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Volumn 30, Issue , 2013, Pages 354-375

Algorithms and hardness for robust subspace recovery

Author keywords

Principal component analysis; Robust statistics; Subspace recovery; Unique games conjecture

Indexed keywords

COMPUTER SCIENCE; ESTIMATION; MATRIX ALGEBRA; PRINCIPAL COMPONENT ANALYSIS; RECOVERY; STATISTICS; UNSUPERVISED LEARNING;

EID: 84897101907     PISSN: 15324435     EISSN: 15337928     Source Type: Journal    
DOI: None     Document Type: Conference Paper
Times cited : (117)

References (38)
  • 1
    • 0032350790 scopus 로고    scopus 로고
    • On a reverse form of the brascamp-lieb inequality
    • F. Barthe. On a reverse form of the Brascamp-Lieb inequality. Invent. Math., 134(2): 335-361, 1998.
    • (1998) Invent. Math. , vol.134 , Issue.2 , pp. 335-361
    • Barthe, F.1
  • 2
    • 0001126703 scopus 로고
    • Best constants in young's inequality, its converse, and its generalization to more than three functions
    • H. J. Brascamp and E. H. Lieb. Best constants in Young's inequality, its converse, and its generalization to more than three functions. Advances in Math., 20(2): 151-173, 1976.
    • (1976) Advances in Math. , vol.20 , Issue.2 , pp. 151-173
    • Brascamp, H.J.1    Lieb, E.H.2
  • 3
    • 71049116435 scopus 로고    scopus 로고
    • Exact matrix completion via convex optimization
    • E. Candes and B. Recht. Exact matrix completion via convex optimization. Foundations of Comp. Math., pages 717-772, 2009.
    • (2009) Foundations of Comp. Math. , pp. 717-772
    • Candes, E.1    Recht, B.2
  • 5
    • 72749105872 scopus 로고    scopus 로고
    • Subadditivity of the entropy and its relation to brascamp-lieb type inequalities
    • E. Carlen and D. Cordero-Erausquin. Subadditivity of the entropy and its relation to brascamp-lieb type inequalities. Geometric and Functional Analysis, 19(2): 373-405, 2009.
    • (2009) Geometric and Functional Analysis , vol.19 , Issue.2 , pp. 373-405
    • Carlen, E.1    Cordero-Erausquin, D.2
  • 8
    • 0000861528 scopus 로고
    • Testing membership in matroid polyhedra
    • W. Cunningham. Testing membership in matroid polyhedra. J. Combin. Theory Ser. B, pages 161-188, 1984.
    • (1984) J. Combin. Theory Ser. B , pp. 161-188
    • Cunningham, W.1
  • 9
    • 79955735616 scopus 로고    scopus 로고
    • Algorithms and hardness for subspace approximation
    • A. Deshpande, M. Tulsiani, and N. Vishnoi. Algorithms and hardness for subspace approximation. SODA, pages 482-496, 2011.
    • (2011) SODA , pp. 482-496
    • Deshpande, A.1    Tulsiani, M.2    Vishnoi, N.3
  • 11
    • 1842510599 scopus 로고    scopus 로고
    • Optimal outlier removal in high-dimensional spaces
    • J. Dunagan and S. Vempala. Optimal outlier removal in high-dimensional spaces. J. Comput. Syst. Sci., pages 335-373, 2000.
    • (2000) J. Comput. Syst. Sci. , pp. 335-373
    • Dunagan, J.1    Vempala, S.2
  • 12
    • 0006664807 scopus 로고
    • Computing median-of-squares regression lines and guided topological sweep
    • H. Edelsbrunner and D. Souvaine. Computing median-of-squares regression lines and guided topological sweep. Journal of the Amer. Stat. Assoc., pages 115-119, 1990.
    • (1990) Journal of the Amer. Stat. Assoc. , pp. 115-119
    • Edelsbrunner, H.1    Souvaine, D.2
  • 13
    • 0002167079 scopus 로고
    • Submodular functions, matroids, and certain polyhedra
    • J. Edmonds. Submodular functions, matroids, and certain polyhedra. In Combinatorial Structures, pages 69-87. 1970.
    • (1970) Combinatorial Structures , pp. 69-87
    • Edmonds, J.1
  • 14
    • 0019574599 scopus 로고
    • Random sample consensus: A paradigm for model fitting with applications to image analysis and automated cartography
    • M. Fischler and R. Bolles. Random sample consensus: A paradigm for model fitting with applications to image analysis and automated cartography. Communications of the ACM, pages 381-395, 1981.
    • (1981) Communications of the ACM , pp. 381-395
    • Fischler, M.1    Bolles, R.2
  • 15
    • 51249185617 scopus 로고
    • The ellipsoid method and its consequences in combinatorial optimization
    • M. Grótschel, L. Lovász, and A. Schrijver. The ellipsoid method and its consequences in combinatorial optimization. Combinatorica, pages 169-197, 1981.
    • (1981) Combinatorica , pp. 169-197
    • Grótschel, M.1    Lovász, L.2    Schrijver, A.3
  • 17
    • 84860115692 scopus 로고    scopus 로고
    • Bypassing UGC for some optimal geometric inapproximability results
    • V. Guruswami, P. Raghavendra, R. Saket, and Y. Wu. Bypassing UGC for some optimal geometric inapproximability results. SODA, pages 699-717, 2012.
    • (2012) SODA , pp. 699-717
    • Guruswami, V.1    Raghavendra, P.2    Saket, R.3    Wu, Y.4
  • 19
    • 0000335630 scopus 로고    scopus 로고
    • A combinatorial strongly polynomial time algorithm for minimizing submodular functions
    • S. Iwata, L. Fleischer, and S. Fujishige. A combinatorial strongly polynomial time algorithm for minimizing submodular functions. JACM, pages 761-777, 2001.
    • (2001) JACM , pp. 761-777
    • Iwata, S.1    Fleischer, L.2    Fujishige, S.3
  • 20
    • 78149314968 scopus 로고    scopus 로고
    • Constructive proofs of concentration bounds
    • V. Kabanets and R. Impagliazzo. Constructive proofs of concentration bounds. APPROX-RANDOM, pages 617-631, 2010.
    • (2010) APPROX-RANDOM , pp. 617-631
    • Kabanets, V.1    Impagliazzo, R.2
  • 21
    • 0001740155 scopus 로고
    • On the complexity of approximating extremal determinants in matrices
    • L. Khachiyan. On the complexity of approximating extremal determinants in matrices. Journal of Complexity, pages 138-153, 1995.
    • (1995) Journal of Complexity , pp. 138-153
    • Khachiyan, L.1
  • 22
    • 79959709044 scopus 로고    scopus 로고
    • Hardness of approximately solving linear equations over the reals
    • S. Khot and D. Moshkovitz. Hardness of approximately solving linear equations over the reals. STOC, pages 413-420, 2011.
    • (2011) STOC , pp. 413-420
    • Khot, S.1    Moshkovitz, D.2
  • 23
  • 26
    • 84879833771 scopus 로고    scopus 로고
    • Efficient rounding for the noncommutative grothendieck inequality
    • A. Naor, O. Regev, and T. Vidick. Efficient rounding for the noncommutative grothendieck inequality. STOC, 2013.
    • (2013) STOC
    • Naor, A.1    Regev, O.2    Vidick, T.3
  • 28
    • 77954710865 scopus 로고    scopus 로고
    • Graph expansion and the unique games conjecture
    • P. Raghavendra and D. Steurer. Graph expansion and the unique games conjecture. STOC, pages 755-764, 2010.
    • (2010) STOC , pp. 755-764
    • Raghavendra, P.1    Steurer, D.2
  • 30
    • 78549288866 scopus 로고    scopus 로고
    • Guaranteed minimum rank solutions of matrix equations via nuclear norm minimization
    • B. Recht, M. Fazel, and P. Parrilo. Guaranteed minimum rank solutions of matrix equations via nuclear norm minimization. SIAM Rev., pages 471-501, 2010.
    • (2010) SIAM Rev. , pp. 471-501
    • Recht, B.1    Fazel, M.2    Parrilo, P.3
  • 33
    • 0034311821 scopus 로고    scopus 로고
    • A combinatorial algorithm for minimizing submodular functions in strongly polynomial time
    • A. Schrijver. A combinatorial algorithm for minimizing submodular functions in strongly polynomial time. J. Combin. Theory Ser. B, pages 346-355, 2000.
    • (2000) J. Combin. Theory Ser. B , pp. 346-355
    • Schrijver, A.1
  • 34
    • 84884476031 scopus 로고    scopus 로고
    • A geometric analysis of subspace clustering with outliers
    • M. Soltanolkotabi and E. Candes. A geometric analysis of subspace clustering with outliers. Ann. of Stat., pages 2195-2238, 2012.
    • (2012) Ann. of Stat. , pp. 2195-2238
    • Soltanolkotabi, M.1    Candes, E.2
  • 35
    • 84898042937 scopus 로고    scopus 로고
    • S. Vempala. The joy of PCA. 2010. http://www.cc.gatech.edu/events/cse- seminar-santosh-vempala-0.
    • (2010) The Joy of PCA
    • Vempala, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.