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Volumn 2015-January, Issue January, 2015, Pages 921-939

Sketching for M-estimators: A unified approach to robust regression

Author keywords

[No Author keywords available]

Indexed keywords

COST FUNCTIONS;

EID: 84938243406     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1137/1.9781611973730.63     Document Type: Conference Paper
Times cited : (66)

References (43)
  • 1
    • 0038166193 scopus 로고    scopus 로고
    • Database-friendly random projections: Johnson-Lindenstrauss with binary coins
    • Dimitris Achlioptas. Database-friendly random projections: Johnson-Lindenstrauss with binary coins. J. Comput. Syst. Sci., 66 (4): 671-687, 2003.
    • (2003) J. Comput. Syst. Sci , vol.66 , Issue.4 , pp. 671-687
    • Achlioptas, D.1
  • 2
    • 34247228045 scopus 로고    scopus 로고
    • Fast computation of low-rank matrix approximations
    • Dimitris Achlioptas and Frank McSherry. Fast computation of low-rank matrix approximations. J. ACM, 54 (2), 2007.
    • (2007) J. ACM , vol.54 , Issue.2
    • Achlioptas, D.1    McSherry, F.2
  • 3
    • 33748109164 scopus 로고    scopus 로고
    • Approximate nearest neighbors and the fast Johnson-Lindenstrauss transform
    • Nir Ailon and Bernard Chazelle. Approximate nearest neighbors and the fast Johnson-Lindenstrauss transform. In STOC, pages 557-563, 2006.
    • (2006) STOC , pp. 557-563
    • Ailon, N.1    Chazelle, B.2
  • 4
    • 84880159744 scopus 로고    scopus 로고
    • An almost optimal unrestricted fast Johnson-Lindenstrauss transform
    • June
    • Nir Ailon and Edo Liberty. An almost optimal unrestricted fast Johnson-Lindenstrauss transform. ACM Trans. Algorithms, 9 (3): 21:1-21:12, June 2013.
    • (2013) ACM Trans. Algorithms , vol.9 , Issue.3 , pp. 211-2112
    • Ailon, N.1    Liberty, E.2
  • 6
    • 84915816514 scopus 로고    scopus 로고
    • Toward a unified theory of sparse dimensionality reduction in euclidean space
    • 1311.2542
    • Jean Bourgain and Jelani Nelson. Toward a unified theory of sparse dimensionality reduction in euclidean space. CoRR, abs/1311.2542, 2013.
    • (2013) CoRR
    • Bourgain, J.1    Nelson, J.2
  • 8
    • 77954721904 scopus 로고    scopus 로고
    • Zero-one frequency laws
    • Vladimir Braverman and Rafail Ostrovsky. Zero-one frequency laws. In STOC, pages 281-290, 2010.
    • (2010) STOC , pp. 281-290
    • Braverman, V.1    Ostrovsky, R.2
  • 9
    • 84879805132 scopus 로고    scopus 로고
    • Low rank approximation and regression in input spar-sity time
    • Full version
    • Kenneth L Clarkson and David P Woodruff. Low rank approximation and regression in input spar-sity time. In STOC, 2013. Full version at http://arxiv.org/abs/1207.6365.
    • (2013) STOC
    • Clarkson, K.L.1    Woodruff, D.P.2
  • 10
    • 84863393897 scopus 로고    scopus 로고
    • Sampling algo-rithms and coresets for ℓp regression
    • Anirban Dasgupta, Petros Drineas, Boulos Harb, Ravi Kumar, and Michael W. Mahoney. Sampling algo-rithms and coresets for ℓp regression. SIAM J. Corn-put, 38 (5): 2060-2078, 2009.
    • (2009) SIAM J. Corn-put , vol.38 , Issue.5 , pp. 2060-2078
    • Dasgupta, A.1    Drineas, P.2    Harb, B.3    Kumar, R.4    Mahoney, M.W.5
  • 11
    • 77954786104 scopus 로고    scopus 로고
    • A sparse Jofmson-Lindenstrauss transform
    • Anirban Dasgupta, Ravi Kumar, and Tamas Sarlos. A sparse Jofmson-Lindenstrauss transform. In STOC, pages 341-350, 2010.
    • (2010) STOC , pp. 341-350
    • Dasgupta, A.1    Kumar, R.2    Sarlos, T.3
  • 12
    • 33244455701 scopus 로고    scopus 로고
    • Matrix approximation and projective clustering via volume sampling
    • Amit Deshpande, Luis Rademacher, Santosh Vempala, and Grant Wang. Matrix approximation and projective clustering via volume sampling. In SODA, pages 1117-1126, 2006.
    • (2006) SODA , pp. 1117-1126
    • Deshpande, A.1    Rademacher, L.2    Vempala, S.3    Wang, G.4
  • 13
    • 33750065382 scopus 로고    scopus 로고
    • Adaptive sampling and fast low-rank matrix approximation
    • Amit Deshpande and Santosh Vempala. Adaptive sampling and fast low-rank matrix approximation. In APPROX-RANDOM, pages 292-303, 2006.
    • (2006) APPROX-RANDOM , pp. 292-303
    • Deshpande, A.1    Vempala, S.2
  • 14
    • 33751115359 scopus 로고    scopus 로고
    • Fast Monte Carlo algorithms for matrices I: Approximating matrix multiplication
    • Petros Drineas, Ravi Kannan, and Michael W. Mahoney. Fast Monte Carlo algorithms for matrices I: Approximating matrix multiplication. SI AM J. Corn-put, 36 (1): 132-157, 2006.
    • (2006) SI AM J. Corn-put , vol.36 , Issue.1 , pp. 132-157
    • Drineas, P.1    Kannan, R.2    Mahoney, M.W.3
  • 15
    • 33751075906 scopus 로고    scopus 로고
    • Fast monte carlo algorithms for matrices II: Computing a low-rank approximation to a matrix
    • Petros Drineas, Ravi Kannan, and Michael W. Mahoney. Fast Monte Carlo algorithms for matrices II: Computing a low-rank approximation to a matrix. SIAM J. Comput, 36 (1): 158-183, 2006.
    • (2006) SIAM J. Comput , vol.36 , Issue.1 , pp. 158-183
    • Drineas, P.1    Kannan, R.2    Mahoney, M.W.3
  • 16
    • 33751097630 scopus 로고    scopus 로고
    • Fast monte carlo algorithms for matrices III: Computing a compressed approximate matrix decomposition
    • Petros Drineas, Ravi Kannan, and Michael W. Mahoney. Fast Monte Carlo algorithms for matrices III: Computing a compressed approximate matrix decomposition. SIAM J. Comput, 36 (1): 184-206, 2006.
    • (2006) SIAM J. Comput , vol.36 , Issue.1 , pp. 184-206
    • Drineas, P.1    Kannan, R.2    Mahoney, M.W.3
  • 17
    • 84938217599 scopus 로고    scopus 로고
    • Fast approximation of matrix coherence and statistical leverage
    • 1109.3843
    • Petros Drineas, Malik Magdon-Ismail, Michael W. Mahoney, and David P. Woodruff. Fast approximation of matrix coherence and statistical leverage. CoRR, abs/1109.3843, 2011.
    • (2011) CoRR
    • Drineas, P.1    Magdon-Ismail, M.2    Mahoney, M.W.3    Woodruff, D.P.4
  • 18
    • 33244493810 scopus 로고    scopus 로고
    • Sampling algorithms for ℓ2 regression and ap-plications
    • Petros Drineas, Michael W. Mahoney, and S. Muthukr-ishnan. Sampling algorithms for ℓ2 regression and ap-plications. In SODA, pages 1127-1136, 2006.
    • (2006) SODA , pp. 1127-1136
    • Drineas, P.1    Mahoney, M.W.2    Muthukr-Ishnan, S.3
  • 19
    • 33750079844 scopus 로고    scopus 로고
    • Subspace sampling and relative-error matrix approximation: Column-based methods
    • Petros Drineas, Michael W. Mahoney, and S. Muthukr-ishnan. Subspace sampling and relative-error matrix approximation: Column-based methods. In APPROX-RANDOM, pages 316-326, 2006.
    • (2006) APPROX-RANDOM , pp. 316-326
    • Drineas, P.1    Mahoney, M.W.2    Muthukr-Ishnan, S.3
  • 20
    • 34547707771 scopus 로고    scopus 로고
    • Subspace sampling and relative-error matrix approximation: Column-row-based methods
    • Petros Drineas, Michael W. Mahoney, and S. Muthukr-Ishnan. Subspace sampling and relative-error matrix approximation: Column-row-based methods. In ESA, [40 pages 304-314, 2006.
    • (2006) ESA , pp. 304-314
    • Drineas, P.1    Mahoney, M.W.2    Muthukr-Ishnan, S.3
  • 23
    • 0010774684 scopus 로고
    • Convexity and estimation
    • S. J. Haberman. Convexity and estimation. Ann. Statist., 17:1631-1661, 1989.
    • (1989) Ann. Statist , vol.17 , pp. 1631-1661
    • Haberman, S.J.1
  • 24
    • 0003157339 scopus 로고
    • Robust estimation of a location parameter
    • Peter J. Huber. Robust estimation of a location parameter. Ann. Math. Statist., 35 (1): 73-101, 1964.
    • (1964) Ann. Math. Statist , vol.35 , Issue.1 , pp. 73-101
    • Huber, P.J.1
  • 25
    • 33244491819 scopus 로고    scopus 로고
    • Optimal approximations of the frequency moments of data streams
    • Piotr Indyk and David P. Woodruff. Optimal approximations of the frequency moments of data streams. In STOC, pages 202-208, 2005.
    • (2005) STOC , pp. 202-208
    • Indyk, P.1    Woodruff, D.P.2
  • 27
    • 84860156141 scopus 로고    scopus 로고
    • Sparser johnson-lindenstrauss transforms
    • Daniel M. Kane and Jelani Nelson. Sparser Johnson-Lindenstrauss transforms. In SODA, pages 1195-1206, 2012.
    • (2012) SODA , pp. 1195-1206
    • Kane, D.M.1    Nelson, J.2
  • 28
    • 78751501372 scopus 로고    scopus 로고
    • Approaching optimality for solving SDD linear systems
    • Ioannis Koutis, Gary L. Miller, and Richard Peng. Approaching optimality for solving SDD linear systems. In FOCS, pages 235-244, 2010.
    • (2010) FOCS , pp. 235-244
    • Koutis, I.1    Miller, G.L.2    Peng, R.3
  • 29
    • 84863329239 scopus 로고    scopus 로고
    • A nearly-m log n time solver for SDD linear systems
    • Ioannis Koutis, Gary L. Miller, and Richard Peng. A nearly-m log n time solver for SDD linear systems. In FOCS, pages 590-598, 2011.
    • (2011) FOCS , pp. 590-598
    • Koutis, I.1    Miller, G.L.2    Peng, R.3
  • 30
    • 84856463292 scopus 로고    scopus 로고
    • Randomized algorithms for matrices and data
    • Michael W. Mahoney. Randomized algorithms for matrices and data. Foundations and Trends in Machine Learning, 3 (2): 123-224, 2011.
    • (2011) Foundations and Trends in Machine Learning , vol.3 , Issue.2 , pp. 123-224
    • Mahoney, M.W.1
  • 33
    • 20744445610 scopus 로고    scopus 로고
    • A bound on the deviation probability for sums of non-negative random variables
    • A. Maurer. A bound on the deviation probability for sums of non-negative random variables. Journal of Inequalities in Pure and Applied Mathematics, 4 (1), 2003.
    • (2003) Journal of Inequalities in Pure and Applied Mathematics , vol.4 , Issue.1
    • Maurer, A.1
  • 35
    • 84938228374 scopus 로고    scopus 로고
    • Iterative approaches to row sampling
    • 1211.2713
    • Gary L. Miller and Richard Peng. Iterative approaches to row sampling. CoRR, abs/1211.2713, 2012.
    • (2012) CoRR
    • Miller, G.L.1    Peng, R.2
  • 36
    • 84893502222 scopus 로고    scopus 로고
    • OSNAP: Faster numerical linear algebra algorithms via sparser subspace embeddings
    • 1211.1002
    • Jelani Nelson and Huy L. Nguyen. OSNAP: Faster numerical linear algebra algorithms via sparser subspace embeddings. CoRR, abs/1211.1002, 2012.
    • (2012) CoRR
    • Nelson, J.1    Nguyen, H.L.2
  • 37
    • 21144480023 scopus 로고
    • Asymptotics for m-estimators defined by convex minimization
    • Wojciech Niemiro. Asymptotics for m-estimators defined by convex minimization. Ann. Statist., 20 (3): 1514-1533, 1992.
    • (1992) Ann. Statist , vol.20 , Issue.3 , pp. 1514-1533
    • Niemiro, W.1
  • 38
    • 35348901208 scopus 로고    scopus 로고
    • Improved approximation algorithms for large matrices via random projections
    • Tamas Sarlos. Improved approximation algorithms for large matrices via random projections. In FOCS, pages 143-152, 2006.
    • (2006) FOCS , pp. 143-152
    • Sarlos, T.1
  • 39
    • 4544280485 scopus 로고    scopus 로고
    • Nearly-linear time algorithms for graph partitioning, graph sparsification, and solving linear systems
    • ACM
    • D. A. Spielman and S.-H. Teng. Nearly-linear time algorithms for graph partitioning, graph sparsification, and solving linear systems. In 36th Annual ACM Symposium on Theory of Computing, pages 81-90. ACM, 2004.
    • (2004) 36th Annual ACM Symposium on Theory of Computing , pp. 81-90
    • Spielman, D.A.1    Teng, S.-H.2
  • 40
    • 84883785464 scopus 로고    scopus 로고
    • Rademacher-sketch: A dimensionality-reducing embedding for sum-product norms, with an application to earth-mover distance
    • Elad Verbin and Qin Zhang. Rademacher-sketch: A dimensionality-reducing embedding for sum-product norms, with an application to earth-mover distance. In ICALP (1), pages 834-845, 2012.
    • (2012) ICALP , Issue.1 , pp. 834-845
    • Verbin, E.1    Zhang, Q.2
  • 41
    • 84915816502 scopus 로고    scopus 로고
    • p-regression using exponential random variables
    • 1305.5580
    • p-regression using exponential random variables. CoRR, abs/1305.5580, 2013.
    • (2013) CoRR
    • Woodruff, D.P.1    Zhang, Q.2
  • 42
    • 84897541008 scopus 로고    scopus 로고
    • Quantile regression for large-scale applications
    • Jiyan Yang, Xiangrui Meng, and Michael W. Mahoney. Quantile regression for large-scale applications. In ICML (3), pages 881-887, 2013.
    • (2013) ICML , Issue.3 , pp. 881-887
    • Yang, J.1    Meng, X.2    Mahoney, M.W.3
  • 43
    • 0030815476 scopus 로고    scopus 로고
    • Parameter estimation techniques: A tutorial with application to conic fitting
    • Zhengyou Zhang. Parameter estimation techniques: A tutorial with application to conic fitting. Image and Vision Computing Journal, 15 (1): 59-76, 1997. http://research.microsoft.com/en-us/um/people/zhang/INRIA/Publis/Tutorial-Estim/node24.html.
    • (1997) Image and Vision Computing Journal , vol.15 , Issue.1 , pp. 59-76
    • Zhang, Z.1


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