Special Issue on Machine Learning on Scientific Computing

ISSN: 0885-7474 (Print) 1573-7691 (Online)

In this topical collection (15 articles)

  1. OriginalPaper

    Non-linear Manifold Reduced-Order Models with Convolutional Autoencoders and Reduced Over-Collocation Method

    Francesco Romor, Giovanni Stabile, Gianluigi Rozza Article:74
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    OriginalPaper

    DCT-Former: Efficient Self-Attention with Discrete Cosine Transform

    Carmelo Scribano, Giorgia Franchini, Marco Prato… Article:67

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    OriginalPaper

    Asymptotic-Preserving Neural Networks for Multiscale Time-Dependent Linear Transport Equations

    Shi Jin, Zheng Ma, Keke Wu Article:57

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    OriginalPaper

    Learning Proper Orthogonal Decomposition of Complex Dynamics Using Heavy-ball Neural ODEs

    Justin Baker, Elena Cherkaev, Akil Narayan, Bao Wang Article:54

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    OriginalPaper

    A Dual Semismooth Newton Based Augmented Lagrangian Method for Large-Scale Linearly Constrained Sparse Group Square-Root Lasso Problems

    Chengjing Wang, Peipei Tang Article:45

  6. OriginalPaper

    ReLU Neural Network Galerkin BEM

    Rubén Aylwin, Fernando Henríquez, Christoph Schwab Article:41
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    OriginalPaper

    Data-Driven Reduced Order Modelling for Patient-Specific Hemodynamics of Coronary Artery Bypass Grafts with Physical and Geometrical Parameters

    Pierfrancesco Siena, Michele Girfoglio… Article:38

  8. OriginalPaper

    Hierarchical Model Reduction Driven by Machine Learning for Parametric Advection-Diffusion-Reaction Problems in the Presence of Noisy Data

    Massimiliano Lupo Pasini, Simona Perotto Article:36
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  9. OriginalPaper

    Mesh-Informed Neural Networks for Operator Learning in Finite Element Spaces

    Nicola Rares Franco, Andrea Manzoni, Paolo Zunino Article:35
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    OriginalPaper

    Large-Scale Bayesian Optimal Experimental Design with Derivative-Informed Projected Neural Network

    Keyi Wu, Thomas O’Leary-Roseberry, Peng Chen… Article:30

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    OriginalPaper

    A Line Search Based Proximal Stochastic Gradient Algorithm with Dynamical Variance Reduction

    Giorgia Franchini, Federica Porta, Valeria Ruggiero… Article:23

  12. OriginalPaper

    Towards a Machine Learning Pipeline in Reduced Order Modelling for Inverse Problems: Neural Networks for Boundary Parametrization, Dimensionality Reduction and Solution Manifold Approximation

    Anna Ivagnes, Nicola Demo, Gianluigi Rozza Article:23
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    OriginalPaper

    Random Forest Based Multiclass Classification Approach for Highly Skewed Particle Data

    Serpil Yalcin Kuzu Article:21

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    OriginalPaper

    Improved Deep Neural Networks with Domain Decomposition in Solving Partial Differential Equations

    Wei Wu, Xinlong Feng, Hui Xu Article:20

  15. OriginalPaper

    Computation of Conditional Expectations with Guarantees

    Patrick Cheridito, Balint Gersey Article:12
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