Welcome to MTNeedlet’s documentation!

MTNeedlet is a small Python package created to filter spherical (Healpix) maps and analyse the maxima population. It has been developed with the CMB in mind, but it can be applied to other spherical maps. It pivots around three basic steps:

1. The calculation of several types of needlets and their possible use to filter maps.

2. The detection of maxima (or minima) on spherical maps, their visualization and basic analysis.

3. The multiple testing approach in order to detect anomalies in the maxima population of the maps with respect to the expected behaviour for a random Gaussian map.

The original code was created to reproduce the results on 1 and it was later used to produce the results on 2. This software heavily relies on Healpy (the Healpix implementation for Python) to eficiently deal with spherical maps.

Contents:

• Installation
  • Installation with pip (recomended)
  • Source code
• Needlets
  • Needlet creation
  • Map filtering
  • Needlet visualization
• Maxima
  • Maxima detection
  • Analysis
  • Maxima visualization
• Multiple Testing
  • Theoretical distribution \(f\)
  • pvalues
  • Multiple testing
• Extra tools
  • Visualization

Indices and tables

• Index

• Module Index

• Search Page

1

Cheng, D., Cammarota, V., Fantaye, Y., Marinucci, D., & Schwartzman, A. (2016). Multiple testing of local maxima for detection of peaks on the (celestial) sphere. Bernoulli, in press, arXiv preprint arXiv:1602.08296.

2

Carron Duque, J., Buzzelli, A., Fantaye, Y., Marinucci, D., Schwartzman, A., & Vittorio, N. (2019). Point Source Detection and False Discovery Rate Control on CMB Maps. Astronomy and Computing https://doi.org/10.1016/j.ascom.2019.100310 .