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We introduce a new theoretical framework for continuous score-based diffusion models, showing that standard DDPMs contain a built-in spectral failure mode when applied to any multiscale, power-law physical system.
🚨 New from our group! A stable AI framework for high-res regional ocean modeling-- joint work with Fujitsu Research and NC State led by @ucsc PhD students Lenny and @MoeinDarman . Now out in JGR: Machine Learning & Computation 🌊🤖 🔗 doi.org/10.1029/2025JH… 🧵- 🚨 New preprint alert! “Generative Lagrangian Data Assimilation for Ocean Dynamics Under Extreme Sparsity” is live! 📄 arxiv.org/abs/2507.06479🌊 Reconstructs high-res ocean states from just 0.1% data using #GenAI. No forward model needed. (1/5)
- Arvind, me, and Jonah released a new pre-print on some pen and paper analysis of fundamental failure modes and old school stability analysis for neural PDEs typically used in AI for Science application. arxiv.org/abs/2411.15101. 1/4
- I am hiring for a #postdocposition at @am_ucsc for scientific AI + climate dynamics. Folks with deep learning, scientific computing skills; preferably some background in climate, please reach out! Collaboration with Nicole Feldl and @GeoffVallis recruit.ucsc.edu/JPF01844
