Covers: theory of Topological Convolutional Neural Networks

0- How can we use topology to understand the internal states of a CNN?

Read sections 1, 3,4,5

Gunnar Carlsson, Rickard Br¨uel Gabrielsson

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Contributors

- Objectives
- Introduction to topological deep learning, and more specifically topological convolutional neural networks.
- Potential Use Cases
- TCNNs learn faster, on less data, with fewer learned parameters, and with greater generalizability and interpretability than conventional CNNs.
- Who is This For ?
- INTERMEDIATEML practitioners and enthusiasts who are interested in developments of TDA

Click on each of the following **annotated items** to see details.

OTHER 1. Convolutional Neural Network

- What is a convolutional neural network?

10 minutes

PAPER 2. Topological Approaches to Deep Learning

- How can we use topology to understand the internal states of a CNN?

10 minutes

ARTICLE 3. Topological Deep Learning

- How can we use the latent manifolds of image data in the structure of convolutional neural networks?

20 minutes

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