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We present a neural network approach for closed-loop deep brain stimulation (DBS). We cast the problem of finding an optimal neurostimulation strategy as a control problem. In this setting, control policies aim to optimize therapeutic…

最优化与控制 · 数学 2023-11-14 Malvern Madondo , Deepanshu Verma , Lars Ruthotto , Nicholas Au Yong

In this paper, we investigate the fundamental limits on how the inter- spike time of a neuron oscillator can be perturbed by the application of a bounded external control input (a current stimulus) with zero net electric charge…

最优化与控制 · 数学 2012-11-20 Isuru S. Dasanayake , Jr-Shin Li

Decentralized optimization for non-convex problems are now demanding by many emerging applications (e.g., smart grids, smart building, etc.). Though dramatic progress has been achieved in convex problems, the results for non-convex cases,…

最优化与控制 · 数学 2022-08-30 Yu Yang , Guoqiang Hu , Costas J. Spanos

The primary motor cortex appears to be in the center of transcranial magnetic stimulation (TMS). It is one of few locations that provide directly observable responses, and its physiology serves as model or reference for almost all other TMS…

神经元与认知 · 定量生物学 2025-07-08 Maryam Farahmandrad , Stefan Goetz

The paper presents a novel method for designing an optimal controller for discrete-time switched linear systems. The problem is formulated as one of computing the discrete mode sequence and the continuous input sequence that jointly…

系统与控制 · 计算机科学 2017-04-25 Jérémie Kreiss , Laurent Bako , Eric Blanco

We derive novel algorithms for optimization problems constrained by partial differential equations describing multiscale particle dynamics, including non-local integral terms representing interactions between particles. In particular, we…

数值分析 · 数学 2021-09-09 Mildred Aduamoah , Benjamin D. Goddard , John W. Pearson , Jonna C. Roden

The limitations of centralized optimization methods in managing power distribution systems operations motivate distributed control and optimization algorithms. However, the existing distributed optimization algorithms are inefficient in…

最优化与控制 · 数学 2021-09-06 Rabayet Sadnan , Tom Asaki , Anamika Dubey

Constellation shaping is a practical and effective technique to improve the performance and the rate adaptivity of optical communication systems. In principle, it could also be used to mitigate the impact of nonlinear effects, possibly…

信息论 · 计算机科学 2022-06-08 Marco Secondini , Stella Civelli , Enrico Forestieri , Lareb Zar Khan

This work considers the optimization of electrode positions in head imaging by electrical impedance tomography. The study is motivated by maximizing the sensitivity of electrode measurements to conductivity changes when monitoring the…

数值分析 · 数学 2023-12-19 N. Hyvönen , A. Jääskeläinen , R. Maity , A. Vavilov

We discuss several optimization procedures to solve finite element approximations of linear-quadratic Dirichlet optimal control problems governed by an elliptic partial differential equation posed on a 2D or 3D Lipschitz domain. The control…

最优化与控制 · 数学 2019-01-25 Mariano Mateos

The problem of optimal control of power distribution systems is becoming increasingly compelling due to the progressive penetration of distributed energy resources in this specific layer of the electrical infrastructure. Distribution…

系统与控制 · 计算机科学 2016-11-17 Konstantina Christakou , Jean-Yves Le Boudec , Mario Paolone , Dan-Cristian Tomozei

This paper develops a distributed model predictive control (DMPC) strategy for a class of discrete-time linear systems with consideration of globally coupled constraints. The DMPC under study is based on the dual problem concerning all…

最优化与控制 · 数学 2019-07-25 Yanxu Su , Yang Shi , Changyin Sun

An optimization-based approach for the Tucker tensor approximation of parameter-dependent data tensors and solutions of tensor differential equations with low Tucker rank is presented. The problem of updating the tensor decomposition is…

最优化与控制 · 数学 2019-05-31 Lukas Exl

We are interested in high-order linear multistep schemes for time discretization of adjoint equations arising within optimal control problems. First we consider optimal control problems for ordinary differential equations and show loss of…

数值分析 · 数学 2018-07-24 Giacomo Albi , Michael Herty , Lorenzo Pareschi

In a wide range of applications it is desirable to optimally control a dynamical system with respect to concurrent, potentially competing goals. This gives rise to a multiobjective optimal control problem where, instead of computing a…

最优化与控制 · 数学 2020-12-18 Sebastian Peitz , Sina Ober-Blöbaum , Michael Dellnitz

We propose a new method for generating semidefinite relaxations of optimal power flow problems. The method is based on chordal conversion techniques: by dropping some equality constraints in the conversion, we obtain semidefinite…

最优化与控制 · 数学 2013-12-09 Martin S. Andersen , Anders Hansson , Lieven Vandenberghe

Background: Spinal cord injury (SCI) rehabilitation remains a major clinical challenge, with limited treatment options for functional recovery. Temporal interference (TI) electrical stimulation has emerged as a promising non-invasive…

医学物理 · 物理学 2025-03-07 Xu Xie , Yuchen Xu , Huilin Mou , Xi Li , Li Zhang , Zehao Sheng , Weidong Chen , Shaomin Zhang , Ruidong Cheng , Minmin Wang

This study proposes a computationally efficient method for optimizing multi-zone thermostatically controlled loads (TCLs) by leveraging dimensionality reduction through an auto-encoder. We develop a multi-task learning framework to jointly…

系统与控制 · 电气工程与系统科学 2025-05-02 Xueyuan Cui , Yi Wang , Bolun Xu

Purpose: Despite decades of collective experience, radiofrequency coil optimization for MR has remained a largely empirical process, with clear insight into what might constitute truly task-optimal, as opposed to merely 'good,' coil…

In recent years, deep learning has been connected with optimal control as a way to define a notion of a continuous underlying learning problem. In this view, neural networks can be interpreted as a discretization of a parametric Ordinary…

最优化与控制 · 数学 2020-07-07 Joubine Aghili , Olga Mula