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ISIPTA
2005
IEEE
146views Mathematics» more  ISIPTA 2005»
13 years 11 months ago
Arithmetic on Random Variables: Squeezing the Envelopes with New Joint Distribution Constraints
Uncertainty is a key issue in decision analysis and other kinds of applications. Researchers have developed a number of approaches to address computations on uncertain quantities....
Jianzhong Zhang 0004, Daniel Berleant
NIPS
2004
13 years 7 months ago
Exponential Family Harmoniums with an Application to Information Retrieval
Directed graphical models with one layer of observed random variables and one or more layers of hidden random variables have been the dominant modelling paradigm in many research ...
Max Welling, Michal Rosen-Zvi, Geoffrey E. Hinton
RC
2006
88views more  RC 2006»
13 years 5 months ago
Geometric Constructions with Discretized Random Variables
We generalize the DEnv (Distribution envelope determination) method for bounding the result of arithmetic operations on random variables with unknown dependence to higher-dimension...
Hans-Peter Schröcker, Johannes Wallner
FSS
2011
93views more  FSS 2011»
13 years 16 days ago
Upper and lower probabilities induced by a fuzzy random variable
We review two existing interpretations of fuzzy random variables. In the first one, the fuzzy random variable is viewed as a linguistic random variable. In the second case, it re...
Inés Couso, Luciano Sánchez
ISIPTA
2003
IEEE
140views Mathematics» more  ISIPTA 2003»
13 years 10 months ago
A Second-Order Uncertainty Model of Independent Random Variables: An Example of the Stress-Strength Reliability
A second-order hierarchical uncertainty model of a system of independent random variables is studied in the paper. It is shown that the complex nonlinear optimization problem for ...
Lev V. Utkin