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NIPS
2008
13 years 11 months ago
Counting Solution Clusters in Graph Coloring Problems Using Belief Propagation
We show that an important and computationally challenging solution space feature of the graph coloring problem (COL), namely the number of clusters of solutions, can be accurately...
Lukas Kroc, Ashish Sabharwal, Bart Selman
NIPS
2008
13 years 11 months ago
Mind the Duality Gap: Logarithmic regret algorithms for online optimization
We describe a primal-dual framework for the design and analysis of online strongly convex optimization algorithms. Our framework yields the tightest known logarithmic regret bound...
Shai Shalev-Shwartz, Sham M. Kakade
NIPS
2008
13 years 11 months ago
Continuously-adaptive discretization for message-passing algorithms
Continuously-Adaptive Discretization for Message-Passing (CAD-MP) is a new message-passing algorithm for approximate inference. Most message-passing algorithms approximate continu...
Michael Isard, John MacCormick, Kannan Achan
NIPS
2008
13 years 11 months ago
Bayesian Network Score Approximation using a Metagraph Kernel
Many interesting problems, including Bayesian network structure-search, can be cast in terms of finding the optimum value of a function over the space of graphs. However, this fun...
Benjamin Yackley, Eduardo Corona, Terran Lane
NIPS
2008
13 years 11 months ago
Bounds on marginal probability distributions
We propose a novel bound on single-variable marginal probability distributions in factor graphs with discrete variables. The bound is obtained by propagating local bounds (convex ...
Joris M. Mooij, Hilbert J. Kappen