The Multiset Sampler ∗ Scotland
نویسندگان
چکیده
We introduce the multiset sampler (MSS), a new Metropolis-Hastings algorithm for drawing samples from a posterior distribution. The MSS is designed to be effective when the posterior has the feature that the parameters can be divided into two sets: X, the parameters of interest and Y , the nuisance parameters. We contemplate a Metropolis-within-Gibbs sampler that iterates between X moves and Y moves. We consider the case where either (a) Y is discrete and lives on a finite set or (b) Y is continuous and lives on a bounded set. After some background, we define a multiset and show how to construct a distribution on one. The construction may seem artificial and pointless at first, but several small examples illustrate its value. Finally, we demonstrate the MSS in several realistic examples and compare it to alternatives.
منابع مشابه
On Unifying the Space of ℓ0-Sampling Algorithms
The problem of building an `0-sampler is to sample nearuniformly from the support set of a dynamic multiset. This problem has a variety of applications within data analysis, computational geometry and graph algorithms. In this paper, we abstract a set of steps for building an `0-sampler, based on sampling, recovery and selection. We analyze the implementation of an `0-sampler within this framew...
متن کاملREDUNDANCY OF MULTISET TOPOLOGICAL SPACES
In this paper, we show the redundancies of multiset topological spaces. It is proved that $(P^star(U),sqsubseteq)$ and $(Ds(varphi(U)),subseteq)$ are isomorphic. It follows that multiset topological spaces are superfluous and unnecessary in the theoretical view point.
متن کاملOn fuzzy multiset regular grammars
The main goal of this paper is to introduce and study fuzzy multiset regular grammar to show that fuzzy multiset finite automata and fuzzy multiset regular grammars are equivalent. We also study fuzzy multiset linear grammars and fuzzy multiset regular grammars in normal form. Furthermore, we show the equivalence of fuzzy multiset regular grammars, fuzzy multiset left linear grammars, fuzzy mul...
متن کاملNation, Ethnicity and Religion: Second Generation Muslims’ Social Identity in Scotland
Existing evidence seems to indicate that Muslims in Scotland have constructed hyphenated or hybrid identities that draw on religion, ethnicity and nationality. However, minor attention has been given to the differences in importance, meanings, and strengths of these identities, or the significance of their identity markers. Ethnic minority people can be identified with both their ethnic groups ...
متن کاملOn fuzzy multiset regular languages
The purpose of present work is to study some algebraic aspect of fuzzy multiset regular languages. In between, we show the equivalence of multiset regular language and fuzzy multiset regular language. Finally, we introduce the concept of pumping lemma for fuzzy multiset regular languages, which we use to establish a necessary and sufficient condition for a fuzzy multiset language to be non-cons...
متن کامل