-
1
-
-
84867302881
-
A coordinate-free condition number for convex programming
-
Amelunxen, D., Bürgisser, P.: A coordinate-free condition number for convex programming. SIAM J. Optim. 22(3), 1029-1041 (2012).
-
(2012)
SIAM J. Optim.
, vol.22
, Issue.3
, pp. 1029-1041
-
-
Amelunxen, D.1
Bürgisser, P.2
-
2
-
-
85099528408
-
Probabilistic analysis of the Grassmann condition number
-
arXiv: 1112. 2603
-
Amelunxen, D., Bürgisser, P.: Probabilistic analysis of the Grassmann condition number. Found. Comput. Math. (2013). arXiv: 1112. 2603.
-
(2013)
Found. Comput. Math.
-
-
Amelunxen, D.1
Bürgisser, P.2
-
3
-
-
84921699024
-
Intrinsic volumes of symmetric cones and applications in convex programming
-
doi: 10. 1007/s10107-013-0740-2
-
Amelunxen, D., Bürgisser, P.: Intrinsic volumes of symmetric cones and applications in convex programming. Math. Program. (2014). doi: 10. 1007/s10107-013-0740-2.
-
(2014)
Math. Program.
-
-
Amelunxen, D.1
Bürgisser, P.2
-
5
-
-
84928384740
-
Living on the edge: a geometric theory of phase transitions in convex optimization
-
arXiv: 1303. 6672
-
Amelunxen, D., Lotz, M., McCoy, M. B., Tropp, J. A.: Living on the edge: a geometric theory of phase transitions in convex optimization. Information & Inference (2013). arXiv: 1303. 6672.
-
(2013)
Information & Inference
-
-
Amelunxen, D.1
Lotz, M.2
McCoy, M.B.3
Tropp, J.A.4
-
7
-
-
0036991185
-
Proportional concentration phenomena on the sphere
-
Artstein, S.: Proportional concentration phenomena on the sphere. Isr. J. Math. 132, 337-358 (2002).
-
(2002)
Isr. J. Math.
, vol.132
, pp. 337-358
-
-
Artstein, S.1
-
9
-
-
47249117993
-
The probability that a slightly perturbed numerical analysis problem is difficult
-
Bürgisser, P., Cucker, F., Lotz, M.: The probability that a slightly perturbed numerical analysis problem is difficult. Math. Comp. 77(263), 1559-1583 (2008).
-
(2008)
Math. Comp.
, vol.77
, Issue.263
, pp. 1559-1583
-
-
Bürgisser, P.1
Cucker, F.2
Lotz, M.3
-
10
-
-
77953646724
-
Coverage processes on spheres and condition numbers for linear programming
-
Bürgisser, P., Cucker, F., Lotz, M.: Coverage processes on spheres and condition numbers for linear programming. Ann. Probab. 38(2), 570-604 (2010).
-
(2010)
Ann. Probab.
, vol.38
, Issue.2
, pp. 570-604
-
-
Bürgisser, P.1
Cucker, F.2
Lotz, M.3
-
12
-
-
0004302610
-
-
3rd edn., Wiley Series in Probability and Mathematical Statistics, New York: Wiley
-
Billingsley, P.: Probability and Measure. Wiley Series in Probability and Mathematical Statistics, 3rd edn. Wiley, New York (1995).
-
(1995)
Probability and Measure
-
-
Billingsley, P.1
-
13
-
-
0038373013
-
Concentration inequalities using the entropy method
-
Boucheron, S., Lugosi, G., Massart, P.: Concentration inequalities using the entropy method. Ann. Probab. 31(3), 1583-1614 (2003).
-
(2003)
Ann. Probab.
, vol.31
, Issue.3
, pp. 1583-1614
-
-
Boucheron, S.1
Lugosi, G.2
Massart, P.3
-
17
-
-
0004268492
-
-
Reprint of the 2000 original, Providence, RI: American Mathematical Society
-
Cheney, W., Light, W.: A Course in Approximation Theory. Graduate Studies in Mathematics, vol. 101. American Mathematical Society, Providence, RI (2009). Reprint of the 2000 original.
-
(2009)
A Course in Approximation Theory. Graduate Studies in Mathematics, Vol. 101
-
-
Cheney, W.1
Light, W.2
-
18
-
-
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
-
19
-
-
77950517814
-
Counting the faces of randomly-projected hypercubes and orthants, with applications
-
Donoho, D. L., Tanner, J.: Counting the faces of randomly-projected hypercubes and orthants, with applications. Discrete Comput. Geom. 43(3), 522-541 (2010).
-
(2010)
Discrete Comput. Geom.
, vol.43
, Issue.3
, pp. 522-541
-
-
Donoho, D.L.1
Tanner, J.2
-
21
-
-
0001666049
-
Das Wills'sche Funktional
-
Hadwiger, H.: Das Wills'sche Funktional. Monatsh. Math. 79, 213-221 (1975).
-
(1975)
Monatsh. Math.
, vol.79
, pp. 213-221
-
-
Hadwiger, H.1
-
22
-
-
0000243657
-
Über die Steinersche Formel für Parallelflächen
-
Herglotz, G.: Über die Steinersche Formel für Parallelflächen. Abh. Math. Sem. Hans. Univ. 15, 165-177 (1943).
-
(1943)
Abh. Math. Sem. Hans. Univ.
, vol.15
, pp. 165-177
-
-
Herglotz, G.1
-
23
-
-
0001070336
-
Tubes and spheres in n-spaces, and a class of statistical problems
-
Hotelling, H.: Tubes and spheres in n-spaces, and a class of statistical problems. Am. J. Math. 61(2), 440-460 (1939).
-
(1939)
Am. J. Math.
, vol.61
, Issue.2
, pp. 440-460
-
-
Hotelling, H.1
-
26
-
-
84902152959
-
-
PhD thesis, California Institute of Technology
-
McCoy, M. B.: A geometric analysis of convex demixing. PhD thesis, California Institute of Technology (2013). http://thesis. library. caltech. edu/7726/.
-
(2013)
A geometric analysis of convex demixing
-
-
McCoy, M.B.1
-
27
-
-
84905002246
-
Sharp recovery bounds for convex deconvolution, with applications
-
arXiv: 1205. 1580
-
McCoy, M. B., Tropp, J. A.: Sharp recovery bounds for convex deconvolution, with applications. Found. Comput. Math. (2012). arXiv: 1205. 1580.
-
(2012)
Found. Comput. Math.
-
-
McCoy, M.B.1
Tropp, J.A.2
-
28
-
-
84976038751
-
Non-linear angle-sum relations for polyhedral cones and polytopes
-
McMullen, P.: Non-linear angle-sum relations for polyhedral cones and polytopes. Math. Proc. Camb. Philos. Soc. 78(02), 247 (1975).
-
(1975)
Math. Proc. Camb. Philos. Soc.
, vol.78
, Issue.2
, pp. 247
-
-
McMullen, P.1
-
30
-
-
0004116414
-
-
3rd edn., New York: McGraw-Hill Book Co
-
Rudin, W.: Real and Complex Analysis, 3rd edn. McGraw-Hill Book Co., New York (1987).
-
(1987)
Real and Complex Analysis
-
-
Rudin, W.1
-
31
-
-
0004057553
-
-
2nd edn., International Series in Pure and Applied Mathematics, New York: McGraw-Hill Inc
-
Rudin, W.: Functional Analysis. International Series in Pure and Applied Mathematics, 2nd edn. McGraw-Hill Inc., New York (1991).
-
(1991)
Functional Analysis
-
-
Rudin, W.1
-
33
-
-
84968507609
-
On parallel hypersurfaces in the elliptic and hyperbolic n-dimensional space
-
Santaló, Luis A.: On parallel hypersurfaces in the elliptic and hyperbolic n-dimensional space. Proc. Am. Math. Soc. 1, 325-330 (1950).
-
(1950)
Proc. Am. Math. Soc.
, vol.1
, pp. 325-330
-
-
Santaló, L.A.1
-
34
-
-
0040209412
-
Notes on the integral geometry in the hyperbolic plane
-
(1980. Special issue in honor of António Monteiro)
-
Santaló, L. A.: Notes on the integral geometry in the hyperbolic plane. Port. Math. 39(1-4), 239-249 (1985). (1980. Special issue in honor of António Monteiro).
-
(1985)
Port. Math.
, vol.39
, Issue.1-4
, pp. 239-249
-
-
Santaló, L.A.1
-
36
-
-
21244468317
-
-
Wiley Series in Probability and StatisticsInequality, order, and shape restrictions, Hoboken: Wiley
-
Silvapulle, M. J., Sen, P. K.: Constrained Statistical Inference. Wiley Series in Probability and Statistics. Wiley, Hoboken (2005). Inequality, order, and shape restrictions.
-
(2005)
Constrained Statistical Inference
-
-
Silvapulle, M.J.1
Sen, P.K.2
-
38
-
-
33644944828
-
A Gaussian kinematic formula
-
Taylor, J. E.: A Gaussian kinematic formula. Ann. Probab. 34(1), 122-158 (2006).
-
(2006)
Ann. Probab.
, vol.34
, Issue.1
, pp. 122-158
-
-
Taylor, J.E.1
-
39
-
-
38249043260
-
An asymptotic estimate for the average number of steps in the parametric simplex method
-
Vershik, Anatoly M., Sporyshev, Piotr V.: An asymptotic estimate for the average number of steps in the parametric simplex method. USSR Comput. Maths. Math. Phys. 26(3), 104-113 (1986).
-
(1986)
USSR Comput. Maths. Math. Phys.
, vol.26
, Issue.3
, pp. 104-113
-
-
Vershik, A.M.1
Sporyshev, P.V.2
-
40
-
-
0038860738
-
Asymptotic behavior of the number of faces of random polyhedra and the neighborliness problem
-
Selected translations
-
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). Selected translations.
-
(1992)
Sel. Math. Sov.
, vol.11
, Issue.2
, pp. 181-201
-
-
Vershik, A.M.1
Sporyshev, P.V.2
-
41
-
-
0000045032
-
On the volume of tubes
-
Weyl, H.: On the volume of tubes. Am. J. Math. 61(2), 461-472 (1939).
-
(1939)
Am. J. Math.
, vol.61
, Issue.2
, pp. 461-472
-
-
Weyl, H.1
-
42
-
-
0004531368
-
Zur Gitterpunktanzahl konvexer Mengen
-
Wills, Jörg M.: Zur Gitterpunktanzahl konvexer Mengen. Elem. Math. 28, 57-63 (1973).
-
(1973)
Elem. Math.
, vol.28
, pp. 57-63
-
-
Wills, J.M.1
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