2 citations · 2 across the 8 of their papers we have counts for
8 papers
Comment on "Machine learning conservation laws from differential equations"
Michael F. Zimmer
The paper [1] by Liu, Madhavan, and Tegmark sought to use machine learning methods to elicit known conservation laws for several systems. However, in their example of a damped 1D h…
Constants of Motion for Conserved and Non-conserved Dynamics
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 symme…
Extracting Dynamical Models from Data
Michael F. Zimmer
The problem of determining the underlying dynamics of a system when only given data of its state over time has challenged scientists for decades. In this paper, the approach of usi…
2nd-order Updates with 1st-order Complexity
Michael F. Zimmer
It has long been a goal to efficiently compute and use second order information on a function () to assist in numerical approximations. Here it is shown how, using only basic ph…
Neograd: Near-Ideal Gradient Descent
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…
Speedup from a different parametrization within the Neural Network algorithm
Michael F. Zimmer
A different parametrization of the hyperplanes is used in the neural network algorithm. As demonstrated on several autoencoder examples it significantly outperforms the usual param…
Two direct solvers for a system of linear equations
Michael F. Zimmer
A system of linear equations is normally understood as a linear mapping between two vector spaces. However, most direct solutions (e.g., QR, LU, ...) rely on the inelegant approach…
A row space method for solving a system of linear equations
Michael F. Zimmer
A new algorithm is presented for computing a direct solution to a system of consistent linear equations. It produces a minimum norm particular solution, a generalized inverse (of t…