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Although the governing equations of many systems, when derived from first principles, may be viewed as known, it is often too expensive to numerically simulate all the interactions they describe. Therefore researchers often seek simpler…

统计计算 · 统计学 2021-05-03 Tapio Schneider , Andrew M. Stuart , Jin-Long Wu

A systematic Bayesian framework is developed for physics constrained parameter inference ofstochastic differential equations (SDE) from partial observations. The physical constraints arederived for stochastic climate models but are…

数据分析、统计与概率 · 物理学 2016-11-25 Daniel Peavoy , Christian L. E. Franzke , Gareth O. Roberts

The design of multiple experiments is commonly undertaken via suboptimal strategies, such as batch (open-loop) design that omits feedback or greedy (myopic) design that does not account for future effects. This paper introduces new…

统计方法学 · 统计学 2016-04-29 Xun Huan , Youssef M. Marzouk

We propose a framework for constructing microscopic traffic models from microscopic acceleration patterns that can in principle be experimental measured and proper averaged. The exact model thus obtained can be used to justify the…

适应与自组织系统 · 物理学 2015-04-07 Bo Yang , Xihua Xu , John Z. F. Pang , Christopher Monterola

Context: The Evidence-Based Software Engineering (EBSE) paradigm and the planning phase of a systematic literature review. Objective: A protocol to do a systematic literature review with detailed information about the processes suggested by…

In real-world robotics applications, accurate models of robot dynamics are critical for safe and stable control in rapidly changing operational conditions. This motivates the use of machine learning techniques to approximate robot dynamics…

机器人学 · 计算机科学 2022-01-13 Thai Duong , Nikolay Atanasov

Stochastic differential equations (SDEs) are a staple of mathematical modelling of temporal dynamics. However, a fundamental limitation has been that such models have typically been relatively inflexible, which recent work introducing…

机器学习 · 计算机科学 2021-05-12 Patrick Kidger , James Foster , Xuechen Li , Harald Oberhauser , Terry Lyons

We consider optimal experimental design (OED) for Bayesian nonlinear inverse problems governed by partial differential equations (PDEs) under model uncertainty. Specifically, we consider inverse problems in which, in addition to the…

数值分析 · 数学 2024-07-03 Alen Alexanderian , Ruanui Nicholson , Noemi Petra

Extremum seeking control (ESC) are optimization algorithms in continuous time, with model-based ESCs using true derivative information of the cost function and model-free ESCs utilizing perturbation-based estimates instead. Stability…

最优化与控制 · 数学 2025-07-22 Patrick McNamee , Zahra Nili Ahmadabadi , Mirslav Krstić

Physics-based models often involve large systems of parametrized partial differential equations, where design parameters control various properties. However, high-fidelity simulations of such systems on large domains or with high grid…

计算物理 · 物理学 2025-05-15 Diba Behnoudfar

We discuss certain basic features of the equation-free (EF) approach to modeling and computation for complex/multiscale systems. We focus on links between the equation-free approach and tools from systems and control theory (design of…

元胞自动机与格子气 · 物理学 2007-05-23 C. I. Siettos , R. Rico-Martinez , I. G. kevrekidis

We introduce a novel framework for optimization based on energy-conserving Hamiltonian dynamics in a strongly mixing (chaotic) regime and establish its key properties analytically and numerically. The prototype is a discretization of…

机器学习 · 计算机科学 2023-05-16 G. Bruno De Luca , Eva Silverstein

Entity alignment is to find identical entities in different knowledge graphs. Although embedding-based entity alignment has recently achieved remarkable progress, training data insufficiency remains a critical challenge. Conventional…

人工智能 · 计算机科学 2022-03-15 Kexuan Xin , Zequn Sun , Wen Hua , Bing Liu , Wei Hu , Jianfeng Qu , Xiaofang Zhou

Eigenvector spatial filtering (ESF) is a spatial modeling approach, which has been applied in urban and regional studies, ecological studies, and so on. However, it is computationally demanding, and may not be suitable for large data…

统计方法学 · 统计学 2018-04-23 Daisuke Murakami , Daniel A. Griffith

Neural networks that are equivariant to rotations, translations, reflections, and permutations on n-dimensional geometric space have shown promise in physical modeling for tasks such as accurately but inexpensively modeling complex…

机器学习 · 计算机科学 2023-01-25 Yuanqing Wang , John D. Chodera

This letter considers the problem of end-to-end learning for joint optimization of transmitter precoding and receiver processing for mmWave downlink positioning. Considering a multiple-input single-output (MISO) scenario, we propose a novel…

In this article, we show that the projection-free, snapshot-based, balanced truncation method can be applied directly to unstable systems. We prove that even for unstable systems, the unmodified balanced proper orthogonal decomposition…

流体动力学 · 物理学 2015-08-27 Thibault L. B. Flinois , Aimee S. Morgans , Peter J. Schmid

Collisional Brownian engines have recently gained attention as alternatives to conventional nanoscale engines. However, a comprehensive optimization of their performance, which could serve as a benchmark for future engine designs, is still…

统计力学 · 物理学 2025-11-05 Gustavo A. L. Forão

Control protocol to drive finite dimensional quantum systems to an arbitrary target state using square pulses is proposed explicitly. It is a multi-cycle control process and in each cycle we apply square pulses to cause single or a few…

量子物理 · 物理学 2013-12-19 Jianju Tang , H. C. Fu

A non-equilibrium, generally time-dependent, environment whose form is deduced by optimal learning control is shown to provide a means for incoherent manipulation of quantum systems. Incoherent control by the environment (ICE) can serve to…

量子物理 · 物理学 2007-05-23 Alexander Pechen , Herschel Rabitz