Ab Initio Uncertainty Quantification R package AIUQ version 0.5.5 Uncertainty quantification and inverse estimation by probabilistic generative models from the beginning of the data analysis. An example is a Fourier basis method for inverse estimation in scattering analysis of microscopy videos. It does not require specifying a certain range of Fourier bases and it substantially reduces computational cost via the generalized Schur algorithm. See the reference: Mengyang Gu, Yue He, Xubo Liu and Yimin Luo (2023), <doi:10.48550/arXiv.2309.02468>, and Tong Lin, Jinseok Lee, Matt Helgeson, Megan T Valentine, Yimin Luo, Mengyang Gu (2026), <doi:10.48550/arXiv.2605.29424>. Software Imports: fftwtools (>= 0.9.11), SuperGauss (>= 2.0.3), methods, plot3D (>= 1.4), RobustGaSP, geometry Suggests: knitr, rmarkdown Mengyang Gu <mengyang@pstat.ucsb.edu> Comprehensive R Archive Network (CRAN) Yue He [aut], Xubo Liu [aut], Tong Lin [aut], Mengyang Gu [aut, cre] GPL (>= 3) 2026-06-10 application/tgz https://CRAN.R-project.org/package=AIUQ doi:10.32614/CRAN.package.AIUQ