Interpolating Masked Weak Lensing Signal with Karhunen-Loeve Analysis
arXiv:1109.5175 · doi:10.1088/0004-637X/744/2/180
Abstract
We explore the utility of Karhunen Loeve (KL) analysis in solving practical problems in the analysis of gravitational shear surveys. Shear catalogs from large-field weak lensing surveys will be subject to many systematic limitations, notably incomplete coverage and pixel-level masking due to foreground sources. We develop a method to use two dimensional KL eigenmodes of shear to interpolate noisy shear measurements across masked regions. We explore the results of this method with simulated shear catalogs, using statistics of high-convergence regions in the resulting map. We find that the KL procedure not only minimizes the bias due to masked regions in the field, it also reduces spurious peak counts from shape noise by a factor of ~ 3 in the cosmologically sensitive regime. This indicates that KL reconstructions of masked shear are not only useful for creating robust convergence maps from masked shear catalogs, but also offer promise of improved parameter constraints within studies of shear peak statistics.
13 pages, 9 figures; submitted to ApJ
References in corpus (10)
- Stellar and total baryon mass fractions in groups and clusters since redshift 1
- GaBoDS: The Garching-Bonn Deep Survey -- IX. A sample of 158 shear-selected mass concentration candidates
- Evolution of Massive Haloes in non-Gaussian Scenarios
- Noisy weak-lensing convergence peak statistics near clusters of galaxies and beyond
- Shear Power Spectrum Reconstruction using Pseudo-Spectrum Method
- Rejuvenating Power Spectra II: the Gaussianized galaxy density field
- Re-capturing cosmic information
- Imprints of primordial non-Gaussianity on the number counts of cosmic shear peaks
- 3D Reconstruction of the Density Field: An SVD Approach to Weak Lensing Tomography
- Weak Lensing Peak Finding: Estimators, Filters, and Biases
Cited by in corpus (13)
- Cosmology Constraints from the Weak Lensing Peak Counts and the Power Spectrum in CFHTLenS
- The Effective Number Density of Galaxies for Weak Lensing Measurements in the LSST Project
- Emulating the CFHTLenS Weak Lensing data: Cosmological Constraints from moments and Minkowski functionals
- Two- and three-dimensional wide-field weak lensing mass maps from the Hyper Suprime-Cam Subaru Strategic Program S16A data
- Baryon impact on weak lensing peaks and power spectrum: low-bias statistics and self-calibration in future surveys
- ADDGALS: Simulated Sky Catalogs for Wide Field Galaxy Surveys
- KiDS-450: Enhancing cosmic shear with clipping transformations
- Effect of Measurement Errors on Predicted Cosmological Constraints from Shear Peak Statistics with LSST
- The impact of spurious shear on cosmological parameter estimates from weak lensing observables
- Dealing with missing data: An inpainting application to the MICROSCOPE space mission
- Shedding Light on the Matter of Abell 781
- A pseudo-spectrum analysis of galaxy-galaxy lensing
- Masked areas in shear peak statistics: a forward modeling approach