Starlet higher order statistics for galaxy clustering and weak lensing

Abstract

We present a first application to photometric galaxy clustering and weak lensing of wavelet based multi-scale higher order summary statistics: starlet peak counts and starlet ${\ell }_1$-norm. Peak counts are the local maxima in the map and the ${\ell }_1$-norm is computed via the sum of the absolute values of the starlet (wavelet) decomposition coefficients of a map, providing a fast multi-scale calculation of the pixel distribution, encoding the information of all pixels in the map. We employ the cosmo-SLICS simulations sources and lenses catalogues and we compute wavelet based higher order statistics in the context of combined probes and their potential when applied to the weak lensing convergence maps and galaxy maps. We get forecasts on the matter density parameter ${\Omega }_{\mathrm{m}}$, the reduced Hubble constant $h$, the matter fluctuation amplitude ${\sigma }_8$, and the dark energy equation of state parameter $w_0$. We find that, in our setting for this first application, considering the two probes as independent, starlet peaks and the ${\ell }_1$-norm represent interesting summary statistics that can improve the constraints with respect to the power spectrum also in the case of photometric galaxy clustering and when the two probes are combined.

A&A Letters to the Editor, Forthcoming article, accepted

References in corpus (17)

• Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• A discriminating probe of gravity at cosmological scales
• KiDS-450: Cosmological Constraints from Weak Lensing Peak Statistics - II: Inference from Shear Peaks using N-body Simulations
• KiDS-450: Cosmological Constraints from Weak Lensing Peak Statistics-I: Inference from Analytical Prediction of High Signal-to-Noise Ratio Convergence Peaks
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Cluster Abundances, Weak Lensing, and Galaxy Correlations
• Cosmic Shear Cosmology Beyond 2-Point Statistics: A Combined Peak Count and Correlation Function Analysis of DES-Y1
• Dark Energy Survey Year 3 Results: Optimizing the Lens Sample in Combined Galaxy Clustering and Galaxy-Galaxy Lensing Analysis
• A new model to predict weak-lensing peak counts I. Comparison with $N$-body Simulations
• Cosmological constraints with weak lensing peak counts and second-order statistics in a large-field survey
• Dark Energy Survey Year 3 Results: Multi-Probe Modeling Strategy and Validation
• Going deep with Minkowski functionals of convergence maps
• Starlet l1-norm for weak lensing cosmology
• Higher order statistics of shear field: a machine learning approach
• Minkowski Functionals in Joint Galaxy Clustering & Weak Lensing Analyses
• A revised density split statistic model for general filters
• UNIONS: The impact of systematic errors on weak-lensing peak counts

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