DocumentCode
3065910
Title
Information theoretic bounds for low-rank matrix completion
Author
Vishwanath, Sriram
Author_Institution
Dept. of Electr. & Comput. Eng., Univ. of Texas at Austin, Austin, TX, USA
fYear
2010
fDate
13-18 June 2010
Firstpage
1508
Lastpage
1512
Abstract
This paper studies the low-rank matrix completion problem from an information theoretic perspective. The completion problem is rephrased as a communication problem of an (uncoded) low-rank matrix source over an erasure channel. The paper then uses achievability and converse arguments to present order-wise optimal bounds for the completion problem.
Keywords
information theory; matrix algebra; erasure channel; information theoretic bounds; low-rank matrix completion problem; order-wise optimal bounds; Algorithm design and analysis; Channel coding; Codes; Communication channels; Concrete; Quantization; Rate-distortion; The Netflix prize;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory Proceedings (ISIT), 2010 IEEE International Symposium on
Conference_Location
Austin, TX
Print_ISBN
978-1-4244-7890-3
Electronic_ISBN
978-1-4244-7891-0
Type
conf
DOI
10.1109/ISIT.2010.5513545
Filename
5513545
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