TopoFisher optimizes trainable filtrations, vectorizations, and compressors in persistent homology to maximize Fisher information, yielding higher information than fixed cosmological summaries and approaching neural baselines with far fewer parameters while generalizing better under simulator shifts
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Robust Morphological Measures for Large-Scale Structure in the Universe
10 Pith papers cite this work, alongside 89 external citations. Polarity classification is still indexing.
10
Pith papers citing it
89
external citations · Pith
abstract
We propose a novel method for the description of spatial patterns formed by a coverage of point sets representing galaxy samples. This method is based on a complete family of morphological measures known as Minkowski functionals, which includes the topological Euler characteristic and geometric descriptors to specify the content, shape and connectivity of spatial sets. The method is numerically robust even for small samples, independent of statistical assumptions, and yields global as well as local morphological information. We illustrate the method by applying it to a Poisson process, a `double-Poisson' process, and to the Abell catalogue of galaxy clusters.
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representative citing papers
Augmented correlation functions extend the two-point correlation function with latent dimensions derived from the galaxy field to isolate additional clustering information in spectroscopic surveys.
Empirical three-parameter fit to f_esc(M_h,z) yields steep redshift evolution with population-averaged escape fraction rising from ~2% at z=5 to ~9% at z=12.
Betti curves from persistent homology of large-scale structure provide complementary cosmological constraints on ns, sigma8, and Om, with tighter bounds when analyzed jointly with the power spectrum.
Galactic foregrounds display a universal excess-kurtosis non-Gaussian signature stable across scales that arises from heavy-tailed one-point statistics plus steep spatial correlations.
The Sloan basin of attraction is the largest gravitational basin in the local volume, spanning a diameter of ~0.13c with streamlines converging on the Sloan Great Wall, reconstructed from Cosmicflows-4 data.
Reviews multiple higher-order statistics for 21-cm intensity mapping and forecasts their detectability with SKAO, incorporating noise and foreground effects.
This review summarizes SKA-Low's tomographic imaging potential for the 21-cm signal and its connection to the global 21-cm signal.
A review chapter on tools for inferring galaxy and IGM properties from the 21 cm signal using the initial SKA-Low array configuration.
An overview summarizing SKA-Low 21cm experiments for power spectrum, tomography, 21-cm forest, and cross-correlations, plus critical telescope features, building on the 2015 SKA Science Book.
citing papers explorer
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TopoFisher: Learning Topological Summary Statistics by Maximizing Fisher Information
TopoFisher optimizes trainable filtrations, vectorizations, and compressors in persistent homology to maximize Fisher information, yielding higher information than fixed cosmological summaries and approaching neural baselines with far fewer parameters while generalizing better under simulator shifts
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Augmented Correlation Functions for Spectroscopic Galaxy Surveys
Augmented correlation functions extend the two-point correlation function with latent dimensions derived from the galaxy field to isolate additional clustering information in spectroscopic surveys.
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Steep Redshift Evolution of the Ionizing Escape Fraction at $z = 5$--$12$: Empirical Constraints and Comparison with Simulations
Empirical three-parameter fit to f_esc(M_h,z) yields steep redshift evolution with population-averaged escape fraction rising from ~2% at z=5 to ~9% at z=12.
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Counting voids and filaments: Betti Curves as a Powerful Probe for Cosmology
Betti curves from persistent homology of large-scale structure provide complementary cosmological constraints on ns, sigma8, and Om, with tighter bounds when analyzed jointly with the power spectrum.
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Understanding the non-Gaussian nature of Galactic foreground emissions towards small scales
Galactic foregrounds display a universal excess-kurtosis non-Gaussian signature stable across scales that arises from heavy-tailed one-point statistics plus steep spatial correlations.
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Cosmography of the Sloan Basin of Attraction and Neighborhood
The Sloan basin of attraction is the largest gravitational basin in the local volume, spanning a diameter of ~0.13c with streamlines converging on the Sloan Great Wall, reconstructed from Cosmicflows-4 data.
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Cosmology with Intensity Mapping via Statistics Beyond the Power Spectrum in the SKAO Era
Reviews multiple higher-order statistics for 21-cm intensity mapping and forecasts their detectability with SKAO, incorporating noise and foreground effects.
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Imaging the 21-cm Signal from the Cosmic Dawn & Epoch of Reionization and the Connection with the Global Signal
This review summarizes SKA-Low's tomographic imaging potential for the 21-cm signal and its connection to the global 21-cm signal.
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Inferring Cosmology and Astrophysics from the High-redshift 21cm Signal with SKA-Low
A review chapter on tools for inferring galaxy and IGM properties from the 21 cm signal using the initial SKA-Low array configuration.
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Overview of 21cm Experiments at high redshift with SKAO
An overview summarizing SKA-Low 21cm experiments for power spectrum, tomography, 21-cm forest, and cross-correlations, plus critical telescope features, building on the 2015 SKA Science Book.