-
1
-
-
27144475603
-
Connect the dots: how many random points can a regular curve pass through?
-
Arias-Castro, E., Donoho, D.L., Huo, X., Tovey, C.A.: Connect the dots: how many random points can a regular curve pass through? Adv. Appl. Probab. 37(3), 571–603 (2005)
-
(2005)
Adv. Appl. Probab
, vol.37
, Issue.3
, pp. 571-603
-
-
Arias-Castro, E.1
Donoho, D.L.2
Huo, X.3
Tovey, C.A.4
-
2
-
-
84856032134
-
Spectral clustering based on local linear approximations
-
Arias-Castro, E., Chen, G., Lerman, G.: Spectral clustering based on local linear approximations. Electron. J. Stat. 5, 1537–1587 (2011)
-
(2011)
Electron. J. Stat
, vol.5
, pp. 1537-1587
-
-
Arias-Castro, E.1
Chen, G.2
Lerman, G.3
-
3
-
-
0027680635
-
Orthogonal linear regression algorithm based on augmented matrix formulation
-
Bargiela, A., Hartley, J.K.: Orthogonal linear regression algorithm based on augmented matrix formulation. Comput. Oper. Res. 20, 829–836 (1993)
-
(1993)
Comput. Oper. Res
, vol.20
, pp. 829-836
-
-
Bargiela, A.1
Hartley, J.K.2
-
4
-
-
79960675858
-
Robust principal component analysis?
-
Candès, E.J., Li, X., Ma, Y., Wright, J.: Robust principal component analysis? J. ACM 58(3), 11 (2011)
-
(2011)
J. ACM
, vol.58
, Issue.3
, pp. 11
-
-
Candès, E.J.1
Li, X.2
Ma, Y.3
Wright, J.4
-
5
-
-
31744440684
-
Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
-
Candès, E.J., Romberg, J., Tao, T.: Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inf. Theory 52(2), 489–509 (2006)
-
(2006)
IEEE Trans. Inf. Theory
, vol.52
, Issue.2
, pp. 489-509
-
-
Candès, E.J.1
Romberg, J.2
Tao, T.3
-
6
-
-
33745604236
-
Stable signal recovery from incomplete and inaccurate measurements
-
Candès, E.J., Romberg, J., Tao, T.: Stable signal recovery from incomplete and inaccurate measurements. Commun. Pure Appl. Math. 59(8), 1207–1223 (2006)
-
(2006)
Commun. Pure Appl. Math
, vol.59
, Issue.8
, pp. 1207-1223
-
-
Candès, E.J.1
Romberg, J.2
Tao, T.3
-
7
-
-
0003280313
-
n: au-delà des graphes Lipschitziens
-
David, G., Semmes, S.: Singular integrals and rectifiable sets in $$\mathbb{R}^n$$Rn: au-delà des graphes Lipschitziens. Astérisque 193, 1–145 (1991)
-
(1991)
Astérisque
, vol.193
, pp. 1-145
-
-
David, G.1
Semmes, S.2
-
8
-
-
51149181449
-
The minimum in the gamma function
-
Deming, W.E., Colcord, C.G.: The minimum in the gamma function. Nature 135(3422), 917 (1935)
-
(1935)
Nature
, vol.135
, Issue.3422
, pp. 917
-
-
Deming, W.E.1
Colcord, C.G.2
-
9
-
-
33749255817
-
R1-PCA: rotational invariant $${L}_1$$L1-norm principal component analysis for robust subspace factorization
-
ACM, New York:
-
Ding, C., Zhou, D., He, X., Zha, H.: R1-PCA: rotational invariant $${L}_1$$L1-norm principal component analysis for robust subspace factorization. In: ICML ’06: Proceedings of the 23rd international Conference on Machine Learning, pp. 281–288. ACM, New York (2006)
-
(2006)
ICML ’06: Proceedings of the 23rd international Conference on Machine Learning
, pp. 281-288
-
-
Ding, C.1
Zhou, D.2
He, X.3
Zha, H.4
-
10
-
-
38249034009
-
n-norm based statistical data analysis
-
Dodge, Y.: An introduction to $$L_1$$L1-norm based statistical data analysis. Comput. Stat. Data Anal. 5(4), 239–253 (1987)
-
(1987)
Comput. Stat. Data Anal
, vol.5
, Issue.4
, pp. 239-253
-
-
Dodge, Y.1
-
11
-
-
33744552752
-
n-norm near-solution approximates the sparsest near-solution
-
Donoho, D.L.: For most large underdetermined systems of equations, the minimal $$l_1$$l1-norm near-solution approximates the sparsest near-solution. Commun. Pure Appl. Math. 59(7), 907–934 (2006)
-
(2006)
Commun. Pure Appl. Math
, vol.59
, Issue.7
, pp. 907-934
-
-
Donoho, D.L.1
-
12
-
-
33646365077
-
n-norm solution is also the sparsest solution
-
Donoho, D.L.: For most large underdetermined systems of linear equations the minimal $$l_1$$l1-norm solution is also the sparsest solution. Commun. Pure Appl. Math. 59(6), 797–829 (2006)
-
(2006)
Commun. Pure Appl. Math
, vol.59
, Issue.6
, pp. 797-829
-
-
Donoho, D.L.1
-
13
-
-
0032216898
-
The geometry of algorithms with orthogonality constraints. SIAM
-
Edelman, A., Arias, T.A., Smith, S.T.: The geometry of algorithms with orthogonality constraints. SIAM J. Matrix Anal. Appl. 20(2), 303–353 (electronic) (1999)
-
(1999)
J. Matrix Anal. Appl. 20(2)
, vol.303-353
, Issue.electronic
-
-
Edelman, A.1
Arias, T.A.2
Smith, S.T.3
-
14
-
-
84884541998
-
Vidal
-
Elhamifar, E., Vidal, R.:. Sparse subspace clustering: algorithm, theory, and applications. IEEE Trans. Pattern Anal. Mach. Intell. 35(11), 2765–2781 (2013)
-
(2013)
R.:. Sparse subspace clustering: algorithm, theory, and applications. IEEE Trans. Pattern Anal. Mach. Intell
, vol.35
, Issue.11
, pp. 2765-2781
-
-
Elhamifar, E.1
-
15
-
-
0019574599
-
Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography
-
Fischler, M., Bolles, R.: Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography. Commun. ACM 24(6), 381–395 (1981)
-
(1981)
Commun. ACM
, vol.24
, Issue.6
, pp. 381-395
-
-
Fischler, M.1
Bolles, R.2
-
18
-
-
84919885105
-
-
Harter, H.L.: The method of least squares and some alternatives: Part II. Int. Stat. Rev. 42(3), 235–264+282 (1974)
-
Harter, H.L.: The method of least squares and some alternatives: Part II. Int. Stat. Rev. 42(3), 235–264+282 (1974)
-
-
-
-
19
-
-
0000315057
-
The method of least squares and some alternatives. I
-
Harter, H.L.: The method of least squares and some alternatives. I. Int. Stat. Rev. 42, 147–174 (1974)
-
(1974)
Int. Stat. Rev
, vol.42
, pp. 147-174
-
-
Harter, H.L.1
-
21
-
-
84919885104
-
-
Lerman, G., Maunu, T.: Fast algorithm for robust subspace recovery (2014)
-
Lerman, G., Maunu, T.: Fast algorithm for robust subspace recovery (2014). arXiv:1406.6145
-
-
-
-
22
-
-
84867092906
-
Pminimization
-
Lerman, G., Zhang, T.: Robust recovery of multiple subspaces by geometric $${{l_p}}$$lp minimization. Ann. Stat. 39(5), 2686–2715 (2011)
-
(2011)
Ann. Stat
, vol.39
, Issue.5
, pp. 2686-2715
-
-
Lerman, G.1
Zhang, T.2
-
23
-
-
84919885103
-
-
Lerman, G., McCoy, M., Tropp, J.A., Zhang, T.: Robust computation of linear models, or how to find a needle in a haystack. Found. Math. Comput (2014) (to appear)
-
Lerman, G., McCoy, M., Tropp, J.A., Zhang, T.: Robust computation of linear models, or how to find a needle in a haystack. Found. Math. Comput (2014) (to appear)
-
-
-
-
24
-
-
0000072173
-
Principal component analysis for functional data
-
Locantore, N., Marron, J., Simpson, D., Tripoli, N., Zhang, J., Cohen, K., Boente, G., Fraiman, R., Brumback, B., Croux, C., Fan, J., Kneip, A., Marden, J., Robust, D.P.: Principal component analysis for functional data. TEST 8(1), 1–73 (1999)
-
(1999)
TEST
, vol.8
, Issue.1
, pp. 1-73
-
-
Locantore, N.1
Marron, J.2
Simpson, D.3
Tripoli, N.4
Zhang, J.5
Cohen, K.6
Boente, G.7
Fraiman, R.8
Brumback, B.9
Croux, C.10
Fan, J.11
Kneip, A.12
Marden, J.13
Robust, D.P.14
-
25
-
-
84947338420
-
-
Wiley, Chichester:
-
Maronna, R.A., Martin, R.D., Yohai, V.J.: Robust Statistics: Theory and Methods. Wiley Series in Probability and Statistics. Wiley, Chichester (2006)
-
(2006)
Robust Statistics: Theory and Methods. Wiley Series in Probability and Statistics
-
-
Maronna, R.A.1
Martin, R.D.2
Yohai, V.J.3
-
27
-
-
84859831899
-
Two proposals for robust PCA using semidefinite programming
-
McCoy, M., Tropp, J.: Two proposals for robust PCA using semidefinite programming. Electron. J. Stat. 5, 1123–1160 (2011)
-
(2011)
Electron. J. Stat
, vol.5
, pp. 1123-1160
-
-
McCoy, M.1
Tropp, J.2
-
28
-
-
38249032274
-
Least orthogonal absolute deviations
-
Nyquist, H.: Least orthogonal absolute deviations. Comput. Stat. Data Anal. 6(4), 361–367 (1988)
-
(1988)
Comput. Stat. Data Anal
, vol.6
, Issue.4
, pp. 361-367
-
-
Nyquist, H.1
-
29
-
-
0007437448
-
1problem
-
Osborne, M.R., Watson, G.A.: An analysis of the total approximation problem in separable norms, and an algorithm for the total $$l_1 $$l1 problem. SIAM J. Sci. Stat. Comput. 6(2), 410–424 (1985)
-
(1985)
SIAM J. Sci. Stat. Comput
, vol.6
, Issue.2
, pp. 410-424
-
-
Osborne, M.R.1
Watson, G.A.2
-
30
-
-
33747056370
-
The best bounds in Gautschi-Kershaw inequalities
-
Qi, F., Guo, B.-N., Chen, C.-P.: The best bounds in Gautschi-Kershaw inequalities. Math. Inequal. Appl. 9(3), 427–436 (2006)
-
(2006)
Math. Inequal. Appl
, vol.9
, Issue.3
, pp. 427-436
-
-
Qi, F.1
Guo, B.-N.2
Chen, C.-P.3
-
32
-
-
84884476031
-
A geometric analysis of subspace clustering with outliers
-
Soltanolkotabi, M., Candés, E.J.: A geometric analysis of subspace clustering with outliers. Ann. Stat. 40(4), 2195–2238 (2012)
-
(2012)
Ann. Stat
, vol.40
, Issue.4
, pp. 2195-2238
-
-
Soltanolkotabi, M.1
Candés, E.J.2
-
34
-
-
0000341740
-
On orthogonal linear approximation
-
Späth, H., Watson, G.A.: On orthogonal linear approximation. Numer. Math. 51, 531–543 (1987)
-
(1987)
Numer. Math
, vol.51
, pp. 531-543
-
-
Späth, H.1
Watson, G.A.2
-
35
-
-
0012913015
-
The finite-dimensional basis problem with an appendix on nets of Grassmann manifolds
-
Szarek, S.J.: The finite-dimensional basis problem with an appendix on nets of Grassmann manifolds. Acta Math. 151(3–4), 153–179 (1983)
-
(1983)
Acta Math
, vol.151
, Issue.3-4
, pp. 153-179
-
-
Szarek, S.J.1
-
36
-
-
0039519291
-
Metric entropy of homogeneous spaces
-
Polish Academy Sciences, Warsaw:
-
Szarek, S.J.: Metric entropy of homogeneous spaces. In: Quantum Probability (Gdańsk, 1997), vol. 43 of Banach Center Publication, pp. 395–410. Polish Academy Sciences, Warsaw (1998)
-
(1998)
Quantum Probability (Gdańsk, 1997), vol. 43 of Banach Center Publication
, pp. 395-410
-
-
Szarek, S.J.1
-
38
-
-
0033894631
-
MLESAC: a new robust estimator with application to estimating image geometry
-
Torr, P.H.S., Zisserman, A.: MLESAC: a new robust estimator with application to estimating image geometry. Comput. Vis. Image Understand. 78(1), 138–156 (2000)
-
(2000)
Comput. Vis. Image Understand
, vol.78
, Issue.1
, pp. 138-156
-
-
Torr, P.H.S.1
Zisserman, A.2
-
39
-
-
84919885101
-
-
Vershynin, R.: Introduction to the non-asymptotic analysis of random matrices. In: Eldar, Y.C., Kutyniok, G. (eds.) Compressed Sensing: Theory and Applications. Cambridge University Press (to appear)
-
Vershynin, R.: Introduction to the non-asymptotic analysis of random matrices. In: Eldar, Y.C., Kutyniok, G. (eds.) Compressed Sensing: Theory and Applications. Cambridge University Press (to appear)
-
-
-
-
40
-
-
84919885100
-
Some Problems in Orthogonal Distance and Non-Orthogonal Distance Regression
-
Watson, G.A.: Some Problems in Orthogonal Distance and Non-Orthogonal Distance Regression. Defense Technical Information Center (2001)
-
(2001)
Defense Technical Information Center
-
-
Watson, G.A.1
-
41
-
-
0344585467
-
1orthogonal distance regression
-
Watson, G.A.: On the gauss-newton method for $$l_1$$l1 orthogonal distance regression. IMA J. Numer. Anal. 22(3), 345–357 (2002)
-
(2002)
IMA J. Numer. Anal
, vol.22
, Issue.3
, pp. 345-357
-
-
Watson, G.A.1
-
42
-
-
0001309563
-
Differential geometry of Grassmann manifolds
-
Wong, Y.-C.: Differential geometry of Grassmann manifolds. Proc. Natl Acad. Sci. USA 57, 589–594 (1967)
-
(1967)
Proc. Natl Acad. Sci. USA
, vol.57
, pp. 589-594
-
-
Wong, Y.-C.1
-
43
-
-
85162008777
-
Robust PCA via outlier pursuit
-
Xu, H., Caramanis, C., Sanghavi, S.: Robust PCA via outlier pursuit. In: NIPS, pp. 2496–2504, 2010
-
(2010)
NIPS
, pp. 2496-2504
-
-
Xu, H.1
Caramanis, C.2
Sanghavi, S.3
-
44
-
-
84860244942
-
Robust PCA via outlier pursuit
-
Xu, H., Caramanis, C., Sanghavi, S.: Robust PCA via outlier pursuit. IEEE Trans. Inf. Theory 58(5), 3047–3064 (2012)
-
(2012)
IEEE Trans. Inf. Theory
, vol.58
, Issue.5
, pp. 3047-3064
-
-
Xu, H.1
Caramanis, C.2
Sanghavi, S.3
-
45
-
-
34948837349
-
A general framework for motion segmentation: independent, articulated, rigid, non-rigid, degenerate and nondegenerate
-
Yan, J., Pollefeys, M.: A general framework for motion segmentation: independent, articulated, rigid, non-rigid, degenerate and nondegenerate. ECCV 4, 94–106 (2006)
-
(2006)
ECCV
, vol.4
, pp. 94-106
-
-
Yan, J.1
Pollefeys, M.2
-
46
-
-
84897049186
-
A novel m-estimator for robust PCA
-
Zhang, T., Lerman, G.: A novel m-estimator for robust PCA. J. Mach. Learn. Res. 15, 749–808 (2014)
-
(2014)
J. Mach. Learn. Res
, vol.15
, pp. 749-808
-
-
Zhang, T.1
Lerman, G.2
-
47
-
-
77953223144
-
Median $$K$$K-flats for hybrid linear modeling with many outliers
-
Kyoto, Japan:
-
Zhang, T., Szlam, A., Lerman, G.: Median $$K$$K-flats for hybrid linear modeling with many outliers. In: 2009 IEEE 12th International Conference on Computer Vision Workshops (ICCV Workshops). pp. 234–241. Kyoto, Japan (2009)
-
(2009)
2009 IEEE 12th International Conference on Computer Vision Workshops (ICCV Workshops)
, pp. 234-241
-
-
Zhang, T.1
Szlam, A.2
Lerman, G.3
-
48
-
-
77955989449
-
Randomized hybrid linear modeling by local best-fit flats
-
Zhang, T., Szlam, A., Wang, Y., Lerman, G.: Randomized hybrid linear modeling by local best-fit flats. In: 2010 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 1927–1934, June 2010
-
(2010)
2010 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
, pp. 1927-1934
-
-
Zhang, T.1
Szlam, A.2
Wang, Y.3
Lerman, G.4
-
49
-
-
84867053797
-
Hybrid linear modeling via local best-fit flats
-
Zhang, T., Szlam, A., Wang, Y., Lerman, G.: Hybrid linear modeling via local best-fit flats. Int. J. Comput. Vis. 100, 217–240 (2012)
-
(2012)
Int. J. Comput. Vis
, vol.100
, pp. 217-240
-
-
Zhang, T.1
Szlam, A.2
Wang, Y.3
Lerman, G.4
|