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CCA
2005
Springer
15 years 3 months ago
Representing Probability Measures using Probabilistic Processes
In the Type-2 Theory of Effectivity, one considers representations of topological spaces in which infinite words are used as “names” for the elements they represent. Given s...
Matthias Schröder, Alex K. Simpson
ISIPTA
2003
IEEE
15 years 2 months ago
Geometry of Upper Probabilities
In this paper we adopt the geometric approach to the theory of evidence to study the geometric counterparts of the plausibility functions, or upper probabilities. The computation ...
Fabio Cuzzolin
65
Voted
NIPS
2000
14 years 11 months ago
Second Order Approximations for Probability Models
In this paper, we derive a second order mean field theory for directed graphical probability models. By using an information theoretic argument it is shown how this can be done in...
Hilbert J. Kappen, Wim Wiegerinck
RSCTC
2000
Springer
111views Fuzzy Logic» more  RSCTC 2000»
15 years 1 months ago
Toward a Perception-Based Theory of Probabilistic Reasoning
The perception-based theory of probabilistic reasoning which is outlined in this paper is not in the traditional spirit. Its principal aim is to lay the groundwork for a radical e...
Lotfi A. Zadeh
86
Voted
ISIPTA
2003
IEEE
117views Mathematics» more  ISIPTA 2003»
15 years 2 months ago
Independence with Respect to Upper and Lower Conditional Probabilities Assigned by Hausdorff Outer and Inner Measures
Upper and lower conditional probabilities assigned by Hausdorff outer and inner measures are given; they are natural extensions to the class of all subsets of Ω=[0,1] of finite...
Serena Doria