Data Clustering and Visualization with Recursive Goemans-Williamson MaxCut Algorithm
- URL: http://arxiv.org/abs/2408.07763v1
- Date: Wed, 14 Aug 2024 18:30:57 GMT
- Title: Data Clustering and Visualization with Recursive Goemans-Williamson MaxCut Algorithm
- Abstract summary: We introduce a novel modification to the classical Goemans-Williamson MaxCut algorithm, offering improved performance in vectorized data clustering tasks.
Our methods provide advantages in both computational efficiency and clustering accuracy, substantiated through comprehensive experiments.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In this article, we introduce a novel recursive modification to the classical Goemans-Williamson MaxCut algorithm, offering improved performance in vectorized data clustering tasks. Focusing on the clustering of medical publications, we employ recursive iterations in conjunction with a dimension relaxation method to significantly enhance density of clustering results. Furthermore, we propose a unique vectorization technique for articles, leveraging conditional probabilities for more effective clustering. Our methods provide advantages in both computational efficiency and clustering accuracy, substantiated through comprehensive experiments.
Related papers
- k-HyperEdge Medoids for Clustering Ensemble [18.340202398732632]
The clustering ensemble is formulated as a k-HyperEdge Medoids discovery problem.
A clustering ensemble method based on k-HyperEdge Medoids is proposed.
The convergence of the method is verified by experimental analysis of twenty data sets.
arXiv Detail & Related papers (2024-12-11T11:04:17Z) - Fuzzy K-Means Clustering without Cluster Centroids [21.256564324236333]
Fuzzy K-Means clustering is a critical technique in unsupervised data analysis.
This paper proposes a novel Fuzzy textitK-Means clustering algorithm that entirely eliminates the reliance on cluster centroids.
arXiv Detail & Related papers (2024-04-07T12:25:03Z) - Reinforcement Graph Clustering with Unknown Cluster Number [91.4861135742095]
We propose a new deep graph clustering method termed Reinforcement Graph Clustering.
In our proposed method, cluster number determination and unsupervised representation learning are unified into a uniform framework.
In order to conduct feedback actions, the clustering-oriented reward function is proposed to enhance the cohesion of the same clusters and separate the different clusters.
arXiv Detail & Related papers (2023-08-13T18:12:28Z) - Instance-Optimal Cluster Recovery in the Labeled Stochastic Block Model [79.46465138631592]
We devise an efficient algorithm that recovers clusters using the observed labels.
We present Instance-Adaptive Clustering (IAC), the first algorithm whose performance matches these lower bounds both in expectation and with high probability.
arXiv Detail & Related papers (2023-06-18T08:46:06Z) - Gradient Based Clustering [72.15857783681658]
We propose a general approach for distance based clustering, using the gradient of the cost function that measures clustering quality.
The approach is an iterative two step procedure (alternating between cluster assignment and cluster center updates) and is applicable to a wide range of functions.
arXiv Detail & Related papers (2022-02-01T19:31:15Z) - Shift of Pairwise Similarities for Data Clustering [7.462336024223667]
We consider the case where the regularization term is the sum of the squared size of the clusters, and then generalize it to adaptive regularization of the pairwise similarities.
This leads to shifting (adaptively) the pairwise similarities which might make some of them negative.
We then propose an efficient local search optimization algorithm with fast theoretical convergence rate to solve the new clustering problem.
arXiv Detail & Related papers (2021-10-25T16:55:07Z) - Graph Contrastive Clustering [131.67881457114316]
We propose a novel graph contrastive learning framework, which is then applied to the clustering task and we come up with the Graph Constrastive Clustering(GCC) method.
Specifically, on the one hand, the graph Laplacian based contrastive loss is proposed to learn more discriminative and clustering-friendly features.
On the other hand, a novel graph-based contrastive learning strategy is proposed to learn more compact clustering assignments.
arXiv Detail & Related papers (2021-04-03T15:32:49Z) - Scalable Hierarchical Agglomerative Clustering [65.66407726145619]
Existing scalable hierarchical clustering methods sacrifice quality for speed.
We present a scalable, agglomerative method for hierarchical clustering that does not sacrifice quality and scales to billions of data points.
arXiv Detail & Related papers (2020-10-22T15:58:35Z) - Multi-View Spectral Clustering with High-Order Optimal Neighborhood
Laplacian Matrix [57.11971786407279]
Multi-view spectral clustering can effectively reveal the intrinsic cluster structure among data.
This paper proposes a multi-view spectral clustering algorithm that learns a high-order optimal neighborhood Laplacian matrix.
Our proposed algorithm generates the optimal Laplacian matrix by searching the neighborhood of the linear combination of both the first-order and high-order base.
arXiv Detail & Related papers (2020-08-31T12:28:40Z) - A semi-supervised sparse K-Means algorithm [3.04585143845864]
An unsupervised sparse clustering method can be employed in order to detect the subgroup of features necessary for clustering.
A semi-supervised method can use the labelled data to create constraints and enhance the clustering solution.
We show that the algorithm maintains the high performance of other semi-supervised algorithms and in addition preserves the ability to identify informative from uninformative features.
arXiv Detail & Related papers (2020-03-16T02:05:23Z) - Point-Set Kernel Clustering [11.093960688450602]
This paper introduces a new similarity measure called point-set kernel which computes the similarity between an object and a set of objects.
We show that the new clustering procedure is both effective and efficient that enables it to deal with large scale datasets.
arXiv Detail & Related papers (2020-02-14T00:00:03Z) - Autoencoder-based time series clustering with energy applications [0.0]
Time series clustering is a challenging task due to the specific nature of the data.
In this paper we investigate the combination of a convolutional autoencoder and a k-medoids algorithm to perfom time series clustering.
arXiv Detail & Related papers (2020-02-10T10:04:29Z) - Clustering Binary Data by Application of Combinatorial Optimization
Heuristics [52.77024349608834]
We study clustering methods for binary data, first defining aggregation criteria that measure the compactness of clusters.
Five new and original methods are introduced, using neighborhoods and population behavior optimization metaheuristics.
From a set of 16 data tables generated by a quasi-Monte Carlo experiment, a comparison is performed for one of the aggregations using L1 dissimilarity, with hierarchical clustering, and a version of k-means: partitioning around medoids or PAM.
arXiv Detail & Related papers (2020-01-06T23:33:31Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.