2014
DOI: 10.1017/s1743921314010837
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PRISM: Sparse recovery of the primordial spectrum from WMAP9 and Planck datasets

Abstract: Abstract. The primordial power spectrum is an indirect probe of inflation or other structureformation mechanisms. We introduce a new method, named PRISM, to estimate this spectrum from the empirical cosmic microwave background (CMB) power spectrum. This is a sparsitybased inversion method, which leverages a sparsity prior on features in the primordial spectrum in a wavelet dictionary to regularise the inverse problem. This non-parametric approach is able to reconstruct the global shape as well as localised fea… Show more

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Cited by 2 publications
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“…This is by no means the last word as many other parametrizations exist, from light adjustments like a k dependent n s (running the power law), to specific model dependent features in the PPS like steps and valleys [25,26]. Given the large and diverse range of inflation models, there is a well established framework that seeks to reconstruct the PPS using a model independent approach [5,[39][40][41][42]. Much work has been done on this approach, using the Richardson-Lucy deconvolution algorithm [1,3,4,7,10,14].…”
Section: Introductionmentioning
confidence: 99%
“…This is by no means the last word as many other parametrizations exist, from light adjustments like a k dependent n s (running the power law), to specific model dependent features in the PPS like steps and valleys [25,26]. Given the large and diverse range of inflation models, there is a well established framework that seeks to reconstruct the PPS using a model independent approach [5,[39][40][41][42]. Much work has been done on this approach, using the Richardson-Lucy deconvolution algorithm [1,3,4,7,10,14].…”
Section: Introductionmentioning
confidence: 99%
“…Recent work has focussed on analyzing the the H 0 tension in context of a free-form P R (k) reconstruction using the improved Richardson-Lucy (IRL) deconvolution algorithm [6,17] as well as for general feature hunting. There are also other free-form and other reconstruction methods that have been developed [11,[36][37][38][39][40]43]. Results have shown promise within the bounds and assumptions of this method, and produce a relatively high frequency (with respect to the reconstruction bounds) oscillatory feature at high k regions, while considering a prior assumption of the H 0 , Ω m and σ 8 evaluated from local Universe observations and remaining parameters from ΛCDM inference.…”
Section: Introductionmentioning
confidence: 99%