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We introduce a cluster evaluation technique called Tree Index. Our Tree Index algorithm aims at describing the structural information of the clustering rather than the quantitative format of cluster-quality indexes (where the representation…

机器学习 · 计算机科学 2020-03-25 A. H. Beg , Md Zahidul Islam , Vladimir Estivill-Castro

Choi et. al (2011) introduced a minimum spanning tree (MST)-based method called CLGrouping, for constructing tree-structured probabilistic graphical models, a statistical framework that is commonly used for inferring phylogenetic trees.…

组合数学 · 数学 2017-01-12 Prabhav Kalaghatgi , Thomas Lengauer

A probabilistic clustering algorithm is proposed for the analysis of forensic DNA mixtures in which individual cells are isolated and short tandem repeats are amplified using the polymerase chain reaction to generate single cell…

应用统计 · 统计学 2025-10-14 Robert G. Cowell

One of the main challenges for hierarchical clustering is how to appropriately identify the representative points in the lower level of the cluster tree, which are going to be utilized as the roots in the higher level of the cluster tree…

机器学习 · 统计学 2021-11-16 Wen-Bo Xie , Zhen Liu , Jaideep Srivastava

We present a coupled cluster and linear response theory to compute properties of many-electron systems at non-zero temperatures. For this purpose, we make use of the thermofield dynamics, which allows for a compact wavefunction…

化学物理 · 物理学 2020-05-14 Gaurav Harsha , Thomas M. Henderson , Gustavo E. Scuseria

We present a novel approach for finding and evaluating structural models of small metallic nanoparticles. Rather than fitting a single model with many degrees of freedom, the approach algorithmically builds libraries of nanoparticle…

We derive and implement a new way of solving coupled cluster equations with lower computational scaling. Our method is based on decomposition of both amplitudes and two electron integrals, using a combination of tensor hypercontraction and…

化学物理 · 物理学 2020-05-14 Roman Schutski , Jinmo Zhao , Thomas M. Henderson , Gustavo E. Scuseria

The reconstruction of the signal from hadrons and jets emerging from the proton-proton collisions at the Large Hadron Collider (LHC) and entering the ATLAS calorimeters is based on a three-dimensional topological clustering of individual…

高能物理 - 实验 · 物理学 2017-08-24 ATLAS Collaboration

Standard agglomerative clustering suggests establishing a new reliable linkage at every step. However, in order to provide adaptive, density-consistent and flexible solutions, we study extracting all the reliable linkages at each step,…

机器学习 · 计算机科学 2023-01-02 Morteza Haghir Chehreghani

We parallelize several previously proposed algorithms for the minimum routing cost spanning tree problem and some related problems.

数据结构与算法 · 计算机科学 2007-07-04 Ching-Lueh Chang , Yuh-Dauh Lyuu

Intermittent renewable energy resources like wind and solar pose great uncertainty of multiple time scales, from minutes to years, on the design and operation of power systems. Energy system optimization models have been developed to find…

最优化与控制 · 数学 2022-04-27 Yuheng Zhang , Vivian Cheng , Dharik S. Mallapragada , Jie Song , Guannan He

Clustering algorithms are of fundamental importance when dealing with large unstructured datasets and discovering new patterns and correlations therein, with applications ranging from scientific research to medical imaging and marketing…

量子物理 · 物理学 2023-02-10 Duarte Magano , Lorenzo Buffoni , Yasser Omar

Clustering is a technique for the analysis of datasets obtained by empirical studies in several disciplines with a major application for biomedical research. Essentially, clustering algorithms are executed by machines aiming at finding…

定量方法 · 定量生物学 2024-09-30 Diego Ulisse Pizzagalli , Santiago Fernandez Gonzalez , Rolf Krause

In this work, we introduce a novel methodology for divisive hierarchical clustering. Our divisive (``top-down'') approach is motivated by the fact that agglomerative hierarchical clustering (``bottom-up''), which is commonly used for…

统计方法学 · 统计学 2025-10-07 Jan O. Bauer

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

We propose a novel clustering method that is based on physical intuition derived from quantum mechanics. Starting with given data points, we construct a scale-space probability function. Viewing the latter as the lowest eigenstate of a…

数据分析、统计与概率 · 物理学 2007-05-23 David Horn , Assaf Gottlieb

The article addresses balanced clustering problems with an additional requirement as a tree-like structure over the obtained balanced clusters. This kind of clustering problems can be useful in some applications (e.g., network design,…

数据结构与算法 · 计算机科学 2018-12-11 Mark Sh. Levin

Finding a minimum spanning tree (MST) for $n$ points in an arbitrary metric space is a fundamental primitive for hierarchical clustering and many other ML tasks, but this takes $\Omega(n^2)$ time to even approximate. We introduce a…

数据结构与算法 · 计算机科学 2025-02-19 Nate Veldt , Thomas Stanley , Benjamin W. Priest , Trevor Steil , Keita Iwabuchi , T. S. Jayram , Geoffrey Sanders

This paper describes a control approach for large-scale electricity networks, with the goal of efficiently coordinating distributed generators to balance unexpected load variations with respect to nominal forecasts. To mitigate the…

系统与控制 · 电气工程与系统科学 2020-04-30 Alessio La Bella , Pascal Klaus , Giancarlo Ferrari-Trecate , Riccardo Scattolini

Increased deployment of residential smart meters has made it possible to record energy consumption data on short intervals. These data, if used efficiently, carry valuable information for managing power demand and increasing energy…

其他计算机科学 · 计算机科学 2019-03-05 Nameer Al Khafaf , Mahdi Jalili , Peter Sokolowski