메뉴 건너뛰기




Volumn 60, Issue 2, 2015, Pages 373-382

On matrix-valued monge-kantorovich optimal mass transport

Author keywords

Convex optimization; matrix valued density functions; optimal mass transport

Indexed keywords

CONVEX OPTIMIZATION; POWER SPECTRAL DENSITY; SPECTRAL DENSITY; TENSORS; TRANSPORTATION;

EID: 84921712284     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2014.2350171     Document Type: Article
Times cited : (45)

References (17)
  • 2
    • 0001393149 scopus 로고
    • On the transfer of masses
    • L. Kantorovich, "On the transfer of masses," Dokl. Akad. Nauk. SSSR, vol. 37, pp. 227-229, 1942.
    • (1942) Dokl. Akad. Nauk. SSSR , vol.37 , pp. 227-229
    • Kantorovich, L.1
  • 3
    • 84921734503 scopus 로고    scopus 로고
    • Providence, RI: American Mathematical Society
    • C. Villani, Topics in optimal transportation, vol. 58. Providence, RI: American Mathematical Society, 2003.
    • (2003) Topics in Optimal Transportation , vol.58
    • Villani, C.1
  • 6
    • 44849086688 scopus 로고    scopus 로고
    • Hellinger versus kullback- leibler multivariable spectrum approximation
    • Apr
    • A. Ferrante, M. Pavon, and F. Ramponi, "Hellinger versus Kullback- Leibler multivariable spectrum approximation," IEEE Trans. Autom.Control, vol. 53, no. 4, pp. 954-967, Apr. 2008.
    • (2008) IEEE Trans. Autom.Control , vol.53 , Issue.4 , pp. 954-967
    • Ferrante, A.1    Pavon, M.2    Ramponi, F.3
  • 7
    • 84862992932 scopus 로고    scopus 로고
    • Distances and riemannian metrics for multivariate spectral densities
    • Jul
    • X. Jiang, L. Ning, and T. T. Georgiou, "Distances and Riemannian metrics for multivariate spectral densities," IEEE Trans. Autom. Control, vol. 57, no. 7, pp. 1723-1735, Jul. 2012.
    • (2012) IEEE Trans. Autom. Control , vol.57 , Issue.7 , pp. 1723-1735
    • Jiang, X.1    Ning, L.2    Georgiou, T.T.3
  • 8
    • 84857225494 scopus 로고    scopus 로고
    • Geometric methods for spectral analysis
    • Mar
    • X. Jiang, Z. Luo, and T. Georgiou, "Geometric methods for spectral analysis," IEEE Trans. Signal Process., vol. 60, no. 3, pp. 1064-1074, Mar. 2012.
    • (2012) IEEE Trans. Signal Process , vol.60 , Issue.3 , pp. 1064-1074
    • Jiang, X.1    Luo, Z.2    Georgiou, T.3
  • 11
    • 0034407460 scopus 로고    scopus 로고
    • A computational fluid mechanics solution to the monge-kantorovich mass transfer problem
    • J. Benamou and Y. Brenier, "A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem," Numerische Mathematik, vol. 84, no. 3, pp. 375-393, 2000.
    • (2000) Numerische Mathematik , vol.84 , Issue.3 , pp. 375-393
    • Benamou, J.1    Brenier, Y.2
  • 12
    • 0032343437 scopus 로고    scopus 로고
    • The variational formulation of the fokker-planck equation
    • R. Jordan, D. Kinderlehrer, and F. Otto, "The variational formulation of the Fokker-Planck equation," SIAM J. Mathemat. Anal., vol. 29, no. 1, pp. 1-17, 1998.
    • (1998) SIAM J. Mathemat. Anal , vol.29 , Issue.1 , pp. 1-17
    • Jordan, R.1    Kinderlehrer, D.2    Otto, F.3
  • 14
    • 0035565859 scopus 로고    scopus 로고
    • A free probability analogue of the wasserstein metric on the trace-state space
    • P. Biane and D. Voiculescu, "A free probability analogue of the Wasserstein metric on the trace-state space," Geometric and Funct. Anal., vol. 11, no. 6, pp. 1125-1138, 2001.
    • (2001) Geometric and Funct. Anal , vol.11 , Issue.6 , pp. 1125-1138
    • Biane, P.1    Voiculescu, D.2
  • 15
    • 0000176173 scopus 로고    scopus 로고
    • Metrics on state spaces
    • M. Rieffel, "Metrics on state spaces," Doc. Math. J. DMV, vol. 4, pp. 559-600, 1999.
    • (1999) Doc. Math. J. DMV , vol.4 , pp. 559-600
    • Rieffel, M.1
  • 16
    • 84896062376 scopus 로고    scopus 로고
    • A view on optimal transport from noncommutative geometry
    • F. DAndrea and P. Martinetti, "A view on optimal transport from noncommutative geometry," SIGMA, vol. 6, no. 057, p. 24, 2010.
    • (2010) SIGMA , vol.6 , Issue.57 , pp. 24
    • Dandrea, F.1    Martinetti, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.