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Mathematical models simulate various events under different conditions, enabling an early overview of the system to be implemented in practice, reducing the waste of resources and in less time. In project optimization, these models play a…

Optimization and Control · Mathematics 2021-05-11 Gustavo Barbosa Libotte , Fran Sérgio Lobato , Francisco Duarte Moura Neto , Gustavo Mendes Platt

A computer model can be used for predicting an output only after specifying the values of some unknown physical constants known as calibration parameters. The unknown calibration parameters can be estimated from real data by conducting…

Methodology · Statistics 2021-06-18 Arvind Krishna , V. Roshan Joseph , Shan Ba , William A. Brenneman , William R. Myers

Model-based experimental design is attracting increasing attention in chemical process engineering. Typically, an iterative procedure is pursued: an approximate model is devised, prescribed experiments are then performed and the resulting…

Optimization and Control · Mathematics 2021-01-25 Charlie Vanaret , Philipp Seufert , Jan Schwientek , Gleb Karpov , Gleb Ryzhakov , Ivan Oseledets , Norbert Asprion , Michael Bortz

Many chemical and biological experiments involve multiple treatment factors and often it is convenient to fit a nonlinear model in these factors. This nonlinear model can be mechanistic, empirical or a hybrid of the two. Motivated by…

Computation · Statistics 2018-10-09 Yuanzhi Huang , Steven Gilmour , Kalliopi Mylona , Peter Goos

Robust optimization is a method for optimization under uncertainties in engineering systems and designs for applications ranging from aeronautics to nuclear. In a robust design process, parameter variability (or uncertainty) is incorporated…

Computation · Statistics 2022-10-17 Richa Verma , Dinesh Kumar , Kazuma Kobayashi , Syed Alam

This paper presents a novel robust trajectory optimization method for constrained nonlinear dynamical systems subject to unknown bounded disturbances. In particular, we seek optimal control policies that remain robustly feasible with…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

Optimal experimental design is a well studied field in applied science and engineering. Techniques for estimating such a design are commonly used within the framework of parameter estimation. Nonetheless, in recent years parameter…

Machine Learning · Statistics 2025-01-13 Md Shahriar Rahim Siddiqui , Arman Rahmim , Eldad Haber

We propose a general methodology of sequential locally optimal design of experiments for explicit or implicit nonlinear models, as they abound in chemical engineering and, in particular, in vapor-liquid equilibrium modeling. As a sequential…

Optimization and Control · Mathematics 2024-03-15 Martin Bubel , Jochen Schmid , Volodymyr Kozachynskyi , Erik Esche , Michael Bortz

Experimental design has emerged as a powerful approach for improving the sample efficiency of A/B testing, yet existing designs rely critically on correctly specified models. We study robust sequential experimental design under model…

Machine Learning · Statistics 2026-05-14 Qianglin Wen , Xiangkun Wu , Chengchun Shi , Ting Li , Niansheng Tang , Yingying Zhang , Hongtu Zhu

This work proposes a framework for multistage adjustable robust optimization that unifies the treatment of three different types of endogenous uncertainty, where decisions, respectively, (i) alter the uncertainty set, (ii) affect the…

Optimization and Control · Mathematics 2020-08-31 Qi Zhang , Wei Feng

As NLP models achieved state-of-the-art performances over benchmarks and gained wide applications, it has been increasingly important to ensure the safe deployment of these models in the real world, e.g., making sure the models are robust…

Computation and Language · Computer Science 2022-05-11 Xuezhi Wang , Haohan Wang , Diyi Yang

Robust optimization provides a principled framework for decision-making under uncertainty, with broad applications in finance, engineering, and operations research. In portfolio optimization, uncertainty in expected returns and covariances…

Statistical Finance · Quantitative Finance 2025-10-15 Daniel Cunha Oliveira , Grover Guzman , Nick Firoozye

Decision making needs to take an uncertain environment into account. Over the last decades, robust optimization has emerged as a preeminent method to produce solutions that are immunized against uncertainty. The main focus in robust…

Optimization and Control · Mathematics 2021-02-11 Marc Goerigk , Michael Hartisch

Many robot control scenarios involve assessing system robustness against a task specification. If either the controller or environment are composed of "black-box" components with unknown dynamics, we cannot rely on formal verification to…

Robotics · Computer Science 2022-02-23 Craig Innes , Subramanian Ramamoorthy

We study the robustness of system estimation to parametric perturbations in system dynamics and initial conditions. We define the problem of sensitivity-based parametric uncertainty quantification in dynamical system estimation. The main…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Ayush Pandey

We study an optimization-based approach to construct statistically accurate confidence intervals for simulation performance measures under nonparametric input uncertainty. This approach computes confidence bounds from simulation runs driven…

Methodology · Statistics 2019-02-14 Henry Lam , Huajie Qian

The optimal selection of experimental conditions is essential to maximizing the value of data for inference and prediction, particularly in situations where experiments are time-consuming and expensive to conduct. We propose a general…

Machine Learning · Statistics 2012-12-04 Xun Huan , Youssef M. Marzouk

In this paper, we develop a two-stage data-driven approach to address the adjustable robust optimization problem, where the uncertainty set is adjustable to manage infeasibility caused by significant or poorly quantified uncertainties. In…

Optimization and Control · Mathematics 2025-05-29 Xiaoxing Ren , Alessio Moreschini , Zhongda Chu , Yulong Gao , Thomas Parisini

Distribution shifts are ubiquitous in real-world machine learning applications, posing a challenge to the generalization of models trained on one data distribution to another. We focus on scenarios where data distributions vary across…

Machine Learning · Statistics 2024-06-05 Steven Wilkins-Reeves , Xu Chen , Qi Ma , Christine Agarwal , Aude Hofleitner

The trade-off between optimality and complexity has been one of the most important challenges in the field of robust Model Predictive Control (MPC). To address the challenge, we propose a flexible robust MPC scheme by synergizing the…

Systems and Control · Electrical Eng. & Systems 2021-03-25 Sankaranarayanan Subramanian , Sergio Lucia , Radoslav Paulen , Sebastian Engell
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