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Bayesian inverse modeling is important for a better understanding of hydrological processes. However, this approach can be computationally demanding, as it usually requires a large number of model evaluations. To address this issue, one can…

Computation · Statistics 2020-02-24 Jiangjiang Zhang , Qiang Zheng , Dingjiang Chen , Laosheng Wu , Lingzao Zeng

We present a new data-driven model to reconstruct nonlinear flow from spatially sparse observations. The model is a version of a conditional variational auto-encoder (CVAE), which allows for probabilistic reconstruction and thus uncertainty…

Machine Learning · Statistics 2021-02-24 Kristian Gundersen , Anna Oleynik , Nello Blaser , Guttorm Alendal

The increasing penetration of renewable energy sources introduces significant uncertainty in power system operations, making traditional deterministic unit commitment approaches computationally expensive. This paper presents a machine…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Amir Bahador Javadi , Amin Kargarian , Mort Naraghi-Pour

The optimization of large-scale multibody systems is a numerically challenging task, in particular when considering multiple conflicting criteria at the same time. In this situation, we need to approximate the Pareto set of optimal…

Optimization and Control · Mathematics 2024-12-20 Augustina C. Amakor , Manuel B. Berkemeier , Meike Wohlleben , Walter Sextro , Sebastian Peitz

This paper introduces a modular and scalable design optimization framework for the glider wing design process that enables faster early-phase design while ensuring aerodynamic stability. The pipeline starts with the generation of initial…

Neural and Evolutionary Computing · Computer Science 2026-05-06 Arash Fath Lipaei , AmirHossein Ghaemi , Melika Sabzikari

Surrogate models for partial-differential equations are widely used in the design of meta-materials to rapidly evaluate the behavior of composable components. However, the training cost of accurate surrogates by machine learning can rapidly…

Machine Learning · Computer Science 2020-11-04 Raphaël Pestourie , Youssef Mroueh , Thanh V. Nguyen , Payel Das , Steven G. Johnson

Adding flexible polymers to a Newtonian solvent confers complex properties to the resulting solution. The additional complexity substantially increases the computational cost of numerical simulations, which often makes them prohibitively…

Fluid Dynamics · Physics 2026-04-30 Christian Amor , Adrián Corrochano , Marco Edoardo Rosti , Soledad Le Clainche

A fundamental challenge in the design of photonic devices, and electromagnetic structures more generally, is the optimization of their overall architecture to achieve a desired response. To this end, topology or shape optimizers based on…

The properties of films assembled by drying colloidal-particle suspensions depend sensitively on both the particles and the processing conditions, making them challenging to engineer. In this work, we develop and test an inverse-design…

Soft Condensed Matter · Physics 2025-09-16 Mayukh Kundu , Michaela Bush , Chris A. Kieslich , Michael P. Howard

In this work we explore surrogate models to optimize plasma enhanced atomic layer deposition (PEALD) in high aspect ratio features. In plasma-based processes such as PEALD and atomic layer etching, surface recombination can dominate the…

Materials Science · Physics 2025-06-12 Angel Yanguas-Gil , Jeffrey W. Elam

Physical models classically involved Partial Differential equations (PDE) and depending of their underlying complexity and the level of accuracy required, and known to be computationally expensive to numerically solve them. Thus, an idea…

Machine Learning · Computer Science 2025-05-14 Chetra Mang , Axel TahmasebiMoradi , David Danan , Mouadh Yagoubi

In general, standard necessary optimality conditions cannot be formulated in a straightforward manner for semi-smooth shape optimization problems. In this paper, we consider shape optimization problems constrained by variational…

Optimization and Control · Mathematics 2020-12-17 Daniel Luft , Volker H. Schulz , Kathrin Welker

A computationally efficient method is presented for approximate optimization of cutting pattern of frame-supported and pneumatic membrane structures. The plane cutting sheet is generated by minimizing the error from the shape obtained by…

Optimization and Control · Mathematics 2017-12-14 Makoto Ohsaki , Jun Fujiwara , Fumiyoshi Takeda

Learning-based surrogate models have become a practical alternative to high-fidelity CFD solvers, but their latent representations remain opaque and hinder adoption in safety-critical or regulation-bound settings. This work introduces a…

Computational Engineering, Finance, and Science · Computer Science 2025-07-23 Yeping Hu , Shusen Liu

Calibration of unknown model parameters is a common task in many ocean model applications. We present an adjoint-based optimization of an unstructured mesh shallow water model for the Baltic Sea. Spatially varying bottom friction parameter…

Atmospheric and Oceanic Physics · Physics 2023-10-10 Tuomas Kärnä , Joseph G. Wallwork , Stephan C. Kramer

Layout design with complex constraints is a challenging problem to solve due to the non-uniqueness of the solution and the difficulties in incorporating the constraints into the conventional optimization-based methods. In this paper, we…

Signal Processing · Electrical Eng. & Systems 2018-06-11 Yujie Zhang , Wenjing Ye

Variational Autoencoders and Generative Adversarial Networks remained the state-of-the-art (SOTA) generative models until 2022. Now they are superseded by diffusion-based models. Efforts to improve traditional models have stagnated as a…

Machine Learning · Computer Science 2026-03-10 Tuhin Subhra De

Multiple shapes must be obtained in the mechanical design process to satisfy the required design specifications. The inverse design problem has been analyzed in previous studies to obtain such shapes. However, finding multiple shapes in a…

Computational Engineering, Finance, and Science · Computer Science 2021-06-21 Kazuo Yonekura , Kazunari Wada , Katsuyuki Suzuki

Data-driven surrogate models are widely used for applications such as design optimization and uncertainty quantification, where repeated evaluations of an expensive simulator are required. For most partial differential equation (PDE)…

Computational Physics · Physics 2019-10-18 Wei Xing , Robert M. Kirby , Shandian Zhe

A probabilistic performance-oriented control design optimization approach is introduced for flight systems. Aiming at estimating rare-event probabilities accurately and efficiently, subset simulation is combined with surrogate modeling…

Systems and Control · Electrical Eng. & Systems 2021-04-20 Dalong Shi , Florian Holzapfel