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Clustering is concerned with coherently grouping observations without any explicit concept of true groupings. Spectral graph clustering - clustering the vertices of a graph based on their spectral embedding - is commonly approached via…

Contrastive learning is a powerful self-supervised learning method, but we have a limited theoretical understanding of how it works and why it works. In this paper, we prove that contrastive learning with the standard InfoNCE loss is…

机器学习 · 计算机科学 2024-02-26 Zhiquan Tan , Yifan Zhang , Jingqin Yang , Yang Yuan

Hashing techniques, also known as binary code learning, have recently gained increasing attention in large-scale data analysis and storage. Generally, most existing hash clustering methods are single-view ones, which lack complete structure…

计算机视觉与模式识别 · 计算机科学 2019-12-12 Guangqi Jiang , Huibing Wang , Jinjia Peng , Dongyan Chen , Xianping Fu

Graph contrastive learning (GCL) aims to contrast positive-negative counterparts to learn the node embeddings, whereas graph data augmentation methods are employed to generate these positive-negative samples. The variation, quantity, and…

机器学习 · 计算机科学 2025-03-05 Adnan Ali , Jinlong Li , Huanhuan Chen , Ali Kashif Bashir

The network embedding problem that maps nodes in a graph to vectors in Euclidean space can be very useful for addressing several important tasks on a graph. Recently, graph neural networks (GNNs) have been proposed for solving such a…

机器学习 · 计算机科学 2020-09-23 Ping-En Lu , Cheng-Shang Chang

Spectral clustering is a powerful technique for clustering high-dimensional data, utilizing graph-based representations to detect complex, non-linear structures and non-convex clusters. The construction of a similarity graph is essential…

机器学习 · 计算机科学 2025-01-27 Kamal Berahmand , Farid Saberi-Movahed , Razieh Sheikhpour , Yuefeng Li , Mahdi Jalili

We present a principled spectral approach to the well-studied constrained clustering problem. It reduces clustering to a generalized eigenvalue problem on Laplacians. The method works in nearly-linear time and provides concrete guarantees…

社会与信息网络 · 计算机科学 2016-01-20 Mihai Cucuringu , Ioannis Koutis , Sanjay Chawla

In order to study real-world systems, many applied works model them through signed graphs, i.e. graphs whose edges are labeled as either positive or negative. Such a graph is considered as structurally balanced when it can be partitioned…

机器人学 · 计算机科学 2022-03-31 Nejat Arinik , Rosa Figueiredo , Vincent Labatut

Most multi-view clustering methods are limited by shallow models without sound nonlinear information perception capability, or fail to effectively exploit complementary information hidden in different views. To tackle these issues, we…

机器学习 · 计算机科学 2022-10-14 Fu Lele , Zhang Lei , Yang Jinghua , Chen Chuan , Zhang Chuanfu , Zheng Zibin

Clustering of data sets is a standard problem in many areas of science and engineering. The method of spectral clustering is based on embedding the data set using a kernel function, and using the top eigenvectors of the normalized Laplacian…

统计理论 · 数学 2015-04-08 Geoffrey Schiebinger , Martin J. Wainwright , Bin Yu

Our problem of interest is to cluster vertices of a graph by identifying underlying community structure. Among various vertex clustering approaches, spectral clustering is one of the most popular methods because it is easy to implement…

机器学习 · 统计学 2020-09-23 Congyuan Yang , Carey E. Priebe , Youngser Park , David J. Marchette

Spectral clustering is a popular and effective algorithm designed to find $k$ clusters in a graph $G$. In the classical spectral clustering algorithm, the vertices of $G$ are embedded into $\mathbb{R}^k$ using $k$ eigenvectors of the graph…

数据结构与算法 · 计算机科学 2023-10-18 Peter Macgregor

Learning scientific document representations can be substantially improved through contrastive learning objectives, where the challenge lies in creating positive and negative training samples that encode the desired similarity semantics.…

计算与语言 · 计算机科学 2022-10-20 Malte Ostendorff , Nils Rethmeier , Isabelle Augenstein , Bela Gipp , Georg Rehm

Spectral clustering requires the time-consuming decomposition of the Laplacian matrix of the similarity graph, thus limiting its applicability to large datasets. To improve the efficiency of spectral clustering, a top-down approach was…

机器学习 · 计算机科学 2024-12-19 Zhichang Xu , Zhiguo Long , Hua Meng

Graph representation learning has emerged as a powerful tool for preserving graph topology when mapping nodes to vector representations, enabling various downstream tasks such as node classification and community detection. However, most…

机器学习 · 计算机科学 2025-03-21 Kaizhe Fan , Quanjun Li

Graph Contrastive Learning (GCL) has emerged as a popular training approach for learning node embeddings from augmented graphs without labels. Despite the key principle that maximizing the similarity between positive node pairs while…

机器学习 · 计算机科学 2024-05-27 Yue Yu , Xiao Wang , Mengmei Zhang , Nian Liu , Chuan Shi

Spectral clustering refers to a family of unsupervised learning algorithms that compute a spectral embedding of the original data based on the eigenvectors of a similarity graph. This non-linear transformation of the data is both the key of…

机器学习 · 计算机科学 2019-01-30 Nicolas Tremblay , Andreas Loukas

Legal documents pose unique challenges for text classification due to their domain-specific language and often limited labeled data. This paper proposes a hybrid approach for classifying legal texts by combining unsupervised topic and graph…

机器学习 · 统计学 2025-09-03 Deepak Bastola , Woohyeok Choi

One of the fundamental problems in network analysis is detecting community structure in multi-layer networks, of which each layer represents one type of edge information among the nodes. We propose integrative spectral clustering approaches…

机器学习 · 统计学 2022-10-07 Sihan Huang , Haolei Weng , Yang Feng

Graph Contrastive Learning (GCL) has recently emerged as a promising graph self-supervised learning framework for learning discriminative node representations without labels. The widely adopted objective function of GCL benefits from two…

机器学习 · 计算机科学 2024-11-05 Yunhui Liu , Tieke He , Tao Zheng , Jianhua Zhao