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In many statistical learning problems, the target functions to be optimized are highly non-convex in various model spaces and thus are difficult to analyze. In this paper, we compute \emph{Energy Landscape Maps} (ELMs) which characterize…

机器学习 · 统计学 2014-10-03 Maria Pavlovskaia , Kewei Tu , Song-Chun Zhu

The increasing frequency of extreme weather events poses significant risks to power distribution systems, leading to widespread outages and severe economic and social consequences. This paper presents a novel simulation framework for…

系统与控制 · 电气工程与系统科学 2025-02-13 Xuesong Wang , Shuo Yuan , Sharaf K. Magableh , Oraib Dawaghreh , Caisheng Wang , Le Yi Wang

The Diffusion Monte Carlo method is devoted to the computation of electronic ground-state energies of molecules. In this paper, we focus on implementations of this method which consist in exploring the configuration space with a {\bf fixed}…

数值分析 · 数学 2007-05-23 Tony Lelievre , Mohamed El Makrini , Benjamin Jourdain

This paper brings explicit considerations of distributed computing architectures and data structures into the rigorous design of Sequential Monte Carlo (SMC) methods. A theoretical result established recently by the authors shows that…

统计计算 · 统计学 2014-06-24 Anthony Lee , Nick Whiteley

In order to efficiently explore the chemical space of all possible small molecules, a common approach is to compress the dimension of the system to facilitate downstream machine learning tasks. Towards this end, we present a data driven…

生物大分子 · 定量生物学 2024-01-23 Paula Mercurio , Di Liu

The accuracy of the energy landscape of silicon systems obtained from various density functional methods, a tight binding scheme and force fields is studied. Quantum Monte Carlo results serve as quasi exact reference values. In addition to…

In the context of Monte Carlo sampling for lattice models, the complexity of the energy landscape often leads to Markov chains being trapped in local optima, thereby increasing the correlation between samples and reducing sampling…

统计力学 · 物理学 2024-10-29 Jiewei Ding , Jiahao Su , Ho-Kin Tang , Wing Chi Yu

Energy landscape theory describes how a full-length protein can attain its native fold after sampling only a tiny fraction of all possible structures. Although protein folding is now understood to be concomitant with synthesis on the…

生物大分子 · 定量生物学 2013-10-17 David S. Tourigny

The degeneracy of two-phase disordered microstructures consistent with a specified correlation function is analyzed by mapping it to a ground-state degeneracy. We determine for the first time the associated density of states via a Monte…

统计力学 · 物理学 2012-05-16 Cedric Gommes , Yang Jiao , Salvatore Torquato

Quantum Monte Carlo data are often afflicted with distributions that resemble lognormal probability distributions and consequently their statistical analysis can not be based on simple Gaussian assumptions. To this extent a method is…

凝聚态物理 · 物理学 2007-05-23 Mervlyn Moodley

A plethora of problems in AI, engineering and the sciences are naturally formalized as inference in discrete probabilistic models. Exact inference is often prohibitively expensive, as it may require evaluating the (unnormalized) target…

机器学习 · 计算机科学 2019-10-16 Lars Buesing , Nicolas Heess , Theophane Weber

Topologically constrained genome-like polymers often double-fold into tree-like configurations, which can be modelled on the level of folded (ring) polymers or on the level of the underlying random trees. For both descriptions, we have…

软凝聚态物质 · 物理学 2026-05-19 Pieter H. W. van der Hoek , Angelo Rosa , Elham Ghobadpour , Ralf Everaers

We define the beta diffusion tree, a random tree structure with a set of leaves that defines a collection of overlapping subsets of objects, known as a feature allocation. A generative process for the tree structure is defined in terms of…

机器学习 · 统计学 2015-04-06 Creighton Heaukulani , David A. Knowles , Zoubin Ghahramani

Much of the information about the multi-valley structure of disordered spin systems can be convened in a simple tree structure -- a barrier tree -- the leaves and internal nodes of which represent, respectively, the local minima and the…

无序系统与神经网络 · 物理学 2009-11-10 Wim Hordijk , Jose F. Fontanari , Peter F. Stadler

We construct a generative network for Monte-Carlo sampling in lattice field theories and beyond, for which the learning of layerwise propagation is done and optimised independently on each layer. The architecture uses physics-informed…

高能物理 - 格点 · 物理学 2025-10-31 Friederike Ihssen , Renzo Kapust , Jan M. Pawlowski

Here, we develop a data-centric approach enabling to analyse which activities, function, and characteristics of the environment surrounding the slow charging infrastructure impact the distribution of the electricity consumed at slow…

应用统计 · 统计学 2020-06-04 Milan Straka , Rui Carvalho , Gijs van der Poel , Ľuboš Buzna

Energy landscape theory describes how a full-length protein can attain its native fold by sampling only a tiny fraction of all possible structures. Although protein folding is now understood to be concomitant with synthesis on the ribosome,…

生物大分子 · 定量生物学 2014-09-25 David S Tourigny

We calculate the statistical properties of the energy landscape of a minimal model for strong network-forming liquids. Dynamics and thermodynamic properties of this model can be computed with arbitrary precision even at low temperatures. A…

Distribution grid is the medium and low voltage part of a large power system. Structurally, the majority of distribution networks operate radially, such that energized lines form a collection of trees, i.e. forest, with a substation being…

系统与控制 · 计算机科学 2018-07-12 Deepjyoti Deka , Michael Chertkov , Scott Backhaus

Powering radio access networks using renewables, such as wind and solar power, promises dramatic reduction in the network operation cost and the network carbon footprints. However, the spatial variation of the energy field can lead to…

信息论 · 计算机科学 2016-11-18 Kaibin Huang , Marios Kountouris , Victor O. K. Li
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