메뉴 건너뛰기




Volumn 5369 LNCS, Issue , 2008, Pages 414-423

Deterministic sparse column based matrix reconstruction via greedy approximation of SVD

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION PROBLEMS; APPROXIMATION RATIOS; EXISTENCE RESULTS; FROBENIUS NORMS; PERFORMANCE GUARANTEES; RUNNING TIME; SINGULAR VECTORS;

EID: 58549092634     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-92182-0_38     Document Type: Conference Paper
Times cited : (5)

References (23)
  • 1
    • 0002170151 scopus 로고
    • Rank revealing QR factorizations
    • Chan, T.F.: Rank revealing QR factorizations. Linear Algebra Appl. (88/89), 67-82 (1987)
    • (1987) Linear Algebra Appl , vol.88 , Issue.89 , pp. 67-82
    • Chan, T.F.1
  • 3
    • 0035273106 scopus 로고    scopus 로고
    • Atomic decomposition by basis pursuit
    • Chen, S.S., Donoho, D.L., Saunders, M.A.: Atomic decomposition by basis pursuit. SIAM Review 43(1), 129-159 (2001)
    • (2001) SIAM Review , vol.43 , Issue.1 , pp. 129-159
    • Chen, S.S.1    Donoho, D.L.2    Saunders, M.A.3
  • 5
    • 33244455701 scopus 로고    scopus 로고
    • Deshpande, A., Rademacher, L., Vempala, S., Wang, G.: Matrix approximation and projective clustering via sampling. In: SODA 2006, pp. 1117-1126. ACM Press, New York (2006)
    • Deshpande, A., Rademacher, L., Vempala, S., Wang, G.: Matrix approximation and projective clustering via volume sampling. In: SODA 2006, pp. 1117-1126. ACM Press, New York (2006)
  • 7
    • 33750065382 scopus 로고    scopus 로고
    • Adaptive sampling and fast low-rank matrix approximation
    • Díaz, J, Jansen, K, Rolim, J.D.P, Zwick, U, eds, APPROX 2006 and RANDOM 2006, Springer, Heidelberg
    • Deshpande, A., Vempala, S.: Adaptive sampling and fast low-rank matrix approximation. In: Díaz, J., Jansen, K., Rolim, J.D.P., Zwick, U. (eds.) APPROX 2006 and RANDOM 2006. LNCS, vol. 4110, pp. 292-303. Springer, Heidelberg (2006)
    • (2006) LNCS , vol.4110 , pp. 292-303
    • Deshpande, A.1    Vempala, S.2
  • 9
    • 33751075906 scopus 로고    scopus 로고
    • Fast monte carlo algorithms for matrices II: Computing a low-rank approximation to a matrix
    • Drineas, P., Kannan, R., Mahoney, M.W.: Fast monte carlo algorithms for matrices II: Computing a low-rank approximation to a matrix. SIAM Journal on Computing 36(1), 158-183 (2006)
    • (2006) SIAM Journal on Computing , vol.36 , Issue.1 , pp. 158-183
    • Drineas, P.1    Kannan, R.2    Mahoney, M.W.3
  • 10
    • 58549097727 scopus 로고    scopus 로고
    • Drineas, P., Mahoney, M.W., Muthukrishnan, S.: Subspace sampling and relativeerror matrix approximation: column-row-based methods. In: Azar, Y., Erlebach, T. (eds.) ESA 2006. LNCS, 4168, pp. 304-314. Springer, Heidelberg (2006)
    • Drineas, P., Mahoney, M.W., Muthukrishnan, S.: Subspace sampling and relativeerror matrix approximation: column-row-based methods. In: Azar, Y., Erlebach, T. (eds.) ESA 2006. LNCS, vol. 4168, pp. 304-314. Springer, Heidelberg (2006)
  • 14
    • 0003216822 scopus 로고    scopus 로고
    • Efficient algorithms for computing a strong rank-revealing QR factorization
    • Gu, M., Eisenstat, S.C.: Efficient algorithms for computing a strong rank-revealing QR factorization. SIAM Journal on Scientific Computing 17(4), 848-869 (1996)
    • (1996) SIAM Journal on Scientific Computing , vol.17 , Issue.4 , pp. 848-869
    • Gu, M.1    Eisenstat, S.C.2
  • 15
    • 84968501766 scopus 로고
    • Rank-revealing QR factorizations and the singular value decomposition
    • Hong, Y.P., Pan, C.T.: Rank-revealing QR factorizations and the singular value decomposition. Mathematics of Computation 58, 213-232 (1992)
    • (1992) Mathematics of Computation , vol.58 , pp. 213-232
    • Hong, Y.P.1    Pan, C.T.2
  • 16
    • 0038217829 scopus 로고    scopus 로고
    • Vector algebra in the analysis of genome-wide expression data
    • Kuruvilla, F.G., Park, P.J., Schreiber, S.L.: Vector algebra in the analysis of genome-wide expression data. Genome Biology (3) (2002)
    • (2002) Genome Biology , vol.3
    • Kuruvilla, F.G.1    Park, P.J.2    Schreiber, S.L.3
  • 17
    • 0027842081 scopus 로고
    • Matching pursuits with time-frequency dictionaries
    • Mallat, S., Zhang, Z.: Matching pursuits with time-frequency dictionaries. IEEE Transactions on Signal Processing 41(12), 3397-3415 (1993)
    • (1993) IEEE Transactions on Signal Processing , vol.41 , Issue.12 , pp. 3397-3415
    • Mallat, S.1    Zhang, Z.2
  • 18
    • 0029291966 scopus 로고
    • Sparse approximate solutions to linear systems
    • Natarajan, B.K.: Sparse approximate solutions to linear systems. SIAM Journal on Computing 24(2), 227-234 (1995)
    • (1995) SIAM Journal on Computing , vol.24 , Issue.2 , pp. 227-234
    • Natarajan, B.K.1
  • 19
    • 0001972217 scopus 로고    scopus 로고
    • Bounds on singular values revealed by QR factorizations
    • Pan, C.T., Tang, P.T.P.: Bounds on singular values revealed by QR factorizations. BIT Numerical Mathematics 39, 740-756 (1999)
    • (1999) BIT Numerical Mathematics , vol.39 , pp. 740-756
    • Pan, C.T.1    Tang, P.T.P.2
  • 20
    • 34547728320 scopus 로고    scopus 로고
    • Sampling from large matrices: An approach through geometric functional analysis
    • Rudelson, M., Vershynin, R.: Sampling from large matrices: An approach through geometric functional analysis. J. ACM 54(4) (2007)
    • (2007) J. ACM , vol.54 , Issue.4
    • Rudelson, M.1    Vershynin, R.2
  • 21
    • 35348901208 scopus 로고    scopus 로고
    • Improved approximation algorithms for large matrices via random projections
    • Washington, DC, USA, pp, IEEE Computer Society Press, Los Alamitos
    • Sarlos, T.: Improved approximation algorithms for large matrices via random projections. In: FOCS 2006: Proceedings of the 47th Annual IEEE Symposium on Foundations of Computer Science, Washington, DC, USA, pp. 143-152. IEEE Computer Society Press, Los Alamitos (2006)
    • (2006) FOCS 2006: Proceedings of the 47th Annual IEEE Symposium on Foundations of Computer Science , pp. 143-152
    • Sarlos, T.1
  • 23
    • 5444237123 scopus 로고    scopus 로고
    • Greed is good: Algorithmic results for sparse approximation
    • Tropp, J.A.: Greed is good: algorithmic results for sparse approximation. IEEE Transactions on Information Theory 50(10), 2231-2242 (2004)
    • (2004) IEEE Transactions on Information Theory , vol.50 , Issue.10 , pp. 2231-2242
    • Tropp, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.