Search Results for author: Michael F. Zimmer

Found 6 papers, 1 papers with code

Comment on "Machine learning conservation laws from differential equations"

no code implementations3 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.

Constants of Motion for Conserved and Non-conserved Dynamics

no code implementations28 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.

Time Series

Extracting Dynamical Models from Data

no code implementations13 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.

Numerical Integration Uncertainty Quantification

2nd-order Updates with 1st-order Complexity

no code implementations24 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.

Neograd: Near-Ideal Gradient Descent

1 code implementation15 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.

Speedup from a different parametrization within the Neural Network algorithm

no code implementations20 May 2017 Michael F. Zimmer

A different parametrization of the hyperplanes is used in the neural network algorithm.

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