no code implementations • 3 Apr 2024 • Michael F. Zimmer
In lieu of abstract, first paragraph reads: Six months after the author derived a constant of motion for a 1D damped harmonic oscillator [1], a similar result appeared by Liu, Madhavan, and Tegmark [2, 3], without citing the author.
no code implementations • 28 Mar 2024 • Michael F. Zimmer
This paper begins with a dynamical model that was obtained by applying a machine learning technique (FJet) to time-series data; this dynamical model is then analyzed with Lie symmetry techniques to obtain constants of motion.
no code implementations • 13 Oct 2021 • Michael F. Zimmer
In this paper, the approach of using machine learning to model the updates of the phase space variables is introduced; this is done as a function of the phase space variables.
no code implementations • 24 May 2021 • Michael F. Zimmer
It has long been a goal to efficiently compute and use second order information on a function ($f$) to assist in numerical approximations.
1 code implementation • 15 Oct 2020 • Michael F. Zimmer
The purpose of this paper is to improve upon existing variants of gradient descent by solving two problems: (1) removing (or reducing) the plateau that occurs while minimizing the cost function, (2) continually adjusting the learning rate to an "ideal" value.
no code implementations • 20 May 2017 • Michael F. Zimmer
A different parametrization of the hyperplanes is used in the neural network algorithm.