Niklas Hellmer
I read the news today - oh, boy/ Four thousand holes in Blackburn, Lancashire/ And though the holes were rather small/ They had to count them all/ Now they know how many holes it takes to fill the Albert Hall-The Beatles, A Day In The Life
I'm a fourth year PhD student interested in metrics for persistence diagrams and modules and interactions of TDA with statistics.
Watch my AATRN seminar talk:
Personal Information
Dioscuri Centre in Topological Data AnalysisInstytut Matematyczny PAN
Room 16
Sniadeckich 8, 00-656 Warszawa
ORCID Here is a recent CV.
News
- 10/01/2024:
- - Preprint "When Do Two Distributions Yield the Same Expected Euler Characteristic Curve in the Thermodynamic Limit?" on the ArXiv.
- 13/12/2023:
- - Giving a talk at the AATRN semnar.
- 09/11/2023:
- - "Topology-driven goodness of fit tests in arbitrary dimensions" published online at Stat Comput.
- 07/11/2023:
- - Giving a talk at the TU Munich applied topology seminar.
- 23/10/2023:
- - Giving a talk at the University of Michigan Dearborn Math and Statistics colloquium.
- 24/09/2023:
- - Starting my visit to Bastian Rieck's AIDOS lab at Helmholtz Munich (stay until christmas)
- 08/05/2023:
- - "Bottleneck Profiles and Discrete Prokhorov Metric for Persistence Diagrams" released online at DCG.
- 28/10/2022:
- - Preprint "Topology-Driven Goodness-of-Fit Tests in Arbitrary Dimensions" on the ArXiv.
- 10.-14.10.2022
- - Attending the workshop on geometry, topology and statistics at Institut Henri Poincare, Paris.
- winter term 2022/23
- - teaching recitation classes for Analysis I for WNE.
- 28.-30.09.2022
- - Attending the TDA Workshop in Heidelberg, giving a "lightning talk" an Goodness-of-fit testing using Topology.
- 23/04/2022:
- - Giing a talk at the 4th (Virtual) International Conference on Trauma Surgery Technology 2022, dedicated to Mathematics in Medical Diagnostics .
- 04/03/2022:
- - Teaching labs for Pawel's course "Invitation to TDA".
- 10/11/2021:
- - Giving a talk at the Dioscuri Seminar.
- 22/10/2021:
- - Giving a talk in Piotr Hajac's Noncommutative Geometry Seminar about Persistent Homology: Algebra, Metrics, Stability.
- 04/10/2021:
- - Back in office!
- 21/07/2021:
- - Talk at the Lorentz Centre Workshop on Metrics in Multiparameter Persistence.
- 7/06/2021:
- - Preprint "Bottleneck Profiles and Discrete Prokhorov Metric for Persistence Diagrams" on the ArXiv.
- 30/04/2021:
- - Poster presentation "Discrete Prokhorov Metric for Persistence Diagrams" at TDA workshop at IMSI.
- 21/02/2021:
- - Talk about "Discrete Prokhorov Metric for Persistence Diagrams" at APATG.
- 15/10/2020:
- - Official inauguration of the Dioscuri Centre.
- 1/10/2020:
- - I move to Dioscuri TDA at IMPAN.
- 29/09/2020:
- - Talk about "New Metrics for Persistence Diagrams" at the Second Symposium on Machine Learning and Dynamical Systems. Video.
- 21/08/2020:
- - OxCOVID19DB preprint on medRxiv.
Publications
(BibTeX)[4]
T. Fleckenstein and N. Hellmer, ‘When Do Two Distributions Yield the Same Expected Euler Characteristic Curve in the Thermodynamic Limit?’, arXiv: 2401.04580, Jan. 2024.
[3]
P. Dłotko, N. Hellmer, Ł. Stettner, and R. Topolnicki, ‘Topology-driven goodness-of-fit tests in arbitrary dimensions’, Stat Comput, vol. 34, no. 1, p. 34, Nov. 2023, doi: 10.1007/s11222-023-10333-0.
[2]
P. Dłotko and N. Hellmer, ‘Bottleneck Profiles and Discrete Prokhorov Metrics for Persistence Diagrams’, Discrete Comput Geom, May 2023, doi: 10.1007/s00454-023-00498-w.
[1]
A. Mahdi et al., ‘OxCOVID19 Database, a multimodal data repository for better understanding the global impact of COVID-19’, Scientific Reports, vol. 11, no. 1, Art. no. 1, Apr. 2021, doi: 10.1038/s41598-021-88481-4.