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In mixture model-based clustering applications, it is common to fit several models from a family and report clustering results from only the `best' one. In such circumstances, selection of this best model is achieved using a model selection…

统计方法学 · 统计学 2017-10-09 Yuhong Wei , Paul D. McNicholas

We study the clustering problem for mixtures of bounded covariance distributions, under a fine-grained separation assumption. Specifically, given samples from a $k$-component mixture distribution $D = \sum_{i =1}^k w_i P_i$, where each $w_i…

机器学习 · 计算机科学 2023-12-20 Ilias Diakonikolas , Daniel M. Kane , Jasper C. H. Lee , Thanasis Pittas

Many real-life data are described by categorical attributes without a pre-classification. A common data mining method used to extract information from this type of data is clustering. This method group together the samples from the data…

机器学习 · 计算机科学 2014-07-30 Fabricio Olivetti de França

Clustering is one of the main tasks in exploratory data analysis and descriptive statistics where the main objective is partitioning observations in groups. Clustering has a broad range of application in varied domains like climate,…

数据库 · 计算机科学 2012-03-20 Saptarsi Goswami , Amlan Chakrabarti

We consider the problem of clustering misaligned curves. According to our similarity measure, two curves are considered similar if they have the same shape after being aligned, and the warping function does not differ from the identity…

统计方法学 · 统计学 2018-01-03 Yu-Hsiang Cheng , Tzee-Ming Huang , Su-Fen Yang

Traditionally, clustering algorithms focus on partitioning the data into groups of similar instances. The similarity objective, however, is not sufficient in applications where a fair-representation of the groups in terms of protected…

机器学习 · 计算机科学 2021-11-08 Tai Le Quy , Arjun Roy , Gunnar Friege , Eirini Ntoutsi

Distance metric learning algorithms aim to appropriately measure similarities and distances between data points. In the context of clustering, metric learning is typically applied with the assist of side-information provided by experts,…

机器学习 · 计算机科学 2021-05-27 Rodrigo Randel , Daniel Aloise , Alain Hertz

This paper studies the problem of learning clusters which are consistently present in different (continuously valued) representations of observed data. Our setup differs slightly from the standard approach of (co-) clustering as we use the…

机器学习 · 统计学 2010-09-21 David R. Hardoon , Kristiaan Pelcksman

To improve confounder adjustments, observational studies are often matched on potential confounders. While matched case-control studies are common and well covered in the literature, our focus here is on matched cohort studies, which are…

There are many scenarios where we may want to find pairs of textually similar documents in a large corpus (e.g. a researcher doing literature review, or an R&D project manager analyzing project proposals). To programmatically discover those…

计算与语言 · 计算机科学 2020-12-16 Carlos Badenes-Olmedo , Jose-Luis Redondo García , Oscar Corcho

The study of algorithmic fairness received growing attention recently. This stems from the awareness that bias in the input data for machine learning systems may result in discriminatory outputs. For clustering tasks, one of the most…

机器学习 · 计算机科学 2023-02-23 Katrin Casel , Tobias Friedrich , Martin Schirneck , Simon Wietheger

This study addresses the problem of performing clustering in the presence of two types of background knowledge: pairwise constraints and monotonicity constraints. To achieve this, the formal framework to perform clustering under…

Clustering attempts to partition data instances into several distinctive groups, while the similarities among data belonging to the common partition can be principally reserved. Furthermore, incomplete data frequently occurs in many…

机器学习 · 计算机科学 2022-08-30 Miao Cheng , Xinge You

We present a technique for clustering categorical data by generating many dissimilarity matrices and averaging over them. We begin by demonstrating our technique on low dimensional categorical data and comparing it to several other…

机器学习 · 统计学 2017-09-20 Saeid Amiri , Bertrand Clarke , Jennifer Clarke

A novel approach rooted on the notion of consensus clustering, a strategy developed for community detection in complex networks, is proposed to cope with the heterogeneity that characterizes connectivity matrices in health and disease. The…

神经元与认知 · 定量生物学 2017-05-09 Javier Rasero , Mario Pellicoro , Leonardo Angelini , Jesus M. Cortes , Daniele Marinazzo , Sebastiano Stramaglia

The task of clustering a set of objects based on multiple sources of data arises in several modern applications. We propose an integrative statistical model that permits a separate clustering of the objects for each data source. These…

机器学习 · 统计学 2015-12-01 Eric F. Lock , David B. Dunson

Clustering methods group a set of data points into a few coherent groups or clusters of similar data points. As an example, consider clustering pixels in an image (or video) if they belong to the same object. Different clustering methods…

机器学习 · 计算机科学 2019-12-11 Alexander Jung , Ivan Baranov

Correlation clustering is a ubiquitous paradigm in unsupervised machine learning where addressing unfairness is a major challenge. Motivated by this, we study Fair Correlation Clustering where the data points may belong to different…

机器学习 · 计算机科学 2022-06-13 Sara Ahmadian , Maryam Negahbani

Gathering training data is a key step of any supervised learning task, and it is both critical and expensive. Critical, because the quantity and quality of the training data has a high impact on the performance of the learned function.…

数据结构与算法 · 计算机科学 2021-10-28 Quentin Lutz , Élie de Panafieu , Alex Scott , Maya Stein

A network has a non-overlapping community structure if the nodes of the network can be partitioned into disjoint sets such that each node in a set is densely connected to other nodes inside the set and sparsely connected to the nodes out-…

社会与信息网络 · 计算机科学 2016-07-19 Talasila Sai Deepak , Hindol Adhya , Shyamal Kejriwal , Bhanuteja Gullapalli , Saswata Shannigrahi