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Topic models provide a useful tool to organize and understand the structure of large corpora of text documents, in particular, to discover hidden thematic structure. Clustering documents from big unstructured corpora into topics is an…

Statistics Theory · Mathematics 2021-07-09 Olga Klopp , Maxim Panov , Suzanne Sigalla , Alexandre Tsybakov

In several application domains, high-dimensional observations are collected and then analysed in search for naturally occurring data clusters which might provide further insights about the nature of the problem. In this paper we describe a…

Machine Learning · Statistics 2012-03-07 Brian McWilliams , Giovanni Montana

Unsupervised clustering algorithm can effectively reduce the dimension of high-dimensional unlabeled data, thus reducing the time and space complexity of data processing. However, the traditional clustering algorithm needs to set the upper…

Machine Learning · Computer Science 2022-01-17 Zecang Gu , Xiaoqi Sun , Yuan Sun , Fuquan Zhang

Clustering is a NP-hard problem. Thus, no optimal algorithm exists, heuristics are applied to cluster the data. Heuristics can be very resource-intensive, if not applied properly. For substantially large data sets computational efficiencies…

Databases · Computer Science 2020-03-11 Mujahid Sultan

We study here the semi-supervised $k$-clustering problem where information is available on whether pairs of objects are in the same or in different clusters. This information is either available with certainty or with a limited level of…

Machine Learning · Computer Science 2024-10-21 Philipp Baumann , Dorit S. Hochbaum

Importance of document clustering is now widely acknowledged by researchers for better management, smart navigation, efficient filtering, and concise summarization of large collection of documents like World Wide Web (WWW). The next…

Information Retrieval · Computer Science 2011-12-30 Muhammad Rafi , M. Shahid Shaikh , Amir Farooq

We compare the performance of different clustering algorithms applied to the task of unsupervised text categorization. We consider agglomerative clustering algorithms, principal direction divisive partitioning and (for the first time)…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. Volk , M. G. Stepanov

Clustering analysis is of substantial significance for data mining. The properties of big data raise higher demand for more efficient and economical distributed clustering methods. However, existing distributed clustering methods mainly…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-03 Yifeng Xiao , Jiang Xue , Deyu Meng

We address the problem of clustering words (or constructing a thesaurus) based on co-occurrence data, and using the acquired word classes to improve the accuracy of syntactic disambiguation. We view this problem as that of estimating a…

cmp-lg · Computer Science 2007-05-23 Hang Li , Naoki Abe

This paper illustrates the Principal Direction Divisive Partitioning (PDDP) algorithm and describes its drawbacks and introduces a combinatorial framework of the Principal Direction Divisive Partitioning (PDDP) algorithm, then describes the…

Information Retrieval · Computer Science 2010-04-13 P. J. Gayathri , S. C. Punitha , M. Punithavalli

We develop necessary and sufficient conditions and a novel provably consistent and efficient algorithm for discovering topics (latent factors) from observations (documents) that are realized from a probabilistic mixture of shared latent…

Machine Learning · Computer Science 2015-12-07 Weicong Ding , Prakash Ishwar , Venkatesh Saligrama

We present {\em generative clustering} (GC) for clustering a set of documents, $\mathrm{X}$, by using texts $\mathrm{Y}$ generated by large language models (LLMs) instead of by clustering the original documents $\mathrm{X}$. Because LLMs…

Machine Learning · Computer Science 2024-12-19 Xin Du , Kumiko Tanaka-Ishii

We address the problem of automatically constructing a thesaurus (hierarchically clustering words) based on corpus data. We view the problem of clustering words as that of estimating a joint distribution over the Cartesian product of a…

cmp-lg · Computer Science 2008-02-03 Hang Li , Naoki Abe

In the past few years co-clustering has emerged as an important data mining tool for two way data analysis. Co-clustering is more advantageous over traditional one dimensional clustering in many ways such as, ability to find highly…

Machine Learning · Computer Science 2014-12-02 Chandrima Sarkar , Jaideep Srivastava

This work demonstrates two Privacy Policy (PP) summarisation models based on two different clustering algorithms: K-means clustering and Pre-determined Centroid (PDC) clustering. K-means is decided to be used for the first model after an…

Computation and Language · Computer Science 2024-04-16 Chanwoo Choi

In recent years, research unveiled more and more evidence for the so-called Bayesian Brain Paradigm, i.e. the human brain is interpreted as a probabilistic inference machine and Bayesian modelling approaches are hence used successfully. One…

Neural and Evolutionary Computing · Computer Science 2019-04-30 Kevin Jasberg , Sergej Sizov

We develop a novel algorithm, Predictive Hierarchical Clustering (PHC), for agglomerative hierarchical clustering of current procedural terminology (CPT) codes. Our predictive hierarchical clustering aims to cluster subgroups, not…

Methodology · Statistics 2017-08-03 Elizabeth C. Lorenzi , Stephanie L. Brown , Zhifei Sun , Katherine Heller

Topic models are a useful analysis tool to uncover the underlying themes within document collections. The dominant approach is to use probabilistic topic models that posit a generative story, but in this paper we propose an alternative way…

Computation and Language · Computer Science 2020-10-08 Suzanna Sia , Ayush Dalmia , Sabrina J. Mielke

The community structure of complex networks reveals both their organization and hidden relationships among their constituents. Most community detection methods currently available are not deterministic, and their results typically depend on…

Physics and Society · Physics 2012-03-29 Andrea Lancichinetti , Santo Fortunato

We explore the geometrical interpretation of the PCA based clustering algorithm Principal Direction Divisive Partitioning (PDDP). We give several examples where this algorithm breaks down, and suggest a new method, gap partitioning, which…

Machine Learning · Statistics 2012-11-20 Ralph Abbey , Jeremy Diepenbrock , Amy Langville , Carl Meyer , Shaina Race , Dexin Zhou
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