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The quality of machine learning models depends heavily on their training data. Selecting high-quality, diverse training sets for large language models (LLMs) is a difficult task, due to the lack of cheap and reliable quality metrics. While…

机器学习 · 计算机科学 2026-01-30 Robert Istvan Busa-Fekete , Julian Zimmert , Anne Xiangyi Zheng , Claudio Gentile , Andras Gyorgy

Biclustering, also known as co-clustering or two-way clustering, simultaneously partitions the rows and columns of a data matrix to reveal submatrices with coherent patterns. Incorporating background knowledge into clustering to enhance…

最优化与控制 · 数学 2026-02-24 Antonio M. Sudoso

This work proposes a hierarchical clustering algorithm for high-dimensional datasets using the cyclic space of reversible finite cellular automata. In cellular automaton (CA) based clustering, if two objects belong to the same cycle, they…

形式语言与自动机理论 · 计算机科学 2024-08-06 Baby C. J. , Kamalika Bhattacharjee

We present an approach to model-based hierarchical clustering by formulating an objective function based on a Bayesian analysis. This model organizes the data into a cluster hierarchy while specifying a complex feature-set partitioning that…

机器学习 · 计算机科学 2013-01-18 Shivakumar Vaithyanathan , Byron E Dom

Hierarchical Agglomerative Clustering (HAC) is an extensively studied and widely used method for hierarchical clustering in $\mathbb{R}^k$ based on repeatedly merging the closest pair of clusters according to an input linkage function $d$.…

Single-level density-based approach has long been widely acknowledged to be a conceptually and mathematically convincing clustering method. In this paper, we propose an algorithm called "best-scored clustering forest" that can obtain the…

机器学习 · 统计学 2019-06-25 Hanyuan Hang , Yuchao Cai , Hanfang Yang

The time needed to apply a hierarchical clustering algorithm is most often dominated by the number of computations of a pairwise dissimilarity measure. Such a constraint, for larger data sets, puts at a disadvantage the use of all the…

机器学习 · 计算机科学 2022-09-14 Marek Gagolewski , Maciej Bartoszuk , Anna Cena

Clustering is a popular form of unsupervised learning for geometric data. Unfortunately, many clustering algorithms lead to cluster assignments that are hard to explain, partially because they depend on all the features of the data in a…

机器学习 · 计算机科学 2020-09-23 Sanjoy Dasgupta , Nave Frost , Michal Moshkovitz , Cyrus Rashtchian

Hierarchical clustering (HC) algorithms are generally limited to small data instances due to their runtime costs. Here we mitigate this shortcoming and explore fast HC algorithms based on random projections for single (SLC) and average…

信息检索 · 计算机科学 2014-01-24 Johannes Schneider , Michail Vlachos

Complex systems are usually represented as an intricate set of relations between their components forming a complex graph or network. The understanding of their functioning and emergent properties are strongly related to their structural…

数据分析、统计与概率 · 物理学 2014-01-08 Sergio Gomez , Alberto Fernandez , Clara Granell , Alex Arenas

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

Network clustering reveals the organization of a network or corresponding complex system with elements represented as vertices and interactions as edges in a (directed, weighted) graph. Although the notion of clustering can be somewhat…

机器学习 · 统计学 2017-11-15 Yongjin Park , Joel S. Bader

Forecast reconciliation has attracted significant research interest in recent years, with most studies taking the hierarchy of time series as given. We extend existing work that uses time series clustering to construct hierarchies, with the…

统计方法学 · 统计学 2024-09-10 Bohan Zhang , Anastasios Panagiotelis , Han Li

For a density $f$ on ${\mathbb R}^d$, a {\it high-density cluster} is any connected component of $\{x: f(x) \geq \lambda\}$, for some $\lambda > 0$. The set of all high-density clusters forms a hierarchy called the {\it cluster tree} of…

机器学习 · 统计学 2014-06-09 Kamalika Chaudhuri , Sanjoy Dasgupta , Samory Kpotufe , Ulrike von Luxburg

The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

统计理论 · 数学 2023-11-07 Tabea Rebafka

A general scheme for divisive hierarchical clustering algorithms is proposed. It is made of three main steps : first a splitting procedure for the subdivision of clusters into two subclusters, second a local evaluation of the bipartitions…

数据结构与算法 · 计算机科学 2018-09-07 Maurice Roux

How to extract useful insights from data is always a challenge, especially if the data is multidimensional. Often, the data can be organized according to certain hierarchical structure that are stemmed either from data collection process or…

应用统计 · 统计学 2016-04-21 Kun Yang , Wing Hung Wong

Hierarchical clustering has been a popular method in various data analysis applications. It partitions a data set into a hierarchical collection of clusters, and can provide a global view of (cluster) structure behind data across different…

数据结构与算法 · 计算机科学 2018-12-19 Dingkang Wang , Yusu Wang

Hierarchy is one of the most conspicuous features of numerous natural, technological and social systems. The underlying structures are typically complex and their most relevant organizational principle is the ordering of the ties among the…

物理与社会 · 物理学 2014-03-05 Tamás Nepusz , Tamás Vicsek

Supervised hashing aims to map the original features to compact binary codes that are able to preserve label based similarity in the Hamming space. Non-linear hash functions have demonstrated the advantage over linear ones due to their…

计算机视觉与模式识别 · 计算机科学 2016-11-17 Guosheng Lin , Chunhua Shen , Qinfeng Shi , Anton van den Hengel , David Suter