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We present a detailed description of the generalized geometric cluster algorithm for the efficient simulation of continuum fluids. The connection with well-known cluster algorithms for lattice spin models is discussed, and an explicit full…

统计力学 · 物理学 2009-11-11 Jiwen Liu , Erik Luijten

We introduce the Graph Mixture Density Networks, a new family of machine learning models that can fit multimodal output distributions conditioned on graphs of arbitrary topology. By combining ideas from mixture models and graph…

机器学习 · 计算机科学 2021-06-28 Federico Errica , Davide Bacciu , Alessio Micheli

Learning in deep models using Bayesian methods has generated significant attention recently. This is largely because of the feasibility of modern Bayesian methods to yield scalable learning and inference, while maintaining a measure of…

机器学习 · 统计学 2015-12-25 Chunyuan Li , Changyou Chen , Kai Fan , Lawrence Carin

Due to its heavy-tailed and fully parametric form, the multivariate generalized Gaussian distribution (MGGD) has been receiving much attention for modeling extreme events in signal and image processing applications. Considering the…

应用统计 · 统计学 2017-02-27 F. Pascal , L. Bombrun , J. Y. Tourneret , Y. Berthoumieu

A model involving Gaussian processes (GPs) is introduced to simultaneously handle multi-task learning, clustering, and prediction for multiple functional data. This procedure acts as a model-based clustering method for functional data as…

机器学习 · 计算机科学 2023-01-24 Arthur Leroy , Pierre Latouche , Benjamin Guedj , Servane Gey

The generalized divided differences are introduced. They are applied to investigate some properties characterizing generalized higher-order convexity. Among others some support-type property is proved.

泛函分析 · 数学 2008-07-28 Szymon Wasowicz

The polygonal distributions are a class of distributions that can be defined via the mixture of triangular distributions over the unit interval. The class includes the uniform and trapezoidal distributions, and is an alternative to the beta…

统计方法学 · 统计学 2017-01-18 Hien D Nguyen , Geoffrey J McLachlan

Motivated by two seminal models proposed to explain the Universe acceleration, this paper is devoted to study a hybrid model which is constructed through a generalized Chaplygin gas with the addition of a bulk viscosity. We call the model a…

宇宙学与河外天体物理 · 物理学 2021-04-05 A. Hernández-Almada , Miguel A. García-Aspeitia , M. A. Rodrírgues-Meza , V. Motta

Models for heteroskedastic data are relevant in a wide variety of applications ranging from financial time series to environmental statistics. However, the topic of modeling the variance function conditionally has not seen near as much…

统计方法学 · 统计学 2020-09-30 Paul A. Parker , Scott H. Holan , Skye A. Wills

Recent advances in engineering technologies have enabled the collection of a large number of longitudinal features. This wealth of information presents unique opportunities for researchers to investigate the complex nature of diseases and…

统计方法学 · 统计学 2023-11-27 Zihang Lu , Noirrit Kiran Chandra

This paper presents the constrained Hybrid Metaheuristic (cHM) algorithm as a general framework for continuous optimisation. Unlike many existing metaheuristics that are tailored to specific function classes or problem domains, cHM is…

神经与进化计算 · 计算机科学 2026-03-20 Piotr A. Kowalski , Szymon Kucharczyk , Jacek Mańdziuk

This paper proposes sG-hyperbolicity as a new tool for studying hyperbolicity on complex manifolds. It demonstrates that this notion leads to a wider class of divisorially hyperbolic manifolds compared to balanced hyperbolicity. We also…

微分几何 · 数学 2024-04-16 Yi Ma

We consider one-dimensional hyperbolic PDEs, linear and nonlinear, with random initial data. Our focus is the {\em pointwise statistics,} i.e., the probability measure of the solution at any fixed point in space and time. For linear…

偏微分方程分析 · 数学 2025-12-17 Alina Chertock , Pierre Degond , Amir Sagiv , Li Wang

A new kinetic model of globular clusters based on a modified velocities distribution function is compared to the most often used King's model. A hypothetical contribution of dark matter is considered.

广义相对论与量子宇宙学 · 物理学 2014-04-03 Ll. Bel

Generalised Hydrodynamics (GHD) describes the large-scale inhomogeneous dynamics of integrable (or close to integrable) systems in one dimension of space, based on a central equation for the fluid density or quasi-particle density: the GHD…

斑图形成与孤子 · 物理学 2025-04-25 Thibault Bonnemain , Vincent Caudrelier , Benjamin Doyon

As shown recently, one can obtain additional information from the measured multiplicity distributions, $P(N)$, by extracting the so-called modified combinants, $C_j$. This information is encoded in their specific oscillatory behavior, which…

高能物理 - 唯象学 · 物理学 2020-01-29 H. W. Ang , M. Ghaffar , A. H. Chan , M. Rybczyński , G. Wilk , Z. Włodarczyk

We consider practical data characteristics underlying federated learning, where unbalanced and non-i.i.d. data from clients have a block-cyclic structure: each cycle contains several blocks, and each client's training data follow…

机器学习 · 计算机科学 2020-02-19 Yucheng Ding , Chaoyue Niu , Yikai Yan , Zhenzhe Zheng , Fan Wu , Guihai Chen , Shaojie Tang , Rongfei Jia

We present a Bayesian inference approach to estimating the cumulative mass profile and mean squared velocity profile of a globular cluster given the spatial and kinematic information of its stars. Mock globular clusters with a range of…

星系天体物理 · 物理学 2022-03-09 Gwendolyn M. Eadie , Jeremy J. Webb , Jeffrey S. Rosenthal

Hyperbolic graph convolutional networks (HGCNs) have demonstrated significant potential in extracting information from hierarchical graphs. However, existing HGCNs are limited to shallow architectures due to the computational expense of…

机器学习 · 计算机科学 2024-08-12 Jiaxu Liu , Xinping Yi , Xiaowei Huang

Within a Bayesian framework, a comprehensive investigation of mixtures of finite mixtures (MFMs), i.e., finite mixtures with a prior on the number of components, is performed. This model class has applications in model-based clustering as…

统计方法学 · 统计学 2025-09-15 Sylvia Frühwirth-Schnatter , Gertraud Malsiner-Walli , Bettina Grün