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We consider the problem of constructing surrogate operators for parameter-to-solution maps arising from parametric partial differential equations, where repeated forward model evaluations are computationally expensive. We present a…

Machine Learning · Computer Science 2026-04-02 Josephine Westermann , Benno Huber , Thomas O'Leary-Roseberry , Jakob Zech

Hyperparameter optimization (HPO) is generally treated as a bi-level optimization problem that involves fitting a (probabilistic) surrogate model to a set of observed hyperparameter responses, e.g. validation loss, and consequently…

Machine Learning · Computer Science 2021-10-18 Hadi S. Jomaa , Jonas Falkner , Lars Schmidt-Thieme

Novel photovoltaics, such as perovskites and perovskite-inspired materials, have shown great promise due to high efficiency and potentially low manufacturing cost. So far, solar cell R&D has mostly focused on achieving record efficiencies,…

In climate systems, physiological models, optics, and many more, surrogate models are developed to reconstruct chaotic dynamical systems. We introduce four data-driven measures using global attractor properties to evaluate the quality of…

Computational Physics · Physics 2025-06-12 Luci Fumagalli , Kathy Lüdge , Jana de Wiljes , Heikki Haario , Lina Jaurigue

The energy transition entails a rapid uptake of renewable energy sources. Besides physical changes within the grid infrastructure, energy storage devices and their smart operation are key measures to master the resulting challenges like,…

Optimization and Control · Mathematics 2019-11-13 Manuel Baumann , Sara Grundel , Philipp Sauerteig , Karl Worthmann

Our ability to structure materials at the nanoscale has, and continues to, enable key advances in optical control. In pursuit of optimal photonic designs, substantial progress has been made on two complementary fronts: bottom-up structural…

Accurate and predictive scale-resolving simulations of laser-ignited rocket engines are highly time-consuming because the problem includes turbulent fuel-oxidizer mixing dynamics, laser-induced energy deposition, and high-speed flame…

Machine Learning · Computer Science 2026-03-10 Tony Zahtila , Ettore Saetta , Murray Cutforth , Davy Brouzet , Diego Rossinelli , Gianluca Iaccarino

Surface registration is a technique that is used in various areas such as object recognition and 3D model reconstruction. Problem of surface registration can be analyzed as an optimization problem of seeking a rigid motion between two…

Computer Vision and Pattern Recognition · Computer Science 2013-10-02 Vedran Hrgetić , Tomislav Pribanić

Metasurfaces provide the disruptive technology enabling miniaturization of complex cascades of optical elements on a plane. We leverage the benefits of such a surface to develop a planar integrated photonic beam collimator for on-chip…

Applied Physics · Physics 2019-11-21 Robin Singh , Yuqi Nie , Anuradha Murthy Agarwal , Brian W Anthony

Conjugated organic molecules represent an important area of materials chemistry for both fundamental scientific exploration and technological applications. Using a genetic algorithm to computationally screen up to ~25-50 million molecules…

Applied Physics · Physics 2017-07-14 Ilana Y. Kanal , Geoffrey R. Hutchison

Surrogate-based optimization, nature-inspired metaheuristics, and hybrid combinations have become state of the art in algorithm design for solving real-world optimization problems. Still, it is difficult for practitioners to get an overview…

Neural and Evolutionary Computing · Computer Science 2021-01-26 Jörg Stork , A. E. Eiben , Thomas Bartz-Beielstein

Building local surrogates to accelerate stationary point searches on potential energy surfaces spans decades of effort. Done correctly, surrogates can reduce the number of expensive electronic structure evaluations by roughly an order of…

Machine Learning · Statistics 2026-04-30 Rohit Goswami

Optimal experimental design (OED) plays an important role in the problem of identifying uncertainty with limited experimental data. In many applications, we seek to minimize the uncertainty of a predicted quantity of interest (QoI) based on…

Optimization and Control · Mathematics 2022-01-06 Keyi Wu , Peng Chen , Omar Ghattas

In a task where many similar inverse problems must be solved, evaluating costly simulations is impractical. Therefore, replacing the model $y$ with a surrogate model $y_s$ that can be evaluated quickly leads to a significant speedup. The…

Numerical Analysis · Mathematics 2024-05-15 Phillip Semler , Martin Weiser

The efficient, automated search for well-performing neural architectures (NAS) has drawn increasing attention in the recent past. Thereby, the predominant research objective is to reduce the necessity of costly evaluations of neural…

Machine Learning · Computer Science 2022-08-02 Jovita Lukasik , Steffen Jung , Margret Keuper

It is now well known that Markov random fields (MRFs) are particularly effective for modeling image priors in low-level vision. Recent years have seen the emergence of two main approaches for learning the parameters in MRFs: (1)…

Computer Vision and Pattern Recognition · Computer Science 2014-01-17 Yunjin Chen , Thomas Pock , René Ranftl , Horst Bischof

Machine learning and optimization algorithms have been widely applied in the design and optimization for photonic devices. In this article, we briefly review recent progress of this field of research and show some data-driven applications…

Optics · Physics 2020-07-15 Tian Zhang , Qi Liu , Yihang Dan , Shuai Yu , Xu Han , Jian Dai , Kun Xu

In this paper, we propose a fast surrogate leverage weighted sampling strategy to generate refined random Fourier features for kernel approximation. Compared to the current state-of-the-art method that uses the leverage weighted scheme…

Machine Learning · Computer Science 2019-11-22 Fanghui Liu , Xiaolin Huang , Yudong Chen , Jie Yang , Johan A. K. Suykens

We propose using a Genetic Algorithm to improve the efficiency of reflexive surfaces in devices where the receiver's position is different from the classic parabolic antenna. With this technique, we show that we can improve the efficiency…

Instrumentation and Detectors · Physics 2023-03-08 A. Steklain , M. Adames , F. Ganacim

Metasurfaces, sub-wavelength artificial structures, can control light's amplitude, phase, and polar ization, enabling applications in efficient imaging, holograms, and sensing. Recent years, AI has witnessed remarkable progress and spurred…

Optics · Physics 2025-04-22 Jiahao Yan , Jilong Yi , Churong Ma , Yanjun Bao , Qin Chen , Baojun Li