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» A Probabilistic Upper Bound on Differential Entropy
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TIT
2008
61views more  TIT 2008»
13 years 4 months ago
A Probabilistic Upper Bound on Differential Entropy
A novel, non-trivial, probabilistic upper bound on the entropy of an unknown one-dimensional distribution, given the support of the distribution and a sample from that distribution...
Erik G. Learned-Miller, Joseph DeStefano
CORR
2011
Springer
144views Education» more  CORR 2011»
12 years 12 months ago
On Properties of the Minimum Entropy Sub-tree to Compute Lower Bounds on the Partition Function
— Computing the partition function and the marginals of a global probability distribution are two important issues in any probabilistic inference problem. In a previous work, we ...
Mehdi Molkaraie, Payam Pakzad
CORR
2010
Springer
130views Education» more  CORR 2010»
13 years 5 months ago
Sharp Bounds on the Entropy of the Poisson Law and Related Quantities
One of the difficulties in calculating the capacity of certain Poisson channels is that H(), the entropy of the Poisson distribution with mean , is not available in a simple form. ...
José A. Adell, Alberto Lekuona, Yaming Yu
JC
2006
105views more  JC 2006»
13 years 4 months ago
On the complexity of the resolvent representation of some prime differential ideals
We prove upper bounds on the order and degree of the polynomials involved in a resolvent representation of the prime differential ideal associated with a polynomial differential s...
Lisi D'Alfonso, Gabriela Jeronimo, Pablo Solern&oa...
NIPS
2007
13 years 6 months ago
New Outer Bounds on the Marginal Polytope
We give a new class of outer bounds on the marginal polytope, and propose a cutting-plane algorithm for efficiently optimizing over these constraints. When combined with a concav...
David Sontag, Tommi Jaakkola