Discovery Projects - Grant ID: DP210103304

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP210103304

Funding Status
Active

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Funded Activity Summary

Estimating the Topology of Low-Dimensional Data Using Deep Neural Networks. This project will expand on the superhuman visual capabilities of deep neural networks to allow us to analyse the topology of 3- and 4-dimensional manifolds. While these spaces still count as low-dimensional, 4-dimensional manifolds typically are beyond human visual comprehension. The topology of a manifold describes its essential properties such as the number of connected components, holes, tunnels and cavities of various dimensions. Traditional methods from computational topology fail in large practical applications due to computational restrictions. We propose an approximation that overcomes previous limitations and can open new doors to data analysis in material science, medical imaging, dynamical systems and other applications.

Funded Activity Details

Start Date: 15-03-2021

End Date: 14-03-2024

Funding Scheme: Discovery Projects

Funding Amount: $411,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Neural, Evolutionary and Fuzzy Computation | Applied Mathematics not elsewhere classified | Artificial Intelligence and Image Processing

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Information and Computing Sciences |

Other Keywords

Applied Mathematics not elsewhere classified | Artificial Intelligence and Image Processing | Expanding Knowledge in the Information and Computing Sciences | Neural, Evolutionary and Fuzzy Computation

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