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The one-dimensional pair contact process with a particle source is studied by using dynamical cluster mean-field approximations with sites up to $n=12$. The results obtained for different levels of approximation become convergent especially…

统计力学 · 物理学 2009-11-07 Attila Szolnoki

Changepoint localization is the problem of estimating the index at which a change occurred in the data generating distribution of an ordered list of data, or declaring that no change occurred. We present the broadly applicable MCP…

统计理论 · 数学 2026-02-20 Sanjit Dandapanthula , Aaditya Ramdas

We study the fundamental problem of clustering $n$ points into $K$ groups drawn from a mixture of isotropic Gaussians in $\mathbb{R}^d$. Specifically, we investigate the requisite minimal distance $\Delta$ between mean vectors to partially…

统计理论 · 数学 2026-02-27 Alexandra Carpentier , Nicolas Verzelen

In the Max-k-diameter problem, we are given a set of points in a metric space, and the goal is to partition the input points into k parts such that the maximum pairwise distance between points in the same part of the partition is minimized.…

计算几何 · 计算机科学 2024-04-08 Henry Fleischmann , Kyrylo Karlov , Karthik C. S. , Ashwin Padaki , Stepan Zharkov

The machine-part cell formation problem consists of creating machine cells and their corresponding part families with the objective of minimizing the inter-cell and intra-cell movement while maximizing the machine utilization. This article…

计算工程、金融与科学 · 计算机科学 2012-12-24 Tamal Ghosh , Pranab K Dan

Cluster analysis which focuses on the grouping and categorization of similar elements is widely used in various fields of research. Inspired by the phenomenon of atomic fission, a novel density-based clustering algorithm is proposed in this…

机器学习 · 计算机科学 2020-04-28 Shizhan Lu

The recent solution to the fermion sign problem allows, for the first time, the use of cluster algorithm techniques to compute certain fermionic path integrals. To illustrate the underlying ideas behind the progress, a cluster algorithm is…

高能物理 - 格点 · 物理学 2007-05-23 Shailesh Chandrasekharan

Accurate 3D modeling of human organs is critical for constructing digital phantoms in virtual imaging trials. However, organs such as the large intestine remain particularly challenging due to their complex geometry and shape variability.…

计算机视觉与模式识别 · 计算机科学 2025-10-16 Kaouther Mouheb , Mobina Ghojogh Nejad , Lavsen Dahal , Ehsan Samei , Kyle J. Lafata , W. Paul Segars , Joseph Y. Lo

Clustering is a NP-hard problem. Thus, no optimal algorithm exists, heuristics are applied to cluster the data. Heuristics can be very resource-intensive, if not applied properly. For substantially large data sets computational efficiencies…

数据库 · 计算机科学 2020-03-11 Mujahid Sultan

Breast cancer is a significant global health issue, and the diagnosis of breast cancer through imaging remains challenging. Mammography images are characterized by extremely high resolution, while lesions often occupy only a small portion…

组织与器官 · 定量生物学 2025-07-28 Shilong Yang , Chulong Zhang , Xiaokun Liang , Qi Zang , Juan Yu , Liang Zeng , Xiao Luo , Yexuan Xing , Xin Pan , Qi Li , Linlin Shen , Yaoqin Xie

This paper introduces a new clustering technique, called {\em dimensional clustering}, which clusters each data point by its latent {\em pointwise dimension}, which is a measure of the dimensionality of the data set local to that point.…

机器学习 · 统计学 2018-05-29 Shohei Hidaka , Neeraj Kashyap

Co-clustering, that is, partitioning a numerical matrix into homogeneous submatrices, has many applications ranging from bioinformatics to election analysis. Many interesting variants of co-clustering are NP-hard. We focus on the basic…

离散数学 · 计算机科学 2019-06-17 Laurent Bulteau , Vincent Froese , Sepp Hartung , Rolf Niedermeier

In this paper we consider two metric covering/clustering problems - \textit{Minimum Cost Covering Problem} (MCC) and $k$-clustering. In the MCC problem, we are given two point sets $X$ (clients) and $Y$ (servers), and a metric on $X \cup…

计算几何 · 计算机科学 2016-10-05 Sayan Bandyapadhyay , Kasturi Varadarajan

Unsupervised clustering of wafer map defect patterns is challenging because the appearance of certain defect patterns varies significantly. This includes changing shape, location, density, and rotation of the defect area on the wafer. We…

计算机视觉与模式识别 · 计算机科学 2024-04-25 Alina Pleli , Simon Baeuerle , Michel Janus , Jonas Barth , Ralf Mikut , Hendrik P. A. Lensch

Micro-panel data are collected and analysed in many research and industry areas. Cluster analysis of micro-panel data is an unsupervised learning exploratory method identifying subgroup clusters in a data set which include homogeneous…

机器学习 · 统计学 2018-07-17 Lukas Sobisek , Maria Stachova , Jan Fojtik

This paper addresses the problem of clustering measurement vectors that are heteroscedastic in that they can have different covariance matrices. From the assumption that the measurement vectors within a given cluster are Gaussian…

机器学习 · 统计学 2026-04-03 Dominique Pastor , Elsa Dupraz , Ismail Hbilou , Guillaume Ansel

Nested sampling is an efficient algorithm for the calculation of the Bayesian evidence and posterior parameter probability distributions. It is based on the step-by-step exploration of the parameter space by Monte Carlo sampling with a…

统计计算 · 统计学 2024-01-30 M. Trassinelli , Pierre Ciccodicola

In this paper, we present a new approach for decomposing scan paths and its utility for generating new scan paths. For this purpose, we use the K-Means clustering procedure to the raw gaze data and subsequently iteratively to find more…

图形学 · 计算机科学 2022-01-21 Wolfgang Fuhl

This paper proposes a hierarchical clustering approach for the segmentation of mobile LiDAR point clouds. We perform the hierarchical clustering on unorganized point clouds based on a proximity matrix. The dissimilarity measure in the…

计算机视觉与模式识别 · 计算机科学 2019-06-12 Sheng Xu , Ruisheng Wang , Han Zheng

Phase transitions are uncommon among homogenous one-dimensional fluids of classical particles owing to a general non-existence result due to van Hove. A way to circumvent van Hove's theorem is to consider an interparticle potential that is…

软凝聚态物质 · 物理学 2014-10-29 S. Prestipino