Constellation Model - The Method of Fergus Et Al. - Model Structure

Model Structure

Given a particular object class model with parameters, we must decide whether or not a new image contains an instance of that class. This is accomplished by making a Bayesian decision,

$R = frac{p(mbox{Object}|X,S,A)}{p(mbox{No object}|X,S,A)}$
$= frac{p(X,S,A|mbox{Object})p(mbox{Object})}{p(X,S,A|mbox{No object})p(mbox{No object})}$
$approx frac{p(X,S,A|Theta)p(mbox{Object})}{p(X,S,A|Theta_{bg})p(mbox{No object})}$

where is the background model. This ratio is compared to a threshold to determine object presence/absence.

The likelihoods are factored as follows:

$p(X,S,A|Theta) = sum_{h in H} p(X,S,A,h|Theta) =$
$sum_{h in H} underbrace{ p(A|X,S,h,Theta) }_{mbox{Appearance}} underbrace{ p(X|S,h,Theta) }_{mbox{Shape}} underbrace{ p(S|h,Theta) }_{mbox{Rel. Scale}} underbrace{ p(h|Theta) }_{mbox{Other}}$

Other articles related to "structure, model, model structure, models":

History Of Physics - Influential Physicists
1906) developed statistical mechanics (how the properties of atoms – mass, charge, and structure – determine the visible properties of matter, such as viscosity, thermal conductivity ... the "Father of Modern Physics" Niels Bohr (1885 - 1962) used quantum mechanical model (known as the Bohr model) of the atom which theorized that ... exclusion principle involving spin theory (underpinning the structure of matter and the whole of chemistry), published the Pauli–Villars regularization, formulated the Pauli equation, coined ...
A¹ Homotopy Theory - Construction of The A1 Homotopy Category
... This is the homotopy category for a certain closed model category whose construction requires several steps ... We will define a closed model structure on ΔopShv(T) in terms of points ... The homotopy category of this model structure is denoted ...
Analytica - Hierarchical Influence Diagrams
... Analytica models are organized as influence diagrams ... level of abstraction, people are able to take in far more information about a model's structure and organization at a glance than is possible with less visual paradigms, such as spreadsheets and ... Managing the structure and organization of a large model can be a significant part of the modeling process, but is substantially aided by the visualization ...

Famous quotes containing the words structure and/or model:

In the extent and proper structure of the Union, therefore, we behold a republican remedy for the diseases most incident to republican government.