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AI3SD Video: Topology: From shapes to numbers

AI3SD Video: Topology: From shapes to numbers
AI3SD Video: Topology: From shapes to numbers
Topology is a branch of mathematics that concerns itself with a study of shape and how to describe them through computable numerical characteristics. While this sounds inauspicious, in the last two decades we witnessed a very rapid development of Topological Data Analysis (TDA), which has now established itself as a key part of modern data-driven science alongside machine learning and statistics. There are now very many examples of how TDA can be used to derive information from complex data sets and to provide insight into complex scientific problems. In this talk, we will introduce the main tools of TDA and to illustrate their applications to the problem of solubility of chemical compounds. The talk will also serve as an introduction to the other talks in this session.
AI3SD Event, Chemistry, Geometry, Mathematics, Molecules, Topological Data Analysis, Topology
Brodzki, Jacek
b1fe25fd-5451-4fd0-b24b-c59b75710543
Kanza, Samantha
b73bcf34-3ff8-4691-bd09-aa657dcff420
Frey, Jeremy G.
ba60c559-c4af-44f1-87e6-ce69819bf23f
Niranjan, Mahesan
5cbaeea8-7288-4b55-a89c-c43d212ddd4f
Hooper, Victoria
af1a99f1-7848-4d5c-a4b5-615888838d84
Brodzki, Jacek
b1fe25fd-5451-4fd0-b24b-c59b75710543
Kanza, Samantha
b73bcf34-3ff8-4691-bd09-aa657dcff420
Frey, Jeremy G.
ba60c559-c4af-44f1-87e6-ce69819bf23f
Niranjan, Mahesan
5cbaeea8-7288-4b55-a89c-c43d212ddd4f
Hooper, Victoria
af1a99f1-7848-4d5c-a4b5-615888838d84

Brodzki, Jacek (2020) AI3SD Video: Topology: From shapes to numbers. Kanza, Samantha, Frey, Jeremy G., Niranjan, Mahesan and Hooper, Victoria (eds.) AI3SD Winter Seminar Series, Online, Southampton, United Kingdom. 18 Nov 2020 - 24 Feb 2021 . (doi:10.5258/SOTON/P0089).

Record type: Conference or Workshop Item (Other)

Abstract

Topology is a branch of mathematics that concerns itself with a study of shape and how to describe them through computable numerical characteristics. While this sounds inauspicious, in the last two decades we witnessed a very rapid development of Topological Data Analysis (TDA), which has now established itself as a key part of modern data-driven science alongside machine learning and statistics. There are now very many examples of how TDA can be used to derive information from complex data sets and to provide insight into complex scientific problems. In this talk, we will introduce the main tools of TDA and to illustrate their applications to the problem of solubility of chemical compounds. The talk will also serve as an introduction to the other talks in this session.

Video
AI3SDWinterSeminarSeries-1-Topology-JB-181120 - Version of Record
Available under License Creative Commons Attribution.
Download (31MB)

More information

Published date: 18 November 2020
Additional Information: Professor Jacek Brodzki is Professor of Pure Mathematics at the University of Southampton. He is fascinated by interactions between analysis and geometry. His current work revolves around problems in noncommutative geometry arising from the Baum-Connes conjecture, including characterisations of property A, exactness of groups and their consequences. A very important part of Jacek’s research concentrates on applications of geometry and topology to modern data analysis, which was supported by the EPSRC through the programme “Joining the dots: From data to insight” (JTD). He leads a research group which works on creating a deep integration of topological data analysis, machine learning and statistics.
Venue - Dates: AI3SD Winter Seminar Series, Online, Southampton, United Kingdom, 2020-11-18 - 2021-02-24
Keywords: AI3SD Event, Chemistry, Geometry, Mathematics, Molecules, Topological Data Analysis, Topology

Identifiers

Local EPrints ID: 447582
URI: http://eprints.soton.ac.uk/id/eprint/447582
PURE UUID: 1bc0c875-b3cc-4385-a0dd-ae1b9662ad66
ORCID for Samantha Kanza: ORCID iD orcid.org/0000-0002-4831-9489
ORCID for Jeremy G. Frey: ORCID iD orcid.org/0000-0003-0842-4302

Catalogue record

Date deposited: 16 Mar 2021 17:44
Last modified: 26 Mar 2021 02:58

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Contributors

Author: Jacek Brodzki
Editor: Samantha Kanza ORCID iD
Editor: Jeremy G. Frey ORCID iD
Editor: Mahesan Niranjan
Editor: Victoria Hooper

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