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We develop an effective nonhierarchical data clustering method using an analogy to the dynamic coarse graining of a stochastic system. Analyzing the eigensystem of an interitem transition matrix identifies fuzzy clusters corresponding to…

数据分析、统计与概率 · 物理学 2009-11-10 Daniel Korenblum , David Shalloway

Recommender Systems (RS) pervade many aspects of our everyday digital life. Proposed to work at scale, state-of-the-art RS allow the modeling of thousands of interactions and facilitate highly individualized recommendations. Conceptually,…

Gradual pattern mining allows for extraction of attribute correlations through gradual rules such as: "the more X, the more Y". Such correlations are useful in identifying and isolating relationships among the attributes that may not be…

数据库 · 计算机科学 2021-06-29 Dickson Odhiambo Owuor

In semi-supervised fuzzy clustering, this paper extends the traditional pairwise constraint (i.e., must-link or cannot-link) to fuzzy pairwise constraint. The fuzzy pairwise constraint allows a supervisor to provide the grade of similarity…

机器学习 · 计算机科学 2021-11-23 Zhen Wang , Shan-Shan Wang , Lan Bai , Wen-Si Wang , Yuan-Hai Shao

The existence of large volumes of time series data in many applications has motivated data miners to investigate specialized methods for mining time series data. Clustering is a popular data mining method due to its powerful exploratory…

机器学习 · 计算机科学 2016-08-04 Fateme Fahiman , Jame C. Bezdek , Sarah M. Erfani , Christopher Leckie , Marimuthu Palaniswami

In a recent paper [1] we introduced the Fuzzy Bayesian Learning (FBL) paradigm where expert opinions can be encoded in the form of fuzzy rule bases and the hyper-parameters of the fuzzy sets can be learned from data using a Bayesian…

机器学习 · 统计学 2017-04-07 Indranil Pan , Dirk Bester

There are two notoriously hard problems in cluster analysis, estimating the number of clusters, and checking whether the population to be clustered is not actually homogeneous. Given a dataset, a clustering method and a cluster validation…

统计方法学 · 统计学 2015-02-10 Christian Hennig , Chien-Ju Lin

In many learning systems, such as activity recognition systems, as new data collection methods continue to emerge in various dynamic environmental applications, the attributes of instances accumulate incrementally, with data being stored in…

统计理论 · 数学 2026-03-24 Jing Zhang , Chenping Hou

Clustering is widely used in unsupervised learning to find homogeneous groups of observations within a dataset. However, clustering mixed-type data remains a challenge, as few existing approaches are suited for this task. This study…

机器学习 · 统计学 2025-11-26 Badih Ghattas , Alvaro Sanchez San-Benito

The fuzzy $K$-means problem is a generalization of the classical $K$-means problem to soft clusterings, i.e. clusterings where each points belongs to each cluster to some degree. Although popular in practice, prior to this work the fuzzy…

机器学习 · 计算机科学 2015-12-21 Johannes Blömer , Sascha Brauer , Kathrin Bujna

With the widespread use of machine learning to support decision-making, it is increasingly important to verify and understand the reasons why a particular output is produced. Although post-training feature importance approaches assist this…

The clustering ensemble technique aims to combine multiple clusterings into a probably better and more robust clustering and has been receiving an increasing attention in recent years. There are mainly two aspects of limitations in the…

机器学习 · 统计学 2016-06-06 Dong Huang , Jian-Huang Lai , Chang-Dong Wang

In this paper, we introduce a fundamental framework to create a bridge between Probability Theory and Fuzzy Logic. Indeed, our theory formulates a random experiment of selecting crisp elements with the criterion of having a certain fuzzy…

计算机科学中的逻辑 · 计算机科学 2022-05-31 Amir Saki , Usef Faghihi

Leukemia diagnosis and monitoring rely increasingly on high-throughput image data, yet conventional clustering methods lack the flexibility to accommodate evolving cellular patterns and quantify uncertainty in real time. We introduce…

机器学习 · 计算机科学 2025-12-01 Marco Aruta , Ciro Listone , Giuseppe Murano , Aniello Murano

Fixed effects models are very flexible because they do not make assumptions on the distribution of effects and can also be used if the heterogeneity component is correlated with explanatory variables. A disadvantage is the large number of…

统计方法学 · 统计学 2015-12-17 Moritz Berger , Gerhard Tutz

This research concerns the estimation of latent linear or polychoric correlations from fuzzy frequency tables. Fuzzy counts are of particular interest to many disciplines including social and behavioral sciences, and are especially relevant…

统计方法学 · 统计学 2022-11-22 Antonio Calcagnì

Covariate-adaptive randomization (CAR) procedures are frequently used in comparative studies to increase the covariate balance across treatment groups. However, because randomization inevitably uses the covariate information when forming…

统计理论 · 数学 2022-07-08 Wei Ma , Yichen Qin , Yang Li , Feifang Hu

Fuzzy Rule-Based Classification Systems (FRBCSs) have the potential to provide so-called interpretable classifiers, i.e. classifiers which can be introspective, understood, validated and augmented by human experts by relying on fuzzy-set…

人工智能 · 计算机科学 2016-07-22 Javier Navarro , Christian Wagner , Uwe Aickelin

Bayesian clustering typically relies on mixture models, with each component interpreted as a different cluster. After defining a prior for the component parameters and weights, Markov chain Monte Carlo (MCMC) algorithms are commonly used to…

统计方法学 · 统计学 2024-07-30 Alexander Dombowsky , David B. Dunson

Clustering algorithms are used extensively in data analysis for data exploration and discovery. Technological advancements lead to continually growth of data in terms of volume, dimensionality and complexity. This provides great…

机器学习 · 计算机科学 2024-02-20 Miles McCrory , Spencer A. Thomas