메뉴 건너뛰기




Volumn 18, Issue 6, 2014, Pages 827-845

An evolutionary multiobjective approach to sparse reconstruction

Author keywords

Compressed Sensing; Evolutionary Algorithm; Knee Region; Multi Objective Optimization; Pareto Front; Sparse Reconstruction; Zero Norm

Indexed keywords

COMPRESSED SENSING; COST FUNCTIONS; EVOLUTIONARY ALGORITHMS; LINEAR SYSTEMS; MULTIOBJECTIVE OPTIMIZATION; NUMERICAL METHODS; OPTIMAL SYSTEMS;

EID: 84902353224     PISSN: 1089778X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TEVC.2013.2287153     Document Type: Article
Times cited : (118)

References (46)
  • 1
    • 33645712892 scopus 로고    scopus 로고
    • Compressed sensing
    • Apr.
    • D. L. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory, vol. 52, no. 4, pp. 1289-1306, Apr. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.4 , pp. 1289-1306
    • Donoho, D.L.1
  • 2
    • 69049120308 scopus 로고    scopus 로고
    • Near-ideal model selection by l1 minimization
    • E. J. Candès and Y. Plan, "Near-ideal model selection by l1 minimization," Ann. Stat., vol. 37, no. 5A, pp. 2145-2177, 2009.
    • (2009) Ann. Stat. , vol.37 , Issue.5 A , pp. 2145-2177
    • Candès, E.J.1    Plan, Y.2
  • 3
    • 42649140570 scopus 로고    scopus 로고
    • The restricted isometry property and its implications for compressed sensing
    • E. J. Candès, "The restricted isometry property and its implications for compressed sensing," Comptes Rendus Math., vol. 346, no. 9, pp. 589-592, 2008.
    • (2008) Comptes Rendus Math. , vol.346 , Issue.9 , pp. 589-592
    • Candès, E.J.1
  • 4
    • 79959586203 scopus 로고    scopus 로고
    • Compressive sensing SAR image reconstruction based on Bayesian framework and evolutionary computation
    • Jul.
    • J. Wu, F. Liu, L. C. Jiao, and X. Wang, "Compressive sensing SAR image reconstruction based on Bayesian framework and evolutionary computation," IEEE Trans. Image Process., vol. 20, no. 7, pp. 1904-1911, Jul. 2011.
    • (2011) IEEE Trans. Image Process. , vol.20 , Issue.7 , pp. 1904-1911
    • Wu, J.1    Liu, F.2    Jiao, L.C.3    Wang, X.4
  • 6
    • 78651090983 scopus 로고    scopus 로고
    • Fast l1-minimization algorithms and an application in robust face recognition: A review
    • Sep.
    • A. Y. Yang, S. S. Sastry, A. Ganesh, and Y. Ma, "Fast l1-minimization algorithms and an application in robust face recognition: A review," in Proc. 17th IEEE Int. Conf. Image Process., Sep. 2010, pp. 1849-1852.
    • (2010) Proc. 17th IEEE Int. Conf. Image Process. , pp. 1849-1852
    • Yang, A.Y.1    Sastry, S.S.2    Ganesh, A.3    Ma, Y.4
  • 7
    • 39449126969 scopus 로고    scopus 로고
    • Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems
    • Dec.
    • M. A. T. Figueiredo, R. D. Nowak, and S. J. Wright, "Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems," IEEE J. Sel. Topics Signal Process., vol. 1, no. 4, pp. 586-597, Dec. 2007.
    • (2007) IEEE J. Sel. Topics Signal Process. , vol.1 , Issue.4 , pp. 586-597
    • Figueiredo, M.A.T.1    Nowak, R.D.2    Wright, S.J.3
  • 8
    • 69949164527 scopus 로고    scopus 로고
    • Iterative hard thresholding for compressed sensing
    • T. Blumensath and M. E. Davies, "Iterative hard thresholding for compressed sensing," Appl. Comput. Harmonic Anal., vol. 27, no. 3, pp. 265-274, 2009.
    • (2009) Appl. Comput. Harmonic Anal. , vol.27 , Issue.3 , pp. 265-274
    • Blumensath, T.1    Davies, M.E.2
  • 9
    • 0003841249 scopus 로고
    • Ph.D. dissertation Dept. Math., Courant Inst. of Math. Sci., New York Univ., New York, NY, USA
    • G. Davis, "Adaptive nonlinear approximations," Ph.D. dissertation, Dept. Math., Courant Inst. of Math. Sci., New York Univ., New York, NY, USA, 1994.
    • (1994) Adaptive Nonlinear Approximations
    • Davis, G.1
  • 11
    • 0009270747 scopus 로고    scopus 로고
    • The best m-term approximation and greedy algorithms
    • V. N. Temlyakov, "The best m-term approximation and greedy algorithms," Adv. Comput. Math., vol. 8, no. 3, pp. 249-265, 1998.
    • (1998) Adv. Comput. Math. , vol.8 , Issue.3 , pp. 249-265
    • Temlyakov, V.N.1
  • 12
    • 77949703326 scopus 로고    scopus 로고
    • Normalized iterative hard thresholding: Guaranteed stability and performance
    • Apr.
    • T. Blumensath and M. Davies, "Normalized iterative hard thresholding: Guaranteed stability and performance," IEEE J. Sel. Topics Signal Process., vol. 4, no. 2, pp. 298-309, Apr. 2010.
    • (2010) IEEE J. Sel. Topics Signal Process. , vol.4 , Issue.2 , pp. 298-309
    • Blumensath, T.1    Davies, M.2
  • 13
    • 84871085657 scopus 로고    scopus 로고
    • L1/2 regularization: A thresholding representation theory and a fast solver
    • Jul.
    • Z. Xu, X. Chang, F. Xu, and H. Zhang, "L1/2 regularization: A thresholding representation theory and a fast solver," IEEE Trans. Neural Netw. Learn. Syst., vol. 23, no. 7, pp. 1013-1027, Jul. 2012.
    • (2012) IEEE Trans. Neural Netw. Learn. Syst. , vol.23 , Issue.7 , pp. 1013-1027
    • Xu, Z.1    Chang, X.2    Xu, F.3    Zhang, H.4
  • 14
    • 44849087307 scopus 로고    scopus 로고
    • Bayesian compressive sensing
    • Jun.
    • S. Ji, Y. Xue, and L. Carin, "Bayesian compressive sensing," IEEE Trans. Signal Process., vol. 56, no. 6, pp. 2346-2356, Jun. 2008.
    • (2008) IEEE Trans. Signal Process. , vol.56 , Issue.6 , pp. 2346-2356
    • Ji, S.1    Xue, Y.2    Carin, L.3
  • 15
    • 55349134896 scopus 로고    scopus 로고
    • Fast solution of l1 norm minimization problems when the solution may be sparse
    • Nov.
    • D. L. Donoho and Y. Tsaig, "Fast solution of l1 norm minimization problems when the solution may be sparse," IEEE Trans. Inf. Theory, vol. 54, no. 11, pp. 4789-4812, Nov. 2008.
    • (2008) IEEE Trans. Inf. Theory , vol.54 , Issue.11 , pp. 4789-4812
    • Donoho, D.L.1    Tsaig, Y.2
  • 18
    • 84876908112 scopus 로고    scopus 로고
    • A novel selection evolutionary strategy for constrained optimization
    • L. Jiao, L. Li, R. Shang, F. Liu, and R. Stolkin, "A novel selection evolutionary strategy for constrained optimization," Inf. Sci., vol. 239, no. 1, pp. 122-141, 2013.
    • (2013) Inf. Sci. , vol.239 , Issue.1 , pp. 122-141
    • Jiao, L.1    Li, L.2    Shang, R.3    Liu, F.4    Stolkin, R.5
  • 19
    • 34147125054 scopus 로고    scopus 로고
    • Single/multi-objective inverse robust evolutionary design methodology in the presence of uncertainty
    • S. Yang, Y. Ong, and Y. Jin, Eds. Berlin, Germany: Springer
    • D. Lim, Y. S. Ong, M. H. Lim, and Y. Jin, "Single/multi-objective inverse robust evolutionary design methodology in the presence of uncertainty," in Evolutionary Computation in Dynamic and Uncertain Environments, vol. 51, S. Yang, Y. Ong, and Y. Jin, Eds. Berlin, Germany: Springer, 2007, pp. 437-456.
    • (2007) Evolutionary Computation in Dynamic and Uncertain Environments , vol.51 , pp. 437-456
    • Lim, D.1    Ong, Y.S.2    Lim, M.H.3    Jin, Y.4
  • 20
    • 9644257194 scopus 로고    scopus 로고
    • Multi-objective hierarchical genetic algorithm for interpretable fuzzy rule-based knowledge extraction
    • H. Wang, S. Kwong, Y. Jin, W. Wei, and K. Man, "Multi-objective hierarchical genetic algorithm for interpretable fuzzy rule-based knowledge extraction," Fuzzy Sets Syst., vol. 149, no. 1, pp. 149-186, 2005.
    • (2005) Fuzzy Sets Syst. , vol.149 , Issue.1 , pp. 149-186
    • Wang, H.1    Kwong, S.2    Jin, Y.3    Wei, W.4    Man, K.5
  • 21
    • 34548108555 scopus 로고    scopus 로고
    • MOEA/D: A multiobjective evolutionary algorithm based on decomposition
    • Dec.
    • Q. Zhang and H. Li, "MOEA/D: A multiobjective evolutionary algorithm based on decomposition," IEEE Trans. Evol. Comput., vol. 11, no. 6, pp. 712-731, Dec. 2007.
    • (2007) IEEE Trans. Evol. Comput. , vol.11 , Issue.6 , pp. 712-731
    • Zhang, Q.1    Li, H.2
  • 22
    • 33947426462 scopus 로고    scopus 로고
    • A multiobjective optimization-based evolutionary algorithm for constrained optimization
    • Dec.
    • Z. Cai and Y. Wang, "A multiobjective optimization-based evolutionary algorithm for constrained optimization," IEEE Trans. Evol. Comput., vol. 10, no. 6, pp. 658-675, Dec. 2006.
    • (2006) IEEE Trans. Evol. Comput. , vol.10 , Issue.6 , pp. 658-675
    • Cai, Z.1    Wang, Y.2
  • 23
    • 0036530772 scopus 로고    scopus 로고
    • A fast and elitist multiobjective genetic algorithm: NSGA-II
    • Apr.
    • K. Deb, A. Pratap, S. Agarwal, and T. Meyarivan, "A fast and elitist multiobjective genetic algorithm: NSGA-II," IEEE Trans. Evol. Comput., vol. 6, no. 2, pp. 182-197, Apr. 2002.
    • (2002) IEEE Trans. Evol. Comput. , vol.6 , Issue.2 , pp. 182-197
    • Deb, K.1    Pratap, A.2    Agarwal, S.3    Meyarivan, T.4
  • 24
    • 43449135303 scopus 로고    scopus 로고
    • Pareto-based multiobjective machine learning: An overview and case studies
    • May
    • Y. Jin and B. Sendhoff, "Pareto-based multiobjective machine learning: An overview and case studies," IEEE Trans. Syst., Man, Cybern.C, Appl. Rev., vol. 38, no. 3, pp. 397-415, May 2008.
    • (2008) IEEE Trans. Syst., Man, Cybern.C, Appl. Rev. , vol.38 , Issue.3 , pp. 397-415
    • Jin, Y.1    Sendhoff, B.2
  • 26
    • 32544431928 scopus 로고    scopus 로고
    • Evolving hybrid ensembles of learning machines for better generalisation
    • A. Chandra and X. Yao, "Evolving hybrid ensembles of learning machines for better generalisation," Neurocomputing, vol. 69, nos. 7-9, pp. 686-700, 2006.
    • (2006) Neurocomputing , vol.69 , Issue.7-9 , pp. 686-700
    • Chandra, A.1    Yao, X.2
  • 27
    • 78149249078 scopus 로고    scopus 로고
    • Multiobjective neural network ensembles based on regularized negative correlation learning
    • Dec.
    • H. Chen and X. Yao, "Multiobjective neural network ensembles based on regularized negative correlation learning," IEEE Trans. Knowl. Data Eng., vol. 22, no. 12, pp. 1738-1751, Dec. 2010.
    • (2010) IEEE Trans. Knowl. Data Eng. , vol.22 , Issue.12 , pp. 1738-1751
    • Chen, H.1    Yao, X.2
  • 28
    • 69249166079 scopus 로고    scopus 로고
    • Multiobjective evolutionary algorithm with controllable focus on the knees of the Pareto front
    • Aug.
    • L. Rachmawati and D. Srinivasan, "Multiobjective evolutionary algorithm with controllable focus on the knees of the Pareto front," IEEE Trans. Evol. Comput., vol. 13, no. 4, pp. 810-824, Aug. 2009.
    • (2009) IEEE Trans. Evol. Comput. , vol.13 , Issue.4 , pp. 810-824
    • Rachmawati, L.1    Srinivasan, D.2
  • 29
    • 35048874287 scopus 로고    scopus 로고
    • Finding knees in multiobjective optimization
    • LNCS 3242
    • J. Branke, K. Deb, H. Dierolf, and M. Osswald, "Finding knees in multiobjective optimization," in Proc. 8th Conf. PPSN, 2004, LNCS 3242, pp. 722-731.
    • (2004) Proc. 8th Conf. PPSN , pp. 722-731
    • Branke, J.1    Deb, K.2    Dierolf, H.3    Osswald, M.4
  • 30
    • 80051859362 scopus 로고    scopus 로고
    • Understanding knee points in bicriteria problems and their implications as preferred solution principles
    • K. Deb and S. Gupta, "Understanding knee points in bicriteria problems and their implications as preferred solution principles," Eng. Optimiz., vol. 43, no. 11, pp. 1175-1204, 2011.
    • (2011) Eng. Optimiz. , vol.43 , Issue.11 , pp. 1175-1204
    • Deb, K.1    Gupta, S.2
  • 31
    • 0033208104 scopus 로고    scopus 로고
    • On characterizing the 'knee' of the Pareto curve based on normal-boundary intersection
    • I. Das, "On characterizing the 'knee' of the Pareto curve based on normal-boundary intersection," Structural Multidisciplinary Optimiz., vol. 18, no. 2, pp. 107-115, 1999.
    • (1999) Structural Multidisciplinary Optimiz. , vol.18 , Issue.2 , pp. 107-115
    • Das, I.1
  • 32
    • 14844318807 scopus 로고    scopus 로고
    • Digital filter design using multiple Pareto fronts
    • T. Schnier, X. Yao, and P. Liu, "Digital filter design using multiple Pareto fronts," Soft Comput., vol. 8, no. 5, pp. 332-343, 2004.
    • (2004) Soft Comput. , vol.8 , Issue.5 , pp. 332-343
    • Schnier, T.1    Yao, X.2    Liu, P.3
  • 33
    • 79953183586 scopus 로고    scopus 로고
    • Software module clustering as a multi-objective search problem
    • Mar.-Apr.
    • K. Praditwong, M. Harman, and X. Yao, "Software module clustering as a multi-objective search problem," IEEE Trans. Softw. Eng., vol. 37, no. 2, pp. 264-282, Mar.-Apr. 2011.
    • (2011) IEEE Trans. Softw. Eng. , vol.37 , Issue.2 , pp. 264-282
    • Praditwong, K.1    Harman, M.2    Yao, X.3
  • 34
    • 34547327319 scopus 로고    scopus 로고
    • Improved pruning of non-dominated solutions based on crowding distance for bi-objective optimization problems
    • S. Kukkonen and K. Deb, "Improved pruning of non-dominated solutions based on crowding distance for bi-objective optimization problems," in Proc. WCCI, 2006, pp. 1179-1186.
    • (2006) Proc. WCCI , pp. 1179-1186
    • Kukkonen, S.1    Deb, K.2
  • 35
    • 78649251519 scopus 로고    scopus 로고
    • Apaptive ranks clone and k-nearest neighbour list based immune multi-objective optimization
    • D. Yang, L. Jiao, M. Gong, and J. Feng, "Apaptive ranks clone and k-nearest neighbour list based immune multi-objective optimization," Comput. Intell., vol. 26, no. 4, pp. 359-385, 2010.
    • (2010) Comput. Intell. , vol.26 , Issue.4 , pp. 359-385
    • Yang, D.1    Jiao, L.2    Gong, M.3    Feng, J.4
  • 36
    • 0030713683 scopus 로고    scopus 로고
    • A theoretical analysis of the non-uniform mutation operator for the modified genetic algorithm
    • Apr.
    • A. Neubauer, "A theoretical analysis of the non-uniform mutation operator for the modified genetic algorithm," in Proc. IEEE Int. Conf. Evol. Comput., Apr. 1997, pp. 93-96.
    • (1997) Proc. IEEE Int. Conf. Evol. Comput. , pp. 93-96
    • Neubauer, A.1
  • 37
    • 0000308566 scopus 로고
    • Real-coded genetic algorithms and interval-schemata
    • D. L. Whitley, Ed., San Mateo, CA
    • L. J. Eshelman, "Real-coded genetic algorithms and interval-schemata," in Proc. Foundations Genetic Algorithms II, D. L. Whitley, Ed., San Mateo, CA, pp. 187-202, 1993.
    • (1993) Proc. Foundations Genetic Algorithms II , pp. 187-202
    • Eshelman, L.J.1
  • 38
    • 67650178787 scopus 로고    scopus 로고
    • Sparse reconstruction by separable approximation
    • Jun.
    • S. J. Wright, R. D. Nowak, and M. A. T. Figueiredo, "Sparse reconstruction by separable approximation," IEEE Trans. Signal Process., vol. 57, no. 7, pp. 2479-2493, Jun. 2009.
    • (2009) IEEE Trans. Signal Process. , vol.57 , Issue.7 , pp. 2479-2493
    • Wright, S.J.1    Nowak, R.D.2    Figueiredo, M.A.T.3
  • 40
    • 77956343124 scopus 로고    scopus 로고
    • Multi-objective approaches to optimal testing resource allocation in modular software systems
    • Sep.
    • Z. Wang, K. Tang, and X. Yao, "Multi-objective approaches to optimal testing resource allocation in modular software systems," IEEE Trans. Reliab., vol. 59, no. 3, pp. 563-575, Sep. 2010.
    • (2010) IEEE Trans. Reliab. , vol.59 , Issue.3 , pp. 563-575
    • Wang, Z.1    Tang, K.2    Yao, X.3
  • 41
    • 0029322622 scopus 로고
    • An introduction to wavelets
    • A. Graps, "An introduction to wavelets," IEEE Comput. Sci. Eng., vol. 2, no. 2, pp. 50-61, 1995.
    • (1995) IEEE Comput. Sci. Eng. , vol.2 , Issue.2 , pp. 50-61
    • Graps, A.1
  • 42
    • 0035273106 scopus 로고    scopus 로고
    • Atomic decomposition by basis pursuit
    • S. S. Chen, D. L. Donoho, and M. A. Saunders, "Atomic decomposition by basis pursuit," SIAM Rev., vol. 43, no. 1, pp. 129-159, 2001.
    • (2001) SIAM Rev. , vol.43 , Issue.1 , pp. 129-159
    • Chen, S.S.1    Donoho, D.L.2    Saunders, M.A.3
  • 43
    • 85014561619 scopus 로고    scopus 로고
    • A fast iterative shrinkage-thresholding algorithm for linear inverse problems
    • A. Beck and M. Teboulle, "A fast iterative shrinkage-thresholding algorithm for linear inverse problems," SIAM J. Imag. Sci., vol. 2, no. 1, pp. 183-202, 2009.
    • (2009) SIAM J. Imag. Sci. , vol.2 , Issue.1 , pp. 183-202
    • Beck, A.1    Teboulle, M.2
  • 44
    • 79952307213 scopus 로고    scopus 로고
    • Alternating direction algorithms for l1-problems in compressive sensing
    • J. Yang and Y. Zhang, "Alternating direction algorithms for l1-problems in compressive sensing," SIAM J. Sci. Comput., vol. 33, no. 1, pp. 250-278, 2011.
    • (2011) SIAM J. Sci. Comput. , vol.33 , Issue.1 , pp. 250-278
    • Yang, J.1    Zhang, Y.2
  • 45
    • 84914107202 scopus 로고    scopus 로고
    • l-1
    • A. Y. Yang et al. (2009). l-1 Benchmark Package [Online]. Available: http://www.eecs.berkeley.edu/yang/software/l1benchmark/l1benchmark.zip
    • (2009) Benchmark Package
    • Yang, A.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.