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math.NA2025
Goal-Oriented Low-Rank Tensor Decompositions for Numerical Simulation Data
Daniel M. Dunlavy, Eric T. Phipps, Hemanth Kolla +2
We introduce a new low-dimensional model of high-dimensional numerical simulation data based on low-rank tensor decompositions. Our new model aims to minimize differences between t…
physics.comp-ph2025
An a-posteriori analysis of co-kurtosis PCA based dimensionality reduction using a neural ODE solver
Tadikonda Shiva Sai, Hemanth Kolla, Konduri Aditya
A low-dimensional representation of thermochemical scalars based on cokurtosis principal component analysis (CoK-PCA) has been shown to effectively capture stiff chemical dynamics…