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The present paper proposes a Bayesian framework for inverse problems that seamlessly integrates optimization and inversion to enable rapid surrogate modeling, accurate parameter inference, and rigorous uncertainty quantification. Bayesian…

Computational Engineering, Finance, and Science · Computer Science 2026-02-05 Mihaela Chiappetta , Massimo Carraturo , Alexander Raßloff , Markus Kästner , Ferdinando Auricchio

Creating impact in real-world settings requires artificial intelligence techniques to span the full pipeline from data, to predictive models, to decisions. These components are typically approached separately: a machine learning model is…

Machine Learning · Computer Science 2018-11-22 Bryan Wilder , Bistra Dilkina , Milind Tambe

This research considers the ranking and selection (R&S) problem of selecting the optimal subset from a finite set of alternative designs. Given the total simulation budget constraint, we aim to maximize the probability of correctly…

Optimization and Control · Mathematics 2019-04-25 Fei Gao , Zhongshun Shi , Siyang Gao , Hui Xiao

Multifidelity surrogate modelling combines data of varying accuracy and cost from different sources. It strategically uses low-fidelity models for rapid evaluations, saving computational resources, and high-fidelity models for detailed…

Machine Learning · Computer Science 2024-04-24 Daniel N Wilke

Feedback optimization has emerged as a promising approach for regulating dynamical systems to optimal steady states that are implicitly defined by underlying optimization problems. Despite their effectiveness, existing methods face two key…

Optimization and Control · Mathematics 2025-09-18 Gianluca Bianchin , Bryan Van Scoy

Adversarial training can be used to learn models that are robust against perturbations. For linear models, it can be formulated as a convex optimization problem. Compared to methods proposed in the context of deep learning, leveraging the…

Machine Learning · Statistics 2025-03-20 Antônio H. RIbeiro , Thomas B. Schön , Dave Zahariah , Francis Bach

Learning a reward function from demonstrations suffers from low sample-efficiency. Even with abundant data, current inverse reinforcement learning methods that focus on learning from a single environment can fail to handle slight changes in…

Machine Learning · Computer Science 2024-05-15 Thomas Kleine Buening , Victor Villin , Christos Dimitrakakis

The presence of uncertainty in material properties and geometry of a structure is ubiquitous. The design of robust engineering structures, therefore, needs to incorporate uncertainty in the optimization process. Stochastic gradient descent…

Optimization and Control · Mathematics 2019-11-26 Subhayan De , Kurt Maute , Alireza Doostan

Machine learning has enabled significant benefits in diverse fields, but, with a few exceptions, has had limited impact on computer architecture. Recent work, however, has explored broader applicability for design, optimization, and…

Hardware Architecture · Computer Science 2019-09-30 Drew D. Penney , Lizhong Chen

Mechanisms are designed to perform functions in various fields. Often, there is no unique mechanism that performs a well-defined function. For example, vehicle suspensions are designed to improve driving performance and ride comfort, but…

Computational Physics · Physics 2025-05-26 Sumin Lee , Namwoo Kang

Inverse design of morphing slender structures with programmable curvature has significant applications in various engineering fields. Most existing studies formulate it as an optimization problem, which requires repeatedly solving the…

Soft Condensed Matter · Physics 2025-08-28 JiaHao Li , Weicheng Huang , YinBo Zhu , Luxia Yu , Xiaohao Sun , Mingchao Liu , HengAn Wu

Discrete optimization belongs to the set of $\mathcal{NP}$-hard problems, spanning fields such as mixed-integer programming and combinatorial optimization. A current standard approach to solving convex discrete optimization problems is the…

Machine Learning · Computer Science 2024-02-28 Kyle Mana , Fernando Acero , Stephen Mak , Parisa Zehtabi , Michael Cashmore , Daniele Magazzeni , Manuela Veloso

Efficient optimization remains a fundamental challenge across numerous scientific and engineering domains, especially when objective function and gradient evaluations are computationally expensive. While zeroth-order optimization methods…

Machine Learning · Computer Science 2025-11-04 Nuojin Cheng , Alireza Doostan , Stephen Becker

The braking performance of the brake system is a target performance that must be considered for vehicle development. Apparent piston travel (APT) and drag torque are the most representative factors for evaluating braking performance. In…

Machine Learning · Computer Science 2022-03-01 Seongsin Kim , Minyoung Jwa , Soonwook Lee , Sunghoon Park , Namwoo Kang

In this paper, we scale evolutionary algorithms to high-dimensional optimization problems that deceptively possess a low effective dimensionality (certain dimensions do not significantly affect the objective function). To this end, an…

Neural and Evolutionary Computing · Computer Science 2024-01-02 Yaqing Hou , Mingyang Sun , Abhishek Gupta , Yaochu Jin , Haiyin Piao , Hongwei Ge , Qiang Zhang

Safety validation is a crucial component in the development and deployment of autonomous systems, such as self-driving vehicles and robotic systems. Ensuring safe operation necessitates extensive testing and verification of control…

Systems and Control · Electrical Eng. & Systems 2023-05-11 Ali Baheri , Mykel J. Kochenderfer

Inverse methods of statistical mechanics have facilitated the discovery of pair potentials that stabilize a wide variety of targeted lattices at zero temperature. However, such methods are complicated by the need to compare, within the…

Statistical Mechanics · Physics 2016-09-19 Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

In this paper, we address the challenging problem of optimal experimental design (OED) of constrained inverse problems. We consider two OED formulations that allow reducing the experimental costs by minimizing the number of measurements.…

Numerical Analysis · Mathematics 2017-08-17 Lars Ruthotto , Julianne Chung , Matthias Chung

Inverse design aims to find design parameters $x$ achieving target performance $y^*$. Generative approaches learn bidirectional mappings between designs and labels, enabling diverse solution sampling. However, standard conditional flow…

Machine Learning · Computer Science 2026-03-18 Miguel de Campos , Werner Krebs , Hanno Gottschalk

Mixed-integer optimization problems arise in a wide range of control applications. Benders decomposition is a widely used algorithm for solving such problems by decomposing them into a mixed-integer master problem and a continuous…

Optimization and Control · Mathematics 2026-04-07 Bernard T. Agyeman , Zhe Li , Ilias Mitrai , Prodromos Daoutidis