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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

Author

Stephen S. Baek

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Open access Sep 2026

Legendre polynomial anti-derivative layer for compact physics-informed neural networks and operator learning with high-frequency spectral expressivity

Physics-informed neural networks (PINNs) with compact architectures often struggle to represent oscillatory and multiscale solutions when the representations formed by their hidden layers are insufficiently expressive. Here, we introduce a Legendre polynomial anti-derivative (LPA) layer as a structured readout activati...

S. Rhie, Stephen S. Baek, Jeongsu Lee · 0 citations
#artificial intelligence Preprint Sep 2026

Attention Is All You Need (to Avoid Spurious Oscillations)

Can attention move a shock across several cells in one update without breaking it? We develop a conservative, fixed grid finite-volume scheme in which a CFL-conditioned attention flux selects upstream information according to the transport required by the current time step. One-dimensional inviscid Burgers transport is...

Jinyoung Jeong, Joseph B. Choi, Xin-Lun Cheng et al. · 0 citations

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