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Characteristic imsets for learning Bayesian network structure
the characteristic imset, obtained from the standard imset by an affine transformation. Characteristic imsets are (shown to be) zero-one vectors and have many elegant properties structure. They are much closer to ...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Structural imsets: an algebraic method for describing conditional independence structures
The contribution recalls basic ideas of the method of structural imsets which is a non-graphical method for describing conditional independence structures based of independence implication of structural imsets<...
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
On open questions in the geometric approach to structural learning Bayesian nets
for standard imsets, and, consequently, for BN structures, was introduced. The new) structure is to represent it by a certain uniquely determined vector, called the standard imset. In a recent paper, it was shown ...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Probabilistic Conditional Independence Structures
The book provides the mathematical description of probabilistic conditional independence structures. A non-graphical algebraic approach is presented. The monograph presents the methods of structural imsets and supermodular ...
BA - Obecná matematika
- 2005 •
- B
Rok uplatnění
B - Odborná kniha
Characteristic imset: a simple algebraic representative of a Bayesian network structure
Basic idea of algebraic and geometric approach to learning Bayesian nets is recalled. A simpler algebraic representative, called the characteristic imset, is proposed. It is a 0-1 vector, obtained from the former representative, standard
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
A reconstruction algorithm for the essential graph
-valuedvector, known as a standard imset. We give a direct formula for the translation of any chain graph describing a Bayesian network structure into the standard imsetA standard graphical representative of a Bayesian netw...
BA - Obecná matematika
- 2009 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
On open questions in the geometric approach to learning BN structures
We try to answer some of the open questions in the geometric approach to learning Bayesian network structure. These questions concern the geometric structure of the polytope generated by standard imsets....
BA - Obecná matematika
- 2009 •
- D
Rok uplatnění
D - Stať ve sborníku
On polyhedral approximations of polytopes for learning Bayesian networks
We review three vector encodings of BN structures. The first one has been used vectors formerly introduced, called imsets (Studený, 2005). The topic to transform the inequalities suggested by Jaakkola et al. into the framework of
BA - Obecná matematika
- 2013 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
An algeraic approach to structural learning Bayesian networks
Basic idea is that every Bayesian network (BN) model is uniquely described by a certain integral vector, named standard imset. Every score-equivalent decomposable criterion appreas to be an affine function of the standard imset. Alb...
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
Other approaches to the description of conditional independence structures.
This contribution concerns some aspects complementary to the chapter on graphical models by Richardson and Sprirtes. Other graphical approaches are mentioned there, namely, those which use chain graphs and annotated graphs. A non-graphical approach b...
BA - Obecná matematika
- 2003 •
- C
Rok uplatnění
C - Kapitola v odborné knize
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