110 citations · 337 across the 24 of their papers we have counts for
3 papers · 1 filter
The Gradient descent method from the perspective of fractional calculus
Pham Viet Hai, Joel A. Rosenfeld
Motivated by gradient methods in optimization theory, we give methods based on -fractional derivatives of order in order to solve unconstrained optimization problems. The co…
Dynamic Mode Decomposition for Continuous Time Systems with the Liouville Operator
Joel A. Rosenfeld, Rushikesh Kamalapurkar, L. Forest Gruss +1
Dynamic Mode Decomposition (DMD) has become synonymous with the Koopman operator, where continuous time dynamics are examined through a discrete time proxy determined by a fixed ti…
The Occupation Kernel Method for Nonlinear System Identification
Joel A. Rosenfeld, Benjamin Russo, Rushikesh Kamalapurkar +1
This manuscript presents a novel approach to nonlinear system identification leveraging densely defined Liouville operators and a new "kernel" function that represents an integrati…