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Suppose, we are given a set of $n$ elements to be clustered into $k$ (unknown) clusters, and an oracle/expert labeler that can interactively answer pair-wise queries of the form, "do two elements $u$ and $v$ belong to the same cluster?".…

机器学习 · 统计学 2017-06-26 Arya Mazumdar , Barna Saha

Semantic matching of natural language sentences or identifying the relationship between two sentences is a core research problem underlying many natural language tasks. Depending on whether training data is available, prior research has…

计算与语言 · 计算机科学 2018-03-02 Bang Liu , Ting Zhang , Fred X. Han , Di Niu , Kunfeng Lai , Yu Xu

Center-based clustering (e.g., $k$-means, $k$-medians) and clustering using linear subspaces are two most popular techniques to partition real-world data into smaller clusters. However, when the data consists of sensitive demographic…

机器学习 · 计算机科学 2022-08-23 Sruthi Gorantla , Kishen N. Gowda , Amit Deshpande , Anand Louis

Spectral clustering is one of the most prominent clustering approaches. The distance-based similarity is the most widely used method for spectral clustering. However, people have already noticed that this is not suitable for multi-scale…

机器学习 · 计算机科学 2020-09-11 Hengrui Wang , Yubo Zhang , Mingzhi Chen , Tong Yang

In many real-world problems, we are dealing with collections of high-dimensional data, such as images, videos, text and web documents, DNA microarray data, and more. Often, high-dimensional data lie close to low-dimensional structures…

计算机视觉与模式识别 · 计算机科学 2013-02-06 Ehsan Elhamifar , Rene Vidal

One important tool is the optimal clustering of data into useful categories. Dividing similar objects into a smaller number of clusters is of importance in many applications. These include search engines, monitoring of academic performance,…

分布式、并行与集群计算 · 计算机科学 2017-09-21 Gavriel Yarmish , Philip Listowsky , Simon Dexter

Efficient extraction of useful knowledge from these data is still a challenge, mainly when the data is distributed, heterogeneous and of different quality depending on its corresponding local infrastructure. To reduce the overhead cost,…

数据库 · 计算机科学 2017-04-17 Nhien-An Le-Khac , M-Tahar Kechadi

Hierarchical clustering based on pairwise similarities is a common tool used in a broad range of scientific applications. However, in many problems it may be expensive to obtain or compute similarities between the items to be clustered.…

信息论 · 计算机科学 2015-03-19 Brian Eriksson , Gautam Dasarathy , Aarti Singh , Robert Nowak

Clustering a lexicon of words is a well-studied problem in natural language processing (NLP). Word clusters are used to deal with sparse data in statistical language processing, as well as features for solving various NLP tasks (text…

计算与语言 · 计算机科学 2018-08-17 Effi Levi , Saggy Herman , Ari Rappoport

Hierarchical clustering is a stronger extension of one of today's most influential unsupervised learning methods: clustering. The goal of this method is to create a hierarchy of clusters, thus constructing cluster evolutionary history and…

数据结构与算法 · 计算机科学 2021-01-14 MohammadTaghi Hajiaghayi , Marina Knittel

We present an empirical analysis of data structures for approximate nearest neighbor searching. We compare the well-known optimized kd-tree splitting method against two alternative splitting methods. The first, called the sliding-midpoint…

计算几何 · 计算机科学 2007-05-23 Songrit Maneewongvatana , David M. Mount

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)…

无序系统与神经网络 · 物理学 2007-05-23 D. Volk , M. G. Stepanov

Clustering is a fundamental analysis tool aiming at classifying data points into groups based on their similarity or distance. It has found successful applications in all natural and social sciences, including biology, physics, economics,…

信息检索 · 计算机科学 2021-02-24 Wen-Bo Xie , Yan-Li Lee , Cong Wang , Duan-Bing Chen , Tao Zhou

This study is to review the approaches used for measuring sentences similarity. Measuring similarity between natural language sentences is a crucial task for many Natural Language Processing applications such as text classification,…

计算与语言 · 计算机科学 2019-10-10 Mamdouh Farouk

We describe and experimentally evaluate a method for automatically clustering words according to their distribution in particular syntactic contexts. Deterministic annealing is used to find lowest distortion sets of clusters. As the…

cmp-lg · 计算机科学 2008-02-03 Fernando Pereira , Naftali Tishby , Lillian Lee

We introduce two different approaches for clustering semantically similar words. We accommodate ambiguity by allowing a word to belong to several clusters. Both methods use a graph-theoretic representation of words and their paradigmatic…

其他凝聚态物理 · 物理学 2009-09-29 Beate Dorow , Dominic Widdows , Katarina Ling , Jean-Pierre Eckmann , Danilo Sergi , Elisha Moses

Text clustering holds significant value across various domains due to its ability to identify patterns and group related information. Current approaches which rely heavily on a computed similarity measure between documents are often limited…

信息检索 · 计算机科学 2025-04-09 Laurence Hirsch , Robin Hirsch , Bayode Ogunleye

Several methods have been proposed to estimate the number of clusters in a dataset; the basic ideal behind all of them has been to study an index that measures inter-cluster separation and intra-cluster cohesion over a range of cluster…

计算机视觉与模式识别 · 计算机科学 2016-01-12 Bhaskar Mukhoty , Ruchir Gupta , Y. N. Singh

Clustering is an underspecified task: there are no universal criteria for what makes a good clustering. This is especially true for relational data, where similarity can be based on the features of individuals, the relationships between…

机器学习 · 统计学 2017-09-29 Sebastijan Dumancic , Hendrik Blockeel

Similarity search (nearest neighbor search) is a problem of pursuing the data items whose distances to a query item are the smallest from a large database. Various methods have been developed to address this problem, and recently a lot of…

数据结构与算法 · 计算机科学 2014-08-14 Jingdong Wang , Heng Tao Shen , Jingkuan Song , Jianqiu Ji