2 papers
math.DS2026
Resolvent-Based Singular-Value Diagnostics for Data-Driven Koopman Finite Sections
Yuanchao Xu, Itsushi Sakata, Isao Ishikawa
Finite-dimensional Koopman eigenvalues do not characterize resolvent growth, particularly for nonnormal compressions. We study the singular-value structure of empirical Koopman fin…
cond-mat.dis-nn2026
Physics-inspired transformer quantum states via latent imaginary-time evolution
Kimihiro Yamazaki, Itsushi Sakata, Takuya Konishi +1
Neural quantum states (NQS) are powerful ansätze in the variational Monte Carlo framework, yet their architectures are often treated as black boxes. We propose a physically transp…