New closed-form bounds on the partition function

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Closed-Form Bounds for the Rice $Ie$-Function

This work is devoted in the derivation of novel upper and lower bounds for the Rice Ie-function. These bounds are expressed in closed-form and are shown to be quite tight. This is particularly evident by the fact that for a certain range of parameter values, the derived lower bound virtually behaves as a remarkably accurate approximation. As a result, the offered expressions can be considered u...

متن کامل

Closed Form Absorption Time Bounds

We consider a class of Markov chains known for its closed form transient and steady-state distributions. We show that some absorbing chains can be also seen as members of this class and we provide the closed form solution for their absorption time distributions. By constructing upper and lower bounding chains that belong to this particular class one can easily compute both lower and upper bound...

متن کامل

On Elementary Lower Bounds for the Partition Function

We present two analogues of two well-known elementary arguments for a lower bound for p(n), the number of partitions of the integer n. One of these is character-theoretic, and the other relies on partition combinatorics developed and used in the theory of representations of the symmetric group. We show that these arguments provide better lower estimates. We also give an application.

متن کامل

Density Propagation and Improved Bounds on the Partition Function

Given a probabilistic graphical model, its density of states is a distribution that, for any likelihood value, gives the number of configurations with that probability. We introduce a novel message-passing algorithm called Density Propagation (DP) for estimating this distribution. We show that DP is exact for tree-structured graphical models and is, in general, a strict generalization of both s...

متن کامل

Cost Allocation in Partition Function Form Games

A cooperative game in partition function form is proposed for a cost allocation problem. The game describes a real situation in which a payoff of any coalition does not only depend on the players in the coalition but also on the coalition structure of the other players. Solution concepts like the stable set and the core are analyzed. Relations of the concepts in the case of the game in partitio...

متن کامل

ذخیره 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: Machine Learning

سال: 2008

ISSN: 0885-6125,1573-0565

DOI: 10.1007/s10994-008-5072-8