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This paper presents an algorithm for calculating an ensemble of solutions to natural convection problems. The ensemble average is the most likely temperature distribution and its variance gives an estimate of prediction reliability.…

数值分析 · 数学 2017-08-03 Joseph A. Fiordilino

Improvement of time series forecasting accuracy through combining multiple models is an important as well as a dynamic area of research. As a result, various forecasts combination methods have been developed in literature. However, most of…

人工智能 · 计算机科学 2013-02-28 Ratnadip Adhikari , R. K. Agrawal

The widespread popularity of replica exchange and expanded ensemble algorithms for simulating complex molecular systems in chemistry and biophysics has generated much interest in enhancing phase space mixing of these protocols, thus…

统计力学 · 物理学 2011-12-06 John D. Chodera , Michael R. Shirts

In this paper, we develop an ensemble-based time-stepping algorithm to efficiently find numerical solutions to a group of linear, second-order parabolic partial differential equations (PDEs). Particularly, the PDE models in the group could…

数值分析 · 数学 2017-10-18 Yan Luo , Zhu Wang

Machine Reading Comprehension (MRC) is an active field in natural language processing with many successful developed models in recent years. Despite their high in-distribution accuracy, these models suffer from two issues: high training…

计算与语言 · 计算机科学 2021-07-16 Razieh Baradaran , Hossein Amirkhani

Due to the time-scale limitations of all-atom simulation of proteins, there has been substantial interest in coarse-grained approaches. Some methods, like "Resolution Exchange," [E. Lyman et al., Phys. Rev. Lett. 96, 028105 (2006)] can…

生物物理 · 物理学 2007-05-23 F. Marty Ytreberg , Svetlana Kh. Aroutiounian , Daniel M. Zuckerman

This paper considers generalized linear models using rule-based features, also referred to as rule ensembles, for regression and probabilistic classification. Rules facilitate model interpretation while also capturing nonlinear dependences…

机器学习 · 计算机科学 2019-06-06 Dennis Wei , Sanjeeb Dash , Tian Gao , Oktay Günlük

The objective of this paper is to define an effective strategy for building an ensemble of Genetic Programming (GP) models. Ensemble methods are widely used in machine learning due to their features: they average out biases, they reduce the…

神经与进化计算 · 计算机科学 2019-06-14 Mauro Castelli , Ivo Gonçalves , Luca Manzoni , Leonardo Vanneschi

The sampling problem lies at the heart of atomistic simulations and over the years many different enhanced sampling methods have been suggested towards its solution. These methods are often grouped into two broad families. On the one hand…

计算物理 · 物理学 2020-11-25 Michele Invernizzi , Pablo Miguel Piaggi , Michele Parrinello

Ensembles of artificial neural networks show improved generalization capabilities that outperform those of single networks. However, for aggregation to be effective, the individual networks must be as accurate and diverse as possible. An…

人工智能 · 计算机科学 2007-05-23 P. M. Granitto , P. F. Verdes , H. A. Ceccatto

We propose an ensemble algorithm, which provides a new approach for evaluating and summing up a set of function samples. The proposed algorithm is not a quantum algorithm, insofar it does not involve quantum entanglement. The query…

量子物理 · 物理学 2009-11-07 C. D'Helon , V. Protopopescu

We propose a Gaussian ensemble as a description of the long-time dynamics of isolated quantum integrable systems. Our approach extends the Generalized Gibbs Ensemble (GGE) by incorporating fluctuations of integrals of motion. It is…

统计力学 · 物理学 2017-05-24 Hyungwon Kim , Anatoli Polkovnikov , Emil A. Yuzbashyan

Ensemble methods are widely employed to improve generalization in machine learning. This has also prompted the adoption of ensemble learning for the knowledge graph embedding (KGE) models in performing link prediction. Typical approaches to…

机器学习 · 计算机科学 2025-10-30 Rupesh Sapkota , Caglar Demir , Arnab Sharma , Axel-Cyrille Ngonga Ngomo

The combination of multiple classifiers using ensemble methods is increasingly important for making progress in a variety of difficult prediction problems. We present a comparative analysis of several ensemble methods through two case…

机器学习 · 计算机科学 2013-09-20 Sean Whalen , Gaurav Pandey

An analytical method to compute thermodynamic properties of a given Hamiltonian system is proposed. This method combines ideas of both dynamical systems and ensemble approaches to thermodynamics, providing de facto a possible alternative to…

统计力学 · 物理学 2009-10-31 Xavier Leoncini , Alberto D. Verga

We discuss a generalized quantum microcanonical ensemble. It describes isolated systems that are not necessarily in an eigenstate of the Hamilton operator. Statistical averages are obtained by a combination of a time average and a maximum…

量子物理 · 物理学 2009-11-13 Jan Naudts , Erik Van der Straeten

The classical Langevin Monte Carlo method looks for samples from a target distribution by descending the samples along the gradient of the target distribution. The method enjoys a fast convergence rate. However, the numerical cost is…

机器学习 · 统计学 2025-03-07 Zhiyan Ding , Qin Li

Convex regression is a promising area for bridging statistical estimation and deterministic convex optimization. New piecewise linear convex regression methods are fast and scalable, but can have instability when used to approximate…

机器学习 · 计算机科学 2012-06-22 Lauren Hannah , David Dunson

To directly simulate rare events using atomistic molecular dynamics is a significant challenge in computational biophysics. Well-established enhanced-sampling techniques do exist to obtain the thermodynamic functions for such systems. But…

统计力学 · 物理学 2020-07-21 Dhiman Ray , Ioan Andricioaei

We describe collective-move Monte Carlo algorithms designed to approximate the overdamped dynamics of self-assembling nanoscale components equipped with strong, short-ranged and anisotropic interactions. Conventional Monte Carlo simulations…

统计力学 · 物理学 2012-04-16 Stephen Whitelam