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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

The use of Evolutionary Algorithms (EA) for solving Mathematical/Computational Optimization Problems is inspired by the biological processes of Evolution. Few of the primitives involved in the Evolutionary process/paradigm are selection of…

Neural and Evolutionary Computing · Computer Science 2023-11-07 Parthasarathy Srinivasan

Large-scale international scientific collaborations, such as ATLAS, Belle II, CMS, and DUNE, generate vast volumes of data. These experiments necessitate substantial computational power for varied tasks, including structured data…

This contribution proposes novel data-driven surrogate modeling approaches for parameterized parabolic PDEs, where the parameter dependence can be split into two parts with different decay behavior of the Kolmogorov $N$-width. Such problems…

Numerical Analysis · Mathematics 2026-04-27 Dawid Kotowski , Mario Ohlberger

Evolutionary algorithms are increasingly recognised as a viable computational approach for the automated optimisation of deep neural networks (DNNs) within artificial intelligence. This method extends to the training of DNNs, an approach…

Neural and Evolutionary Computing · Computer Science 2024-03-29 Fergal Stapleton , Brendan Cody-Kenny , Edgar Galván

Predicting nutrient transport and salinity distribution is crucial for mitigating climate-related threats to agromaritime systems. Traditional PDE-based models can capture the physics of nutrient dispersion, salinity and water quality.…

Numerical Analysis · Mathematics 2026-04-24 Muhammad Ilyas

Optimization and control of complex unsteady flows remains an important challenge due to the large cost of performing a function evaluation, i.e. a full computational fluid dynamics (CFD) simulation. Reducing the number of required function…

Fluid Dynamics · Physics 2023-01-31 A. Quirós Rodríguez , M. Fosas de Pando , T. Sayadi

We demonstrate the adaption of three established methods to the field of surrogate machine learning model development. These methods are data augmentation, custom loss functions and transfer learning. Each of these methods have seen…

Machine Learning · Computer Science 2022-11-04 H. Rhys Jones , Tingting Mu , Andrei C. Popescu , Yusuf Sulehman

This paper introduces Dynamic Embeddings with Task-Oriented prompting (DETOT), a novel approach aimed at improving the adaptability and efficiency of machine learning models by implementing a flexible embedding layer. Unlike traditional…

Computation and Language · Computer Science 2024-06-25 Allmin Balloccu , Jack Zhang

Deep learning, particularly convolutional neural networks for image recognition, has been recently used in meteorology. One of the promising applications is developing a statistical surrogate model that converts the output images of…

Atmospheric and Oceanic Physics · Physics 2020-07-22 Tsuyoshi Thomas Sekiyama

This paper focuses on the distributed optimization of stochastic saddle point problems. The first part of the paper is devoted to lower bounds for the centralized and decentralized distributed methods for smooth (strongly) convex-(strongly)…

Machine Learning · Computer Science 2025-04-28 Aleksandr Beznosikov , Valentin Samokhin , Alexander Gasnikov

Parallel Global Optimization Algorithms (PGOA) provide an efficient way of dealing with hard optimization problems. One method of parallelization of GOAs that is frequently applied and commonly found in the contemporary literature is the…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-04-27 Marek Ruciński , Dario Izzo , Francesco Biscani

Neural networks are one tool for approximating non-linear differential equations used in scientific computing tasks such as surrogate modeling, real-time predictions, and optimal control. PDE foundation models utilize neural networks to…

Machine Learning · Computer Science 2025-02-11 Elisa Negrini , Yuxuan Liu , Liu Yang , Stanley J. Osher , Hayden Schaeffer

Real-world multiobjective optimization problems usually involve conflicting objectives that change over time, which requires the optimization algorithms to quickly track the Pareto optimal front (POF) when the environment changes. In recent…

Neural and Evolutionary Computing · Computer Science 2021-02-25 Dejun Xu , Min Jiang , Weizhen Hu , Shaozi Li , Renhu Pan , Gary G. Yen

This work concerns the evolutionary approaches to distributed stochastic black-box optimization, in which each worker can individually solve an approximation of the problem with nature-inspired algorithms. We propose a distributed evolution…

Neural and Evolutionary Computing · Computer Science 2022-04-12 Xiaoyu He , Zibin Zheng , Chuan Chen , Yuren Zhou , Chuan Luo , Qingwei Lin

Despite significant efforts to manually design high-performance evolutionary algorithms, their adaptability remains limited due to the dynamic and ever-evolving nature of real-world problems. The "no free lunch" theorem highlights that no…

Neural and Evolutionary Computing · Computer Science 2025-09-16 Xu Yang , Rui Wang , Kaiwen Li , Wenhua Li , Ling Wang

Developing surrogates for computer models has become increasingly important for addressing complex problems in science and engineering. This article introduces an artificial intelligent (AI) surrogate, referred to as the DeepSurrogate, for…

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

One of the most widely used methods for solving large-scale stochastic optimization problems is distributed asynchronous stochastic gradient descent (DASGD), a family of algorithms that result from parallelizing stochastic gradient descent…

Optimization and Control · Mathematics 2021-07-08 Zhengyuan Zhou , Panayotis Mertikopoulos , Nicholas Bambos , Peter W. Glynn , Yinyu Ye

Distributed descent-based methods are an essential toolset to solving optimization problems in multi-agent system scenarios. Here the agents seek to optimize a global objective function through mutual cooperation. Oftentimes, cooperation is…

Optimization and Control · Mathematics 2019-08-28 Arunselvan Ramaswamy