کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6416916 1337545 2015 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The stochastic properties of ℓ1-regularized spherical Gaussian fields
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The stochastic properties of ℓ1-regularized spherical Gaussian fields
چکیده انگلیسی

Convex regularization techniques are now widespread tools for solving inverse problems in a variety of different frameworks. In some cases, the functions to be reconstructed are naturally viewed as realizations from random processes; an important question is thus whether such regularization techniques preserve the properties of the underlying probability measures. We focus here on a case which has produced a very lively debate in the cosmological literature, namely Gaussian and isotropic spherical random fields, and we prove that neither Gaussianity nor isotropy are conserved in general under convex regularization based on ℓ1 minimization over a Fourier dictionary, such as the orthonormal system of spherical harmonics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 38, Issue 2, March 2015, Pages 262-283
نویسندگان
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