the present paper is an attempt to apply bourdieu’s field theory to the political field of the islamic republic of iran. the concept of field, as explained by bourdieu, provides a suitable theoretical framework to identify and explain the complexities and intricacies of different behaviors of this system and analyze its absolutely different practices in domestic and international arenas.  the m...

3 Graph Analysis 6 3.1 Analysis Based on Spectral Graph Theory . . . . . . . . . . . . . 7 3.2 Analysis Based on Random Field Theory . . . . . . . . . . . . . . 9 3.2.1 Markov Random Fields . . . . . . . . . . . . . . . . . . . . 9 3.2.2 Conditional Random Fields . . . . . . . . . . . . . . . . . 10 3.2.3 Gaussian Random Fields . . . . . . . . . . . . . . . . . . . 11 3.3 Analysis Based onMatri...

COMBINATORIAL MARKOV RANDOM FIELDS AND THEIR APPLICATIONS TO INFORMATION ORGANIZATION

Estimation of the parameters of Markov random field models for spatial and temporal data arises in many applications. There are computational and statistical challenges in developing efficient estimators because of the complexity of the joint distribution of the spatio-temporal models, especially when they involve hidden states that also need to be estimated from the observations. We develop co...

Markov networks utilize nonembedded probabilistic conditional independencies in order to provide an economical representation of a joint distribution in uncertainty management. In this paper we study several properties of nonembedded conditional independencies and show that they are in fact equivalent. The results presented here not only show the useful characteristics of an important subclass ...

We study how the typical gradient and height of a random surface are modified by addition quenched disorder in form independent external field. The results provide quantitative estimates, sharp up to multiplicative constants, following cases. It is shown that for real-valued random-field surfaces $$\nabla \phi $$ type with uniformly convex interaction potential: (i) delocalizes dimensions $$1\l...