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Fuzzy c-means based clustering algorithms are frequently used for Takagi-Sugeno-Kang (TSK) fuzzy classifier antecedent parameter estimation. One rule is initialized from each cluster. However, most of these clustering algorithms are…

机器学习 · 计算机科学 2020-03-02 Yuqi Cui , Huidong Wang , Dongrui Wu

We revisit the recently developed framework of proportionally fair clustering, where the goal is to provide group fairness guarantees that become stronger for groups of data points (agents) that are large and cohesive. Prior work applies…

机器学习 · 计算机科学 2024-10-31 Ioannis Caragiannis , Evi Micha , Nisarg Shah

We consider the problem of clustering partially labeled data from a minimal number of randomly chosen pairwise comparisons between the items. We introduce an efficient local algorithm based on a power iteration of the non-backtracking…

机器学习 · 计算机科学 2018-06-28 Alaa Saade , Florent Krzakala , Marc Lelarge , Lenka Zdeborová

This paper describes a graph clustering algorithm that aims to minimize the normalized cut criterion and has a model order selection procedure. The performance of the proposed algorithm is comparable to spectral approaches in terms of…

人工智能 · 计算机科学 2011-05-06 Seyed Salim Tabatabaei , Mark Coates , Michael Rabbat

Subspace clustering (SC) aims to cluster data lying in a union of low-dimensional subspaces. Usually, SC learns an affinity matrix and then performs spectral clustering. Both steps suffer from high time and space complexity, which leads to…

机器学习 · 计算机科学 2021-06-01 Jicong Fan

Density-based clustering techniques are used in a wide range of data mining applications. One of their most attractive features con- sists in not making use of prior knowledge of the number of clusters that a dataset contains along with…

机器学习 · 计算机科学 2018-07-24 Roberto Pirrone , Vincenzo Cannella , Sergio Monteleone , Gabriella Giordano

Clustering is a fundamental task in machine learning. One of the most successful and broadly used algorithms is DBSCAN, a density-based clustering algorithm. DBSCAN requires $\epsilon$-nearest neighbor graphs of the input dataset, which are…

分布式、并行与集群计算 · 计算机科学 2024-09-12 Youguang Chen , William Ruys , George Biros

The training of graph neural networks (GNNs) is extremely time consuming because sparse graph-based operations are hard to be accelerated by hardware. Prior art explores trading off the computational precision to reduce the time complexity…

机器学习 · 计算机科学 2023-07-04 Zirui Liu , Shengyuan Chen , Kaixiong Zhou , Daochen Zha , Xiao Huang , Xia Hu

Face clustering plays an essential role in exploiting massive unlabeled face data. Recently, graph-based face clustering methods are getting popular for their satisfying performances. However, they usually suffer from excessive memory…

计算机视觉与模式识别 · 计算机科学 2022-05-27 Junfu Liu , Di Qiu , Pengfei Yan , Xiaolin Wei

We present a new approach for solving (minimum disagreement) correlation clustering that results in sublinear algorithms with highly efficient time and space complexity for this problem. In particular, we obtain the following algorithms for…

数据结构与算法 · 计算机科学 2021-09-30 Sepehr Assadi , Chen Wang

Clustering is an essential data mining tool for analyzing and grouping similar objects. In big data applications, however, many clustering algorithms are infeasible due to their high memory requirements and/or unfavorable runtime…

数据结构与算法 · 计算机科学 2026-01-27 Gregor Ulm , Simon Smith , Adrian Nilsson , Emil Gustavsson , Mats Jirstrand

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…

计算机视觉与模式识别 · 计算机科学 2022-03-22 Xiaotian Yu , Yifan Yang , Aibo Wang , Ling Xing , Hanling Yi , Guangming Lu , Xiaoyu Wang

For compressed sensing over arbitrarily connected networks, we consider the problem of estimating underlying sparse signals in a distributed manner. We introduce a new signal model that helps to describe inter-signal correlation among…

信息论 · 计算机科学 2013-10-29 Dennis Sundman , Saikat Chatterjee , Mikael Skoglund

We present an accelerated algorithm for hierarchical density based clustering. Our new algorithm improves upon HDBSCAN*, which itself provided a significant qualitative improvement over the popular DBSCAN algorithm. The accelerated HDBSCAN*…

机器学习 · 统计学 2018-12-20 Leland McInnes , John Healy

Detecting arbitrarily shaped clusters in high-dimensional noisy data is challenging for current clustering methods. We introduce SHADE (Structure-preserving High-dimensional Analysis with Density-based Exploration), the first deep…

机器学习 · 计算机科学 2024-10-10 Anna Beer , Pascal Weber , Lukas Miklautz , Collin Leiber , Walid Durani , Christian Böhm , Claudia Plant

Sparsity-based subspace clustering algorithms have attracted significant attention thanks to their excellent performance in practical applications. A prominent example is the sparse subspace clustering (SSC) algorithm by Elhamifar and…

机器学习 · 计算机科学 2018-06-11 Michael Tschannen , Helmut Bölcskei

k-means has recently been recognized as one of the best algorithms for clustering unsupervised data. Since k-means depends mainly on distance calculation between all data points and the centers, the time cost will be high when the size of…

数据结构与算法 · 计算机科学 2011-08-08 Raied Salman , Vojislav Kecman , Qi Li , Robert Strack , Erik Test

Subspace clustering aims to find groups of similar objects (clusters) that exist in lower dimensional subspaces from a high dimensional dataset. It has a wide range of applications, such as analysing high dimensional sensor data or DNA…

机器学习 · 计算机科学 2018-11-08 Minh Tuan Doan , Jianzhong Qi , Sutharshan Rajasegarar , Christopher Leckie

We develop an iterative subsampling approach to improve the computational efficiency of our previous work on solution path clustering (SPC). The SPC method achieves clustering by concave regularization on the pairwise distances between…

统计方法学 · 统计学 2016-09-16 Yuliya Marchetti , Qing Zhou

We empirically analyze a simple heuristic for large sparse set cover problems. It uses the weighted greedy algorithm as a basic building block. By multiplicative updates of the weights attached to the elements, the greedy solution is…

数据结构与算法 · 计算机科学 2020-10-30 Marc Alexa