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math.NA2025
Physics-Informed Inference Time Scaling for Solving High-Dimensional PDE via Defect Correction
Zexi Fan, Yan Sun, Shihao Yang +1
Solving high-dimensional partial differential equations (PDEs) is a critical challenge where modern data-driven solvers often lack reliability and rigorous error guarantees. We int…
cs.LG2025
Linear Transformers as VAR Models: Aligning Autoregressive Attention Mechanisms with Autoregressive Forecasting
Jiecheng Lu, Shihao Yang
Autoregressive attention-based time series forecasting (TSF) has drawn increasing interest, with mechanisms like linear attention sometimes outperforming vanilla attention. However…