Search Results - sub-linear decoding complexity
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SAFFRON: A Fast, Efficient, and Robust Framework for Group Testing Based on Sparse-Graph Codes
ISSN: 1053-587X, 1941-0476Published: New York IEEE 01.09.2019Published in IEEE transactions on signal processing (01.09.2019)“… In this paper, we design group testing algorithms for approximate recovery with order-optimal sample complexity by leveraging design and analysis tools from modern sparse-graph coding theory…”
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Neighbor discovery for wireless networks via compressed sensing
ISSN: 0166-5316, 1872-745XPublished: Elsevier B.V 01.07.2013Published in Performance evaluation (01.07.2013)“…This paper studies the problem of neighbor discovery in wireless networks, namely, each node wishes to discover and identify the network interface addresses…”
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Sub-Linear Time Support Recovery for Compressed Sensing Using Sparse-Graph Codes
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.10.2019Published in IEEE transactions on information theory (01.10.2019)“… Our key contribution is a new compressed sensing framework through a new family of carefully designed sparse measurement matrices associated with minimal measurement costs and a low-complexity recovery algorithm…”
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Sub-linear Time Stochastic Threshold Group Testing via Sparse-Graph Codes
Published: IEEE 01.11.2018Published in 2018 IEEE Information Theory Workshop (ITW) (01.11.2018)“…). We leverage tools and techniques from sparse-graph codes and propose a fast decoding algorithm for stochastic threshold group testing…”
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Conference Proceeding -
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Sub-linear time compressed sensing using sparse-graph codes
ISSN: 2157-8095, 2157-8117Published: IEEE 01.06.2015Published in Proceedings / IEEE International Symposium on Information Theory (01.06.2015)“… ) is sub-linear in N for some 0 <; δ <; 1. A new family of sparse measurement matrices is introduced with a low-complexity recovery algorithm, which achieves a sub-linear measurement cost O(K log 1.3̇ N…”
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List-decoding using the XOR lemma
ISBN: 9780769520407, 0769520405ISSN: 0272-5428Published: IEEE 2003Published in 44th Annual IEEE Symposium on Foundations of Computer Science, 2003. Proceedings (2003)“…/) encoding time, and probabilistic 0/sup /spl tilde//(n) list-decoding time. (Note that the decoding time is sub-linear in the length of the encoding…”
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Recovering K-sparse N-length vectors in O(K log N) time: Compressed sensing using sparse-graph codes
ISSN: 2379-190XPublished: IEEE 01.03.2016Published in Proceedings of the ... IEEE International Conference on Acoustics, Speech and Signal Processing (1998) (01.03.2016)“…) measurements with a computational complexity of O(K log N). Both the measurement cost and algorithm runtime are order-optimal for support recovery when K = O (Nδ ) for some 0 <; δ <; 1…”
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Sub-linear time compressed sensing for support recovery using left and right regular sparse-graph codes
Published: IEEE 01.09.2016Published in 2016 IEEE Information Theory Workshop (ITW) (01.09.2016)“… (sub-linear time complexity when K is sub-linear in N). We show that by replacing the left-regular ensemble with left and right regular ensemble, we can reduce…”
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Conference Proceeding -
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A fast Hadamard transform for signals with sub-linear sparsity
Published: IEEE 01.10.2013Published in 2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton) (01.10.2013)“…A new iterative low complexity algorithm has been presented for computing the Walsh-Hadamard transform (WHT…”
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Conference Proceeding -
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A Fast Hadamard Transform for Signals with Sub-linear Sparsity in the Transform Domain
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 29.12.2013Published in arXiv.org (29.12.2013)“…A new iterative low complexity algorithm has been presented for computing the Walsh-Hadamard transform (WHT) of an \(N…”
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Sub-linear Time Support Recovery for Compressed Sensing using Sparse-Graph Codes
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 26.02.2018Published in arXiv.org (26.02.2018)“… sparse measurement matrices associated with minimal measurement costs and a low-complexity recovery algorithm…”
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Efficient Algorithms for Noisy Group Testing
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.04.2017Published in IEEE transactions on information theory (01.04.2017)“…Group-testing refers to the problem of identifying (with high probability) a (small) subset of D defectives from a (large) set of N items via a "small" number…”
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Journal Article -
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FFAST: An Algorithm for Computing an Exactly k -Sparse DFT in O( k\log k) Time
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.01.2018Published in IEEE transactions on information theory (01.01.2018)“… better? We show that asymptotically in k and n, when k is sub-linear in n (precisely, k = O(n δ ), where 0 ≤ δ <; 1), and the support of the non-zero DFT coefficients is uniformly random, the fast fourier aliasing-based sparse transform…”
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Applications of Coding Theory to Sub-Linear Time Sparse Recovery Problems
ISBN: 9798438740803Published: ProQuest Dissertations & Theses 01.01.2020“…) algorithm and the iterative hard decision decoding of product codes. We show that the FFAST algorithm is analogous to an iterative decoder for a carefully defined…”
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Dissertation -
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Group Testing using left-and-right-regular sparse-graph codes
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 25.01.2017Published in arXiv.org (25.01.2017)“… of \(\epsilon\)). More importantly the iterative decoding algorithm has a sub…”
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Fast sparse 2-D DFT computation using sparse-graph alias codes
ISSN: 2379-190XPublished: IEEE 01.03.2016Published in Proceedings of the ... IEEE International Conference on Acoustics, Speech and Signal Processing (1998) (01.03.2016)“…) noiseless spatial-domain measurements in O(k log k) computational time. Our results are attractive when the sparsity is sub-linear with respect to the signal dimension, that is, when k → ∞ and k/N → 0…”
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Conference Proceeding Journal Article -
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Neighbor Discovery for Wireless Networks via Compressed Sensing
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 22.05.2012Published in arXiv.org (22.05.2012)“…This paper studies the problem of neighbor discovery in wireless networks, namely, each node wishes to discover and identify the network interface addresses…”
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Asynchronous Massive Access and Neighbor Discovery Using OFDMA
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 19.11.2021Published in arXiv.org (19.11.2021)“… and message decoding with a codelength that is O…”
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Computing a k-sparse n-length Discrete Fourier Transform using at most 4k samples and O(k log k) complexity
ISSN: 2157-8095Published: IEEE 01.07.2013Published in Proceedings / IEEE International Symposium on Information Theory (01.07.2013)“… better? We show that asymptotically in k and n, when k is sub-linear in n (i.e., k ∝ n δ where 0 <; δ <; 1), and the support of the non-zero DFT coefficients is uniformly random, we can exploit this sparsity in two fundamental ways…”
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Conference Proceeding -
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GROTESQUE: Noisy Group Testing (Quick and Efficient)
Published: IEEE 01.10.2013Published in 2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton) (01.10.2013)“…Group-testing refers to the problem of identifying (with high probability) a (small) subset of D defectives from a (large) set of N items via a "small" number…”
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Conference Proceeding

