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Wei Guo

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Preprint Sep 2026

Physics-Guided Conditional Flow Matching with Energy Regularization for Robust PDE Inverse Problems

We consider partial differential equation (PDE) inverse problems from sparse, noisy, and corrupted observations, with the aim of recovering unknown coefficient fields and associated state variables in a mesh-free setting. Under such sparse and corrupted observations, standard physics-informed and generative approaches...

Yong-Sheng Chen, Shuo Lu, Wei Guo et al. · 0 citations
Jun 2026

Incremental Tensor-Train Compression from Streaming TT-Formatted Data: Applications to Reduced-Order Modeling

A deterministic incremental TT compression algorithm that operates directly on streaming TT-formatted data and corresponds to a compressed analogue of standard proper orthogonal decomposition for full-order snapshot data, enabling reduced-order models to be constructed directly from streaming low-rank solution data thr...

Wei Guo, Zhichao Peng · 0 citations

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