Infinite Particle Systems
نویسندگان
چکیده
منابع مشابه
Entropy of infinite systems and transformations
The Kolmogorov-Sinai entropy is a far reaching dynamical generalization of Shannon entropy of information systems. This entropy works perfectly for probability measure preserving (p.m.p.) transformations. However, it is not useful when there is no finite invariant measure. There are certain successful extensions of the notion of entropy to infinite measure spaces, or transformations with ...
متن کاملGreen’s function theory for infinite and semi-infinite particle chains
A Green’s function theory for the excitation of, and scattering from, particle chains is developed. AZ transform is applied to the discrete dipole approximation of the chain, and the chain’s spectral properties are explored in the complex Z plane. It is shown that a continuous spectrum may be excited, and the roles of the discrete and continuous spectra in the chain response are studied. The la...
متن کاملStochastic Particle Gradient Descent for Infinite Ensembles
The superior performance of ensemble methods with infinite models are well known. Most of these methods are based on optimization problems in infinite-dimensional spaces with some regularization, for instance, boosting methods and convex neural networks use L1-regularization with the non-negative constraint. However, due to the difficulty of handling L1-regularization, these problems require ea...
متن کاملParticle Gibbs for Infinite Hidden Markov Models
Infinite Hidden Markov Models (iHMM’s) are an attractive, nonparametric generalization of the classical Hidden Markov Model which can automatically infer the number of hidden states in the system. However, due to the infinite-dimensional nature of the transition dynamics, performing inference in the iHMM is difficult. In this paper, we present an infinite-state Particle Gibbs (PG) algorithm to ...
متن کاملAN INTRODUCTION TO INFINITE PARTICLE ( jlYSTEMS *
In ‘i970, Spitzer wrote a paper called “Interaction of Markov processes” in which he introduced several classes of interacting particle systems. These processes and other related models, collectively referred to as infinite particle systems, have been the object of much research in the last ten years. In this paper we will survey some of the results which have been obtained and son?.= of the op...
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: Transactions of the American Mathematical Society
سال: 1973
ISSN: 0002-9947
DOI: 10.2307/1996704