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A Genetic Approach to Fusion of Algorithms for Compressive Sensing

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Advances in Neural Networks - ISNN 2017 (ISNN 2017)

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Abstract

Inspired by the data fusion principle, we proposed a genetic approach to fusion of algorithms for CS to improve reconstruction performance. Firstly, several compressive sensing reconstruction algorithms (CSRAs) are executed in parallel to provide their estimates of the underlying sparse signal. Next, genetic algorithm is used to fuse these estimates for achieving a new estimate that is better than the best of these estimates. The proposed approach provides flexible design of fitness function and mutation strategy of genetic algorithm, and various participating CSRAs can be used to recover the sparse signal. Experiments were conducted on both synthetic and real world signals. Results indicate that the proposed approach has three advantages: (1) it performs well even when the dimension of measurements is very low, (2) reconstruction performance is better than any participating CSRAs, and (3) it is comparable or even superior to other fusion algorithm like FACS.

H. You—work was supported by National Natural Science Foundation of China (grant Nos. 61371147, and 11433002), and Shanghai Academy of Spaceflight Technology (grant No. SAST2015039).

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References

  1. Ambat, S.K., Chatterjee, S., Hari, K.V.S.: Fusion of algorithms for compressed sensing. IEEE Trans. Signal Process. 61(61), 3699–3704 (2013)

    Article  MathSciNet  Google Scholar 

  2. Ambat, S., Chatterjee, S., Hari, K.S.: Fusion of algorithms for compressed sensing. In: IEEE International Conference on Acoustics, Speech and Signal Processing, pp. 5860–5864 (2013)

    Google Scholar 

  3. Ambat, S.K., Chatterjee, S., Hari, K.V.S.: Progressive fusion of reconstruction algorithms for low latency applications in compressed sensing. Signal Process. 97(7), 146–151 (2014)

    Article  Google Scholar 

  4. Baraniuk, R.: Compressive sensing. In: Conference on CISS 2008 Information Sciences and Systems, pp. 118–120 (2008)

    Google Scholar 

  5. Baraniuk, R.G., Cevher, V., Duarte, M.F., Hegde, C.: Model-based compressive sensing. IEEE Trans. Inf. Theory 56(4), 1982–2001 (2010)

    Article  MathSciNet  Google Scholar 

  6. Candès, E.J., Wakin, M.B.: An introduction to compressive sampling. IEEE Signal Process. Mag. 25(2), 21–30 (2008)

    Article  Google Scholar 

  7. Dai, W., Milenkovic, O.: Subspace pursuit for compressive sensing signal reconstruction. IEEE Trans. Inf. Theory 55(5), 2230–2249 (2008)

    Article  MathSciNet  Google Scholar 

  8. Donoho, D.L.: Compressed sensing. IEEE Trans. Inf. Theory 52(4), 1289–1306 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  9. Elad, M., Yavneh, I.: A plurality of sparse representations is better than the sparsest one alone. IEEE Trans. Inf. Theory 55(10), 4701–4714 (2009)

    Article  MathSciNet  Google Scholar 

  10. Haghighat, M., Abdel-Mottaleb, M., Alhalabi, W.: Discriminant correlation analysis: Real-time feature level fusion for multimodal biometric recognition. IEEE Trans. Inf. Forensics Secur. 11(9), 1984–1996 (2016)

    Article  Google Scholar 

  11. Ji, S., Xue, Y., Carin, L.: Bayesian compressive sensing. IEEE Trans. Signal Process. 56(6), 2346–2356 (2008)

    Article  MathSciNet  Google Scholar 

  12. Moody, G.B., Mark, R.G.: The impact of the MIT-BIH arrhythmia database. IEEE Eng. Med. Biol. Mag. 20(3), 45–50 (2001)

    Article  Google Scholar 

  13. Needell, D., Tropp, J.A.: CoSaMP: iterative signal recovery from incomplete and inaccurate samples. Appl. Comput. Harmonic Anal. 26(3), 301–321 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  14. Schmitt, L.M.: Asymptotic convergence of scaled genetic algorithms to global optima. Genet. Algorithms Evol. Comput. 11, 157–200 (2006)

    Article  MathSciNet  Google Scholar 

  15. Starck, J.L., Candes, E.J.: Very high quality image restoration by combining wavelets and curvelets. In: Proceedings of SPIE - The International Society for Optical Engineering, pp. 9–19 (2001)

    Google Scholar 

  16. Tropp, J.A., Gilbert, A.C.: Signal recovery from random measurements via orthogonal matching pursuit. IEEE Trans. Inf. Theory 53(12), 4655–4666 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  17. Wei, L., Vaswani, N.: Regularized modified bpdn for noisy sparse reconstruction with partial erroneous support and signal value knowledge. IEEE Trans. Signal Process. 60(1), 182–196 (2010)

    MathSciNet  Google Scholar 

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Correspondence to Hanxu You .

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You, H., Zhu, J. (2017). A Genetic Approach to Fusion of Algorithms for Compressive Sensing. In: Cong, F., Leung, A., Wei, Q. (eds) Advances in Neural Networks - ISNN 2017. ISNN 2017. Lecture Notes in Computer Science(), vol 10262. Springer, Cham. https://doi.org/10.1007/978-3-319-59081-3_44

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  • DOI: https://doi.org/10.1007/978-3-319-59081-3_44

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  • Online ISBN: 978-3-319-59081-3

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