-
1
-
-
77950517102
-
-
arXiv: 0904. 4723v1
-
Adamczak, R., Litvak, A. E., Pajor, A., Tomczak-Jaegermann, N.: Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling. arXiv: 0904. 4723v1 (2009).
-
(2009)
Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling
-
-
Adamczak, R.1
Litvak, A.E.2
Pajor, A.3
Tomczak-Jaegermann, N.4
-
3
-
-
0031482165
-
Gaussian samplesm, regular simplices, and exchangeability
-
Baryshnikov, Y. M.: Gaussian samplesm, regular simplices, and exchangeability. Discrete Comput. Geom. 17(3), 257-261 (1997).
-
(1997)
Discrete Comput. Geom.
, vol.17
, Issue.3
, pp. 257-261
-
-
Baryshnikov, Y.M.1
-
4
-
-
0004196915
-
-
Encyclopedia of Mathematics and Its Applications, Cambridge: Cambridge University Press
-
Björner, A., Las Vergns, M., Sturmfels, B., White, N., Ziegler, G.: Oriented Matroids. Encyclopedia of Mathematics and Its Applications, vol. 46. Cambridge University Press, Cambridge (1999).
-
(1999)
Oriented Matroids
, vol.46
-
-
Björner, A.1
Las Vergns, M.2
Sturmfels, B.3
White, N.4
Ziegler, G.5
-
5
-
-
0000360790
-
A class of convex bodies
-
Bolker, E. D.: A class of convex bodies. Trans. Am. Math. Soc. 145, 323-345 (1969).
-
(1969)
Trans. Am. Math. Soc.
, vol.145
, pp. 323-345
-
-
Bolker, E.D.1
-
6
-
-
0033273787
-
Random projections of regular polytopes
-
Böröczky, K., Jr., Henk, M.: Random projections of regular polytopes. Arch. Math. (Basel) 73(6), 465-473 (1999).
-
(1999)
Arch. Math. (Basel)
, vol.73
, Issue.6
, pp. 465-473
-
-
Böröczky Jr., K.1
Henk, M.2
-
7
-
-
51449110853
-
On the uniqueness of non-negative sparse and redundant representations
-
Special session on Compressed Sensing, Las Vegas, Nevada
-
Bruckstein, A. M., Elad, M., Zibulevsky, M.: On the uniqueness of non-negative sparse and redundant representations. In: ICASSP 2008. Special session on Compressed Sensing, Las Vegas, Nevada (2008).
-
(2008)
ICASSP 2008
-
-
Bruckstein, A.M.1
Elad, M.2
Zibulevsky, M.3
-
8
-
-
0040102842
-
On nonnegative solutions of random systems of linear inequalities
-
Buchta, C.: On nonnegative solutions of random systems of linear inequalities. Discrete Comput. Geom. 2(1), 85-95 (1987).
-
(1987)
Discrete Comput. Geom.
, vol.2
, Issue.1
, pp. 85-95
-
-
Buchta, C.1
-
9
-
-
84918441630
-
Geometrical and statistical properties of systems of linear inequalities with applications in pattern recognition
-
Cover, T. M.: Geometrical and statistical properties of systems of linear inequalities with applications in pattern recognition. IEEE Trans. Electron. Comput. EC-14(3), 326-334 (1965).
-
(1965)
IEEE Trans. Electron. Comput.
, vol.EC-14
, Issue.3
, pp. 326-334
-
-
Cover, T.M.1
-
10
-
-
33646479497
-
High-dimensional centrally-symmetric polytopes with neighborliness proportional to dimension
-
Donoho, D. L.: High-dimensional centrally-symmetric polytopes with neighborliness proportional to dimension. Discrete Comput. Geom. 35(4), 617-652 (2006).
-
(2006)
Discrete Comput. Geom.
, vol.35
, Issue.4
, pp. 617-652
-
-
Donoho, D.L.1
-
12
-
-
22144471532
-
Neighborliness of randomly-projected simplices in high dimensions
-
Donoho, D. L., Tanner, J.: Neighborliness of randomly-projected simplices in high dimensions. Proc. Natl. Acad. Sci. USA 102(27), 9452-9457 (2005).
-
(2005)
Proc. Natl. Acad. Sci. USA
, vol.102
, Issue.27
, pp. 9452-9457
-
-
Donoho, D.L.1
Tanner, J.2
-
13
-
-
22144488449
-
Sparse nonnegative solutions of underdetermined linear equations by linear programming
-
Donoho, D. L., Tanner, J.: Sparse nonnegative solutions of underdetermined linear equations by linear programming. Proc. Natl. Acad. Sci. USA 102(27), 9446-9451 (2005).
-
(2005)
Proc. Natl. Acad. Sci. USA
, vol.102
, Issue.27
, pp. 9446-9451
-
-
Donoho, D.L.1
Tanner, J.2
-
16
-
-
57349138185
-
Counting faces of randomly-projected polytopes when the projection radically lowers dimension
-
Donoho, D. L., Tanner, J.: Counting faces of randomly-projected polytopes when the projection radically lowers dimension. J. AMS 22(1), 1-53 (2009).
-
(2009)
J. AMS
, vol.22
, Issue.1
, pp. 1-53
-
-
Donoho, D.L.1
Tanner, J.2
-
17
-
-
73149095252
-
Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing
-
Donoho, D. L., Tanner, J.: Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing. Philos. Trans. A (2009).
-
(2009)
Philos. Trans. A
-
-
Donoho, D.L.1
Tanner, J.2
-
18
-
-
0002712203
-
Maximum entropy and the nearly black object
-
Donoho, D. L., Johnstone, I. M., Hoch, J. C., Stern, A. S.: Maximum entropy and the nearly black object. J. R. Stat. Soc., Ser. B (Methodological) 54(1), 41-81 (1992).
-
(1992)
J. R. Stat. Soc., Ser. B (Methodological)
, vol.54
, Issue.1
, pp. 41-81
-
-
Donoho, D.L.1
Johnstone, I.M.2
Hoch, J.C.3
Stern, A.S.4
-
19
-
-
2942640138
-
On sparse representations in arbitrary redundant bases
-
Fuchs, J.-J.: On sparse representations in arbitrary redundant bases. IEEE Trans. Inf. Theory 50(6), 1341-1344 (2004).
-
(2004)
IEEE Trans. Inf. Theory
, vol.50
, Issue.6
, pp. 1341-1344
-
-
Fuchs, J.-J.1
-
20
-
-
0002517837
-
Zonoids and generalisations
-
Amsterdam: North-Holland
-
Goodey, P., Weil, W.: Zonoids and generalisations. In: Handbook of Convex Geometry, vols. A, B, pp. 1297-1326. North-Holland, Amsterdam (1993).
-
(1993)
Handbook of Convex Geometry
, vol.A-B
, pp. 1297-1326
-
-
Goodey, P.1
Weil, W.2
-
21
-
-
33846819595
-
-
2, Graduate Texts in MathematicsPrepared and with a preface by Volker Kaibel, Victor Klee, and Günter M. Ziegler, New York: Springer
-
Grünbaum, B.: Convex Polytopes, 2nd edn. Graduate Texts in Mathematics, vol. 221. Springer, New York (2003). Prepared and with a preface by Volker Kaibel, Victor Klee, and Günter M. Ziegler.
-
(2003)
Convex Polytopes
, vol.221
-
-
Grünbaum, B.1
-
25
-
-
0038860738
-
Asymptotic behavior of the number of faces of random polyhedra and the neighborliness problem
-
Vershik, A. M., Sporyshev, P. V.: Asymptotic behavior of the number of faces of random polyhedra and the neighborliness problem. Sel. Math. Sov. 11(2), 181-201 (1992).
-
(1992)
Sel. Math. Sov.
, vol.11
, Issue.2
, pp. 181-201
-
-
Vershik, A.M.1
Sporyshev, P.V.2
-
26
-
-
0000623082
-
A problem in geometric probability
-
Wendel, J. G.: A problem in geometric probability. Math. Scand. 11, 109-111 (1962).
-
(1962)
Math. Scand.
, vol.11
, pp. 109-111
-
-
Wendel, J.G.1
-
27
-
-
0000034025
-
Partitions of n-space by hyperplanes
-
Winder, R. O.: Partitions of n-space by hyperplanes. SIAM J. Appl. Math. 14(4), 811-818 (1966).
-
(1966)
SIAM J. Appl. Math.
, vol.14
, Issue.4
, pp. 811-818
-
-
Winder, R.O.1
-
28
-
-
0004159676
-
-
Graduate Texts in Mathematics, New York: Springer
-
Ziegler, G. M.: Lectures on Polytopes. Graduate Texts in Mathematics, vol. 152. Springer, New York (1995).
-
(1995)
Lectures on Polytopes
, vol.152
-
-
Ziegler, G.M.1
-
29
-
-
18244369219
-
What is known about unit cubes
-
Zong, C.: What is known about unit cubes. Bull. AMS 42(2), 181-211 (2005).
-
(2005)
Bull. AMS
, vol.42
, Issue.2
, pp. 181-211
-
-
Zong, C.1
|