Differentiating small-scale subhalo distributions in CDM and WDM models using persistent homology
The spatial distribution of galaxies at sufficiently small scales will encode information about
the identity of the dark matter. We develop a novel description of the halo distribution using …
the identity of the dark matter. We develop a novel description of the halo distribution using …
Topological features of multivariate distributions: Dependency on the covariance matrix
Topological data analysis provides a new perspective on many problems in the domain of
complex systems. Here, we establish the dependency of mean values of functional p-norms …
complex systems. Here, we establish the dependency of mean values of functional p-norms …
Computing the matching distance of 2-parameter persistence modules from critical values
The exact computation of the matching distance for multi-parameter persistence modules is
an active area of research in computational topology. Achieving an easily obtainable exact …
an active area of research in computational topology. Achieving an easily obtainable exact …
Persistent Homology analysis for solar magnetograms
PS Guerrero, Y Katsukawa, S Toriumi… - The Astrophysical …, 2024 - iopscience.iop.org
Understanding the magnetic fields of the Sun is essential for unraveling the underlying
mechanisms driving solar activity. Integrating topological data analysis techniques into these …
mechanisms driving solar activity. Integrating topological data analysis techniques into these …
A Divide-and-Conquer Approach to Persistent Homology
C Li, J Cisewski-Kehe - arXiv preprint arXiv:2410.01839, 2024 - arxiv.org
Persistent homology is a tool of topological data analysis that has been used in a variety of
settings to characterize different dimensional holes in data. However, persistent homology …
settings to characterize different dimensional holes in data. However, persistent homology …
Persistent Homology Analysis for Solar Magnetograms
P Santamarina, Y Katsukawa, S Toriumi… - 2024 - digital.csic.es
Understanding the magnetic fields of the Sun is essential for unraveling the underlying
mechanisms driving solar activity. Integrating topological data analysis techniques into these …
mechanisms driving solar activity. Integrating topological data analysis techniques into these …
Some new results on the matching distance in biparameter persistent homology
E Mosig García - amslaurea.unibo.it
When studyng monoparameter persistent homology, the bottleneck distance is the most
standard choice in literature. The advantage of this choice is that persistence diagrams in …
standard choice in literature. The advantage of this choice is that persistence diagrams in …
[PDF][PDF] Some new results on the matching distance in biparameter persistent homology
P Frosini, F Tombari, N Quercioli, EM Garcıa - amslaurea.unibo.it
When studyng monoparameter persistent homology, the bottleneck distance is the most
standard choice in literature. The advantage of this choice is that persistence diagrams in …
standard choice in literature. The advantage of this choice is that persistence diagrams in …
[PDF][PDF] Geometric Interpretation and Visualization of Multi-Parameter Persistent Homology (22frg267)
Digital data are being produced at a constantly increasing pace, and their availability is
changing the approach to science and technology. The fundamental hypothesis of …
changing the approach to science and technology. The fundamental hypothesis of …
Morse-based Fibering of the Persistence Rank Invariant
Although there is no doubt that multi-parameter persistent homology is a useful tool to
analyze multi-variate data, efficient ways to compute these modules are still lacking in the …
analyze multi-variate data, efficient ways to compute these modules are still lacking in the …