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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

Modeling the evolution of physical systems is critical to many applications in science and engineering. As the evolution of these systems is governed by partial differential equations (PDEs), there are a number of computational simulations…

Machine Learning · Computer Science 2025-03-17 Bharat Srikishan , Daniel O'Malley , Mohamed Mehana , Nicholas Lubbers , Nikhil Muralidhar

Stochastic, iterative search methods such as Evolutionary Algorithms (EAs) are proven to be efficient optimizers. However, they require evaluation of the candidate solutions which may be prohibitively expensive in many real world…

Neural and Evolutionary Computing · Computer Science 2013-03-12 Maumita Bhattacharya

Reliable plasma transport modeling for magnetic confinement fusion depends on accurately resolving the ion charge state distribution and radiative power losses of the plasma. These quantities can be obtained from solutions of a…

Plasma Physics · Physics 2022-09-28 Nathan A. Garland , Romit Maulik , Qi Tang , Xian-Zhu Tang , Prasanna Balaprakash

Parallel trajectory optimization via the Alternating Direction Method of Multipliers (ADMM) has emerged as a scalable approach to long-horizon motion planning. However, existing frameworks typically decompose the problem into parallel…

Robotics · Computer Science 2026-04-27 Jiajun Yu , Guodong Liu , Li Wang , Pengxiang Zhou , Wentao Liu , Yin He , Chao Xu , Fei Gao , Yanjun Cao

Tabular data are fundamental in common machine learning applications, ranging from finance to genomics and healthcare. This paper focuses on tabular regression tasks, a field where deep learning (DL) methods are not consistently superior to…

Machine Learning · Computer Science 2024-12-17 Hong-Wei Wu , Wei-Yao Wang , Kuang-Da Wang , Wen-Chih Peng

Recent advancements in Markov chain Monte Carlo (MCMC) sampling and surrogate modelling have significantly enhanced the feasibility of Bayesian analysis across engineering fields. However, the selection and integration of surrogate models…

Computational Physics · Physics 2024-11-22 Leon Riccius , Iuri B. C. M. Rocha , Joris Bierkens , Hanne Kekkonen , Frans P. van der Meer

Simulating consumer decision-making is vital for designing and evaluating marketing strategies before costly real-world deployment. However, post-event analyses and rule-based agent-based models (ABMs) struggle to capture the complexity of…

Artificial Intelligence · Computer Science 2025-10-22 Man-Lin Chu , Lucian Terhorst , Kadin Reed , Tom Ni , Weiwei Chen , Rongyu Lin

Automated optimization modeling (AOM) has evoked considerable interest with the rapid evolution of large language models (LLMs). Existing approaches predominantly rely on prompt engineering, utilizing meticulously designed expert response…

Artificial Intelligence · Computer Science 2025-01-31 Tianpeng Pan , Wenqiang Pu , Licheng Zhao , Rui Zhou

Complex physical simulations often require trade-offs between model fidelity and computational feasibility. We introduce Adaptive Online Emulation (AOE), which dynamically learns neural network surrogates during simulation execution to…

In modern computer experiment applications, one often encounters the situation where various models of a physical system are considered, each implemented as a simulator on a computer. An important question in such a setting is determining…

Methodology · Statistics 2023-05-08 John C. Yannotty , Thomas J. Santner , Richard J. Furnstahl , Matthew T. Pratola

Enhancing the robustness and accuracy of time series forecasting models is an active area of research. Recently, Artificial Neural Networks (ANNs) have found extensive applications in many practical forecasting problems. However, the…

Neural and Evolutionary Computing · Computer Science 2013-02-27 Ratnadip Adhikari , R. K. Agrawal

A challenging problem in both engineering and computer science is that of minimising a function for which we have no mathematical formulation available, that is expensive to evaluate, and that contains continuous and integer variables, for…

Machine Learning · Computer Science 2021-07-28 Laurens Bliek , Arthur Guijt , Sicco Verwer , Mathijs de Weerdt

Evolutionary Reinforcement Learning (ERL), training the Reinforcement Learning (RL) policies with Evolutionary Algorithms (EAs), have demonstrated enhanced exploration capabilities and greater robustness than using traditional policy…

Machine Learning · Computer Science 2025-05-30 Bingdong Li , Mei Jiang , Hong Qian , Ke Tang , Aimin Zhou , Peng Yang

Recent advances in machine learning, specifically transformer architecture, have led to significant advancements in commercial domains. These powerful models have demonstrated superior capability to learn complex relationships and often…

Machine Learning · Computer Science 2024-05-29 Matthew L. Olson , Shusen Liu , Jayaraman J. Thiagarajan , Bogdan Kustowski , Weng-Keen Wong , Rushil Anirudh

The training of deep neural networks is inherently a nonconvex optimization problem, yet standard approaches such as stochastic gradient descent (SGD) require simultaneous updates to all parameters, often leading to unstable convergence and…

Machine Learning · Computer Science 2025-08-07 Chengcheng Yan , Jiawei Xu , Zheng Peng , Qingsong Wang

We propose to train neural networks (NNs) using a novel variant of the ``Additively Preconditioned Trust-region Strategy'' (APTS). The proposed method is based on a parallelizable additive domain decomposition approach applied to the neural…

Numerical Analysis · Mathematics 2023-12-22 Ken Trotti , Samuel A. Cruz Alegría , Alena Kopaničáková , Rolf Krause

Reinforcement learning (RL) has substantially improved the ability of large language model (LLM) agents to interact with environments and solve multi-turn tasks. However, effective agentic RL remains challenging: sparse outcome-only rewards…

Stochastic majorization-minimization (SMM) is a class of stochastic optimization algorithms that proceed by sampling new data points and minimizing a recursive average of surrogate functions of an objective function. The surrogates are…

Optimization and Control · Mathematics 2023-03-22 Hanbaek Lyu

Stochastic lattice models (sLMs) are computational tools for simulating spatiotemporal dynamics in physics, computational biology, chemistry, ecology, and other fields. Despite their widespread use, it is challenging to fit sLMs to data, as…

Cellular Automata and Lattice Gases · Physics 2023-10-13 Jan Schering , Sander Keemink , Johannes Textor