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A tensor provides a concise way to codify the interdependence of complex data. Treating a tensor as a d-way array, each entry records the interaction between the different indices. Clustering provides a way to parse the complexity of the…

机器学习 · 计算机科学 2020-05-26 Derek DeSantis , Phillip J. Wolfram , Katrina Bennett , Boian Alexandrov

We extend the single-site coherent potential approximation (CPA) to include the effects of non-local disorder correlations (alloy short-range order) on the electronic structure of random alloy systems. This is achieved by mapping the…

强关联电子 · 物理学 2009-11-10 M. S. Laad , L. Craco

Geostatistics is a branch of statistics concerned with stochastic processes over continuous domains, with Gaussian processes (GPs) providing a flexible and principled modelling framework. However, the high computational cost of simulating…

统计计算 · 统计学 2026-03-20 Flávio B. Gonçalves , Marcos O. Prates , Gareth O. Roberts

We present exact and asymptotic results for clusters in the one-dimensional totally asymmetric exclusion process (TASEP) with two different dynamics. The expected length of the largest cluster is shown to diverge logarithmically with…

统计力学 · 物理学 2009-11-07 O. Pulkkinen , J. Merikoski

Galaxy clusters are the largest gravitationally bound systems, and they continue their growth through mergers in a hierarchical {\Lambda}CDM Universe. Therefore, we can describe the merger stage of a cluster as the dynamical state of…

宇宙学与河外天体物理 · 物理学 2026-03-12 Hyowon Kim , Marco Canducci , Rory Smith , Peter Tino , Yara Jaffe , Ho Seong Hwang , Jihye Shin , Kyungwon Chun

We present a novel matrix-parametrized frugal splitting algorithm which finds the zero of a sum of maximal monotone and cocoercive operators composed with linear selection operators. We also develop a semidefinite programming framework for…

最优化与控制 · 数学 2025-07-29 Peter Barkley , Robert L. Bassett

We present an alternating least squares type numerical optimization scheme to estimate conditionally-independent mixture models in $\mathbb{R}^n$, without parameterizing the distributions. Following the method of moments, we tackle an…

数值分析 · 数学 2023-08-09 Yifan Zhang , Joe Kileel

We study the percolation properties of the growing clusters model. In this model, a number of seeds placed on random locations on a lattice are allowed to grow with a constant velocity to form clusters. When two or more clusters eventually…

统计力学 · 物理学 2015-05-18 Nikolaos Tsakiris , Michail Maragakis , Kosmas Kosmidis , Panos Argyrakis

In this paper, we study a conjugate gradient method for electronic structure calculations. We propose a Hessian based step size strategy, which together with three orthogonality approaches yields three algorithms for computing the ground…

数值分析 · 数学 2017-08-30 Xiaoying Dai , Zhuang Liu , Liwei Zhang , Aihui Zhou

Gain-dissipative platforms consisting of lasers, optical parametric oscillators and nonequilibrium condensates operating at the condensation/coherence threshold have been recently proposed as efficient analog simulators of 2-local spin…

无序系统与神经网络 · 物理学 2021-02-10 Nikita Stroev , Natalia G. Berloff

We study the gravitational stability of gaseous streams in the complex environment of a galaxy merger, because mergers are known to be places of ongoing massive cluster formation and bursts of star formation. We find an analytic stability…

宇宙学与河外天体物理 · 物理学 2015-06-04 Andres Escala , Fernando Becerra , Luciano del Valle , Esteban Castillo

Large deviations for additive path functionals of stochastic processes have attracted significant research interest, in particular in the context of stochastic particle systems and statistical physics. Efficient numerical `cloning'…

概率论 · 数学 2021-07-21 Letizia Angeli , Stefan Grosskinsky , Adam M. Johansen

We present a general strategy to extend quantum cluster algorithms for S=1/2 spin systems, such as the loop algorithm, to systems with arbitrary size of spins. In general, the partition function of a high-S spin system is represented in…

统计力学 · 物理学 2009-10-31 Synge Todo , Kiyoshi Kato

We investigate the aggregation kinetics of a simulated telechelic polymer gel. In the hybrid Molecular Dynamics (MD) / Monte Carlo (MC) algorithm, aggregates of associating end groups form and break according to MC rules, while the position…

软凝聚态物质 · 物理学 2013-05-29 Mark Wilson , Avinoam Rabinovitch , Arlette R. C. Baljon

This paper describes an algorithm for selecting parameter values (e.g. temperature values) at which to measure equilibrium properties with Parallel Tempering Monte Carlo simulation. Simple approaches to choosing parameter values can lead to…

其他凝聚态物理 · 物理学 2015-05-18 Firas Hamze , Neil Dickson , Kamran Karimi

Mixtures of Gaussian factors are powerful tools for modeling an unobserved heterogeneous population, offering - at the same time - dimension reduction and model-based clustering. Unfortunately, the high prevalence of spurious solutions and…

统计方法学 · 统计学 2016-08-08 L. A. García-Escudero , A. Gordaliza , F. Greselin , S. Ingrassia , A. Mayo-Iscar

Determining the number of clusters is a fundamental issue in data clustering. Several algorithms have been proposed, including centroid-based algorithms using the Euclidean distance and model-based algorithms using a mixture of probability…

机器学习 · 计算机科学 2024-07-30 Ryosuke Motegi , Yoichi Seki

Using statistical learning methods to analyze stochastic simulation outputs can significantly enhance decision-making by uncovering relationships between different simulated systems and between a system's inputs and outputs. We focus on…

统计方法学 · 统计学 2026-05-28 Mohammadmahdi Ghasemloo , David J. Eckman

Twist grain boundaries are widely observed in lamellar phases of block copolymers. A mesoscopic model of the copolymer is used to obtain stationary configurations that include a twist grain boundary, and to analyze their stability against…

软凝聚态物质 · 物理学 2008-04-15 Xusheng Zhang , Zhi-Feng Huang , Jorge Viñals

Linear rate equations are used to describe the cascading decay of an initial heavy cluster into fragments. We consider moments of arbitrary orders of the mass multiplicity spectrum and derive scaling properties pertaining to their time…

核理论 · 物理学 2008-11-26 B. G. Giraud , R. Peschanski