Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
Scatter/Gather: a cluster-based approach to browsing large document collections
SIGIR '92 Proceedings of the 15th annual international ACM SIGIR conference on Research and development in information retrieval
Factorial Hidden Markov Models
Machine Learning - Special issue on learning with probabilistic representations
Fast training of support vector machines using sequential minimal optimization
Advances in kernel methods
Exploiting generative models in discriminative classifiers
Proceedings of the 1998 conference on Advances in neural information processing systems II
Learning with Kernels: Support Vector Machines, Regularization, Optimization, and Beyond
Learning with Kernels: Support Vector Machines, Regularization, Optimization, and Beyond
Composite Kernels for Hypertext Categorisation
ICML '01 Proceedings of the Eighteenth International Conference on Machine Learning
Learning with non-positive kernels
ICML '04 Proceedings of the twenty-first international conference on Machine learning
Input-output HMMs for sequence processing
IEEE Transactions on Neural Networks
Text classification with kernels on the multinomial manifold
Proceedings of the 28th annual international ACM SIGIR conference on Research and development in information retrieval
Weighted decomposition kernels
ICML '05 Proceedings of the 22nd international conference on Machine learning
Extracting key-substring-group features for text classification
Proceedings of the 12th ACM SIGKDD international conference on Knowledge discovery and data mining
Invariances in kernel methods: From samples to objects
Pattern Recognition Letters
Proceedings of the 24th international conference on Machine learning
ACM Transactions on Multimedia Computing, Communications, and Applications (TOMCCAP)
Independent factor discriminant analysis
Computational Statistics & Data Analysis
Proceedings of the 25th international conference on Machine learning
Tailoring density estimation via reproducing kernel moment matching
Proceedings of the 25th international conference on Machine learning
An efficient kernel matrix evaluation measure
Pattern Recognition
Generative Kernels for Gene Function Prediction Through Probabilistic Tree Models of Evolution
WILF '07 Proceedings of the 7th international workshop on Fuzzy Logic and Applications: Applications of Fuzzy Sets Theory
c-Means Clustering on the Multinomial Manifold
MDAI '07 Proceedings of the 4th international conference on Modeling Decisions for Artificial Intelligence
Spectral Clustering and Embedding with Hidden Markov Models
ECML '07 Proceedings of the 18th European conference on Machine Learning
Online Manifold Regularization: A New Learning Setting and Empirical Study
ECML PKDD '08 Proceedings of the 2008 European Conference on Machine Learning and Knowledge Discovery in Databases - Part I
Kernel-Based Text Classification on Statistical Manifold
ISNN '08 Proceedings of the 5th international symposium on Neural Networks: Advances in Neural Networks
Modeling adaptive kernels from probabilistic phylogenetic trees
Artificial Intelligence in Medicine
Combining link and content for community detection: a discriminative approach
Proceedings of the 15th ACM SIGKDD international conference on Knowledge discovery and data mining
Combining audio content and social context for semantic music discovery
Proceedings of the 32nd international ACM SIGIR conference on Research and development in information retrieval
Multiple Classifier Combination for Hyperspectral Remote Sensing Image Classification
MCS '09 Proceedings of the 8th International Workshop on Multiple Classifier Systems
Robust Word Similarity Estimation Using Perturbation Kernels
ICTIR '09 Proceedings of the 2nd International Conference on Theory of Information Retrieval: Advances in Information Retrieval Theory
IPMI '09 Proceedings of the 21st International Conference on Information Processing in Medical Imaging
Clustering-Based Construction of Hidden Markov Models for Generative Kernels
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
A Fast BMU Search for Support Vector Machine
ICANN '09 Proceedings of the 19th International Conference on Artificial Neural Networks: Part I
Image Denoising with Kernels Based on Natural Image Relations
The Journal of Machine Learning Research
Unsupervised transfer classification: application to text categorization
Proceedings of the 16th ACM SIGKDD international conference on Knowledge discovery and data mining
A kernel-based graphical model for diffusion tensor registration
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
Audio-based semantic concept classification for consumer video
IEEE Transactions on Audio, Speech, and Language Processing
Mixture model label propagation
CIKM '10 Proceedings of the 19th ACM international conference on Information and knowledge management
Information theoretical Kernels for generative embeddings based on hidden Markov models
SSPR&SPR'10 Proceedings of the 2010 joint IAPR international conference on Structural, syntactic, and statistical pattern recognition
Clifford support vector machines for classification, regression, and recurrence
IEEE Transactions on Neural Networks
Learning Multi-modal Similarity
The Journal of Machine Learning Research
Graph clustering using the Jensen-Shannon Kernel
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I
Diverse retrieval via greedy optimization of expected 1-call@k in a latent subtopic relevance model
Proceedings of the 20th ACM international conference on Information and knowledge management
About implicit and explicit shape representation
Reasoning, Action and Interaction in AI Theories and Systems
Parallelized kernel patch clustering
ANNPR'10 Proceedings of the 4th IAPR TC3 conference on Artificial Neural Networks in Pattern Recognition
A kernel between unordered sets of data: the Gaussian mixture approach
ECML'05 Proceedings of the 16th European conference on Machine Learning
A hidden Markov model variant for sequence classification
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
Generalized latent factor models for social network analysis
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
Automatic speaker age and gender recognition using acoustic and prosodic level information fusion
Computer Speech and Language
Probabilistic support vector machines for classification of noise affected data
Information Sciences: an International Journal
Deriving kernels from generalized Dirichlet mixture models and applications
Information Processing and Management: an International Journal
Large margin mixture of AR models for time series classification
Applied Soft Computing
Efficient graph kernels by randomization
ECML PKDD'12 Proceedings of the 2012 European conference on Machine Learning and Knowledge Discovery in Databases - Volume Part I
A generative multiset kernel for structured data
ICANN'12 Proceedings of the 22nd international conference on Artificial Neural Networks and Machine Learning - Volume Part I
Model-based kernel for efficient time series analysis
Proceedings of the 19th ACM SIGKDD international conference on Knowledge discovery and data mining
Graph Kernels from the Jensen-Shannon Divergence
Journal of Mathematical Imaging and Vision
Exploiting geometry in counting grids
SIMBAD'13 Proceedings of the Second international conference on Similarity-Based Pattern Recognition
Robust Bayesian fitting of 3D morphable model
Proceedings of the 10th European Conference on Visual Media Production
Gaussian Processes for POMDP-Based Dialogue Manager Optimization
IEEE/ACM Transactions on Audio, Speech and Language Processing (TASLP)
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The advantages of discriminative learning algorithms and kernel machines are combined with generative modeling using a novel kernel between distributions. In the probability product kernel, data points in the input space are mapped to distributions over the sample space and a general inner product is then evaluated as the integral of the product of pairs of distributions. The kernel is straightforward to evaluate for all exponential family models such as multinomials and Gaussians and yields interesting nonlinear kernels. Furthermore, the kernel is computable in closed form for latent distributions such as mixture models, hidden Markov models and linear dynamical systems. For intractable models, such as switching linear dynamical systems, structured mean-field approximations can be brought to bear on the kernel evaluation. For general distributions, even if an analytic expression for the kernel is not feasible, we show a straightforward sampling method to evaluate it. Thus, the kernel permits discriminative learning methods, including support vector machines, to exploit the properties, metrics and invariances of the generative models we infer from each datum. Experiments are shown using multinomial models for text, hidden Markov models for biological data sets and linear dynamical systems for time series data.