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The harmonic balance method (HBM) was originally developed for finding periodic solutions of electronical and mechanical systems under a periodic force, but has later been adapted to self-sustained musical instruments. Unlike time-domain…

经典物理 · 物理学 2016-08-16 Snorre Farner , Christophe Vergez , Jean Kergomard , Aude Lizée

Population annealing is a sequential Monte Carlo scheme well-suited to simulating equilibrium states of systems with rough free energy landscapes. Here we use population annealing to study a binary mixture of hard spheres. Population…

统计力学 · 物理学 2017-07-27 Jared Callaham , Jon Machta

Convex optimization encompasses a wide range of optimization problems that contain many efficiently solvable subclasses. Interior point methods are currently the state-of-the-art approach for solving such problems, particularly effective…

最优化与控制 · 数学 2025-03-28 Andreas Klingler , Tim Netzer

A method is suggested for treating those complicated physical problems for which exact solutions are not known but a few approximation terms of a calculational algorithm can be derived. The method permits one to answer the following rather…

高能物理 - 唯象学 · 物理学 2009-10-31 V. I. Yukalov , E. P. Yukalova

How heterogeneous multiscale methods (HMM) handle fluctuations acting on the slow variables in fast-slow systems is investigated. In particular, it is shown via analysis of central limit theorems (CLT) and large deviation principles (LDP)…

概率论 · 数学 2016-01-12 David Kelly , Eric Vanden-Eijnden

This paper has two main goals: (a) establish several statistical properties---consistency, asymptotic distributions, and convergence rates---of stationary solutions and values of a class of coupled nonconvex and nonsmoothempirical risk…

统计理论 · 数学 2019-10-08 Zhengling Qi , Ying Cui , Yufeng Liu , Jong-Shi Pang

The homotopy analysis method known from its successful applications to obtain quasi-analytical approximations of solutions of ordinary and partial differential equations is applied to stochastic differential equations with Gaussian…

统计力学 · 物理学 2014-10-08 Maciej Janowicz , Filip Krzyżewski , Joanna Kaleta , Marian Rusek , Arkadiusz Orłowski

A balanced sampling design should always be the adopted strategies if auxiliary information is available. Besides, integrating a stratified structure of the population in the sampling process can considerably reduce the variance of the…

统计方法学 · 统计学 2022-06-03 Raphaël Jauslin , Esther Eustache , Yves Tillé

Harmonic model predictive control (HMPC) is a model predictive control (MPC) formulation which displays several benefits over other MPC formulations, especially when using a small prediction horizon. These benefits, however, come at the…

最优化与控制 · 数学 2022-11-16 Pablo Krupa , Daniel Limon , Alberto Bemporad , Teodoro Alamo

In this paper, we consider the nonlinear doubly singular boundary value problems $(p(x)y'(x))'+ q(x)f(x,y(x))=0,~0<x<1$ with Dirichlet/Neumann boundary conditions at $x=0$ and Robin type boundary conditions at $x=1$. Due to the presence of…

数值分析 · 数学 2017-11-27 Randhir Singh

This paper presents SIMPOL (Simplified Policy Iteration), a modular numerical framework for solving continuous-time heterogeneous agent models. The core economic problem, the optimization of consumption and savings under idiosyncratic…

计算金融 · 定量金融 2025-09-30 Ricardo Alonzo Fernández Salguero

There is a myriad of phenomena that are better modelled with semi-infinite distribution families, many of which are studied in survival analysis. When performing inference, lack of knowledge of the populational minimum becomes a problem,…

统计计算 · 统计学 2020-10-19 Matheus Henrique Junqueira Saldanha , Adriano Kamimura Suzuki

This paper proposes a novel evolutionary algorithm called Epistocracy which incorporates human socio-political behavior and intelligence to solve complex optimization problems. The inspiration of the Epistocracy algorithm originates from a…

神经与进化计算 · 计算机科学 2021-02-02 Seyed Ziae Mousavi Mojab , Seyedmohammad Shams , Hamid Soltanian-Zadeh , Farshad Fotouhi

We present a new theoretical and numerical assessment methodology for a one-dimensional process chain with general applicability to management problems such as the optimization of decision chains or production chains. The process is thereby…

经济学 · 定量金融 2017-12-04 Johannes Freiesleben , Nicolas Guérin

In this work, Lienard equations are considered. The limit cycles of these systems are studied by applying the homotopy analysis method. The amplitude and frequency obtained with this methodology are in good agreement with those calculated…

斑图形成与孤子 · 物理学 2008-05-29 Saied Abbasbandy , Jose-Luis Lopez , Ricardo Lopez-Ruiz

The histogram method is a powerful non-parametric approach for estimating the probability density function of a continuous variable. But the construction of a histogram, compared to the parametric approaches, demands a large number of…

机器学习 · 统计学 2015-12-29 Hideaki Kim , Hiroshi Sawada

We propose in this paper a unifying scheme for several algorithms from the literature dedicated to the solving of monotone inclusion problems involving compositions with linear continuous operators in infinite dimensional Hilbert spaces. We…

最优化与控制 · 数学 2017-05-08 Radu Ioan Bot , Ernö Robert Csetnek

Large-scale strongly nonlinear and nonconvex mixed-integer nonlinear programming (MINLP) models frequently appear in optimisation-based process synthesis, integration, intensification, and process control. However, they are usually…

最优化与控制 · 数学 2026-01-06 Yingjie Ma , Jie Li

In this paper has been considered probability-one global convergence of NFPH (Newton-Fixed Point Homotopy) algorithm for system of nonlinear equations and has been proposed a probability-one homotopy algorithm to solve a regularized…

最优化与控制 · 数学 2012-07-06 Yunchol Jong , Wonil Kim

Population-based methods can cope with a variety of different problems, including problems of remarkably higher complexity than those traditional methods can handle. The main procedure consists of successively updating a population of…

神经与进化计算 · 计算机科学 2021-01-27 Mauro S. Innocente , Johann Sienz