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Design of printed circuit board (PCB) stack-up requires the consideration of characteristic impedance, insertion loss and crosstalk. As there are many parameters in a PCB stack-up design, the optimization of these parameters needs to be…

Other Statistics · Statistics 2019-11-12 Jiayi He , Aravind Sampath Kumar , Arun Chada , Bhyrav Mutnury , James Drewniak

In this paper, we present an optimal filter for linear time-varying continuous-time stochastic systems that simultaneously estimates the states and unknown inputs in an unbiased minimum-variance sense. We first show that the unknown inputs…

Optimization and Control · Mathematics 2016-11-17 Sze Zheng Yong , Minghui Zhu , Emilio Frazzoli

The problem of distributed identification of linear stochastic system with unknown coefficients over time-varying networks is considered. For estimating the unknown coefficients, each agent in the network can only access the input and the…

Systems and Control · Electrical Eng. & Systems 2021-08-04 Kewei Fu , Han-Fu Chen , Wenxiao Zhao

This paper is concerned with a lesser-studied problem in the context of model-based, uncertainty quantification (UQ), that of optimization/design/control under uncertainty. The solution of such problems is hindered not only by the usual…

Computation · Statistics 2016-02-17 Phaedon-Stelios Koutsourelakis

In this paper we propose a new methodology for solving a discrete time stochastic Markovian control problem under model uncertainty. By utilizing the Dirichlet process, we model the unknown distribution of the underlying stochastic process…

Optimization and Control · Mathematics 2022-03-29 Tao Chen , Jiyoun Myung

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…

Methodology · Statistics 2016-04-29 Xun Huan , Youssef M. Marzouk

In many signal processing problems, it may be fruitful to represent the signal under study in a frame. If a probabilistic approach is adopted, it becomes then necessary to estimate the hyper-parameters characterizing the probability…

Methodology · Statistics 2015-05-14 L. Chaâri , J. -C. Pesquet , J. -Y. Tourneret , Ph. Ciuciu , A. Benazza-Benyahia

This paper presents a stochastic model predictive control approach for nonlinear systems subject to time-invariant probabilistic uncertainties in model parameters and initial conditions. The stochastic optimal control problem entails a cost…

Optimization and Control · Mathematics 2014-10-17 Stefan Streif , Matthias Karl , Ali Mesbah

Koopman-based modeling and model predictive control have been a promising alternative for optimal control of nonlinear processes. Good Koopman modeling performance significantly depends on an appropriate nonlinear mapping from the original…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Zhaoyang Li , Minghao Han , Dat-Nguyen Vo , Xunyuan Yin

When applying machine learning to problems in NLP, there are many choices to make about how to represent input texts. These choices can have a big effect on performance, but they are often uninteresting to researchers or practitioners who…

Computation and Language · Computer Science 2015-03-03 Dani Yogatama , Noah A. Smith

Bayesian optimization has proven to be a highly effective methodology for the global optimization of unknown, expensive and multimodal functions. The ability to accurately model distributions over functions is critical to the effectiveness…

Machine Learning · Statistics 2014-06-13 Jasper Snoek , Kevin Swersky , Richard S. Zemel , Ryan P. Adams

We propose a novel Bayesian optimization (BO) procedure aimed at identifying the ``profile optima'' of a deterministic black-box computer simulation that has a single control parameter and multiple nuisance parameters. The profile optima…

Methodology · Statistics 2025-12-30 Courtney Kyger , James Fernandez , John A. Grunenwald , James Braun , Annie Booth

The Bayesian estimation of the unknown parameters of state-space (dynamical) systems has received considerable attention over the past decade, with a handful of powerful algorithms being introduced. In this paper we tackle the theoretical…

Computation · Statistics 2017-02-13 Joaquin Miguez , Ines P. Mariño , Manuel A. Vazquez

This paper proposes a model-based optimization method for the production of automotive seals in an extrusion process. The high production throughput, coupled with quality constraints and the inherent uncertainty of the process, encourages…

Systems and Control · Electrical Eng. & Systems 2024-10-31 Raul Cruz-Oliver , Luis Monzon , Edgar Ramirez-Laboreo , Jose-Manuel Rodriguez-Fortun

A non-intrusive reduced order model based on convolutional autoencoders (NIROM-CAEs) is proposed as a data-driven tool to build an efficient nonlinear reduced-order model for stochastic spatio-temporal large-scale physical problems. The…

Fluid Dynamics · Physics 2022-08-08 Azzedine Abdedou , Azzeddine Soulaïmani

A promising approach to optimal control of nonlinear systems involves iteratively linearizing the system and solving an optimization problem at each time instant to determine the optimal control input. Since this approach relies on online…

Optimization and Control · Mathematics 2025-01-30 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

Bayesian optimization (BO) methods choose sample points by optimizing an acquisition function derived from a statistical model of the objective. These acquisition functions are chosen to balance sampling regions with predicted good…

Machine Learning · Computer Science 2024-08-16 Darian Nwankwo , David Bindel

We consider optimal signalling and control of discrete-time nonlinear partially observable stochastic systems in state space form. In the first part of the paper, we characterize the operational {\it control-coding capacity}, $C_{FB}$ in…

Information Theory · Computer Science 2024-07-29 Charalambos D. Charalambous , Stelios Louka

A Bayesian filtering algorithm is developed for a class of state-space systems that can be modelled via Gaussian mixtures. In general, the exact solution to this filtering problem involves an exponential growth in the number of mixture…

Machine Learning · Statistics 2023-07-03 Adrian G. Wills , Johannes Hendriks , Christopher Renton , Brett Ninness

This article develops a Bayesian optimization (BO) method which acts directly over raw strings, proposing the first uses of string kernels and genetic algorithms within BO loops. Recent applications of BO over strings have been hindered by…

Machine Learning · Computer Science 2020-10-05 Henry B. Moss , Daniel Beck , Javier Gonzalez , David S. Leslie , Paul Rayson
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