Dispersion of mass and the complexity of randomized geometric algorithms
暂无分享,去创建一个
[1] Irene A. Stegun,et al. Handbook of Mathematical Functions. , 1966 .
[2] DAVID DOBKIN,et al. A Lower Bound of the ½n² on Linear Search Programs for the Knapsack Problem , 1978, J. Comput. Syst. Sci..
[3] György Elekes,et al. A geometric inequality and the complexity of computing volume , 1986, Discret. Comput. Geom..
[4] Leslie G. Valiant,et al. Random Generation of Combinatorial Structures from a Uniform Distribution , 1986, Theor. Comput. Sci..
[5] Computing the volume is difficult , 1987, Discret. Comput. Geom..
[6] A. Edelman. Eigenvalues and condition numbers of random matrices , 1988 .
[7] V. Milman,et al. Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space , 1989 .
[8] Martin E. Dyer,et al. A random polynomial-time algorithm for approximating the volume of convex bodies , 1991, JACM.
[9] Leonid A. Levin,et al. A hard-core predicate for all one-way functions , 1989, STOC '89.
[10] Miklós Simonovits,et al. The mixing rate of Markov chains, an isoperimetric inequality, and computing the volume , 1990, Proceedings [1990] 31st Annual Symposium on Foundations of Computer Science.
[11] J. Bourgain. On the distribution of polynomials on high dimensional convex sets , 1991 .
[12] Keith Ball,et al. Normed spaces with a weak-Gordon-Lewis property , 1991 .
[13] M. Dyer. Computing the volume of convex bodies : a case where randomness provably helps , 1991 .
[14] David Applegate,et al. Sampling and integration of near log-concave functions , 1991, STOC '91.
[15] László Lovász,et al. Linear decision trees: volume estimates and topological bounds , 1992, STOC '92.
[16] Miklós Simonovits,et al. Random Walks in a Convex Body and an Improved Volume Algorithm , 1993, Random Struct. Algorithms.
[17] M. Simonovits,et al. Random walks and an O * ( n 5 ) volume algorithm for convex bodies , 1997 .
[18] Sergey G. Bobkov,et al. On the Central Limit Property of Convex Bodies , 2003 .
[19] Miklós Simonovits,et al. How to compute the volume in high dimension? , 2003, Math. Program..
[20] Santosh S. Vempala,et al. The Random Projection Method , 2005, DIMACS Series in Discrete Mathematics and Theoretical Computer Science.
[21] Santosh S. Vempala,et al. Simulated annealing in convex bodies and an O*(n4) volume algorithm , 2006, J. Comput. Syst. Sci..
[22] S. Vempala,et al. The geometry of logconcave functions and sampling algorithms , 2007 .
[23] S. Vempala. Geometric Random Walks: a Survey , 2007 .