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Matrices are two-dimensional data structures allowing one to conceptually organize information. For example, adjacency matrices are useful to store the links of a network; correlation matrices are simple ways to arrange gene co-expression…

无序系统与神经网络 · 物理学 2022-09-29 Flaviano Morone

Graph-based clustering has shown promising performance in many tasks. A key step of graph-based approach is the similarity graph construction. In general, learning graph in kernel space can enhance clustering accuracy due to the…

机器学习 · 计算机科学 2019-05-22 Zhao Kang , Honghui Xu , Boyu Wang , Hongyuan Zhu , Zenglin Xu

Semi-supervised clustering is a basic problem in various applications. Most existing methods require knowledge of the ideal cluster number, which is often difficult to obtain in practice. Besides, satisfying the must-link constraints is…

最优化与控制 · 数学 2025-03-07 Wei Liu , Xin Liu , Michael K. Ng , Zaikun Zhang

Spectral clustering is a popular tool in network data analysis, with applications in a variety of scientific application areas. However, many studies have shown that classical spectral clustering does not perform well on certain network…

统计方法学 · 统计学 2026-03-31 Sinyoung Park , Matthew Nunes , Sandipan Roy

We introduce a new framework for efficient sampling from complex probability distributions, using a combination of optimal transport maps and the Metropolis-Hastings rule. The core idea is to use continuous transportation to transform…

统计计算 · 统计学 2019-06-11 Matthew Parno , Youssef Marzouk

We investigate task clustering for deep-learning based multi-task and few-shot learning in a many-task setting. We propose a new method to measure task similarities with cross-task transfer performance matrix for the deep learning scenario.…

机器学习 · 计算机科学 2018-05-21 Mo Yu , Xiaoxiao Guo , Jinfeng Yi , Shiyu Chang , Saloni Potdar , Gerald Tesauro , Haoyu Wang , Bowen Zhou

We consider the problem of learning from a similarity matrix (such as spectral clustering and lowd imensional embedding), when computing pairwise similarities are costly, and only a limited number of entries can be observed. We provide a…

机器学习 · 统计学 2014-06-11 Ethan Fetaya , Ohad Shamir , Shimon Ullman

In this work, we focus on the efficiency and scalability of pairwise constraint-based active clustering, crucial for processing large-scale data in applications such as data mining, knowledge annotation, and AI model pre-training. Our goals…

机器学习 · 计算机科学 2025-09-11 Wen-Bo Xie , Xun Fu , Bin Chen , Yan-Li Lee , Tao Deng , Tian Zou , Xin Wang , Zhen Liu , Jaideep Srivastavad

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

数据结构与算法 · 计算机科学 2019-04-12 He Sun , Luca Zanetti

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

数据结构与算法 · 计算机科学 2017-11-06 He Sun , Luca Zanetti

We study the problem of applying spectral clustering to cluster multi-scale data, which is data whose clusters are of various sizes and densities. Traditional spectral clustering techniques discover clusters by processing a similarity…

机器学习 · 计算机科学 2020-06-09 Xiang Li , Ben Kao , Caihua Shan , Dawei Yin , Martin Ester

Graph clustering is an important unsupervised learning technique for partitioning graphs with attributes and detecting communities. However, current methods struggle to accurately capture true community structures and intra-cluster…

机器学习 · 计算机科学 2024-11-19 Samarth Bhatia , Yukti Makhija , Manoj Kumar , Sandeep Kumar

We consider the least-squares approximation of a matrix C in the set of doubly stochastic matrices with the same sparsity pattern as C. Our approach is based on applying the well-known Alternating Direction Method of Multipliers (ADMM) to a…

最优化与控制 · 数学 2019-10-14 Nikitas Rontsis , Paul J. Goulart

Recently, network lasso has drawn many attentions due to its remarkable performance on simultaneous clustering and optimization. However, it usually suffers from the imperfect data (noise, missing values etc), and yields sub-optimal…

机器学习 · 计算机科学 2018-08-21 Yawei Zhao , Kai Xu , Xinwang Liu , En Zhu , Xinzhong Zhu , Jianping Yin

Graph based clustering is one of the major clustering methods. Most of it work in three separate steps: similarity graph construction, clustering label relaxing and label discretization with k-means. Such common practice has three…

机器学习 · 计算机科学 2019-04-26 Yudong Han , Lei Zhu , Zhiyong Cheng , Jingjing Li , Xiaobai Liu

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…

数据结构与算法 · 计算机科学 2020-04-28 Michael Hamann , Ben Strasser , Dorothea Wagner , Tim Zeitz

Most existing semi-supervised graph-based clustering methods exploit the supervisory information by either refining the affinity matrix or directly constraining the low-dimensional representations of data points. The affinity matrix…

机器学习 · 计算机科学 2022-09-07 Huaming Ling , Chenglong Bao , Xin Liang , Zuoqiang Shi

Graph clustering is crucial for unraveling intricate data structures, yet it presents significant challenges due to its unsupervised nature. Recently, goal-directed clustering techniques have yielded impressive results, with contrastive…

机器学习 · 计算机科学 2025-07-21 Enhao Cheng , Shoujia Zhang , Jianhua Yin , Li Jin , Liqiang Nie

The objective of clustering is to discover natural groups in datasets and to identify geometrical structures which might reside there, without assuming any prior knowledge on the characteristics of the data. The problem can be seen as…

计算几何 · 计算机科学 2018-01-26 Luis-Evaristo Caraballo , José-Miguel Díaz-Báñez , Nadine Kroher

Graph clustering is a basic technique in machine learning, and has widespread applications in different domains. While spectral techniques have been successfully applied for clustering undirected graphs, the performance of spectral…

机器学习 · 计算机科学 2019-08-07 Mihai Cucuringu , Huan Li , He Sun , Luca Zanetti
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