3 papers
cs.LG2026
Tensor-based computation of the Koopman generator via operator logarithm
Tatsuya Kishimoto, Jun Ohkubo
Identifying governing equations of nonlinear dynamical systems from data is challenging. While sparse identification of nonlinear dynamics (SINDy) and its extensions are widely use…
physics.comp-ph2025
Permutation of Tensor-Train Cores for Computing Moments on Stochastic Differential Equations
Kayo Kinjo, Rihito Sakurai, Tatsuya Kishimoto +1
Tensor networks, particularly the tensor train (TT) format, have emerged as powerful tools for high-dimensional computations in physics and computer science. In solving coupled dif…
physics.app-ph2024
Koopman analysis of combinatorial optimization problems with replica exchange Monte Carlo method
Tatsuya Naoi, Tatsuya Kishimoto, Jun Ohkubo
Combinatorial optimization problems play crucial roles in real-world applications, and many studies from a physics perspective have contributed to specialized hardware for high-spe…