نتایج جستجو برای: random differential inequalities

تعداد نتایج: 605108  

2003
Stéphane Boucheron Olivier Bousquet Gábor Lugosi Pascal Massart P. Massart

A general method for obtaining moment inequalities for functions of independent random variables is presented. It is a generalization of the entropy method which has been used to derive concentration inequalities for such functions [7], and is based on a generalized tensorization inequality due to Lata la and Oleszkiewicz [25]. The new inequalities prove to be a versatile tool in a wide range o...

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2001
A Efrat M Schwartz

Random Ising systems on a general hierarchical lattice with both random fields and random bonds are considered. Rigorous inequalities between eigenvalues of the Jacobian renormalization matrix at the pure fixed point are obtained. These inequalities lead to upper bounds on the crossover exponents [phi(i)].

Journal: :Proceedings of the American Mathematical Society 1966

Journal: :Annales Polonici Mathematici 1957

Journal: :Proceedings of the American Mathematical Society 1958

Journal: :Mathematical Inequalities & Applications 2009

Journal: :Proceedings of the National Academy of Sciences 1936

Journal: :Journal of Mathematical Analysis and Applications 2014

2012
LESTER MACKEY MICHAEL I. JORDAN RICHARD Y. CHEN JOEL A. TROPP

This paper derives exponential concentration inequalities and polynomial moment inequalities for the spectral norm of a random matrix. The analysis requires a matrix extension of the scalar concentration theory developed by Sourav Chatterjee using Stein’s method of exchangeable pairs. When applied to a sum of independent random matrices, this approach yields matrix generalizations of the classi...

Journal: :Pacific Journal of Mathematics 1974

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