| Presentation | 2013-03-08 An Analysis on Non-Adaptive Group Testing based on Sparse Pooling Graphs Tadashi WADAYAMA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, an information theoretic analysis on non-adaptive group testing schemes based on sparse pooling graphs is presented. The binary status of objects to be tested are modeled by i.i.d. Bernoulli random variables with probability p. An (l, n)-regular pooling graph is a bipartite graph with left node degree l and right node degree r, where n is the number of left nodes. Two scenarios are considered; one is the noiseless setting and another is the noisy setting. The main contributions of this paper are direct part theorems which give conditions for existence of an estimator achieving arbitrary small estimation error probability. The direct part theorems are proved by averaging an upper bound on estimation error probability of the typical set estimator over an (l,r,n)-regular pooling graph ensemble. The numerical results obtained here indicate sharp threshold behaviors in the asymptotic regime. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | group testing / sparse graph / threshold / typical set estimator |
| Paper # | IT2012-103,ISEC2012-121,WBS2012-89 |
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| Conference Information | |
| Committee | IT |
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| Conference Date | 2013/2/28(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Information Theory (IT) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | An Analysis on Non-Adaptive Group Testing based on Sparse Pooling Graphs |
| Sub Title (in English) | |
| Keyword(1) | group testing |
| Keyword(2) | sparse graph |
| Keyword(3) | threshold |
| Keyword(4) | typical set estimator |
| 1st Author's Name | Tadashi WADAYAMA |
| 1st Author's Affiliation | Nagoya Institute of Technology() |
| Date | 2013-03-08 |
| Paper # | IT2012-103,ISEC2012-121,WBS2012-89 |
| Volume (vol) | vol.112 |
| Number (no) | 460 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |