31 citations · 31 across the 7 of their papers we have counts for
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Computing high-order mixed derivatives in physics-informed neural networks using multi-index Bell polynomials
Fumihiro Imoto
Physics-informed neural networks for high-order partial differential equations require mixed input derivatives and their gradients with respect to the network parameters. Standard…
Self-consistent orbital-free nuclear density functional theory with a physics-constrained learned nonlocal kinetic energy functional
Fumihiro Imoto
Nonlocal kinetic-energy density functionals (KEDFs) can encode nuclear shell structure in orbital-free density functional theory (OFDFT), but self-consistency requires accurate fun…
Semilocal exchange functionals from the exact-exchange condition for the hydrogen atom: Hydrogenic exactness and recovery of Rydberg-like bound states
Fumihiro Imoto
In semilocal density functionals the exchange potential decays too rapidly outside atoms and molecules and lacks the correct tail; as a consequence, functionals from PBE to…
Revisiting the expansion of the uniform electron gas in dimensions: terms from coincident Mellin poles
Fumihiro Imoto
The high-density expansion of the correlation energy of the uniform electron gas contains terms, where is the Wigner--Seitz radius. Their form depends on the dimen…
Order- orbital-free density-functional calculations with machine learning of functional derivatives for semiconductors and metals
Fumihiro Imoto, Masatoshi Imada, Atsushi Oshiyama
Orbital-free density functional theory (OFDFT) offers a challenging way of electronic-structure calculations scaled as computation for system size . We here dev…