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In this paper we survey the most recent advances in supervised machine learning and high-dimensional models for time series forecasting. We consider both linear and nonlinear alternatives. Among the linear methods we pay special attention…

Econometrics · Economics 2021-04-12 Ricardo P. Masini , Marcelo C. Medeiros , Eduardo F. Mendes

The Finite Element Method (FEM) is a powerful modeling tool for predicting soft robots' behavior, but its computation time can limit practical applications. In this paper, a learning-based approach based on condensation of the FEM model is…

The availability of precise and accurate simulation is a limiting factor for interpreting and forecasting data in many fields of science and engineering. Often, one or more distinct simulation software applications are developed, each with…

High Energy Physics - Experiment · Physics 2025-02-19 Moritz Wolf , Lars O. Stietz , Patrick L. S. Connor , Peter Schleper , Samuel Bein

Solving partial differential equations (PDEs) by numerical methods meet computational cost challenge for getting the accurate solution since fine grids and small time steps are required. Machine learning can accelerate this process, but…

Numerical Analysis · Mathematics 2025-01-28 Qi Wang , Yuan Mi , Haoyun Wang , Yi Zhang , Ruizhi Chengze , Hongsheng Liu , Ji-Rong Wen , Hao Sun

In analyzing and assessing the condition of dynamical systems, it is necessary to account for nonlinearity. Recent advances in computation have rendered previously computationally infeasible analyses readily executable on common computer…

Computational Engineering, Finance, and Science · Computer Science 2021-09-24 Thomas Simpson , Nikolaos Dervilis , Eleni Chatzi

We propose a computer-assisted approach to studying the effective continuum behavior of spatially discrete evolution equations. The advantage of the approach is that the "coarse model" (the continuum, effective equation) need not be…

Computational Physics · Physics 2007-05-23 J. Moeller , O. Runborg , P. G. Kevrekidis , K. Lust , I. G. Kevrekidis

Numerical approximations of partial differential equations (PDEs) are routinely employed to formulate the solution of physics, engineering, and mathematical problems involving functions of several variables, such as the propagation of heat…

Adam-type optimizers, as a class of adaptive moment estimation methods with the exponential moving average scheme, have been successfully used in many applications of deep learning. Such methods are appealing due to the capability on…

Machine Learning · Computer Science 2020-12-17 Bingxin Zhou , Xuebin Zheng , Junbin Gao

A hybrid framework integrating the Virtual Element Method (VEM) with deep learning is presented as an initial step toward developing efficient and flexible numerical models for one-dimensional Euler-Bernoulli beams. The primary aim is to…

Machine Learning · Computer Science 2025-01-14 Paulo Akira F. Enabe , Rodrigo Provasi

A very simple way to improve the performance of almost any machine learning algorithm is to train many different models on the same data and then to average their predictions. Unfortunately, making predictions using a whole ensemble of…

Machine Learning · Statistics 2015-03-10 Geoffrey Hinton , Oriol Vinyals , Jeff Dean

Extreme learning machine (ELM) as an emerging branch of shallow networks has shown its excellent generalization and fast learning speed. However, for blended data, the robustness of ELM is weak because its weights and biases of hidden nodes…

Machine Learning · Computer Science 2014-09-24 Bo Han , Bo He , Mengmeng Ma , Tingting Sun , Tianhong Yan , Amaury Lendasse

While discrete-event simulators are essential tools for architecture research, design, and development, their practicality is limited by an extremely long time-to-solution for realistic applications under investigation. This work describes…

Hardware Architecture · Computer Science 2022-04-07 Lingda Li , Santosh Pandey , Thomas Flynn , Hang Liu , Noel Wheeler , Adolfy Hoisie

Reproducible research in Machine Learning has seen a salutary abundance of progress lately: workflows, transparency, and statistical analysis of validation and test performance. We build on these efforts and take them further. We offer a…

Systems governed by partial differential equations (PDEs) require computationally intensive numerical solvers to predict spatiotemporal field evolution. While machine learning (ML) surrogates offer faster solutions, autoregressive inference…

Machine Learning · Computer Science 2025-07-08 Ishan Khurjekar , Indrashish Saha , Lori Graham-Brady , Somdatta Goswami

Experiments in predator-prey systems show the emergence of long-term cycles. Deterministic model typically fails in capturing these behaviors, which emerge from the microscopic interplay of individual based dynamics and stochastic effects.…

Numerical Analysis · Mathematics 2022-03-03 Giacomo Albi , Roberto Chignola , Federica Ferrarese

This paper considers the creation of parametric surrogate models for applications in science and engineering where the goal is to predict high-dimensional spatiotemporal output quantities of interest, such as pressure, temperature and…

Computational Physics · Physics 2022-03-24 Chi Hoang , Kenny Chowdhary , Kookjin Lee , Jaideep Ray

Many machine learning (ML) models are integrated within the context of a larger system as part of a key component for decision making processes. Concretely, predictive models are often employed in estimating the parameters for the input…

Machine Learning · Computer Science 2022-04-04 Bing Zhang , Yuya Jeremy Ong , Taiga Nakamura

Traditional machine learning methods have been widely studied in financial innovation. My study focuses on the application of deep learning methods on asset pricing. I investigate various deep learning methods for asset pricing, especially…

Statistical Finance · Quantitative Finance 2022-09-27 Chen Zhang

Over the past decade, the dominance of deep learning has prevailed across various domains of artificial intelligence, including natural language processing, computer vision, and biomedical signal processing. While there have been remarkable…

Computer Vision and Pattern Recognition · Computer Science 2024-04-15 Hou-I Liu , Marco Galindo , Hongxia Xie , Lai-Kuan Wong , Hong-Han Shuai , Yung-Hui Li , Wen-Huang Cheng

Machine Learning (ML) and its applications have been transforming our lives but it is also creating issues related to the development of fair, accountable, transparent, and ethical Artificial Intelligence. As the ML models are not fully…

Applications · Statistics 2021-06-30 Yihuang Kang , Yi-Wen Chiu , Ming-Yen Lin , Fang-yi Su , Sheng-Tai Huang