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The dramatic increase of observational data across industries provides unparalleled opportunities for data-driven decision making and management, including the manufacturing industry. In the context of production, data-driven approaches can…

Optimization and Control · Mathematics 2018-01-09 Najibesadat Sadati , Ratna Babu Chinnam , Milad Zafar Nezhad

This paper investigates the data-driven predictive control problems for a class of continuous-time industrial processes with completely unknown dynamics. The proposed approach employs the data-driven technique to get the system matrices…

Optimization and Control · Mathematics 2020-12-08 Yuanqiang Zhou , Dewei Li , Yugeng Xi

Decision-making under uncertainty is often considered in two stages: predicting the unknown parameters, and then optimizing decisions based on predictions. While traditional prediction-focused learning (PFL) treats these two stages…

Machine Learning · Computer Science 2025-09-11 Haeun Jeon , Hyunglip Bae , Chanyeong Kim , Yongjae Lee , Woo Chang Kim

In this paper, we demonstrate how to learn the objective function of a decision-maker while only observing the problem input data and the decision-maker's corresponding decisions over multiple rounds. We present exact algorithms for this…

Optimization and Control · Mathematics 2020-03-31 Andreas Bärmann , Alexander Martin , Sebastian Pokutta , Oskar Schneider

Metasurfaces are subwavelength-structured artificial media that can shape and localize electromagnetic waves in unique ways. The inverse design of these devices is a non-convex optimization problem in a high dimensional space, making global…

Computational Physics · Physics 2019-11-22 Jiaqi Jiang , Jonathan A. Fan

In most machine learning training paradigms a fixed, often handcrafted, loss function is assumed to be a good proxy for an underlying evaluation metric. In this work we assess this assumption by meta-learning an adaptive loss function to…

Machine Learning · Computer Science 2019-05-16 Chen Huang , Shuangfei Zhai , Walter Talbott , Miguel Angel Bautista , Shih-Yu Sun , Carlos Guestrin , Josh Susskind

We introduce the concept of decision-focused surrogate modeling for solving computationally challenging nonlinear optimization problems in real-time settings. The proposed data-driven framework seeks to learn a simpler, e.g. convex,…

Optimization and Control · Mathematics 2023-12-27 Rishabh Gupta , Qi Zhang

We consider the problem of estimating the transition dynamics $T^*$ from near-optimal expert trajectories in the context of offline model-based reinforcement learning. We develop a novel constraint-based method, Inverse Transition Learning,…

Machine Learning · Computer Science 2026-04-29 Leo Benac , Abhishek Sharma , Sonali Parbhoo , Finale Doshi-Velez

Surrogate model-based optimization has been increasingly used in the field of engineering design. It involves creating a surrogate model with objective functions or constraints based on the data obtained from simulations or real-world…

Optimization and Control · Mathematics 2023-08-28 Minyoung Jwa , Jihoon Kim , Seungyeon Shin , Ah-hyeon Jin , Dongju Shin , Namwoo Kang

Learning representations for solutions of constrained optimization problems (COPs) with unknown cost functions is challenging, as models like (Variational) Autoencoders struggle to enforce constraints when decoding structured outputs. We…

Machine Learning · Computer Science 2025-09-22 Alan A. Lahoud , Erik Schaffernicht , Johannes A. Stork

Inverse optimization (Inverse optimal control) is the task of imputing a cost function such that given test points (trajectories) are (nearly) optimal with respect to the discovered cost. Prior methods in inverse optimization assume that…

Optimization and Control · Mathematics 2025-10-21 Filip Bečanović , Jared Miller , Vincent Bonnet , Kosta Jovanović , Samer Mohammed

This paper deals with the problem of accurately determining guaranteed suboptimal values of an unknown cost function on the basis of noisy measurements. We consider a set-valued variant to regression where, instead of finding a best…

Optimization and Control · Mathematics 2024-07-29 Jaap Eising , Jorge Cortes

Digital twinning offers a capability of effective real-time monitoring and control, which are vital for cost-intensive experimental facilities, particularly the ones where extreme conditions exist. Sparse experimental measurements collected…

Computational Engineering, Finance, and Science · Computer Science 2024-10-10 Wiera Bielajewa , Michelle Baxter , Perumal Nithiarasu

We present an efficient, effective, and generic approach towards solving inverse problems. The key idea is to leverage the feedback signal provided by the forward process and learn an iterative update model. Specifically, at each iteration,…

Computer Vision and Pattern Recognition · Computer Science 2021-01-20 Wei-Chiu Ma , Shenlong Wang , Jiayuan Gu , Sivabalan Manivasagam , Antonio Torralba , Raquel Urtasun

This work is focussed on the inversion task of inferring the distribution over parameters of interest leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by increasing…

Machine Learning · Statistics 2026-05-06 Arnaud Vadeboncoeur , Mark Girolami , Andrew M. Stuart

This paper proposes inverse feature learning as a novel supervised feature learning technique that learns a set of high-level features for classification based on an error representation approach. The key contribution of this method is to…

Machine Learning · Computer Science 2020-03-10 Behzad Ghazanfari , Fatemeh Afghah , MohammadTaghi Hajiaghayi

Inverse optimal control can be used to characterize behavior in sequential decision-making tasks. Most existing work, however, is limited to fully observable or linear systems, or requires the action signals to be known. Here, we introduce…

Machine Learning · Computer Science 2023-10-31 Dominik Straub , Matthias Schultheis , Heinz Koeppl , Constantin A. Rothkopf

Parametrized measures (or Young measures) enable to reformulate non-convex variational problems as convex problems at the cost of enlarging the search space from space of functions to space of measures. To benefit from such machinery, we…

Numerical Analysis · Mathematics 2025-11-04 Rayehe Karimi Mahabadi , Jianfeng Lu , Hossein Salahshoor

We introduce the Optimizing a Discrete Loss (ODIL) framework for the numerical solution of Partial Differential Equations (PDE) using machine learning tools. The framework formulates numerical methods as a minimization of discrete residuals…

Numerical Analysis · Mathematics 2024-01-23 Petr Karnakov , Sergey Litvinov , Petros Koumoutsakos

This paper presents an approach for data-driven policy refinement in reinforcement learning, specifically designed for safety-critical applications. Our methodology leverages the strengths of data-driven optimization and reinforcement…

Machine Learning · Computer Science 2023-05-16 Ali Baheri
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