Ideal Mixture Approximation of Cluster Size Distributions at Low Density
نویسندگان
چکیده
منابع مشابه
Ideal Mixture Approximation of Cluster Size Distributions at Low Density
We consider an interacting particle system in continuous configuration space. The pair interaction has an attractive part. We show that, at low density, the system behaves approximately like an ideal mixture of clusters (droplets): we prove rigorous bounds (a) for the constrained free energy associated with a given cluster size distribution, considered as an order parameter, (b) for the free en...
متن کاملStochastic Backpropagation through Mixture Density Distributions
The ability to backpropagate stochastic gradients through continuous latent distributions has been crucial to the emergence of variational autoencoders [4, 6, 7, 3] and stochastic gradient variational Bayes [2, 5, 1]. The key ingredient is an unbiased and low-variance way of estimating gradients with respect to distribution parameters from gradients evaluated at distribution samples. The “repar...
متن کاملHydrodynamics for a granular mixture at low density
Hydrodynamic transport in a binary mixture of inelastic hard spheres is analyzed in the context of the Boltzmann equation. A normal solution is obtained via the Chapman-Enskog method for states near the local homogeneous cooling state. The mass, heat, and momentum fluxes are determined to first order in the spatial gradients of the hydrodynamic fields, and the associated transport coefficients ...
متن کاملReversed hazard rate of the mixture distributions
In this article study summery of reversed hazard rate and mixture distributons then introduce reversed hazard rate mixture and waiting times of failure also introduce mixture reversed hazard rate additive modele and multiplicative and introduce behavioure mixture of k increasing reversed hazard rate (IRFR) Increasing(IRFR).
متن کاملSOM based density function approximation for mixture density HMMs
This paper explains how some properties of the Self-Organizing Maps (SOMs) can be exploited in the density models used in continuous density hidden Markov models (HMMs). The three main ideas are the suitable initialization of the centroids for the Gaussian mixtures, the smoothing of the HMM parameters and the use of topology for fast density approximations. The methods are tested here in the au...
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: Journal of Statistical Physics
سال: 2012
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-012-0499-5