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We introduce a new method to jointly reduce the dimension of the input and output space of a function between high-dimensional spaces. Choosing a reduced input subspace influences which output subspace is relevant and vice versa.…

Machine Learning · Statistics 2025-04-01 Qiao Chen , Elise Arnaud , Ricardo Baptista , Olivier Zahm

Soft robots achieve functionality through tight coupling among geometry, material composition, and actuation. As a result, effective design optimization requires these three aspects to be considered jointly rather than in isolation. This…

Robotics · Computer Science 2026-03-09 Vittorio Candiello , Manuel Mekkattu , Mike Y. Michelis , Robert K. Katzschmann

Space-filling designs are crucial for efficient computer experiments, enabling accurate surrogate modeling and uncertainty quantification in many scientific and engineering applications, such as digital twin systems and cyber-physical…

Methodology · Statistics 2025-08-06 Xinwei Deng , Lulu Kang , C. Devon Lin

This study focuses on the development of reinforcement learning based techniques for the design of microelectronic components under multiphysics constraints. While traditional design approaches based on global optimization approaches are…

Computational Physics · Physics 2025-04-25 Siddharth Nair , Timothy F. Walsh , Greg Pickrell , Fabio Semperlotti

Within the framework of complex system design, it is often necessary to solve mixed variable optimization problems, in which the objective and constraint functions can depend simultaneously on continuous and discrete variables.…

Optimization and Control · Mathematics 2020-03-10 Julien Pelamatti , Loic Brevault , Mathieu Balesdent , El-Ghazali Talbi , Yannick Guerin

Computer experiments are often performed to allow modeling of a response surface of a physical experiment that can be too costly or difficult to run except using a simulator. Running the experiment over a dense grid can be prohibitively…

Applications · Statistics 2009-05-25 Robert B. Gramacy , Herbert K. H. Lee

The automated construction of coarse-grained models represents a pivotal component in computer simulation of physical systems and is a key enabler in various analysis and design tasks related to uncertainty quantification. Pertinent methods…

Machine Learning · Statistics 2019-09-11 Constantin Grigo , Phaedon-Stelios Koutsourelakis

The deepening of the penetration of renewable energy is challenging how power system operators cope with their associated variability and uncertainty. The inherent flexibility of dispathchable assets present in power systems, which is often…

Optimization and Control · Mathematics 2024-08-19 Mohamed Awadalla , François Bouffard

Nanoscale design of surfaces and interfaces is essential for modern technologies like organic LEDs, batteries, fuel cells, superlubricating surfaces, and heterogeneous catalysis. However, these systems often exhibit complex surface…

Materials Science · Physics 2025-07-08 Lukas Hörmann , Wojciech G. Stark , Reinhard J. Maurer

The two-dimensional layout optimization problem reinforced by the efficient space utilization demand has a wide spectrum of practical applications. Formulating the problem as a nonlinear minimization problem under planar equality and/or…

Data Structures and Algorithms · Computer Science 2009-02-19 Dorit Ron , Ilya Safro , Achi Brandt

An iterative optimization approach that simultaneously minimizes the energy and optimizes the Lagrange multipliers enforcing desired constraints is presented. The method is tested on previously established benchmark systems and it is proved…

Computational Physics · Physics 2018-08-15 D. Kidd , A. S. Umar , K. Varga

Optimization under structural constraints is typically analyzed through projection or penalty methods, obscuring the geometric mechanism by which constraints shape admissible dynamics. We propose an operator-theoretic formulation in which…

Optimization and Control · Mathematics 2026-03-10 Changkai Li

An AI system for professional floor plan design must precisely control room dimensions and areas while respecting the desired connectivity between rooms and maintaining functional and aesthetic quality. Existing generative approaches focus…

Computation and Language · Computer Science 2026-05-15 Luis Lara , Aristides Milios , Zhi Hao Luo , Aditya Sharma , Ge Ya Luo , Christopher Beckham , Florian Golemo , Christopher Pal

Constrained reinforcement learning is to maximize the expected reward subject to constraints on utilities/costs. However, the training environment may not be the same as the test one, due to, e.g., modeling error, adversarial attack,…

Machine Learning · Computer Science 2022-09-16 Yue Wang , Fei Miao , Shaofeng Zou

We propose and analyze sequential design methods for the problem of ranking several response surfaces. Namely, given $L \ge 2$ response surfaces over a continuous input space $\cal X$, the aim is to efficiently find the index of the minimal…

Machine Learning · Statistics 2017-10-17 Ruimeng Hu , Mike Ludkovski

Federated Learning (FL) over wireless network enables data-conscious services by leveraging the ubiquitous intelligence at network edge for privacy-preserving model training. As the proliferation of context-aware services, the diversified…

Machine Learning · Computer Science 2022-02-08 Y. Li , X. Qin , H. Chen , K. Han , P. Zhang

This work explores an extension of machine learning-optimized piecewise polynomial approximation by incorporating energy optimization as an additional objective. Traditional closed-form solutions enable continuity and approximation targets…

Machine Learning · Computer Science 2025-08-08 Hannes Waclawek , Stefan Huber

In complex simulation environments, certain parameter space regions may result in non-convergent or unphysical outcomes. All parameters can therefore be labeled with a binary class describing whether or not they lead to valid results. In…

Applications · Statistics 2019-02-19 Raoul Heese , Michal Walczak , Tobias Seidel , Norbert Asprion , Michael Bortz

This paper formulates an input design approach for truncated infinite impulse response identification in the context of implicit model representations recently used as basis for data-driven simulation and control approaches. Precisely, the…

Systems and Control · Electrical Eng. & Systems 2021-04-13 Andrea Iannelli , Mingzhou Yin , Roy S. Smith

Nanophotonics finds ever broadening applications requiring complex component designs with a large number of parameters to be simultaneously optimized. Recent methodologies employing optimization algorithms commonly focus on a single design…

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