Points of Positive Density for Smooth Functionals
نویسندگان
چکیده
منابع مشابه
Concentration Inequalities for Density Functionals
Estimating various kinds of entropy, mutual information, divergence, and other kinds of integral functionals of probability densities in a statistically consistent manner is of great importance in many machine learning tasks. Although this is a fundamental problem in nonparametric statistics, to the best of our knowledge there have been no finite sample exponential concentration bounds derived ...
متن کاملImproved density functionals for water.
The accuracy of existing density functional methods for describing the noncovalent interaction energies in small water clusters is investigated by testing 25 density functionals against a data set of 28 water dimers and 8 water trimers whose structures are taken from the literature and from simulations. The most accurate functionals are found to be PW6B95 with a mean unsigned error of 0.13 kcal...
متن کاملOrdering Points by Linear Functionals
Given a set of points in Euclidean space, we say that two linear functionals diier on that set if they give rise to diierent linear orderings of the points. We investigate what the largest and smallest number of diierent linear functionals can be as a function of the number of points and the dimension of the space. 1. Introduction The purpose of this paper is to investigate the number of diiere...
متن کاملDevelopment of density functionals for thermochemical kinetics.
A density functional theory exchange-correlation functional for the exploration of reaction mechanisms is proposed. This functional, denoted BMK (Boese-Martin for Kinetics), has an accuracy in the 2 kcal/mol range for transition state barriers but, unlike previous attempts at such a functional, this improved accuracy does not come at the expense of equilibrium properties. This makes it a genera...
متن کاملOn Smooth Statistical Tail Functionals
Many estimators of the extreme value index of a distribution function F that are based on a certain number k n of largest order statistics can be represented as a statistical tail functional, that is a functional T applied to the empirical tail quantile function Q n. We study the asymptotic behavior of such estimators with scale and location invariant functional T under weak second order condit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 1998
ISSN: 1083-6489
DOI: 10.1214/ejp.v3-23