POCS-based Clustering Algorithm
- URL: http://arxiv.org/abs/2208.08888v3
- Date: Thu, 23 Mar 2023 06:35:45 GMT
- Title: POCS-based Clustering Algorithm
- Authors: Le-Anh Tran, Henock M. Deberneh, Truong-Dong Do, Thanh-Dat Nguyen,
My-Ha Le, Dong-Chul Park
- Abstract summary: A novel clustering technique based on the projection onto convex set (POCS) method, called POCS-based clustering algorithm, is proposed in this paper.
The proposed POCS-based clustering algorithm exploits a parallel projection method of POCS to find appropriate cluster prototypes in the feature space.
The performance of the proposed POCS-based clustering algorithm is verified through experiments on various synthetic datasets.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: A novel clustering technique based on the projection onto convex set (POCS)
method, called POCS-based clustering algorithm, is proposed in this paper. The
proposed POCS-based clustering algorithm exploits a parallel projection method
of POCS to find appropriate cluster prototypes in the feature space. The
algorithm considers each data point as a convex set and projects the cluster
prototypes parallelly to the member data points. The projections are convexly
combined to minimize the objective function for data clustering purpose. The
performance of the proposed POCS-based clustering algorithm is verified through
experiments on various synthetic datasets. The experimental results show that
the proposed POCS-based clustering algorithm is competitive and efficient in
terms of clustering error and execution speed when compared with other
conventional clustering methods including Fuzzy C-Means (FCM) and K-means
clustering algorithms.
Related papers
- 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) - Deep Embedding Clustering Driven by Sample Stability [16.53706617383543]
We propose a deep embedding clustering algorithm driven by sample stability (DECS)
Specifically, we start by constructing the initial feature space with an autoencoder and then learn the cluster-oriented embedding feature constrained by sample stability.
The experimental results on five datasets illustrate that the proposed method achieves superior performance compared to state-of-the-art clustering approaches.
arXiv Detail & Related papers (2024-01-29T09:19:49Z) - 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) - A One-shot Framework for Distributed Clustered Learning in Heterogeneous
Environments [54.172993875654015]
The paper proposes a family of communication efficient methods for distributed learning in heterogeneous environments.
One-shot approach, based on local computations at the users and a clustering based aggregation step at the server is shown to provide strong learning guarantees.
For strongly convex problems it is shown that, as long as the number of data points per user is above a threshold, the proposed approach achieves order-optimal mean-squared error rates in terms of the sample size.
arXiv Detail & Related papers (2022-09-22T09:04:10Z) - 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) - Very Compact Clusters with Structural Regularization via Similarity and
Connectivity [3.779514860341336]
We propose an end-to-end deep clustering algorithm, i.e., Very Compact Clusters (VCC) for the general datasets.
Our proposed approach achieves better clustering performance over most of the state-of-the-art clustering methods.
arXiv Detail & Related papers (2021-06-09T23:22:03Z) - Determinantal consensus clustering [77.34726150561087]
We propose the use of determinantal point processes or DPP for the random restart of clustering algorithms.
DPPs favor diversity of the center points within subsets.
We show through simulations that, contrary to DPP, this technique fails both to ensure diversity, and to obtain a good coverage of all data facets.
arXiv Detail & Related papers (2021-02-07T23:48:24Z) - A Multi-disciplinary Ensemble Algorithm for Clustering Heterogeneous
Datasets [0.76146285961466]
We propose a new evolutionary clustering algorithm (ECAStar) based on social class ranking and meta-heuristic algorithms.
ECAStar is integrated with recombinational evolutionary operators, Levy flight optimisation, and some statistical techniques.
Experiments are conducted to evaluate the ECAStar against five conventional approaches.
arXiv Detail & Related papers (2021-01-01T07:20:50Z) - 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) - 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) - 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.