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Hierarchical Multi-Fidelity Learning for Predicting Three-Dimensional Flame Wrinkling and Turbulent Burning Velocity

arXiv cs.LG · yesterday Cached

This paper introduces MuFiNNs, a hierarchical multi-fidelity neural network framework for predicting 3D flame wrinkling and turbulent burning velocity using sparse experimental data. The approach integrates low-fidelity physical trends with high-fidelity corrections to enable robust prediction and extrapolation in data-limited combustion regimes.

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Physics-Modeled Neural Networks

arXiv cs.LG · yesterday Cached

This paper introduces Dynamical Physics-Modeled Neural Networks (DynPMNNs), a continuous-time deep learning architecture where hidden layers are defined by ordinary differential equations. It presents a biologically inspired approach grounded in Reproducing Kernel Banach Spaces, demonstrating competitive performance on the California Housing dataset with fewer parameters than standard Neural ODEs.

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A Robust Foundation Model for Conservation Laws: Injecting Context into Flux Neural Operators via Recurrent Vision Transformers

arXiv cs.LG · 5d ago Cached

This paper proposes a new architecture that augments Flux Neural Operators with recurrent Vision Transformers to solve conservation laws as a foundation model. It demonstrates robust generalization and long-time prediction capabilities across diverse conservative systems without explicit access to governing equations.

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