Discriminative Gaussian Process Latent Variable Model for Classification

Supervised learning is difficult with high dimensional input spacesand very small training sets, but accurate classification may bepossible if the data lie on a low-dimensional manifold. GaussianProcess Latent Variable Models can discover low dimensional manifoldsgiven only a small number of exampl...

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Bibliographic Details
Main Authors: Urtasun, Raquel, Darrell, Trevor
Other Authors: Trevor Darrell
Published: 2007
Subjects:
Online Access:http://hdl.handle.net/1721.1/36901
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author Urtasun, Raquel
Darrell, Trevor
author2 Trevor Darrell
author_facet Trevor Darrell
Urtasun, Raquel
Darrell, Trevor
author_sort Urtasun, Raquel
collection MIT
description Supervised learning is difficult with high dimensional input spacesand very small training sets, but accurate classification may bepossible if the data lie on a low-dimensional manifold. GaussianProcess Latent Variable Models can discover low dimensional manifoldsgiven only a small number of examples, but learn a latent spacewithout regard for class labels. Existing methods for discriminativemanifold learning (e.g., LDA, GDA) do constrain the class distributionin the latent space, but are generally deterministic and may notgeneralize well with limited training data. We introduce a method forGaussian Process Classification using latent variable models trainedwith discriminative priors over the latent space, which can learn adiscriminative latent space from a small training set.
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spelling mit-1721.1/369012019-04-10T09:59:05Z Discriminative Gaussian Process Latent Variable Model for Classification Urtasun, Raquel Darrell, Trevor Trevor Darrell Vision Gaussian Processes Classification Latent Variable Models Machine Learning Supervised learning is difficult with high dimensional input spacesand very small training sets, but accurate classification may bepossible if the data lie on a low-dimensional manifold. GaussianProcess Latent Variable Models can discover low dimensional manifoldsgiven only a small number of examples, but learn a latent spacewithout regard for class labels. Existing methods for discriminativemanifold learning (e.g., LDA, GDA) do constrain the class distributionin the latent space, but are generally deterministic and may notgeneralize well with limited training data. We introduce a method forGaussian Process Classification using latent variable models trainedwith discriminative priors over the latent space, which can learn adiscriminative latent space from a small training set. 2007-03-29T11:21:46Z 2007-03-29T11:21:46Z 2007-03-28 MIT-CSAIL-TR-2007-021 http://hdl.handle.net/1721.1/36901 Massachusetts Institute of Technology Computer Science and Artificial Intelligence Laboratory 8 p. application/postscript application/pdf
spellingShingle Gaussian Processes
Classification
Latent Variable Models
Machine Learning
Urtasun, Raquel
Darrell, Trevor
Discriminative Gaussian Process Latent Variable Model for Classification
title Discriminative Gaussian Process Latent Variable Model for Classification
title_full Discriminative Gaussian Process Latent Variable Model for Classification
title_fullStr Discriminative Gaussian Process Latent Variable Model for Classification
title_full_unstemmed Discriminative Gaussian Process Latent Variable Model for Classification
title_short Discriminative Gaussian Process Latent Variable Model for Classification
title_sort discriminative gaussian process latent variable model for classification
topic Gaussian Processes
Classification
Latent Variable Models
Machine Learning
url http://hdl.handle.net/1721.1/36901
work_keys_str_mv AT urtasunraquel discriminativegaussianprocesslatentvariablemodelforclassification
AT darrelltrevor discriminativegaussianprocesslatentvariablemodelforclassification