Estimating the Topology of Low-Dimensional Data Using Deep Neural Networks

Closing Date: 31 August 2021Apply Now

PhD Scholarship

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. The aim of this project is to achieve a better understanding of these spaces and a computationally efficient approach that can be used for their analysis in real-world applications.


The PhD candidate(s) will be part of a small team of researchers who will utilise concepts and techniques from computational topology, visualisation and deep neural networks. A significant component of the research task is the generation of simulated data. Another component is the design and training of deep neural networks where existing libraries can be combined with new implementations.

Training can be conducted using the local DGX station. Real-world applications may be considered in areas such as material science, medical imaging, dynamical systems and minerals or resources analysis.

PhD Scholarship details

Funding: $28,597 per annum (2021 rate) indexed annually. For a PhD candidate, the living allowance scholarship is for 3.5 years and the tuition fee scholarship is for four years. Scholarships also include up to $1,500 relocation allowance and Overseas Student Health Cover at single rate, for an international candidate.

Supervisor: Stephan Chalup

Available to: Domestic and International students


Eligibility Criteria

Candidates with background and interest in relevant areas of computing or mathematics and related disciplines will be considered.

The applicants will need to meet the minimum eligibility criteria for admission.

Application Procedure

Interested applicants should send an email expressing their interest along with scanned copies of their academic transcripts, CV, a brief statement of their research interests and a proposal that specifically links them to the research project.

Please send the email expressing interest to by 5pm on 31 August 2021.

Applications Close 31 August 2021 Apply Now

Contact Stephan Chalup
Phone +61 2 4921 6080

PhD and Research MastersFind out more

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