activity
20192026
most citedPersistent homology in cosmic shear: constraining parameters with topological data analysis

52 citations · 190 across the 11 of their papers we have counts for

collaborators

12 papers

astro-ph.CO2026

KiDS-Legacy: Joint analysis of second- and third-order cosmic shear

L. Linke, L. Porth, P. Burger +21

Weak lensing by large-scale structure is a powerful cosmological probe. While most analyses rely on second-order correlations, these are primarily sensitive to the parameter combin…

stat.ML2026

TopoFisher: Learning Topological Summary Statistics by Maximizing Fisher Information

Matteo Biagetti, Mathieu Carrière, Francesco Conti +3

Persistence diagrams provide stable, interpretable summaries of geometric and topological structure and are useful for simulation-based inference when low-order statistics miss key…

astro-ph.CO2025

A roadmap to cosmological parameter analysis with third-order shear statistics IV. Analytic cross-covariance between second- and third-order aperture masses

Niek Wielders, Laila Linke, Pierre A. Burger +3

Weak gravitational lensing is a powerful probe of cosmology, with second-order shear statistics commonly used to constrain parameters such as the matter density and…

astro-ph.CO2024

KiDS-1000 and DES-Y1 combined: Cosmology from peak count statistics

Joachim Harnois-Deraps, Sven Heydenreich, Benjamin Giblin +10

We analyse the fourth data release of the Kilo Degree Survey (KiDS-1000) and extract cosmological parameter constraints based on the cosmic shear peak count statistics. Peaks are i…

astro-ph.CO2023★ 15 cited

A roadmap to cosmological parameter analysis with third-order shear statistics III: Efficient estimation of third-order shear correlation functions and an application to the KiDS-1000 data

Lucas Porth, Sven Heydenreich, Pierre Burger +2

Third-order lensing statistics contain a wealth of cosmological information that is not captured by second-order statistics. However, the computational effort for estimating such s…

astro-ph.CO2023★ 31 cited

KiDS-1000 cosmology: Combined second- and third-order shear statistics

Pierre A. Burger, Lucas Porth, Sven Heydenreich +9

This paper performs the first cosmological parameter analysis of the KiDS-1000 data with second- and third-order shear statistics. This work builds on a series of papers that descr…

astro-ph.CO2023★ 6 cited

What is the super-sample covariance? A fresh perspective for second-order shear statistics

Laila Linke, Pierre A. Burger, Sven Heydenreich +2

Cosmological analyses of second-order weak lensing statistics require precise and accurate covariance estimates. These covariances are impacted by two sometimes neglected terms: A…

astro-ph.CO2022★ 9 cited

A roadmap to cosmological parameter analysis with third-order shear statistics II: Analytic covariance estimate

Laila Linke, Sven Heydenreich, Pierre A. Burger +1

Third-order weak lensing statistics are a promising tool for cosmological analyses since they extract cosmological information in the non-Gaussianity of the cosmic large-scale stru…

astro-ph.CO2022★ 25 cited

A roadmap to cosmological parameter analysis with third-order shear statistics I: Modelling and validation

Sven Heydenreich, Laila Linke, Pierre Burger +1

In this work, which is the first of a series to prepare a cosmological parameter analysis with third-order cosmic shear statistics, we model both the shear three-point correlation…

astro-ph.CO2022★ 33 cited

Persistent homology in cosmic shear II: A tomographic analysis of DES-Y1

Sven Heydenreich, Benjamin Brück, Pierre Burger +5

We demonstrate how to use persistent homology for cosmological parameter inference in a tomographic cosmic shear survey. We obtain the first cosmological parameter constraints from…

astro-ph.CO2020★ 52 cited

Persistent homology in cosmic shear: constraining parameters with topological data analysis

Sven Heydenreich, Benjamin Brück, Joachim Harnois-Déraps

In recent years, cosmic shear has emerged as a powerful tool to study the statistical distribution of matter in our Universe. Apart from the standard two-point correlation function…

astro-ph.CO2019★ 19 cited

The effects of varying depth in cosmic shear surveys

Sven Heydenreich, Peter Schneider, Hendrik Hildebrandt +7

We present a semi-analytic model for the shear two-point correlation function of a cosmic shear survey with non-uniform depth. Ground-based surveys are subject to depth variations…