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Topological Data Analysis Project
Durham University
2016 / 2017

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Entry Requirements


Fees and Costs



Topological Data Analysis (TDA) is a new research area on the interface between Mathematics and Computer Science.

TDA quantifies topological structures hidden in organized data such as point clouds by studying the data across all scales.

The fundamental result says that the topological description of data(a persistence diagram) is stable under perturbations, hence applicable to real noisy data.
Key Information

Start Date:

2016 Summer - August 15th
2017 Winter - TBD


2 Weeks

Fees and Costs:

£ 3060
Entry Requirements:

3.0/4.0 GPA

English qualification / Interview


Entry Requirements

Academic ability

Students are normally expected to achieve a minimum 3.0/4.0 GPA in engineering or a related discipline relevant for the proposed area of research, such as physics, computer science, applied mathematics or chemistry.

Language requirement

Students whose first language is not English are usually required to provide evidence of proficiency in English.

Acceptable English qualifications include:
• IELTS (International English Language Testing System) 
• TOEFL (Test of English as a Foreign Language)
• Pearson (Academic)
• Cambridge Advanced English (CAE)
• Trinity College Integrated Skills in English 

Students without any English qualificantion need to arrange an interview with program staff.


• Introduction to Data Analysis and Clustering
• Mapper Algorithm(the core product of Ayasdi)
• Minimum Spanning Tree and Neighborhood Graphs
• Delaunay Triangulation of a Point Cloud in the Plane • Reeb graph of a Planner Triangulation with a Function
• α-Reeb graphs for a Fast Data Skeletonisation
• Filtration of Delaunay Triangulation byα-complexes
• Homology of Plane Shapes in Dimension 0 and 1
• Persistence Diagrams of a Point Cloud in the Plane • Homologically Persistent Skeleton of a Point Could

Fees and Costs

Tuition Fee

£ 3650
( Fees cover the costs of all academic excursions. )
Application Fee
​£ 50
(Not Refundable)
Accomodation Fee

£ 1140


2016 Summer  
From Aug 15 to Aug 26

Date/Time                      Program Content

8.15                                  Start of program

8.15-8.19                         Meeting & Seminar: Research Proposal

8.22-8.26                         Meeting & Seminar: TBD

8.26                                  Project Outcome & Presentation

2017 Winter


To be decided.
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