VHYDRO is a support-safe variational hybrid filter that jointly recovers continuous latent states, discrete contact modes, and sparse port-Hamiltonian laws per regime while preventing loss of feasible transitions.
Proceedings of the National Academy of Sciences , volume=
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PODiff performs conditional diffusion in a fixed, variance-ordered POD latent space to enable efficient probabilistic super-resolution of high-dimensional scientific fields with lower memory and better-calibrated uncertainty than pixel-space or dropout baselines.
Fourier Weak SINDy learns ODE coefficients from noisy time series by regressing Fourier coefficients that are selected via multitaper spectral density estimation, beating SINDy baselines on chaotic benchmarks.
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Support-Safe Variational Hybrid Filtering for Contact-Mode and Sparse-Law Recovery
VHYDRO is a support-safe variational hybrid filter that jointly recovers continuous latent states, discrete contact modes, and sparse port-Hamiltonian laws per regime while preventing loss of feasible transitions.
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PODiff: Latent Diffusion in Proper Orthogonal Decomposition Space for Scientific Super-Resolution
PODiff performs conditional diffusion in a fixed, variance-ordered POD latent space to enable efficient probabilistic super-resolution of high-dimensional scientific fields with lower memory and better-calibrated uncertainty than pixel-space or dropout baselines.
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Fourier Weak SINDy: Spectral Test Function Selection for Robust Model Identification
Fourier Weak SINDy learns ODE coefficients from noisy time series by regressing Fourier coefficients that are selected via multitaper spectral density estimation, beating SINDy baselines on chaotic benchmarks.