A Topological Deep Learning Framework for Neural Spike Decoding

1 code implementation • 1 Dec 2022 • Edward C. Mitchell, Brittany Story, David Boothe, Piotr J. Franaszczuk, Vasileios Maroulas

Brains use head direction cells to determine orientation whereas grid cells consist of layers of decked neurons that overlay to provide environment-based navigation.

Trajectory Prediction

The Impact of Changes in Resolution on the Persistent Homology of Images

1 code implementation • 10 Nov 2021 • Teresa Heiss, Sarah Tymochko, Brittany Story, Adélie Garin, Hoa Bui, Bea Bleile, Vanessa Robins

Digital images enable quantitative analysis of material properties at micro and macro length scales, but choosing an appropriate resolution when acquiring the image is challenging.

Topological Data Analysis

Support vector machines and Radon's theorem

1 code implementation • 1 Nov 2020 • Henry Adams, Elin Farnell, Brittany Story

A support vector machine (SVM) is an algorithm that finds a hyperplane which optimally separates labeled data points in $\mathbb{R}^n$ into positive and negative classes.