Journal article
Vanishingly Sparse Matrices and Expander Graphs, With Application to Compressed Sensing
- Abstract:
-
We revisit the probabilistic construction of sparse random matrices where each column has a fixed number of nonzeros whose row indices are drawn uniformly at random with replacement. These matrices have a one-to-one correspondence with the adjacency matrices of fixed left degree expander graphs. We present formulas for the expected cardinality of the set of neighbors for these graphs, and present tail bounds on the probability that this cardinality will be less than the expected value. Deduci...
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- Publication status:
- Published
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- Publisher copy:
- 10.1109/TIT.2013.2274267
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Authors
Bibliographic Details
- Journal:
- IEEE TRANSACTIONS ON INFORMATION THEORY
- Volume:
- 59
- Issue:
- 11
- Pages:
- 7491-7508
- Publication date:
- 2013-11-01
- DOI:
- EISSN:
-
1557-9654
- ISSN:
-
0018-9448
- Source identifiers:
-
357784
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:357784
- UUID:
-
uuid:62cb604f-3d95-4244-ab17-30ec0c8904a7
- Local pid:
- pubs:357784
- Deposit date:
- 2013-12-13
Terms of use
- Copyright date:
- 2013
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