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4 papers · 2 filters
Tensor Network Skeletonization
Lexing Ying
We introduce a new coarse-graining algorithm, tensor network skeletonization, for the numerical computation of tensor networks. This approach utilizes a structure-preserving skelet…
Adaptively compressed polarizability operator for accelerating large scale \textit{ab initio} phonon calculations
Lin Lin, Ze Xu, Lexing Ying
Phonon calculations based on first principle electronic structure theory, such as the Kohn-Sham density functional theory, have wide applications in physics, chemistry and material…
Many physical laws are ridge functions
Paul G. Constantine, Zachary del Rosario, Gianluca Iaccarino
A ridge function is a function of several variables that is constant along certain directions in its domain. Using classical dimensional analysis, we show that many physical laws a…
Computing localized representations of the kohn-sham subspace via randomization and refinement
Anil Damle, Lin Lin, Lexing Ying
Localized representation of the Kohn-Sham subspace plays an important role in quantum chemistry and materials science. The recently developed selected columns of the density matrix…