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We propose formulating the finite-horizon stochastic optimal control problem for colloidal self-assembly in the space of probability density functions (PDFs) of the underlying state variables (namely, order parameters). The control…

Optimization and Control · Mathematics 2022-09-08 Iman Nodozi , Jared O'Leary , Ali Mesbah , Abhishek Halder

Solving complex optimal control problems have confronted computational challenges for a long time. Recent advances in machine learning have provided us with new opportunities to address these challenges. This paper takes model predictive…

Optimization and Control · Mathematics 2022-07-21 Weinan E , Jiequn Han , Jihao Long

We show that the minimum effort control of colloidal self-assembly can be naturally formulated in the order-parameter space as a generalized Schr\"{o}dinger bridge problem -- a class of fixed-horizon stochastic optimal control problems that…

Optimization and Control · Mathematics 2023-10-17 Iman Nodozi , Charlie Yan , Mira Khare , Abhishek Halder , Ali Mesbah

In this paper we study the stochastic control problem of partially observed (multi-dimensional) stochastic system driven by both Brownian motions and fractional Brownian motions. In the absence of the powerful tool of Girsanov…

Optimization and Control · Mathematics 2023-08-22 Yueyang Zheng , Yaozhong Hu

Networks of coupled dynamical systems provide a powerful way to model systems with enormously complex dynamics, such as the human brain. Control of synchronization in such networked systems has far reaching applications in many domains,…

Adaptation and Self-Organizing Systems · Physics 2018-03-21 Julien Gout , Markus Quade , Kamran Shafi , Robert K. Niven , Markus Abel

Implementing fast and high-fidelity quantum operations using open-loop quantum optimal control relies on having an accurate model of the quantum dynamics. Any deviations between this model and the complete dynamics of the device, such as…

Quantum Physics · Physics 2024-10-31 Elie Genois , Noah J. Stevenson , Noah Goss , Irfan Siddiqi , Alexandre Blais

We combine power functional theory and machine learning to study non-equilibrium overdamped many-body systems of colloidal particles at the level of one-body fields. We first sample in steady state the one-body fields relevant for the…

Soft Condensed Matter · Physics 2024-10-16 Toni Zimmerman , Florian Sammüller , Sophie Hermann , Matthias Schmidt , Daniel de las Heras

As computers get faster, researchers -- not hardware or algorithms -- become the bottleneck in scientific discovery. Computational study of colloidal self-assembly is one area that is keenly affected: even after computers generate massive…

Soft Condensed Matter · Physics 2018-03-28 Matthew Spellings , Sharon C Glotzer

Control system optimization has long been a fundamental challenge in robotics. While recent advancements have led to the development of control algorithms that leverage learning-based approaches, such as SafeOpt, to optimize single feedback…

Robotics · Computer Science 2024-11-13 Lihao Zheng , Hongxuan Wang , Xiaocong Li , Jun Ma , Prahlad Vadakkepat

In this paper, we develop a rigorous optimal control-theoretic approach to Transformer training that respects key structural constraints such as (i) realized-input-independence during execution, (ii) the ensemble control nature of the…

Machine Learning · Computer Science 2026-03-11 Kağan Akman , Naci Saldı , Serdar Yüksel

In this work, inspired in the symbolic dynamic of chaotic systems and using machine learning techniques, a control strategy for complex systems is designed. Unlike the usual methodologies based on modeling, where the control signal is…

Chaotic Dynamics · Physics 2021-06-08 Pedro García

This paper develops a method to learn optimal controls from data for bilinear systems without a priori knowledge of the system dynamics. Given an unknown bilinear system, we first characterize when the available data is suitable to solve…

Optimization and Control · Mathematics 2023-10-13 Zhenyi Yuan , Jorge Cortes

This paper is concerned with a constrained stochastic linear-quadratic optimal control problem, in which the terminal state is fixed and the initial state is constrained to lie in a stochastic linear manifold. The controllability of…

Optimization and Control · Mathematics 2019-06-11 Xiuchun Bi , Jingrui Sun , Jie Xiong

We present a method to design driving protocols that achieve fast thermal equilibration of a system of interest using techniques inspired by machine learning training algorithms. For example, consider a Brownian particle manipulated by…

Statistical Mechanics · Physics 2025-06-25 Diego Rengifo , Gabriel Téllez

In this work we present a general machine learning based scheme to optimize experimental control. The method utilizes the neural network to learn the relation between the control parameters and the control goal, with which the optimal…

Quantum Gases · Physics 2020-11-03 Yadong Wu , Zengming Meng , Kai Wen , Chengdong Mi , Jing Zhang , Hui Zhai

Sequential Model-based Bayesian Optimization has been successful-ly applied to several application domains, characterized by complex search spaces, such as Automated Machine Learning and Neural Architecture Search. This paper focuses on…

Systems and Control · Electrical Eng. & Systems 2020-03-10 Antonio Candelieri , Bruno Galuzzi , Ilaria Giordani , Francesco Archetti

In this paper, we study a class of stochastic optimal control problem with jumps under partial information. More precisely, the controlled systems are described by a fully coupled nonlinear multi- dimensional forward-backward stochastic…

Optimization and Control · Mathematics 2009-11-18 Qingxin Meng

In this work, motivated by recent manufacturing trends, we investigate autonomous robotic assembly. Industrial assembly tasks require contact-rich manipulation skills, which are challenging to acquire using classical control and motion…

Robotics · Computer Science 2018-07-26 Garrett Thomas , Melissa Chien , Aviv Tamar , Juan Aparicio Ojea , Pieter Abbeel

Simulations of colloidal suspensions consisting of mesoscopic particles and smaller species such as ions or depletants are computationally challenging as different length and time scales are involved. Here, we introduce a machine learning…

Soft Condensed Matter · Physics 2021-12-01 Gerardo Campos-Villalobos , Emanuele Boattini , Laura Filion , Marjolein Dijkstra

We review recent work on feedback control of one-dimensional colloidal systems, both with instantaneous feedback and with time delay. The feedback schemes are based on measurement of the average particle position, a natural control target…

Soft Condensed Matter · Physics 2015-12-14 R. Gernert , S. A. M. Loos , K. Lichtner , S. H. L. Klapp
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