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Optimization is becoming increasingly common in scientific and engineering domains. Oftentimes, these problems involve various levels of stochasticity or uncertainty in generating proposed solutions. Therefore, optimization in these…

机器学习 · 统计学 2020-06-05 Peter D. Tonner , Daniel V. Samarov , A. Gilad Kusne

Black-box optimization problems often require simultaneously optimizing different types of variables, such as continuous, integer, and categorical variables. Unlike integer variables, categorical variables do not necessarily have a…

神经与进化计算 · 计算机科学 2025-05-22 Ryoki Hamano , Shota Saito , Masahiro Nomura , Kento Uchida , Shinichi Shirakawa

Suboptimal model predictive control is a technique that can reduce the computational cost of model predictive control (MPC) by exploiting its robustness to incomplete optimization. Instead of solving the optimal control problem exactly,…

系统与控制 · 计算机科学 2019-05-08 Dominic Liao-McPherson , Marco Nicotra , Ilya Kolmanovsky

The problem of achieving a good trade-off in Stochastic Model Predictive Control between the competing goals of improving the average performance and reducing conservativeness, while still guaranteeing recursive feasibility and low…

最优化与控制 · 数学 2016-06-21 Matthias Lorenzen , Frank Allgöwer , Fabrizio Dabbene , Roberto Tempo

We propose a novel Stochastic Model Predictive Control (MPC) for uncertain linear systems subject to probabilistic constraints. The proposed approach leverages offline learning to extract key features of affine disturbance feedback…

系统与控制 · 电气工程与系统科学 2024-11-22 Hotae Lee , Francesco Borrelli

Many machine learning models require a training procedure based on running stochastic gradient descent. A key element for the efficiency of those algorithms is the choice of the learning rate schedule. While finding good learning rates…

机器学习 · 统计学 2020-06-26 Victor Picheny , Vincent Dutordoir , Artem Artemev , Nicolas Durrande

In this paper we propose a constrained guaranteed cost robust model predictive controller (GCMPC) for uncertain discrete time systems. This controller was developed based on a quadratic cost functional and guarantee robustness with respect…

最优化与控制 · 数学 2018-09-21 Carlos M. Massera , Marco H. Terra , Denis F. Wolf

We propose a Model Predictive Control (MPC) with a single-step prediction horizon to approximate the solution of infinite horizon optimal control problems with the expected sum of convex stage costs for constrained linear uncertain systems.…

最优化与控制 · 数学 2025-04-24 Eunhyek Joa , Francesco Borrelli

Control of non-condensing non-ideal-gas power cycles is challenging because their output power dynamics depend on complex system interactions, non-ideal-gas effects complicate turbomachinery behavior, and state constraints must be…

系统与控制 · 电气工程与系统科学 2021-08-30 Viv Bone , Michael Kearney , Ingo Jahn

Input constrained Model predictive control (MPC) includes an optimization problem which should iteratively be solved at each time-instance. The well-known drawback of model predictive control is the computational cost of the optimization…

最优化与控制 · 数学 2019-04-17 Saman Cyrus , Ali Khaki Sedigh

This paper presents a systematic method for the selection of the Model Predictive Control (MPC) stage cost. We match the MPC feedback law to a proportional-integral (PI) controller, which we efficiently tune by high-performance Monte Carlo…

系统与控制 · 电气工程与系统科学 2022-12-06 Morten Ryberg Wahlgreen , John Bagterp Jørgensen , Mario Zanon

Model Predictive Control (MPC) is the principal control technique used in industrial applications. Although it offers distinguishable qualities that make it ideal for industrial applications, it can be questioned its robustness regarding…

最优化与控制 · 数学 2017-03-16 Alberto Zenere , Mattia Zorzi

Automatic Machine Learning (Auto-ML) systems tackle the problem of automating the design of prediction models or pipelines for data science. In this paper, we present Lifelong Bayesian Optimization (LBO), an online, multitask Bayesian…

机器学习 · 统计学 2019-06-24 Yao Zhang , James Jordon , Ahmed M. Alaa , Mihaela van der Schaar

We study a budgeted hyper-parameter tuning problem, where we optimize the tuning result under a hard resource constraint. We propose to solve it as a sequential decision making problem, such that we can use the partial training progress of…

机器学习 · 计算机科学 2019-02-05 Zhiyun Lu , Chao-Kai Chiang , Fei Sha

The recent increase in data availability and reliability has led to a surge in the development of learning-based model predictive control (MPC) frameworks for robot systems. Despite attaining substantial performance improvements over their…

机器人学 · 计算机科学 2023-08-02 Kong Yao Chee , Thales C. Silva , M. Ani Hsieh , George J. Pappas

This work develops a stochastic model predictive controller~(SMPC) for uncertain linear systems with additive Gaussian noise subject to state and control constraints. The proposed approach is based on the recently developed finite-horizon…

最优化与控制 · 数学 2019-11-26 Kazuhide Okamoto , Panagiotis Tsiotras

We consider active learning (AL) in an uncertain environment in which trade-off between multiple risk measures need to be considered. As an AL problem in such an uncertain environment, we study Mean-Variance Analysis in Bayesian…

机器学习 · 统计学 2020-09-18 Shogo Iwazaki , Yu Inatsu , Ichiro Takeuchi

This paper presents a new approach to solve linear and nonlinear model predictive control (MPC) problems that requires small memory footprint and throughput and is particularly suitable when the model and/or controller parameters change at…

最优化与控制 · 数学 2021-03-25 Nilay Saraf , Alberto Bemporad

A finite horizon optimal tracking problem is considered for linear dynamical systems subject to parametric uncertainties in the state-space matrices and exogenous disturbances. A suboptimal solution is proposed using a model predictive…

最优化与控制 · 数学 2022-02-08 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

Bayesian optimization (BO) is a popular method for optimizing expensive-to-evaluate black-box functions. BO budgets are typically given in iterations, which implicitly assumes each evaluation has the same cost. In fact, in many BO…

机器学习 · 计算机科学 2021-06-14 Eric Hans Lee , David Eriksson , Valerio Perrone , Matthias Seeger
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