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Laser cooling, which cools atomic and molecular gases to near absolute zero, is the crucial initial step for nearly all atomic gas experiments. However, fast achievement of numerous sub-$\mu$K cold atoms is challenging. To resolve the…

We study the dynamics of parallel tempering simulations, also known as the replica exchange technique, which has become the method of choice for simulation of proteins and other complex systems. Recent results for the optimal choice of the…

统计力学 · 物理学 2009-11-13 Walter Nadler , Ulrich H. E. Hansmann

Epidemiological models can not only be used to forecast the course of a pandemic like COVID-19, but also to propose and design non-pharmaceutical interventions such as school and work closing. In general, the design of optimal policies…

最优化与控制 · 数学 2023-04-06 Jan-Hendrik Niemann , Samuel Uram , Sarah Wolf , Nataša Djurdjevac Conrad , Martin Weiser

Dynamic flux balance analysis of a bioreactor is based on the coupling between a dynamic problem, which models the evolution of biomass, feeding substrates and metabolites, and a linear program, which encodes the metabolic activity inside…

最优化与控制 · 数学 2015-07-07 Roberta Ghezzi , Benedetto Piccoli

This review describes recent advances by the authors and others on the topic of incorporating experimental data into molecular simulations through maximum entropy methods. Methods which incorporate experimental data improve accuracy in…

化学物理 · 物理学 2019-05-15 Dilnoza B. Amirkulova , Andrew D. White

Optimal control problems driven by evolutionary partial differential equations arise in many industrial applications and their numerical solution is known to be a challenging problem. One approach to obtain an optimal feedback control is…

数值分析 · 数学 2023-05-16 Gerhard Kirsten , Luca Saluzzi

Background and objective: Diabetes is one of the four leading causes of death worldwide, necessitating daily blood glucose monitoring. While sweat offers a promising non-invasive alternative for glucose monitoring, its application remains…

定量方法 · 定量生物学 2024-12-05 Xiaoyu Yin , Elisabetta Peri , Eduard Pelssers , Jaap den Toonder , Lisa Klous , Hein Daanen , Massimo Mischi

To achieve Bose-Einstein condensation, one may implement evaporative cooling by dynamically regulating the power of laser beams forming the optical dipole trap. We propose and experimentally demonstrate a protocol of Bayesian optimization…

In this work, we present an extensive computational study on the Ziff-Gulari-Barshad (ZGB) model extended in order to include the spatial diffusion of oxygen atoms and carbon monoxide molecules, both adsorbed on the surface. In our…

统计力学 · 物理学 2018-08-01 Roberto da Silva , Henrique Almeida Fernandes

In this paper, we propose a computationally efficient, robust density control strategy for the mean-field model of a robotic swarm. We formulate a static optimal control problem (OCP) that computes a robot velocity field which drives the…

最优化与控制 · 数学 2022-12-06 Carlo Sinigaglia , Andrea Manzoni , Francesco Braghin , Spring Berman

Many practical applications of optimal control are subject to real-time computational constraints. When applying model predictive control (MPC) in these settings, respecting timing constraints is achieved by limiting the number of…

最优化与控制 · 数学 2024-12-16 Anusha Srikanthan , Aren Karapetyan , Vijay Kumar , Nikolai Matni

The realization of efficient micro-machines built from active matter requires precise thermodynamic control far from equilibrium. Despite theoretical progress, the focus on single-parameter driving, coupled with strict theoretical…

软凝聚态物质 · 物理学 2026-03-18 Luke K. Davis

Optimal prediction approximates the average solution of a large system of ordinary differential equations by a smaller system. We present how optimal prediction can be applied to a typical problem in the field of molecular dynamics, in…

数学物理 · 物理学 2008-11-15 Benjamin Seibold

Computational design problems arise in a number of settings, from synthetic biology to computer architectures. In this paper, we aim to solve data-driven model-based optimization (MBO) problems, where the goal is to find a design input that…

机器学习 · 计算机科学 2021-07-15 Brandon Trabucco , Aviral Kumar , Xinyang Geng , Sergey Levine

The energetic optimization problem, e.g., searching for the optimal switch- ing protocol of certain system parameters to minimize the input work, has been extensively studied by stochastic thermodynamics. In current work, we study this…

统计力学 · 物理学 2010-01-07 Linchen Gong , Ming Li , Zhong-can Ou-yang

Many real-time systems require the optimization of discrete variables. Black-box optimization (BBO) algorithms and multi-armed bandit (MAB) algorithms perform optimization by repeatedly taking actions and observing the corresponding instant…

人工智能 · 计算机科学 2025-06-23 Tomoya Kashimata , Yohei Hamakawa , Masaya Yamasaki , Kosuke Tatsumura

Control algorithms such as model predictive control (MPC) and state estimators rely on a number of different parameters. The performance of the closed loop usually depends on the correct setting of these parameters. Tuning is often done…

系统与控制 · 电气工程与系统科学 2020-10-15 David Stenger , Muzaffer Ay , Dirk Abel

We consider the primal and dual forms of the optimality conditions for PDE-contrained optimization problems arising in Data-Driven Computational Mechanics when specialized to the reaction-diffusion context. Starting with the continuous…

Dynamic Optimization Problems (DOPs) are characterized by changes in the fitness landscape that can occur at any time and are common in real world applications. The main issues to be considered include detecting the change in the fitness…

神经与进化计算 · 计算机科学 2023-10-10 Alexandre Mascarenhas , Yuri Lavinas , Claus Aranha

Molecular dynamics simulations are typically constrained to have a fixed number of particles, which limits our capability to simulate chemical and physical processes where the composition of the system changes during the simulation time.…

化学物理 · 物理学 2025-08-06 Blake I. Armstrong , Aaron D. Copeland , Davide Donadio , Paolo Raiteri