Isotropic position

In the fields of machine learning, the theory of computation, and random matrix theory, a probability distribution over vectors is said to be in… (More)
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Papers overview

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2011
2011
We present proofs of the reverse Santaló inequality, the existence of M ellipsoids and the reverse Brunn–Minkowski inequality… (More)
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2010
2010
Received August 27, 2010; accepted October 18, 2010; posted October 21, 2010 (Doc. ID 134145); published December 14, 2010 In… (More)
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2008
2008
We prove sharp inequalities showing that the volume of the hyperplane sections of a convex body in isotropic position through its… (More)
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2006
Highly Cited
2006
We present a randomized method to approximate any vector v from some set T ⊂ R. The data one is given is the set T , vectors (Xi… (More)
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2003
2003
We investigate the effect of a Steiner type symmetrization on the isotropic constant of a convex body. We reduce the problem of… (More)
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Highly Cited
2002
Highly Cited
2002
We consider the Fokker-Planck equation with a confining or anti-confining potential which behaves at infinity like a possibly… (More)
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Highly Cited
1999
Highly Cited
1999
K 〈x, y〉 dy = ‖x‖ By ‖·‖ we denote the standard Euclidean norm. The notion of isotropic position was extensively studied by V… (More)
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1999
1999
  • René de Borsta, Jerzy Paminb, Marc G. D. Geersc
  • 1999
Combinations of gradient plasticity with scalar damage and of gradient damage with isotropic plasticity are proposed and… (More)
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Highly Cited
1997
Highly Cited
1997
Although orthorhombic (or orthotropic) symmetry is believed to be common for fractured reservoirs, the difficulties in dealing… (More)
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1997
1997
For any n ∈ N such that 2n ≤ min(p, q), we construct a representation πn of O(p, q) with p+q even as the kernel of a commuting… (More)
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