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The literature is rich with studies, analyses, and examples on parameter estimation for describing the evolution of chaotic dynamical systems based on measurements, even when only partial information is available through observations.…

Chaotic Dynamics · Physics 2025-08-07 Michele Baia , Tommaso Matteuzzi , Franco Bagnoli

Effectively controlling systems governed by Partial Differential Equations (PDEs) is crucial in several fields of Applied Sciences and Engineering. These systems usually yield significant challenges to conventional control schemes due to…

Machine Learning · Computer Science 2024-11-07 Florian Wolf , Nicolò Botteghi , Urban Fasel , Andrea Manzoni

Metascheduling in time-triggered architectures has been crucial in adapting to dynamic and unpredictable environments, ensuring the reliability and efficiency of task execution. However, traditional approaches face significant challenges…

Artificial Intelligence · Computer Science 2025-09-26 Samer Alshaer , Ala Khalifeh , Roman Obermaisser

A data-driven framework is proposed towards the end of predictive modeling of complex spatio-temporal dynamics, leveraging nested non-linear manifolds. Three levels of neural networks are used, with the goal of predicting the future state…

Computational Physics · Physics 2020-09-14 Jiayang Xu , Karthik Duraisamy

Delay embedding---a method for reconstructing dynamical systems by delay coordinates---is widely used to forecast nonlinear time series as a model-free approach. When multivariate time series are observed, several existing frameworks can be…

Machine Learning · Statistics 2019-07-04 Shunya Okuno , Kazuyuki Aihara , Yoshito Hirata

Learning the dynamics of robots from data can help achieve more accurate tracking controllers, or aid their navigation algorithms. However, when the actual dynamics of the robots change due to external conditions, on-line adaptation of…

Robotics · Computer Science 2019-03-14 Bilal Wehbe , Marc Hildebrandt , Frank Kirchner

Numerical models based on physics represent the state-of-the-art in earth system modeling and comprise our best tools for generating insights and predictions. Despite rapid growth in computational power, the perceived need for higher model…

Machine Learning · Computer Science 2022-01-10 Kate Duffy , Thomas Vandal , Weile Wang , Ramakrishna Nemani , Auroop R. Ganguly

Models trained with offline data often suffer from continual distribution shifts and expensive labeling in changing environments. This calls for a new online learning paradigm where the learner can continually adapt to changing environments…

Machine Learning · Computer Science 2022-03-22 Shiji Zhou , Han Zhao , Shanghang Zhang , Lianzhe Wang , Heng Chang , Zhi Wang , Wenwu Zhu

Machine learning models deployed in real-world settings must operate under evolving data distributions and constrained computational resources. This challenge is particularly acute in non-stationary domains such as energy time series,…

Machine Learning · Computer Science 2026-03-17 Daniel Bretsko , Piotr Walas , Devashish Khulbe , Sebastian Stros , Stanislav Sobolevsky , Tomas Satura

The paradigm of automated program generation is shifting from one-shot generation to inference-time search, where Large Language Models (LLMs) function as semantic mutation operators within evolutionary loops. While effective, these systems…

Neural and Evolutionary Computing · Computer Science 2026-02-24 Mert Cemri , Shubham Agrawal , Akshat Gupta , Shu Liu , Audrey Cheng , Qiuyang Mang , Ashwin Naren , Lutfi Eren Erdogan , Koushik Sen , Matei Zaharia , Alex Dimakis , Ion Stoica

Learning rate is widely regarded as crucial for effective foundation model pretraining. Recent research explores and demonstrates the transferability of learning rate configurations across varying model and dataset sizes, etc. Nevertheless,…

Machine Learning · Computer Science 2025-12-23 Hongyuan Dong , Dingkang Yang , Xiao Liang , Chao Feng , Jiao Ran

Adaptive Computing is an application-agnostic outer loop framework to strategically deploy simulations and experiments to guide decision making for scale-up analysis. Resources are allocated over successive batches, which makes the…

Researchers have demonstrated state-of-the-art performance in sequential decision making problems (e.g., robotics control, sequential prediction) with deep neural network models. One often has access to near-optimal oracles that achieve…

Machine Learning · Computer Science 2017-03-06 Wen Sun , Arun Venkatraman , Geoffrey J. Gordon , Byron Boots , J. Andrew Bagnell

Machine Learning surrogates have been developed to accelerate solving systems dynamics of complex processes in different science and engineering applications. To faithfully capture governing systems dynamics, these methods rely on large…

Machine Learning · Computer Science 2025-07-01 Amir Hossein Rahmati , Nathan M. Urban , Byung-Jun Yoon , Xiaoning Qian

Online adaptive model reduction efficiently reduces numerical models of transport-dominated problems by updating reduced spaces over time, which leads to nonlinear approximations on latent manifolds that can achieve a faster error decay…

Numerical Analysis · Mathematics 2023-07-28 Rodrigo Singh , Wayne Isaac Tan Uy , Benjamin Peherstorfer

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

A deterministic multiscale toy model is studied in which a chaotic fast subsystem triggers rare transitions between slow regimes, akin to weather or climate regimes. Using homogenization techniques, a reduced stochastic parametrization…

Data Analysis, Statistics and Probability · Physics 2012-04-11 Lewis Mitchell , Georg A. Gottwald

Scientific computing for large deformation of elastic-plastic solids is critical for numerous real-world applications. Classical numerical solvers rely primarily on local discrete linear approximation and are constrained by an inherent…

Machine Learning · Computer Science 2025-06-09 Shilong Tao , Zhe Feng , Haonan Sun , Zhanxing Zhu , Yunhuai Liu

Adaptive optimization methods have been widely used in deep learning. They scale the learning rates adaptively according to the past gradient, which has been shown to be effective to accelerate the convergence. However, they suffer from…

Machine Learning · Computer Science 2021-07-06 Hongwei Zhang , Weidong Zou , Hongbo Zhao , Qi Ming , Tijin Yan , Yuanqing Xia , Weipeng Cao

Recent breakthroughs in Deep Neural Networks (DNNs) have fueled a tremendously growing demand for bringing DNN-powered intelligence into mobile platforms. While the potential of deploying DNNs on resource-constrained platforms has been…

Machine Learning · Computer Science 2020-06-09 Sicong Liu , Junzhao Du , Kaiming Nan , ZimuZhou , Atlas Wang , Yingyan Lin