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We study clustering on graphs with multiple edge types. Our main motivation is that similarities between objects can be measured in many different metrics. For instance similarity between two papers can be based on common authors, where…

社会与信息网络 · 计算机科学 2011-09-09 Matthew Rocklin , Ali Pinar

This paper proposes a clustering and merging approach for the Poisson multi-Bernoulli mixture (PMBM) filter to lower its computational complexity and make it suitable for multiple target tracking with a high number of targets. We define a…

信号处理 · 电气工程与系统科学 2024-09-16 Marco Fontana , Ángel F. García-Fernández , Simon Maskell

A relational dataset is often analyzed by optimally assigning a label to each element through clustering or ordering. While similar characterizations of a dataset would be achieved by both clustering and ordering methods, the former has…

机器学习 · 计算机科学 2023-04-10 Tatsuro Kawamoto , Masaki Ochi , Teruyoshi Kobayashi

Consensus clustering fuses diverse basic partitions (i.e., clustering results obtained from conventional clustering methods) into an integrated one, which has attracted increasing attention in both academic and industrial areas due to its…

机器学习 · 计算机科学 2019-06-04 Hongfu Liu , Zhiqiang Tao , Zhengming Ding

Two novel measurement-based, quantum clustering algorithms are proposed based on quantum parallelism and entanglement. The first algorithm follows a divisive approach. The second algorithm is based on unsharp measurements, where we…

量子物理 · 物理学 2024-08-09 Srushti Patil , Shreya Banerjee , Prasanta K. Panigrahi

In this paper, we investigate Gaussian process regression models where inputs are subject to measurement error. In spatial statistics, input measurement errors occur when the geographical locations of observed data are not known exactly.…

统计方法学 · 统计学 2015-06-30 Daniel Cervone , Natesh S. Pillai

Until now, systematic errors in strong gravitational lens modeling have been acknowledged but never been fully quantified. Here, we launch an investigation into the systematics induced by constraint selection. We model the simulated cluster…

宇宙学与河外天体物理 · 物理学 2016-11-21 Traci L. Johnson , Keren Sharon

Clustering analysis, a classical issue in data mining, is widely used in various research areas. This article aims at proposing a self-adaption grey DBSCAN clustering (SAG-DBSCAN) algorithm. First, the grey relational matrix is used to…

机器学习 · 计算机科学 2019-12-30 Shizhan Lu

We investigate clustering properties of dark matter halos and galaxies to search for optimal statistics and scales where possible departures from general relativity (GR) could be found. We use large N-body cosmological simulations to…

宇宙学与河外天体物理 · 物理学 2021-05-26 Jorge Enrique García-Farieta , Wojciech A. Hellwing , Suhani Gupta , Maciej Bilicki

In many contexts Gaussian Mixtures (GM) are used to approximate probability distributions, possibly time-varying. In some applications the number of GM components exponentially increases over time, and reduction procedures are required to…

机器学习 · 统计学 2021-04-27 A. D'Ortenzio , C. Manes

Estimation of parameters in physical processes often demands costly measurements, prompting the pursuit of an optimal measurement strategy. Finding such strategy is termed the problem of optimal experimental design, abbreviated as optimal…

统计理论 · 数学 2025-01-07 Yair Daon

This paper considers a network of sensors without fusion center that may be difficult to set up in applications involving sensors embedded on autonomous drones or robots. In this context, this paper considers that the sensors must perform a…

统计理论 · 数学 2017-06-13 Dominique Pastor , Elsa Dupraz , François-Xavier Socheleau

We address general-shaped clustering problems under very weak parametric assumptions with a two-step hybrid robust clustering algorithm based on trimmed k-means and hierarchical agglomeration. The algorithm has low computational complexity…

统计方法学 · 统计学 2022-01-19 Luca Insolia , Domenico Perrotta

In sensor networks, it is not always practical to set up a fusion center. Therefore, there is need for fully decentralized clustering algorithms. Decentralized clustering algorithms should minimize the amount of data exchanged between…

机器学习 · 统计学 2018-07-13 Elsa Dupraz , Dominique Pastor , François-Xavier Socheleau

The $k$-means algorithm is arguably the most popular nonparametric clustering method but cannot generally be applied to datasets with incomplete records. The usual practice then is to either impute missing values under an assumed…

机器学习 · 统计学 2018-09-11 Andrew Lithio , Ranjan Maitra

We discuss topological aspects of cluster analysis and show that inferring the topological structure of a dataset before clustering it can considerably enhance cluster detection: theoretical arguments and empirical evidence show that…

机器学习 · 计算机科学 2022-07-04 Moritz Herrmann , Daniyal Kazempour , Fabian Scheipl , Peer Kröger

Galaxy clusters are a recent cosmological probe. The precision and accuracy of the cosmological parameters inferred from these objects are affected by the knowledge of cluster physics, entering the analysis through the mass-observable…

宇宙学与河外天体物理 · 物理学 2020-10-28 Laura Salvati , Marian Douspis , Nabila Aghanim

Cluster analysis methods seek to partition a data set into homogeneous subgroups. It is useful in a wide variety of applications, including document processing and modern genetics. Conventional clustering methods are unsupervised, meaning…

统计方法学 · 统计学 2014-07-11 Eric Bair

Gaussian Mixture Models are one of the most studied and mature models in unsupervised learning. However, outliers are often present in the data and could influence the cluster estimation. In this paper, we study a new model that assumes…

机器学习 · 统计学 2020-03-24 Sida Liu , Adrian Barbu

In many statistical linear inverse problems, one needs to recover classes of similar curves from their noisy images under an operator that does not have a bounded inverse. Problems of this kind appear in many areas of application.…

统计理论 · 数学 2020-03-24 Rasika Rajapakshage , Marianna Pensky