메뉴 건너뛰기




Volumn 49, Issue , 2011, Pages 65-92

Entropic regularization of the ℓ0 function

Author keywords

Convex optimization; Entropy; Fenchel duality; Regularization; Signal processing; Sparsity

Indexed keywords


EID: 84976467096     PISSN: 19316828     EISSN: 19316836     Source Type: Book Series    
DOI: 10.1007/978-1-4419-9569-8_5     Document Type: Chapter
Times cited : (14)

References (15)
  • 1
    • 78149301735 scopus 로고    scopus 로고
    • Convex Functions: Constructions, Characterizations and Counterexamples
    • Cambridge University Press, New York
    • Borwein, J., Vanderwerff, J.: Convex Functions: Constructions, Characterizations and Counterexamples, Encyclopedias in Mathematics, vol. 109. Cambridge University Press, New York (2010)
    • (2010) Encyclopedias in Mathematics , vol.109
    • Borwein, J.1    Vanderwerff, J.2
  • 4
    • 59749104367 scopus 로고    scopus 로고
    • From sparse solutions of systems of equations to sparse modeling of signals and images
    • Bruckstein, A.M., Donoho, D.L., Elad, M.: From sparse solutions of systems of equations to sparse modeling of signals and images. SIAM Rev. 51, 34–81 (2009)
    • (2009) SIAM Rev , vol.51 , pp. 34-81
    • Bruckstein, A.M.1    Donoho, D.L.2    Elad, M.3
  • 5
    • 71049116435 scopus 로고    scopus 로고
    • Exact matrix completion via comvex optimization. Found of
    • Candès, E., Recht, B.: Exact matrix completion via comvex optimization. Found. of Comput. Math. 9, 717–772 (2009)
    • (2009) Comput. Math , vol.9 , pp. 717-772
    • Candès, E.1    Recht, B.2
  • 6
    • 33947416035 scopus 로고    scopus 로고
    • Near-optimal signal recovery from random projections: Universal encoding strategies
    • Candès, E., Tao, T.: Near-optimal signal recovery from random projections: Universal encoding strategies? IEEE Trans. Inform. Theory 52, 5406–5425 (2006)
    • (2006) IEEE Trans. Inform. Theory , vol.52 , pp. 5406-5425
    • Candès, E.1    Tao, T.2
  • 7
    • 0032131292 scopus 로고    scopus 로고
    • Atomic decomposition by basis pursuit. SIAM
    • Chen, S.S., Donoho, D.L., Saunders, M.A.: Atomic decomposition by basis pursuit. SIAM J. Sci. Comput. 20, 33–61 (1998)
    • (1998) J. Sci. Comput , vol.20 , pp. 33-61
    • Chen, S.S.1    Donoho, D.L.2    Saunders, M.A.3
  • 8
    • 0037418225 scopus 로고    scopus 로고
    • Optimally sparse representation in general (Non-orthogonal) dictionaries via l1 minimization
    • Donoho, D.L., Elad, M.: Optimally sparse representation in general (non-orthogonal) dictionaries via l1 minimization,. Proc. Natl. Acad. Sci. 100, 2197–2202 (2003)
    • (2003) Proc. Natl. Acad. Sci , vol.100 , pp. 2197-2202
    • Donoho, D.L.1    Elad, M.2
  • 9
    • 0347968052 scopus 로고    scopus 로고
    • Sparse decompositions in unions of bases. IEEETrans. Inform
    • Gribonval, R., Nielsen, M.: Sparse decompositions in unions of bases. IEEETrans. Inform. Theory 49, 3320–3325 (2003)
    • (2003) Theory , vol.49 , pp. 3320-3325
    • Gribonval, R.1    Nielsen, M.2
  • 10
    • 13844266776 scopus 로고    scopus 로고
    • Relaxed averaged alternating reflections for diffraction imaging
    • Luke, D.R.: Relaxed averaged alternating reflections for diffraction imaging. Inverse Problems 21, 37–50 (2005)
    • (2005) Inverse Problems , vol.21 , pp. 37-50
    • Luke, D.R.1
  • 11
    • 50049097331 scopus 로고    scopus 로고
    • Finding best approximation pairs relative to a convex and a prox-regular set in Hilbert space
    • Luke, D.R.: Finding best approximation pairs relative to a convex and a prox-regular set in Hilbert space. SIAM J. Optim. 19, 714–739 (2008)
    • (2008) SIAM J. Optim , vol.19 , pp. 714-739
    • Luke, D.R.1
  • 12
    • 0029291966 scopus 로고
    • Sparse approximate solutions to linear systems
    • Natarajan, B.K.: Sparse approximate solutions to linear systems. SIAM J. Comput. 24, 227–234 (1995)
    • (1995) SIAM J. Comput , vol.24 , pp. 227-234
    • Natarajan, B.K.1
  • 13
    • 78549288866 scopus 로고    scopus 로고
    • Guaranteed minimum rank solutions of matrix equations via nuclear norm minimization
    • Recht, B., Fazel, M., Parrilo, P.: Guaranteed minimum rank solutions of matrix equations via nuclear norm minimization. SIAM Rev. 52, 471–501 (2010)
    • (2010) SIAM Rev , vol.52 , pp. 471-501
    • Recht, B.1    Fazel, M.2    Parrilo, P.3
  • 15
    • 0008988926 scopus 로고
    • Linear inversion of band-limited reflection seismograms. SIAM
    • Santosa, F., Symes, W.W.: Linear inversion of band-limited reflection seismograms. SIAM J. Sci. Statist Comput. 7, 1307–1330 (1986)
    • (1986) J. Sci. Statist Comput , vol.7 , pp. 1307-1330
    • Santosa, F.1    Symes, W.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.