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20232026
most citedPositional Knowledge is All You Need: Position-induced Transformer (PiT) for Operator Learning

2 citations · 3 across the 5 of their papers we have counts for

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nlin.CD2026

Flux-form spatiotemporal neural operators for coarse-grained dynamics of multiscale PDEs

Junfeng Chen

We study data-driven prediction of coarse-grained dynamics in multiscale PDE systems. Adopting a closure-free operator-learning viewpoint, we apply a linear coarse-graining map and…

stat.ML2026

Diagnosing the conditional-mean barrier in scientific machine-learning surrogates

Junfeng Chen

Many prediction tasks in computational science and engineering become one-to-many after coarse graining and partial observation. In such settings, deterministic surrogates trained…