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This paper derives new algorithms for signomial programming, a generalization of geometric programming. The algorithms are based on a generic principle for optimization called the MM algorithm. In this setting, one can apply the…

Numerical Analysis · Mathematics 2013-10-22 Kenneth Lange , Hua Zhou

We present a combined numerical and data-driven workflow for efficient prediction of nonlinear, instationary convection-diffusion-reaction dynamics on a two-dimensional phenotypic domain, motivated by macroscopic modeling of cancer cell…

Computational Engineering, Finance, and Science · Computer Science 2026-02-02 Michael Urs Lars Kastor , Jan Rottmayer , Anna Hundertmark , Nicolas Ralph Gauger

A common challenge in computer experiments and related fields is to efficiently explore the input space using a small number of samples, i.e., the experimental design problem. Much of the recent focus in the computer experiment literature,…

Methodology · Statistics 2019-07-01 Boya Zhang , D. Austin Cole , Robert B. Gramacy

High-fidelity numerical simulations of partial differential equations (PDEs) given a restricted computational budget can significantly limit the number of parameter configurations considered and/or time window evaluated for modeling a given…

Machine Learning · Computer Science 2023-09-04 Paolo Conti , Mengwu Guo , Andrea Manzoni , Attilio Frangi , Steven L. Brunton , J. Nathan Kutz

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

Simulation-based problems involving mixed-variable inputs frequently feature domains that are hierarchical, conditional, heterogeneous, or tree-structured. These characteristics pose challenges for data representation, modeling, and…

Machine Learning · Computer Science 2026-01-21 Paul Saves , Edward Hallé-Hannan , Jasper Bussemaker , Youssef Diouane , Nathalie Bartoli

This paper presents a novel methodology for tractably solving optimal control and offline reinforcement learning problems for high-dimensional systems. This work is motivated by the ongoing challenges of safety, computation, and optimality…

Optimization and Control · Mathematics 2022-07-06 Aaron Kandel , Saehong Park , Scott Moura

Machine learning has been effective at detecting patterns and predicting the response of systems that behave free of natural laws. Examples include learning crowd dynamics, recommender systems and autonomous mobility. There also have been…

Computational Physics · Physics 2018-12-05 Gregory Teichert , Krishna Garikipati

Photonic surfaces designed with specific optical characteristics are becoming increasingly important for use in in various energy harvesting and storage systems. , In this study, we develop a surrogate-based optimization approach for…

Optimization and Control · Mathematics 2024-07-08 Luka Grbcic , Minok Park , Juliane Müller , Vassilia Zorba , Wibe Albert de Jong

Concentrating solar thermal power is an emerging renewable technology with accessible storage options to generate electricity when required. Central receiver systems or solar towers have the highest commercial potential in large-scale power…

Fluid Dynamics · Physics 2022-10-18 Tufan Akba , Derek K. Baker , M. Pinar Menguc

The paper presents a sensitivity analysis of the factors affecting the optimal partitioning of a district heating network for distributed control. Leveraging a physics-based, distributed model predictive control framework and a…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Audrey Blizard , Stephanie Stockar

The problem of maximizing precision at the top of a ranked list, often dubbed Precision@k (prec@k), finds relevance in myriad learning applications such as ranking, multi-label classification, and learning with severe label imbalance.…

Machine Learning · Statistics 2015-05-27 Purushottam Kar , Harikrishna Narasimhan , Prateek Jain

We employ an evolutionary optimization framework that perturbs initial states to generate informative and diverse policy demonstrations. A joint surrogate fitness function guides the optimization by combining local diversity, behavioral…

Machine Learning · Computer Science 2025-04-22 Philipp Altmann , Céline Davignon , Maximilian Zorn , Fabian Ritz , Claudia Linnhoff-Popien , Thomas Gabor

This work proposes a data-driven surrogate modeling framework for cost-effectively inferring the torque of a permanent magnet synchronous machine under geometric design variations. The framework is separated into a reduced-order modeling…

Computational Engineering, Finance, and Science · Computer Science 2025-03-13 Aylar Partovizadeh , Sebastian Schöps , Dimitrios Loukrezis

In the present work, a new methodology is proposed for building surrogate parametric models of engineering systems based on modular assembly of pre-solved modules. Each module is a generic parametric solution considering parametric…

Computational Engineering, Finance, and Science · Computer Science 2024-03-15 Angelo Pasquale , Mohammad-Javad Kazemzadeh-Parsi , Daniele Di Lorenzo , Victor Champaney , Amine Ammar , Francisco Chinesta

Within an industrial manufacturing process, tolerancing is a key player. The dimensions uncertainties management starts during the design phase, with an assessment on variability of parts not yet produced. For one assembly step, we can gain…

Applications · Statistics 2019-12-20 Ambre Diet , Nicolas Couellan , Xavier Gendre , Julien Martin

Correlated with the trend of increasing degrees of freedom in robotic systems is a similar trend of rising interest in Spatio-Temporal systems described by Partial Differential Equations (PDEs) among the robotics and control communities.…

Robotics · Computer Science 2021-02-19 Ethan N. Evans , Andrew P. Kendall , Evangelos A. Theodorou

We introduce a statistical physics inspired supervised machine learning algorithm for classification and regression problems. The method is based on the invariances or stability of predicted results when known data is represented as…

Machine Learning · Statistics 2018-11-19 Patrick Chao , Tahereh Mazaheri , Bo Sun , Nicholas B. Weingartner , Zohar Nussinov

Any strategy used to distribute a robot ensemble over a set of sequential tasks is subject to inaccuracy due to robot-level uncertainties and environmental influences on the robots' behavior. We approach the problem of inaccuracy during…

Robotics · Computer Science 2022-12-21 Thales C. Silva , Victoria Edwards , M. Ani Hsieh

We introduce a method to construct a stochastic surrogate model from the results of dimensionality reduction in forward uncertainty quantification. The hypothesis is that the high-dimensional input augmented by the output of a computational…

Applications · Statistics 2026-02-12 Jungho Kim , Sang-ri Yi , Ziqi Wang