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# Overlapping Mixtures of Gaussian Processes for the Data Association Problem

Miguel Lázaro Gredilla, Steven Van Vaerenbergh, Neil D. Lawrence, 10(4), 2011.

#### Abstract

In this work we introduce a mixture of GPs to address the data association problem, i.e., to label a group of observations according to the sources that generated them. Unlike several previously proposed GP mixtures, the novel mixture has the distinct characteristic of using no gating function to determine the association of samples and mixture components. Instead, all the GPs in the mixture are global and samples are clustered following “trajectories” across input space. We use a non-standard variational Bayesian algorithm to efficiently recover sample labels and learn the hyperparameters. We show how multi-object tracking problems can be disambiguated and also explore the characteristics of the model in traditional regression settings.

#### Cite this Paper

BibTeX

```
@InProceedings{pmlr-v-lazaro-overlapping11,
title = {Overlapping Mixtures of Gaussian Processes for the Data Association Problem},
author = {Miguel Lázaro Gredilla and Steven Van Vaerenbergh and Neil D. Lawrence},
year = {},
editor = {},
volume = {10},
number = {4},
url = {http://inverseprobability.com/publications/lazaro-overlapping11.html},
abstract = {In this work we introduce a mixture of GPs to address the data association problem, i.e., to label a group of observations according to the sources that generated them. Unlike several previously proposed GP mixtures, the novel mixture has the distinct characteristic of using no gating function to determine the association of samples and mixture components. Instead, all the GPs in the mixture are global and samples are clustered following “trajectories” across input space. We use a non-standard variational Bayesian algorithm to efficiently recover sample labels and learn the hyperparameters. We show how multi-object tracking problems can be disambiguated and also explore the characteristics of the model in traditional regression settings.}
}
```

Endnote

```
%0 Conference Paper
%T Overlapping Mixtures of Gaussian Processes for the Data Association Problem
%A Miguel Lázaro Gredilla
%A Steven Van Vaerenbergh
%A Neil D. Lawrence
%B
%C Proceedings of Machine Learning Research
%D
%E
%F pmlr-v-lazaro-overlapping11
%I PMLR
%J Proceedings of Machine Learning Research
%P --
%R 10.1016/j.patcog.2011.10.004
%U http://inverseprobability.com
%V
%N 4
%W PMLR
%X In this work we introduce a mixture of GPs to address the data association problem, i.e., to label a group of observations according to the sources that generated them. Unlike several previously proposed GP mixtures, the novel mixture has the distinct characteristic of using no gating function to determine the association of samples and mixture components. Instead, all the GPs in the mixture are global and samples are clustered following “trajectories” across input space. We use a non-standard variational Bayesian algorithm to efficiently recover sample labels and learn the hyperparameters. We show how multi-object tracking problems can be disambiguated and also explore the characteristics of the model in traditional regression settings.
```

RIS

```
TY - CPAPER
TI - Overlapping Mixtures of Gaussian Processes for the Data Association Problem
AU - Miguel Lázaro Gredilla
AU - Steven Van Vaerenbergh
AU - Neil D. Lawrence
BT -
PY -
DA -
ED -
ID - pmlr-v-lazaro-overlapping11
PB - PMLR
SP -
DP - PMLR
EP -
DO - 10.1016/j.patcog.2011.10.004
L1 -
UR - http://inverseprobability.com/publications/lazaro-overlapping11.html
AB - In this work we introduce a mixture of GPs to address the data association problem, i.e., to label a group of observations according to the sources that generated them. Unlike several previously proposed GP mixtures, the novel mixture has the distinct characteristic of using no gating function to determine the association of samples and mixture components. Instead, all the GPs in the mixture are global and samples are clustered following “trajectories” across input space. We use a non-standard variational Bayesian algorithm to efficiently recover sample labels and learn the hyperparameters. We show how multi-object tracking problems can be disambiguated and also explore the characteristics of the model in traditional regression settings.
ER -
```

APA

`Lázaro Gredilla, M., Van Vaerenbergh, S. & Lawrence, N.D.. (). Overlapping Mixtures of Gaussian Processes for the Data Association Problem. `*, in PMLR* (4):-

#### Related Material

BibTeX

```
@InProceedings{/lazaro-overlapping11,
title = {Overlapping Mixtures of Gaussian Processes for the Data Association Problem},
author = {Miguel Lázaro Gredilla and Steven Van Vaerenbergh and Neil D. Lawrence},
year = {},
editor = {},
volume = {10},
number = {4},
url = {http://inverseprobability.com/publications/lazaro-overlapping11.html},
abstract = {In this work we introduce a mixture of GPs to address the data association problem, i.e., to label a group of observations according to the sources that generated them. Unlike several previously proposed GP mixtures, the novel mixture has the distinct characteristic of using no gating function to determine the association of samples and mixture components. Instead, all the GPs in the mixture are global and samples are clustered following “trajectories” across input space. We use a non-standard variational Bayesian algorithm to efficiently recover sample labels and learn the hyperparameters. We show how multi-object tracking problems can be disambiguated and also explore the characteristics of the model in traditional regression settings.}
}
```

Endnote

```
%0 Conference Paper
%T Overlapping Mixtures of Gaussian Processes for the Data Association Problem
%A Miguel Lázaro Gredilla
%A Steven Van Vaerenbergh
%A Neil D. Lawrence
%B
%C Proceedings of Machine Learning Research
%D
%E
%F /lazaro-overlapping11
%I PMLR
%J Proceedings of Machine Learning Research
%P --
%R 10.1016/j.patcog.2011.10.004
%U http://inverseprobability.com
%V
%N 4
%W PMLR
%X In this work we introduce a mixture of GPs to address the data association problem, i.e., to label a group of observations according to the sources that generated them. Unlike several previously proposed GP mixtures, the novel mixture has the distinct characteristic of using no gating function to determine the association of samples and mixture components. Instead, all the GPs in the mixture are global and samples are clustered following “trajectories” across input space. We use a non-standard variational Bayesian algorithm to efficiently recover sample labels and learn the hyperparameters. We show how multi-object tracking problems can be disambiguated and also explore the characteristics of the model in traditional regression settings.
```

RIS

```
TY - CPAPER
TI - Overlapping Mixtures of Gaussian Processes for the Data Association Problem
AU - Miguel Lázaro Gredilla
AU - Steven Van Vaerenbergh
AU - Neil D. Lawrence
BT -
PY -
DA -
ED -
ID - /lazaro-overlapping11
PB - PMLR
SP -
DP - PMLR
EP -
DO - 10.1016/j.patcog.2011.10.004
L1 -
UR - http://inverseprobability.com/publications/lazaro-overlapping11.html
AB - In this work we introduce a mixture of GPs to address the data association problem, i.e., to label a group of observations according to the sources that generated them. Unlike several previously proposed GP mixtures, the novel mixture has the distinct characteristic of using no gating function to determine the association of samples and mixture components. Instead, all the GPs in the mixture are global and samples are clustered following “trajectories” across input space. We use a non-standard variational Bayesian algorithm to efficiently recover sample labels and learn the hyperparameters. We show how multi-object tracking problems can be disambiguated and also explore the characteristics of the model in traditional regression settings.
ER -
```

APA

`Lázaro Gredilla, M., Van Vaerenbergh, S. & Lawrence, N.D.. (). Overlapping Mixtures of Gaussian Processes for the Data Association Problem. `*, in PMLR* (4):-