Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
A revolution: belief propagation in graphs with cycles
NIPS '97 Proceedings of the 1997 conference on Advances in neural information processing systems 10
International Journal of Computer Vision - Special issue on statistical and computational theories of vision: modeling, learning, sampling and computing, Part I
Finding Deformable Shapes Using Loopy Belief Propagation
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part III
Hybrid Propagation in Junction Trees
IPMU'94 Selected papers from the 5th International Conference on Processing and Management of Uncertainty in Knowledge-Based Systems, Advances in Intelligent Computing
Understanding belief propagation and its generalizations
Exploring artificial intelligence in the new millennium
Pictorial Structures for Object Recognition
International Journal of Computer Vision
Visual Hand Tracking Using Nonparametric Belief Propagation
CVPRW '04 Proceedings of the 2004 Conference on Computer Vision and Pattern Recognition Workshop (CVPRW'04) Volume 12 - Volume 12
On the uniqueness of loopy belief propagation fixed points
Neural Computation
Loopy Belief Propagation: Convergence and Effects of Message Errors
The Journal of Machine Learning Research
Efficient Nonparametric Belief Propagation with Application to Articulated Body Tracking
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
A survey of advances in vision-based human motion capture and analysis
Computer Vision and Image Understanding - Special issue on modeling people: Vision-based understanding of a person's shape, appearance, movement, and behaviour
Dynamic quantization for belief propagation in sparse spaces
Computer Vision and Image Understanding
Inference in hybrid Bayesian networks using dynamic discretization
Statistics and Computing
Learning-based nonparametric image super-resolution
EURASIP Journal on Applied Signal Processing
Graphical Models, Exponential Families, and Variational Inference
Foundations and Trends® in Machine Learning
Bayesian compressive sensing via belief propagation
IEEE Transactions on Signal Processing
Nonparametric belief propagation
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
PAMPAS: real-valued graphical models for computer vision
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
A general algorithm for approximate inference and its application to hybrid bayes nets
UAI'99 Proceedings of the Fifteenth conference on Uncertainty in artificial intelligence
Implementation of continuous Bayesian networks using sums of weighted Gaussians
UAI'95 Proceedings of the Eleventh conference on Uncertainty in artificial intelligence
Factor graphs and the sum-product algorithm
IEEE Transactions on Information Theory
Constructing free-energy approximations and generalized belief propagation algorithms
IEEE Transactions on Information Theory
Sufficient Conditions for Convergence of the Sum–Product Algorithm
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Nonparametric belief propagation for self-localization of sensor networks
IEEE Journal on Selected Areas in Communications
Learning the Dynamics and Time-Recursive Boundary Detection of Deformable Objects
IEEE Transactions on Image Processing
Tracking People by Learning Their Appearance
IEEE Transactions on Pattern Analysis and Machine Intelligence
PAMPAS: real-valued graphical models for computer vision
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
A comparison study of inferences on graphical model for registering surface model to 3D image
MLMI'11 Proceedings of the Second international conference on Machine learning in medical imaging
SUM'11 Proceedings of the 5th international conference on Scalable uncertainty management
Tracking dynamic near-regular texture under occlusion and rapid movements
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
A probabilistic graphical model approach to stochastic multiscale partial differential equations
Journal of Computational Physics
Journal of Computational Physics
Computer Vision and Image Understanding
The Journal of Machine Learning Research
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Continuous quantities are ubiquitous in models of real-world phenomena, but are surprisingly difficult to reason about automatically. Probabilistic graphical models such as Bayesian networks and Markov random fields, and algorithms for approximate inference such as belief propagation (BP), have proven to be powerful tools in a wide range of applications in statistics and artificial intelligence. However, applying these methods to models with continuous variables remains a challenging task. In this work we describe an extension of BP to continuous variable models, generalizing particle filtering, and Gaussian mixture filtering techniques for time series to more complex models. We illustrate the power of the resulting nonparametric BP algorithm via two applications: kinematic tracking of visual motion and distributed localization in sensor networks.