Author

Kang Liu

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Preprint Sep 2026

Can one regularizer reproduce posterior means at two noise levels?

Consider Gaussian denoising with a fixed prior and varying noise variance. When the prior has a density, maximum a posteriori estimation uses its negative logarithm as a fixed regularizer; only the weight of the quadratic data term changes with the noise variance. We ask whether a fixed regularizer can also recover the...

Kang Liu · 0 citations

#machine learning Preprint Sep 2026

HGTO: A Unified Graph-Based Physics-Informed Formulation for Structural Topology Optimization

HGTO is introduced, a unified graph-based formulation that extends complete neural topology optimization from coordinate space to finite-element graph space and shows compliance comparable to conventional density-based optimization at substantially lower computational cost than a representative coordinate-based dual-fi...

Kang Liu, Uday Kumar Punna, Lei-Xin Ma · 1 citation · ⚡1