notesum.ai

Published at December 6

Wavelet Diffusion Neural Operator

cs.LG

Released Date: December 6, 2024

Authors: Peiyan Hu¹, Rui Wang, Xiang Zheng, Tao Zhang, Haodong Feng, Ruiqi Feng, Long Wei, Yue Wang, Zhi-Ming Ma, Tailin Wu

Aff.: ¹Westlake University

Arxiv: http://arxiv.org/pdf/2412.04833v1

Refer to caption

Methods	1D			2D
Methods	Burgers’	Advection	Navier-Stokes	Fluid	ERA5
WNO	0.00572	4.216e-02	6.5428	0.07975	–
MWT	0.00052	3.468e-04	1.3830	0.01556	21.85750
OFormer	0.00023	1.858e-04	0.6227	0.04303	18.26230
FNO	0.01091	9.712e-04	0.2575	0.00403	14.38638
CNN (1D) / U-Net (2D)	0.00198	5.033e-04	12.4966	0.00737	15.51342
DDPM	0.00013	4.209e-05	5.5228	0.01578	15.21103
WDNO (ours)	0.00014	2.898e-05	0.2195	0.00231	12.83291