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  1. No Access

    Article

    Deep Learning Discrete Calculus (DLDC): a family of discrete numerical methods by universal approximation for STEM education to frontier research

    The article proposes formulating and codifying a set of applied numerical methods, coined as Deep Learning Discrete Calculus (DLDC), that uses the knowledge from discrete numerical methods to interpret the deep l...

    Sourav Saha, Chanwook Park, Stefan Knapik, Jiachen Guo… in Computational Mechanics (2023)

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    Article

    An introduction to kernel and operator learning methods for homogenization by self-consistent clustering analysis

    Recent advances in operator learning theory have improved our knowledge about learning maps between infinite dimensional spaces. However, for large-scale engineering problems such as concurrent multiscale simu...

    Owen Huang, Sourav Saha, Jiachen Guo, Wing Kam Liu in Computational Mechanics (2023)