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NIPS
2004
15 years 5 months ago
Variational Minimax Estimation of Discrete Distributions under KL Loss
We develop a family of upper and lower bounds on the worst-case expected KL loss for estimating a discrete distribution on a finite number m of points, given N i.i.d. samples. Our...
Liam Paninski
LATA
2009
Springer
15 years 11 months ago
A Series of Run-Rich Strings
We present a new series of run-rich strings, and give a new lower bound 0.94457567 of the maximum number of runs in a string. We also introduce the general conjecture about a asymp...
Wataru Matsubara, Kazuhiko Kusano, Hideo Bannai, A...
FLAIRS
1998
15 years 5 months ago
Propagating Probabilities in System P
In this paper wesuggest a wayof using the rules of System P to propagate lower bounds on conditional probabilities. Usinga knowledgebase of default rules whichart, consideredto be...
Rachel A. Bourne, Simon Parsons
COMBINATORICS
2006
105views more  COMBINATORICS 2006»
15 years 4 months ago
Sets of Points Determining Only Acute Angles and Some Related Colouring Problems
We present both probabilistic and constructive lower bounds on the maximum size of a set of points S Rd such that every angle determined by three points in S is acute, considerin...
David Bevan
EJC
2007
15 years 4 months ago
On the number of Tverberg partitions in the prime power case
We give an extension of the lower bound of [9] for the number of Tverberg partitions from the prime to the prime power case. Our proof is inspired by the Zp-index version of the p...
Stephan Hell