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CADE
2007
Springer
14 years 5 months ago
Formalization of Continuous Probability Distributions
Continuous probability distributions are widely used to mathematically describe random phenomena in engineering and physical sciences. In this paper, we present a methodology that ...
Osman Hasan, Sofiène Tahar
ECSQARU
2003
Springer
13 years 10 months ago
A Representation Theorem and Applications
We introduce a set of transformations on the set of all probability distributions over a finite state space, and show that these transformations are the only ones that preserve c...
Manfred Jaeger
IJCAI
1997
13 years 6 months ago
A Symmetric View of Utilities and Probabilities
Motivated by the need to reason about utilities, and inspired by the success of bayesian networks in representing and reasoning about probabilities, we introduce the notion of uti...
Yoav Shoham
POPL
2012
ACM
12 years 12 days ago
A type theory for probability density functions
There has been great interest in creating probabilistic programming languages to simplify the coding of statistical tasks; however, there still does not exist a formal language th...
Sooraj Bhat, Ashish Agarwal, Richard W. Vuduc, Ale...
POPL
2002
ACM
14 years 5 months ago
Stochastic lambda calculus and monads of probability distributions
Probability distributions are useful for expressing the meanings of probabilistic languages, which support formal modeling of and reasoning about uncertainty. Probability distribu...
Norman Ramsey, Avi Pfeffer