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Ramanujan subspace pursuit for signal periodic decomposition [article]

Shi-Wen Deng, Ji-Qing Han
2015 arXiv   pre-print
To address such problems, we introduce the Ramanujan subspace pursuit (RSP) based on the Ramanujan subspace.  ...  The period estimation and periodic decomposition of a signal are the long-standing problems in the field of signal processing and biomolecular sequence analysis.  ...  CONCLUSION In this paper, we presented a novel algorithm named Ramanujan subspace pursuit (RSP) for period estimation and periodic decomposition of a signal based on the Ramanujan subspace.  ... 
arXiv:1512.08112v1 fatcat:jvd3vzhnaja33e5xpyjtj5tte4

Signal Periodic Decomposition With Conjugate Subspaces

Shi-wen Deng, Ji-qing Han
2016 IEEE Transactions on Signal Processing  
In this paper, we focus on hidden period identification and the periodic decomposition of signals.  ...  To achieve the decomposition of the proposed model, the conjugate subspace matching pursuit (CSMP) algorithm is proposed based on two different greedy strategies.  ...  CONJUGATE SUBSPACE MATCHING PURSUIT ALGORITHM In this section, we present a two-stage CSMP algorithm for the decomposition of the signal periodic model.  ... 
doi:10.1109/tsp.2016.2600509 fatcat:trrupn6ehzgchhfy2bs6elr4ge

When Ramanujan meets time-frequency analysis in complicated time series analysis [article]

Ziyu Chen, Hau-Tieng Wu
2020 arXiv   pre-print
The RPT is of its own interest for other applications, like analyzing short signal composed of components with integer periods, but that is not the focus of this paper.  ...  We first combine the Ramanujan sums and l_1 penalization to implement the PT. We call the algorithm Ramanujan PT (RPT).  ...  Acknowledgement The authors would like to thank Shahar Kovalsky and John Malik for the discussion of numerical implementations.  ... 
arXiv:2004.00076v1 fatcat:m7yrmxxujjgqzoaiwgoaxz4iwu

Table of Contents

2020 IEEE Transactions on Signal Processing  
Segarra 5016 Signal-Dependent Performance Analysis of Orthogonal Matching Pursuit for Exact Sparse Recovery . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  ...  Soltanalian 5292 Orthogonal Periodic Sequences for the Identification of Functional Link Polynomial Filters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  ... 
doi:10.1109/tsp.2020.3042287 fatcat:nh7viihaozhd7li3txtadnx5ui

Implementation of Fog computing for reliable E-health applications

Razvan Craciunescu, Albena Mihovska, Mihail Mihaylov, Sofoklis Kyriazakos, Ramjee Prasad, Simona Halunga
2015 2015 49th Asilomar Conference on Signals, Systems and Computers  
Maintaining uplink synchronization for each individual device as conventional 4G does, known as the Timing Advance adjustment, will lead to significant signaling overhead, especially for small traffic  ...  In this work we explore some of the potential fiber-optic data transmission applications of the nonlinear Fourier transform (NFT), a signal analysis technique introduced by mathematicians and physicists  ...  We reformulate the decomposition problem as a columns-rows subspace learning problem.  ... 
doi:10.1109/acssc.2015.7421170 dblp:conf/acssc/CraciunescuMMKP15 fatcat:qm6mki5z6bcvrfimkmqjyrxaxm

Ping-pong beam training for reciprocal channels with delay spread

Elisabeth de Carvalho, Jorgen Bach Andersen
2015 2015 49th Asilomar Conference on Signals, Systems and Computers  
Existing algorithms for estimating these parameters are subject to significant bias unless they are run over very long periods of time.  ...  We propose a sparsity based detector which, by exploiting a sparse representation of the clutter in the Doppler domain, adaptively estimates from the test signal the clutter subspace.  ...  is performed by using different methods for periodic signal detection in noise.  ... 
doi:10.1109/acssc.2015.7421451 dblp:conf/acssc/CarvalhoA15 fatcat:mqokuvnh3zg45licnfbgxyvxfu

Massive MIMO functionality splits based on hybrid analog-digital precoding in a C-RAN architecture

Dong Min Kim, Jihong Park, Elisabeth De Carvalho, Carles Navarro Manchon
2017 2017 51st Asilomar Conference on Signals, Systems, and Computers  
I conclude with directions for future research.  ...  Millimeter wave has become an incubator for the rebirth of MIMO communication.  ...  Processing Algorithms Chair: Piya Pal, University of California, San Diego WA5b-1 MUSIC and Ramanujan: MUSIC-like 10:15 AM Algorithms for Integer Periods Using Nested-Periodic-Subspaces Srikanth V.  ... 
doi:10.1109/acssc.2017.8335612 dblp:conf/acssc/KimPCM17 fatcat:jujepkjavrftfdg2w7ooy3lucy

2020 Index IEEE Signal Processing Letters Vol. 27

2020 IEEE Signal Processing Letters  
Zhang, Q., +, LSP 2020 945-949 Period Determination in Cyclo-Stationary Signals by Autocorrelation and Ramanujan Subspaces.  ...  ., +, LSP 2020 291-295 Maximum likelihood detection A Multifamily GLRT for CFAR Detection of Signals in a Union of Subspaces.  ... 
doi:10.1109/lsp.2021.3055468 fatcat:wfdtkv6fmngihjdqultujzv4by

SHRIMP: Sparser Random Feature Models via Iterative Magnitude Pruning [article]

Yuege Xie, Bobby Shi, Hayden Schaeffer, Rachel Ward
2021 arXiv   pre-print
We explain the observed benefit of SHRIMP through a refined analysis on the generalization error for thresholded Basis Pursuit and resulting bounds on eigenvalues.  ...  Our method can be viewed as a combined process to construct and find sparse lottery tickets for two-layer dense networks.  ...  Theorem 1 (Generalization Bounds for Thresholded Basis Pursuit).  ... 
arXiv:2112.04002v1 fatcat:b6rnjf5mnneh3lrkwxylegjkb4

Fourier's Method of Linear Programming and Its Dual

H. P. Williams
1986 The American mathematical monthly  
[See also 49N75] 91A25 Dynamic games 91A26 Rationality, learning 91A28 Signaling, communication 91A30 Utility theory for games [See also 91B16] 91A35 Decision theory for games [See also 62Cxx  ...  CR) structures 32G08 Deformations of fiber bundles 32G10 Deformations of submanifolds and subspaces 32G13 Analytic moduli problems {For algebraic moduli problems, see 14D20, 14D22, 14H10, 14J10}  ... 
doi:10.2307/2322281 fatcat:yvhgyh2epbcwdoqdhuaopkcrue

Nonstandard Finite Difference Schemes

Ronald E. Mickens
2018 Notices of the American Mathematical Society  
The SASTRA Ramanujan Prize was established in 2005 and is awarded annually for outstanding contributions by young mathematicians to areas influenced by the genius Srinivasa Ramanujan.  ...  Compressed sensing is a technique for efficiently reconstructing or acquiring signals that make up sounds and images.  ...  Please refer to the page numbers cited on this page for more detailed information on each event.  ... 
doi:10.1090/noti1617 fatcat:nzhfdj7fsncndnhfiaegkizvue

An Invitation to Tensor-Triangular Geometry

Paul Balmer
2017 Notices of the American Mathematical Society  
Embark on a playful mathematical tour, aided by Lisl Gaal's illustrations of familiar scenes and whimsical triggers for the imagination.  ...  Acknowledgments The authors wish to thank Bernd Sturmfels and Joel Kileel for stimulating discussions.  ...  Ruth Charney, Brandeis University, Searching for Hyperbolicity. C y n t h i a D w o r k , H a r v a r d U n i v e r s i t y , Privavy in the Land of Plenty (AMS Josiah Willard Gibbs Lecture).  ... 
doi:10.1090/noti1594 fatcat:ciebsoei5faltj5zoyfg3ewlfi

New Paradigms and Optimality Guarantees in Statistical Learning and Estimation

Yu-Xiang Wang
Machine learning (ML) has become one of the most powerful classes of tools for artificial intelligence, personalized web services and data science problems across fields.  ...  Data privacy, for instance, was much less of a problem before the availability of personal information online that could be used to identify users in anonymized data sets.  ...  For the test itself, we consider our kth order KS test, in  ... 
doi:10.1184/r1/6720836.v1 fatcat:bdtsjzawkbdjxntc5pmm5irvna

European Mathematical Society Introduction to Algebra (Second Edition) Stochastic Integration Theory The Factorization Method for Inverse Problems Mathematics Emerging A Sourcebook 1540-1900

Peter Cameron, Peter Medvegyev, Andreas Kirsch, Natalia Grinberg, Jacqueline Stedall
2007 | 628 pp | Hardback | 978-0-19-921525-6 | £45.00 LECTURE SERIES IN MATHEMATICS AND ITS APPLICATIONS NO. 36 December 2007 | 216 pp | Hardback |   unpublished
It is an ideal introductory text for all Year 1 and 2 undergraduate students in mathematics.  ...  This graduate level text covers the theory of stochastic integration, an important area of Mathematics with a wide range of applications, including financial mathematics and signal processing.  ...  the Ramanujan prize for an outstanding 3rd world mathematician.  ...