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arxiv:2109.05237

Physics-based Deep Learning

Published on Mar 26, 2025
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Abstract

Deep learning methods for physical simulations encompass supervised learning, physical loss-constraints, differentiable simulations, diffusion-based generative approaches, and reinforcement learning, enabling advanced scientific modeling.

AI-generated summary

This document is a hands-on, comprehensive guide to deep learning in the realm of physical simulations. Rather than just theory, we emphasize practical application: every concept is paired with interactive Jupyter notebooks to get you up and running quickly. Beyond traditional supervised learning, we dive into physical loss-constraints, differentiable simulations, diffusion-based approaches for probabilistic generative AI, as well as reinforcement learning and advanced neural network architectures. These foundations are paving the way for the next generation of scientific foundation models. We are living in an era of rapid transformation. These methods have the potential to redefine what's possible in computational science.

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