Search Results for author: Jonathan D. Hauenstein

Found 3 papers, 1 papers with code

Machine learning the real discriminant locus

no code implementations24 Jun 2020 Edgar A. Bernal, Jonathan D. Hauenstein, Dhagash Mehta, Margaret H. Regan, Tingting Tang

This article views locating the real discriminant locus as a supervised classification problem in machine learning where the goal is to determine classification boundaries over the parameter space, with the classes being the number of real solutions.

The loss surface of deep linear networks viewed through the algebraic geometry lens

no code implementations17 Oct 2018 Dhagash Mehta, Tianran Chen, Tingting Tang, Jonathan D. Hauenstein

By using the viewpoint of modern computational algebraic geometry, we explore properties of the optimization landscapes of the deep linear neural network models.

Sampling real algebraic varieties for topological data analysis

1 code implementation21 Feb 2018 Emilie Dufresne, Parker B. Edwards, Heather A. Harrington, Jonathan D. Hauenstein

Topological data analysis (TDA) provides a growing body of tools for computing geometric and topological information about spaces from a finite sample of points.

Algebraic Topology Algebraic Geometry Numerical Analysis

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