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The classical approach to linear system identification is given by parametric Prediction Error Methods (PEM). In this context, model complexity is often unknown so that a model order selection step is needed to suitably trade-off bias and…

Machine Learning · Statistics 2013-03-13 Aleksandr Y. Aravkin , James V. Burke , Gianluigi Pillonetto

Low-order linear System IDentification (SysID) addresses the challenge of estimating the parameters of a linear dynamical system from finite samples of observations and control inputs with minimal state representation. Traditional…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Uday Kiran Reddy Tadipatri , Benjamin D. Haeffele , Joshua Agterberg , Ingvar Ziemann , René Vidal

Solving constrained nonlinear programs (NLPs) is of great importance in various domains such as power systems, robotics, and wireless communication networks. One widely used approach for addressing NLPs is the interior point method (IPM).…

Optimization and Control · Mathematics 2024-10-22 Xi Gao , Jinxin Xiong , Akang Wang , Qihong Duan , Jiang Xue , Qingjiang Shi

We propose a new LMI approach to the design of optimal switching sequences for polynomial dynamical systems with state constraints. We formulate the switching design problem as an optimal control problem which is then relaxed to a linear…

Optimization and Control · Mathematics 2013-03-11 Didier Henrion , Jamal Daafouz , Mathieu Claeys

The scope of this research is a problem of parameters identification of a linear time-invariant (LTI) plant, which 1) input signal is not frequency-rich, 2) is subjected to initial conditions and external disturbances. The memory regressor…

Systems and Control · Electrical Eng. & Systems 2020-10-02 Anton Glushchenko , Vladislav Petrov , Konstantin Lastochkin

Training Large Language Models (LLMs) for chain-of-thought reasoning presents a significant challenge: supervised fine-tuning on a single "golden" rationale hurts generalization as it penalizes equally valid alternatives, whereas…

Computation and Language · Computer Science 2025-11-14 Mingye Zhu , Yi Liu , Zheren Fu , Quan Wang , Yongdong Zhang

Optimization of frame structures is formulated as a~non-convex optimization problem, which is currently solved to local optimality. In this contribution, we investigate four optimization approaches: (i) general non-linear optimization, (ii)…

Optimization and Control · Mathematics 2019-09-17 Marek Tyburec , Jan Zeman , Martin Kružík , Didier Henrion

Optimization of high-dimensional black-box functions is an extremely challenging problem. While Bayesian optimization has emerged as a popular approach for optimizing black-box functions, its applicability has been limited to…

Machine Learning · Statistics 2018-08-06 Zi Wang , Chengtao Li , Stefanie Jegelka , Pushmeet Kohli

Bayesian optimisation is an adaptive sampling strategy for constructing a Gaussian process surrogate to efficiently search for the global minimum of a black-box computational model. Gaussian processes have limited applicability in…

Applications · Statistics 2025-12-04 Thomas A. Archbold , Ieva Kazlauskaite , Fehmi Cirak

Modern very large-scale integration (VLSI) design requires the implementation of integrated circuits using electronic design automation (EDA) tools. Due to the complexity of EDA algorithms, the vast parameter space poses a huge challenge to…

Machine Learning · Computer Science 2025-08-25 Jingyu Pan , Isaac Jacobson , Zheng Zhao , Tung-Chieh Chen , Guanglei Zhou , Chen-Chia Chang , Vineet Rashingkar , Yiran Chen

This paper addresses the problem of recursive set-membership identification for linear time varying (LTV) systems when both input and output measurements are affected by bounded additive noise. First we formulate the problem of online…

Optimization and Control · Mathematics 2021-07-06 Sophie M. Fosson , Diego Regruto , Talal Abdalla , Abdul Salam

The robust adaptive beamforming (RAB) problem for general-rank signal model with an uncertainty set defined through a matrix induced norm is considered. The worst-case signal-to-interference-plus-noise ratio (SINR) maximization RAB problem…

Signal Processing · Electrical Eng. & Systems 2021-03-25 Yongwei Huang , Sergiy A. Vorobyov

The increasing penetration of renewables in distribution networks calls for faster and more advanced voltage regulation strategies. A promising approach is to formulate the problem as an optimization problem, where the optimal reactive…

Optimization and Control · Mathematics 2020-02-24 Yize Chen , Yuanyuan Shi , Baosen Zhang

(Block-)coordinate minimization is an iterative optimization method which in every iteration finds a global minimum of the objective over a variable or a subset of variables, while keeping the remaining variables constant. While for some…

Optimization and Control · Mathematics 2019-10-22 Tomáš Werner , Daniel Průša

In this paper, we study the minimal cost constrained input-output (I/O) and control configuration co-design problem. Given a linear time-invariant plant, where a collection of possible inputs and outputs is known a priori, we aim to…

Optimization and Control · Mathematics 2015-03-17 Sergio Pequito , Soummya Kar , George J. Pappas

We consider robust optimal experimental design (ROED) for nonlinear Bayesian inverse problems governed by partial differential equations (PDEs). An optimal design is one that maximizes some utility quantifying the quality of the solution of…

Numerical Analysis · Mathematics 2026-05-01 Abhijit Chowdhary , Ahmed Attia , Alen Alexanderian

Dynamical models identified from data are frequently employed in control system design. However, decoupling system identification from controller synthesis can result in situations where no suitable controller exists after a model has been…

Systems and Control · Electrical Eng. & Systems 2025-12-30 Sampath Kumar Mulagaleti , Alberto Bemporad

This paper presents an algorithm, Voted Kernel Regularization , that provides the flexibility of using potentially very complex kernel functions such as predictors based on much higher-degree polynomial kernels, while benefitting from…

Machine Learning · Computer Science 2015-09-16 Corinna Cortes , Prasoon Goyal , Vitaly Kuznetsov , Mehryar Mohri

Bilinear Matrix Inequalities (BMIs) are fundamental to control system design but are notoriously difficult to solve due to their nonconvexity. This study addresses BMI-based control optimization problems by adapting and integrating advanced…

Systems and Control · Electrical Eng. & Systems 2026-01-14 Syue-Cian Lin , Wei-Yu Chiu , Chien-Feng Wu

We present a new method for developing time step controllers based on a technique from the field of machine learning. This method is applicable to stable time integrators that have an embedded scheme, i.e., that have local error estimation…

Numerical Analysis · Mathematics 2025-12-23 Thomas Izgin , Hendrik Ranocha
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