Results 271 to 280 of about 1,582,117 (317)
Some of the next articles are maybe not open access.
A non uniform bound on geometric approximation with w-functions
Communications in Statistics - Theory and Methods, 2018The aim of this paper is a use of Stein’s method and w-functions to determine a non uniform bound on the geometric approximation for a non negative integer-valued random variable.
K. Teerapabolarn, C. Soponpimol
semanticscholar +1 more source
Non-uniform hyperbolicity and universal bounds for S-unimodal maps
Inventiones Mathematicae, 1998An \(S\)-unimodal map \(f\) is said to satisfy the Collet-Eckmann condition if the lower Lyapunov exponent at the critical value is positive. If the infimum of the Lyapunov exponent over all periodic points is positive then \(f\) is said to have a uniform hyperbolic structure.
Nowicki, Tomasz, Sands, Duncan
openaire +2 more sources
Performance bounds of non-uniform signaling over AWGN channels
1999 IEEE Communications Theory Mini-Conference (Cat. No.99EX352), 1999We present two bounds (one lower bound and one upper bound) on the probability of a union of a finite number of events. The bounds-which are expressed in terms of only the individual event probabilities and the pairwise event probabilities-are applied to examine the symbol error (P/sub s/) and bit error (P/sub b/) probabilities of an uncoded ...
H. Kuai, F. Alajagi, G. Takahara
openaire +1 more source
Non-uniform Bounds for Independent Random Variables
2011Continuing the consideration of the independent case, Chap. 8 presents non-uniform bounds for sums of independent random variables. In particular, by use of non-uniform concentration inequalities and the Bennett–Hoeffding inequality, bounds for the absolute difference between the distribution function F(z) of a sum of independent variables and the ...
Louis H. Y. Chen +2 more
openaire +1 more source
Uniform and Non-uniform Bounds Under Local Dependence
2011Chapter 9 considers local dependence using the K-function approach, and obtains both uniform and non-uniform Berry–Esseen bounds. The results are applied to certain scan statistics, and yield a general theorem when the local dependence can be expressed in terms of a dependency graph whose vertices are the underlying variables, and where two non ...
Louis H. Y. Chen +2 more
openaire +1 more source
Non-uniform Timestep Sampling: Towards Faster Diffusion Model Training
ACM MultimediaDiffusion models have garnered significant success in generative tasks, emerging as the predominant model in this domain. Despite their success, the substantial computational resources required for training diffusion models restrict their practical ...
Tianyi Zheng +7 more
semanticscholar +1 more source
The Orthogonal Vectors Conjecture and Non-Uniform Circuit Lower Bounds
IEEE Annual Symposium on Foundations of Computer ScienceA line of work has shown how nontrivial uniform algorithms for analyzing circuits can be used to derive non-uniform circuit lower bounds. We show how the non-existence of nontrivial circuit-analysis algorithms can also imply non-uniform circuit lower ...
Ryan Williams
semanticscholar +1 more source
Non-uniform Berry-Esseen Bounds for Coordinate Symmetric Random Vectors with Applications
Acta Mathematica Vietnamica, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Le Van Thanh, Nguyen Ngoc Tu
openaire +2 more sources
On the Convergence of Adam under Non-uniform Smoothness: Separability from SGDM and Beyond
arXiv.orgThis paper aims to clearly distinguish between Stochastic Gradient Descent with Momentum (SGDM) and Adam in terms of their convergence rates. We demonstrate that Adam achieves a faster convergence compared to SGDM under the condition of non-uniformly ...
Bohan Wang +5 more
semanticscholar +1 more source
Uniform and Non-uniform Bounds for Non-linear Statistics
2011Chapter 10 develops uniform and non-uniform bounds for non-linear functions T(X 1,…,X n ), of independent random variables X 1,…,X n , that can be well approximated by a linear term plus a non-linear remainder. Applications include U-statistics, L-statistics and random sums.
Louis H. Y. Chen +2 more
openaire +1 more source