JMLR
2012
11 years 7 months ago
2012
One approach to modeling structured discrete data is to describe the probability of states via an energy function and Gibbs distribution. A recurring difficulty in these models is...
JMLR
2012
11 years 7 months ago
2012
The development of accurate models and efficient algorithms for the analysis of multivariate categorical data are important and longstanding problems in machine learning and compu...
CORR
2012
Springer
12 years 8 days ago
2012
Springer
The key limiting factor in graphical model inference and learning is the complexity of the partition function. We thus ask the question: what are the most general conditions under...
CORR
2011
Springer
12 years 11 months ago
2011
Springer
—One of the most common types of functions in mathematics, physics, and engineering is a sum of products, sometimes called a partition function. After “normalization,” a sum ...
TIP
2008
13 years 4 months ago
2008
This paper proposes a non-Gaussian Markov field with a special feature: an explicit partition function. To the best of our knowledge, this is an original contribution. Moreover, th...
EJC
2007
13 years 4 months ago
2007
We prove that the translation plane and the shift plane defined by a planar partition function form an oval pair of projective planes in the sense that the planes share a line pe...
GCB
2005
Springer
13 years 10 months ago
2005
Springer
We present an extension of the standard partition function approach to RNA secondary structures that computes the probabilities Pu[i, j] that a sequence interval [i, j] is unpaired...
FOCS
2007
IEEE
13 years 11 months ago
2007
IEEE
We present a near-optimal reduction from approximately counting the cardinality of a discrete set to approximately sampling elements of the set. An important application of our wo...