# Markov chain Monte Carlo algorithms for Gaussian processes

Michalis K. Titsias, University of Athens
Magnus Rattray, University of Manchester
Neil D. Lawrence, University of Sheffield

Chapter 14 in Bayesian Time Series Models

#### Abstract

’What’s going to happen next?’ Time series data hold the answers, and Bayesian methods represent the cutting edge in learning what they have to say. This ambitious book is the first unified treatment of the emerging knowledge-base in Bayesian time series techniques. Exploiting the unifying framework of probabilistic graphical models, the book covers approximation schemes, both Monte Carlo and deterministic, and introduces switching, multi-object, non-parametric and agent-based models in a variety of application environments. It demonstrates that the basic framework supports the rapid creation of models tailored to specific applications and gives insight into the computational complexity of their implementation. The authors span traditional disciplines such as statistics and engineering and the more recently established areas of machine learning and pattern recognition. Readers with a basic understanding of applied probability, but no experience with time series analysis, are guided from fundamental concepts to the state-of-the-art in research and practice.

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 %T Markov chain Monte Carlo algorithms for Gaussian processes %A Michalis K. Titsias and Magnus Rattray and Neil D. Lawrence %B %C Bayesian Time Series Models %D %E David Barber and A. Taylan Cemgil and Silvia Chiappa %F titsias-mcmcgp11 %I Cambridge University Press %P -- %R %U http://inverseprobability.com/publications/titsias-mcmcgp11.html %X ’What’s going to happen next?’ Time series data hold the answers, and Bayesian methods represent the cutting edge in learning what they have to say. This ambitious book is the first unified treatment of the emerging knowledge-base in Bayesian time series techniques. Exploiting the unifying framework of probabilistic graphical models, the book covers approximation schemes, both Monte Carlo and deterministic, and introduces switching, multi-object, non-parametric and agent-based models in a variety of application environments. It demonstrates that the basic framework supports the rapid creation of models tailored to specific applications and gives insight into the computational complexity of their implementation. The authors span traditional disciplines such as statistics and engineering and the more recently established areas of machine learning and pattern recognition. Readers with a basic understanding of applied probability, but no experience with time series analysis, are guided from fundamental concepts to the state-of-the-art in research and practice. 
 TY - CPAPER TI - Markov chain Monte Carlo algorithms for Gaussian processes AU - Michalis K. Titsias AU - Magnus Rattray AU - Neil D. Lawrence BT - Bayesian Time Series Models PY - 2011/01/01 DA - 2011/01/01 ED - David Barber ED - A. Taylan Cemgil ED - Silvia Chiappa ID - titsias-mcmcgp11 PB - Cambridge University Press SP - EP - UR - http://inverseprobability.com/publications/titsias-mcmcgp11.html AB - ’What’s going to happen next?’ Time series data hold the answers, and Bayesian methods represent the cutting edge in learning what they have to say. This ambitious book is the first unified treatment of the emerging knowledge-base in Bayesian time series techniques. Exploiting the unifying framework of probabilistic graphical models, the book covers approximation schemes, both Monte Carlo and deterministic, and introduces switching, multi-object, non-parametric and agent-based models in a variety of application environments. It demonstrates that the basic framework supports the rapid creation of models tailored to specific applications and gives insight into the computational complexity of their implementation. The authors span traditional disciplines such as statistics and engineering and the more recently established areas of machine learning and pattern recognition. Readers with a basic understanding of applied probability, but no experience with time series analysis, are guided from fundamental concepts to the state-of-the-art in research and practice. ER - 
 Titsias, M.K., Rattray, M. & Lawrence, N.D.. (2011). Markov chain Monte Carlo algorithms for Gaussian processes. Bayesian Time Series Models :-