labels are scarce or possibly corrupted. We propose an approach called $p$-conductance learning that generalizes the $p$-Laplace and Poisson learning…

Machine Learning · Computer Science 2025-02-14 Sawyer Jack Robertson , Chester Holtz , Zhengchao Wan , Gal Mishne , Alexander Cloninger

Deep learning demands a huge amount of well-labeled data to train the network parameters. How to use the least amount of labeled data to obtain the desired classification accuracy is of great practical significance, because for many…

Machine Learning · Computer Science 2019-12-20 Xiao Han , Zihao Wang , Enmei Tu , Gunnam Suryanarayana , Jie Yang

Face clustering can provide pseudo-labels to the massive unlabeled face data and improve the performance of different face recognition models. The existing clustering methods generally aggregate the features within subgraphs that are often…

Computer Vision and Pattern Recognition · Computer Science 2023-04-24 Yuan Cao , Di Jiang , Guanqun Hou , Fan Deng , Xinjia Chen , Qiang Yang

Multiplex networks are complex graph structures in which a set of entities are connected to each other via multiple types of relations, each relation representing a distinct layer. Such graphs are used to investigate many complex…

We consider the problem of semi-supervised few-shot classification where a classifier needs to adapt to new tasks using a few labeled examples and (potentially many) unlabeled examples. We propose a clustering approach to the problem. The…

Machine Learning · Computer Science 2018-04-26 Rinu Boney , Alexander Ilin

Locally-biased graph algorithms are algorithms that attempt to find local or small-scale structure in a large data graph. In some cases, this can be accomplished by adding some sort of locality constraint and calling a traditional graph…

Social and Information Networks · Computer Science 2016-12-06 Kimon Fountoulakis , David Gleich , Michael Mahoney

Graph clustering has many important applications in computing, but due to growing sizes of graphs, even traditionally fast clustering methods such as spectral partitioning can be computationally expensive for real-world graphs of interest.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-11 Julian Shun , Farbod Roosta-Khorasani , Kimon Fountoulakis , Michael W. Mahoney

A central goal of unsupervised learning is to acquire representations from unlabeled data or experience that can be used for more effective learning of downstream tasks from modest amounts of labeled data. Many prior unsupervised learning…

Machine Learning · Computer Science 2019-03-25 Kyle Hsu , Sergey Levine , Chelsea Finn

Semi-supervised learning is a challenging problem which aims to construct a model by learning from limited labeled examples. Numerous methods for this task focus on utilizing the predictions of unlabeled instances consistency alone to…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Peng Tu , Yawen Huang , Feng Zheng , Zhenyu He , Liujun Cao , Ling Shao

In this paper, we investigate the use of an unsupervised label clustering technique and demonstrate that it enables substantial improvements in visual relationship prediction accuracy on the Person in Context (PIC) dataset. We propose to…

Computer Vision and Pattern Recognition · Computer Science 2018-09-11 Hsuan-Kung Yang , An-Chieh Cheng , Kuan-Wei Ho , Tsu-Jui Fu , Chun-Yi Lee

We study large-scale, distributed graph clustering. Given an undirected graph, our objective is to partition the nodes into disjoint sets called clusters. A cluster should contain many internal edges while being sparsely connected to other…

Data Structures and Algorithms · Computer Science 2020-04-28 Michael Hamann , Ben Strasser , Dorothea Wagner , Tim Zeitz

Can we automatically group images into semantically meaningful clusters when ground-truth annotations are absent? The task of unsupervised image classification remains an important, and open challenge in computer vision. Several recent…

Computer Vision and Pattern Recognition · Computer Science 2020-07-06 Wouter Van Gansbeke , Simon Vandenhende , Stamatios Georgoulis , Marc Proesmans , Luc Van Gool

A clustering algorithm partitions a set of data points into smaller sets (clusters) such that each subset is more tightly packed than the whole. Many approaches to clustering translate the vector data into a graph with edges reflecting a…

Geometric Topology · Mathematics 2012-06-06 Jesse Johnson

Clustering is a common technique for statistical data analysis, Clustering is the process of grouping the data into classes or clusters so that objects within a cluster have high similarity in comparison to one another, but are very…

Machine Learning · Computer Science 2012-03-12 T Soni Madhulatha

Feature selection methods have an important role on the readability of data and the reduction of complexity of learning algorithms. In recent years, a variety of efforts are investigated on feature selection problems based on unsupervised…

Machine Learning · Computer Science 2019-12-12 Mohsen Ghassemi Parsa , Hadi Zare , Mehdi Ghatee

In this paper we study variants of the widely used spectral clustering that partitions a graph into k clusters by (1) embedding the vertices of a graph into a low-dimensional space using the bottom eigenvectors of the Laplacian matrix, and…

Data Structures and Algorithms · Computer Science 2017-02-01 Richard Peng , He Sun , Luca Zanetti