کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4607607 | 1337872 | 2011 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Sparse representations and approximation theory
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
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چکیده انگلیسی
This paper is an attempt to both expound and expand upon, from an approximation theorist’s point of view, some of the theoretical results that have been obtained in the sparse representation (compressed sensing) literature. In particular, we consider in detail ℓ1m-approximation, which is fundamental in the theory of sparse representations, and the connection between the theory of sparse representations and certain nn-width concepts. We try to illustrate how the theory of sparse representation leads to new and interesting problems in approximation theory, while the results and techniques of approximation theory can further add to the theory of sparse representations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 163, Issue 3, March 2011, Pages 388–412
Journal: Journal of Approximation Theory - Volume 163, Issue 3, March 2011, Pages 388–412
نویسندگان
Allan Pinkus,