155views more  JMLR 2010»
8 years 10 months ago
Bayesian Gaussian Process Latent Variable Model
We introduce a variational inference framework for training the Gaussian process latent variable model and thus performing Bayesian nonlinear dimensionality reduction. This method...
Michalis Titsias, Neil D. Lawrence
125views more  JMLR 2010»
8 years 10 months ago
Regret Bounds for Gaussian Process Bandit Problems
Bandit algorithms are concerned with trading exploration with exploitation where a number of options are available but we can only learn their quality by experimenting with them. ...
Steffen Grünewälder, Jean-Yves Audibert,...
173views more  JMLR 2010»
8 years 10 months ago
Elliptical slice sampling
Many probabilistic models introduce strong dependencies between variables using a latent multivariate Gaussian distribution or a Gaussian process. We present a new Markov chain Mo...
Iain Murray, Ryan Prescott Adams, David J. C. MacK...
8 years 11 months ago
Learning GP-BayesFilters via Gaussian process latent variable models
Abstract— GP-BayesFilters are a general framework for integrating Gaussian process prediction and observation models into Bayesian filtering techniques, including particle filt...
Jonathan Ko, Dieter Fox
9 years 1 months ago
Learning Gaussian Process Models from Uncertain Data
It is generally assumed in the traditional formulation of supervised learning that only the outputs data are uncertain. However, this assumption might be too strong for some learni...
Patrick Dallaire, Camille Besse, Brahim Chaib-draa
166views Data Mining» more  ICDM 2010»
9 years 1 months ago
Exponential Family Tensor Factorization for Missing-Values Prediction and Anomaly Detection
In this paper, we study probabilistic modeling of heterogeneously attributed multi-dimensional arrays. The model can manage the heterogeneity by employing an individual exponential...
Kohei Hayashi, Takashi Takenouchi, Tomohiro Shibat...
90views more  JMS 2010»
9 years 2 months ago
Prediction of Clinical Conditions after Coronary Bypass Surgery using Dynamic Data Analysis
This work studies the impact of using dynamic information as features in a machine learning algorithm for the prediction task of classifying critically ill patients in two classes ...
Kristien Van Loon, Fabián Güiza, Geert...
86views more  NECO 2000»
9 years 3 months ago
A Bayesian Committee Machine
The Bayesian committee machine (BCM) is a novel approach to combining estimators which were trained on different data sets. Although the BCM can be applied to the combination of a...
Volker Tresp
86views more  JAT 2007»
9 years 3 months ago
Gaussian averages of interpolated bodies and applications to approximate reconstruction
We prove sharp bounds for the expectation of the supremum of the Gaussian process indexed by the intersection of Bn p with ρBn q for 1 ≤ p, q ≤ ∞ and ρ > 0, and by the ...
Y. Gordon, A. E. Litvak, Shahar Mendelson, A. Pajo...
147views more  PAMI 2006»
9 years 3 months ago
Bayesian Gaussian Process Classification with the EM-EP Algorithm
Gaussian process classifiers (GPCs) are Bayesian probabilistic kernel classifiers. In GPCs, the probability of belonging to a certain class at an input location is monotonically re...
Hyun-Chul Kim, Zoubin Ghahramani