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Neural networks (NNs) are often used as surrogates or emulators of partial differential equations (PDEs) that describe the dynamics of complex systems. A virtually negligible computational cost of such surrogates renders them an attractive…

Numerical Analysis · Mathematics 2021-05-04 Dong H. Song , Daniel M. Tartakovsky

Neural network surrogate models have emerged as a promising approach to model solution fields for a wide variety of boundary value problems encountered in physical modeling. Stochastic problems represent an area of particularly high…

Machine Learning · Statistics 2026-05-18 Noah Wade , Kirubel Teferra

Evaluation metrics in machine learning are often hardly taken as loss functions, as they could be non-differentiable and non-decomposable, e.g., average precision and F1 score. This paper aims to address this problem by revisiting the…

Machine Learning · Computer Science 2022-03-01 Tao Huang , Zekang Li , Hua Lu , Yong Shan , Shusheng Yang , Yang Feng , Fei Wang , Shan You , Chang Xu

Surrogate-assisted evolutionary algorithms (SAEAs) are recently among the most widely studied methods for their capability to solve expensive real-world optimization problems. However, the development of new methods and benchmarking with…

Neural and Evolutionary Computing · Computer Science 2024-02-27 Jakub Kudela , Ladislav Dobrovsky

This paper develops a surrogate model refinement approach for the simulation of dynamical systems and the solution of optimization problems governed by dynamical systems in which surrogates replace expensive-to-compute state- and…

Optimization and Control · Mathematics 2025-09-08 Jonathan R. Cangelosi , Matthias Heinkenschloss

Surrogate-assisted Evolutionary Algorithms~(SAEAs) have shown promising robustness in solving expensive optimization problems. A key aspect that impacts SAEAs' effectiveness is surrogate model selection, which in existing works is…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Yuxin Wu , Hongshu Guo , Ting Huang , Yue-Jiao Gong , Zeyuan Ma

Studies have shown evolution strategies (ES) to be a promising approach for reinforcement learning (RL) with deep neural networks. However, the issue of high sample complexity persists in applications of ES to deep RL over long horizons.…

Neural and Evolutionary Computing · Computer Science 2022-11-15 Nick Zhang , Abhishek Gupta , Zefeng Chen , Yew-Soon Ong

Symbolic regression is a technique that can automatically derive analytic models from data. Traditionally, symbolic regression has been implemented primarily through genetic programming that evolves populations of candidate solutions…

Neural and Evolutionary Computing · Computer Science 2025-04-24 Jiří Kubalík , Robert Babuška

Neuroevolution is one of the methodologies that can be used for learning optimal architecture during training. It uses evolutionary algorithms to generate the topology of artificial neural networks and its parameters. The main benefits are…

Neural and Evolutionary Computing · Computer Science 2022-08-30 M. Pietroń , D. Żurek , K. Faber , R. Corizzo

The existence of a plethora of language models makes the problem of selecting the best one for a custom task challenging. Most state-of-the-art methods leverage transformer-based models (e.g., BERT) or their variants. Training such models…

Machine Learning · Computer Science 2022-05-25 Shikhar Tuli , Bhishma Dedhia , Shreshth Tuli , Niraj K. Jha

Operator-based neural network architectures such as DeepONets have emerged as a promising tool for the surrogate modeling of physical systems. In general, towards operator surrogate modeling, the training data is generated by solving the…

Machine Learning · Computer Science 2024-02-28 Shivam Choubey , Birupaksha Pal , Manish Agrawal

Coarse-scale surrogate models in the context of numerical homogenization of linear elliptic problems with arbitrary rough diffusion coefficients rely on the efficient solution of fine-scale sub-problems on local subdomains whose solutions…

Numerical Analysis · Mathematics 2022-09-07 Fabian Kröpfl , Roland Maier , Daniel Peterseim

We propose a new approach for building recommender systems by adapting surrogate-assisted interactive genetic algorithms. A pool of user-evaluated items is used to construct an approximative model which serves as a surrogate fitness…

Neural and Evolutionary Computing · Computer Science 2019-08-09 Thomas Gabor , Philipp Altmann

Carefully designed activation functions can improve the performance of neural networks in many machine learning tasks. However, it is difficult for humans to construct optimal activation functions, and current activation function search…

Machine Learning · Computer Science 2023-11-10 Garrett Bingham , Risto Miikkulainen

Mixed-precision quantization is a powerful tool to enable memory and compute savings of neural network workloads by deploying different sets of bit-width precisions on separate compute operations. In this work, we present a flexible and…

Neural and Evolutionary Computing · Computer Science 2022-04-05 Santiago Miret , Vui Seng Chua , Mattias Marder , Mariano Phielipp , Nilesh Jain , Somdeb Majumdar

Bayesian optimization has been shown to be a powerful tool for solving black box problems during online accelerator optimization. The major advantage of Bayesian based optimization techniques is the ability to include prior information…

Accelerator Physics · Physics 2022-11-17 Connie Xu , Ryan Roussel , Auralee Edelen

The development of efficient surrogates for partial differential equations (PDEs) is a critical step towards scalable modeling of complex, multiscale systems-of-systems. Convolutional neural networks (CNNs) have gained popularity as the…

Machine Learning · Computer Science 2025-06-04 Adrienne M. Propp , Daniel M. Tartakovsky

Surrogate assisted evolutionary algorithms (EA) are rapidly gaining popularity where applications of EA in complex real world problem domains are concerned. Although EAs are powerful global optimizers, finding optimal solution to complex…

Neural and Evolutionary Computing · Computer Science 2013-03-13 Maumita Bhattacharya

Simulation-based optimization is a useful method for practical design problems. However, it is difficult for complicated problems due to expensive-computational costs. A popular way to overcome this issue is to use a surrogate model to save…

Signal Processing · Electrical Eng. & Systems 2019-12-11 Yu Li , Hu Wang , Ziming Wen , Xin Wang

Numerical solutions of partial differential equations (PDEs) require expensive simulations, limiting their application in design optimization, model-based control, and large-scale inverse problems. Surrogate modeling techniques seek to…

Computational Physics · Physics 2022-05-18 James Duvall , Karthik Duraisamy , Shaowu Pan
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