## Welcome to MINDS!

Established in 2020, POSTECH Mathematical Institute for Data Science (MINDS) is the community of researchers in the areas of fundamental data science, machine learning, artificial intelligence, scientific computing, and humanitarian data science. MINDS mission is to provide a platform for collaboration among researchers and to provide various opportunities for students in data science. MINDS also aims to use our data science research to serve our local and global communities pursuing humanitarian data science.

## News

🌟 DACON Ranker Special Lecture: Winning Strategies for AI Competitions 🌟
2023.11.30

3nd POSTECH&Peking SIAM Student Chapter Joint Conference
2023.11.01

2023 PSSC Summer Camp
2023.10.04

[POSTECH(포항공과대학교) 수리 데이터과학 연구소 연구계약직 공고]-상시모집
2023.07.25

[POSTECH(포항공과대학교) 수리 데이터과학 연구소 연구계약직 공고]
2023.07.14

[POSTECH(포항공과대학교) 수리 데이터과학 연구소 연구교수 채용 공고]
2023.06.12

Seminar | Joint seminar for probability and mathematical biology
2023.05.02

[POSTECH(포항공과대학교) 수리 데이터과학 연구소 연구계약직 공고]
2023.02.15

## Upcoming Events

Schedule

MINDS SEMINAR

# MINDS-CM2LA Seminar Series | Woo-Jin Kim (KAIST) - Persistence Diagrams at the Crossroads of Algebra and Combinatorics

MINDS SEMINAR

period : 2023-12-12 ~ 2023-12-12

time : 17:00:00 ~ 18:00

개최 장소 : Math Bldg 404 & Online streaming (Zoom)

Topic : Persistence Diagrams at the Crossroads of Algebra and Combinatorics

개요

Date | 2023-12-12 ~ 2023-12-12 | Time | 17:00:00 ~ 18:00 |

Speaker | Woo-Jin Kim | Affiliation | KAIST |

Place | Math Bldg 404 & Online streaming (Zoom) | Streaming link | ID : 688 896 1076 / PW : 54321 |

Topic | Persistence Diagrams at the Crossroads of Algebra and Combinatorics | ||

Contents | Persistent Homology (PH) is a method used in Topological Data Analysis (TDA) to extract multiscale topological features from data. Via PH, the multiscale topological features of a given dataset are encoded into a persistence module (indexed by a totally ordered set) and in turn, summarized by a persistence diagram. In order to extend PH so as to be able to study wider types of data (e.g. time-varying point clouds), variations of the indexing set of persistence modules must inevitably occur, leading for example to multiparameter persistence modules, i.e. persistence modules indexed by the n-dimensional grid. It is however not always evident how to define a notion of persistence diagram for such variants. This talk will introduce a generalized notion of persistence diagram for such variants which arises through exploiting both the principle of inclusion and exclusion from combinatorics and the canonical map from the limit to the colimit of a diagram of vector spaces (these being notions from category theory). We also discuss (1) how the generalized persistence diagram subsumes some other well-known invariants of multiparameter persistence modules and (2) algorithmic considerations for computing the generalized persistence diagram. |

MinDS
·
2023-10-20 10:26 ·
Views 331

## POSTECH SIAM Student Chapter

## 🌟 DACON Ranker Special Lecture: Winning Strategies for AI Competitions 🌟

## 2023 POSTECH & Peking SIAM Student Chapter Joint Conference

## 2023 PSSC Summer Camp

## 2022 PSSC Summer Camp

## 2022 POSTECH & Peking SIAM Student Chapter Joint Conference

## MINDS-MoNET-ISE Workshop

## Information, Network & Topological Data Analysis

2021 POSTECH MINDS WORKSHOP

## Recent Progress in Data Science and Applications

- Nov. 19(Fri) ~ Nov. 20(Sat) 2021 (1 Night 2 Days)
- Workshop homepage

## Fall 2021 Seminar Series

MINDS Seminar Series on Data Science, Machine Learning, and Scientific Computing

Every Tuesdays 05:00 PM

## ILJU POSTECH MINDS Workshop on TDA and ML

July 6 ~ July 9

Registration is required (please register here)