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ENDM
2002
109views more  ENDM 2002»
13 years 4 months ago
Graph Operations and Zipfian Degree Distributions
The probability distribution on a set S = { 1, 2, . . . , n } defined by Pr(k) = 1/(Hnk), where Hn in the nth harmonic number, is commonly called a Zipfian distribution. In this no...
Walter W. Kirchherr
CORR
2000
Springer
91views Education» more  CORR 2000»
13 years 4 months ago
Algorithmic Theories of Everything
The probability distribution P from which the history of our universe is sampled represents a theory of everything or TOE. We assume P is formally describable. Since most (uncount...
Jürgen Schmidhuber
COMBINATORICS
2004
69views more  COMBINATORICS 2004»
13 years 4 months ago
Convergence in Distribution for Subset Counts Between Random Sets
Erdos posed the problem of how many random subsets need to be chosen from a set of n elements, each element appearing in each subset with probability p = 1/2, in order that at lea...
Dudley Stark
IJAR
2007
55views more  IJAR 2007»
13 years 4 months ago
Theoretical analysis and practical insights on importance sampling in Bayesian networks
The AIS-BN algorithm [2] is a successful importance sampling-based algorithm for Bayesian networks that relies on two heuristic methods to obtain an initial importance function: -...
Changhe Yuan, Marek J. Druzdzel
FUIN
2007
85views more  FUIN 2007»
13 years 4 months ago
Entropies and Co-Entropies of Coverings with Application to Incomplete Information Systems
Different generalizations to the case of coverings of the standard approach to entropy applied to partitions of a finite universe X are explored. In the first approach any cover...
Daniela Bianucci, Gianpiero Cattaneo, Davide Ciucc...
CORR
2007
Springer
128views Education» more  CORR 2007»
13 years 4 months ago
Equivalence of LP Relaxation and Max-Product for Weighted Matching in General Graphs
— Max-product belief propagation is a local, iterative algorithm to find the mode/MAP estimate of a probability distribution. While it has been successfully employed in a wide v...
Sujay Sanghavi
IJAR
2006
103views more  IJAR 2006»
13 years 4 months ago
Computing mean and variance under Dempster-Shafer uncertainty: Towards faster algorithms
In many real-life situations, we only have partial information about the actual probability distribution. For example, under Dempster-Shafer uncertainty, we only know the masses m...
Vladik Kreinovich, Gang Xiang, Scott Ferson
IJAR
2006
125views more  IJAR 2006»
13 years 4 months ago
Computing best-possible bounds for the distribution of a sum of several variables is NP-hard
In many real-life situations, we know the probability distribution of two random variables x1 and x2, but we have no information about the correlation between x1 and x2; what are ...
Vladik Kreinovich, Scott Ferson
IPL
2008
79views more  IPL 2008»
13 years 4 months ago
The probability of "undefined" (non-converging) output in generating the universal probability distribution
In order to generate a universal probability distribution to extrapolate a binary string x of length i, we feed random bits into a universal device, M. When we find an input strin...
Ray J. Solomonoff
COMBINATORICS
2006
162views more  COMBINATORICS 2006»
13 years 4 months ago
Bounding the Partition Function of Spin-Systems
With a graph G = (V, E) we associate a collection of non-negative real weights vV {i,v : 1 i m} uvE{ij,uv : 1 i j m}. We consider the probability distribution on {f : V {1,...
David J. Galvin