|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Learning of Milky Way Model Parameters Using Matrix-variate Data in a New Gaussian Process-based Method
If you have a question about this talk, please contact Zoubin Ghahramani.
In this talk I will discuss a new Bayesian non-parametric method of predicting the value of the model parameter vector that supports real observed data, where this measured information is in the form of a matrix. The information is then expressed as an unknown, matrix-variate function of the model parameter vector and this unknown function is modelled using a high-dimensional Gaussian Process. The model is trained on a training data set that is generated (via simulations) at a chosen design set. In fact, in our treatment of the information as a vector of corresponding dimensions, this function is modelled as a vector-variate Gaussian Process leading to the likelihood being matrix-normal in nature, with mean and covariance matrices suggested by the structure of the Gaussian Process in question. In an effort to learn selected process parameters (such as the smoothness parameters) from the data, in addition to the unknown model parameter vector value that supports the real data, we write their joint posterior probability, given training as well as observed data. Inference is performed using Transformation-based MCMC . An application of this method is made to learn feature parameters of the Milky Way, using measured and simulated data of velocity vectors of stars that live in the vicinity of the Sun. Learning of the Galactic parameters with the real data is shown to produce a similar result to a comparator method that requires a much larger data set, in order to accomplish estimation.
This talk is part of the Machine Learning @ CUED series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsHumanitas Visiting Professor in Vocal Music 2015: Sir John Tomlinson Cambridge Environment Type the title of a new list here
Other talksPlay & Current Neuroscience Research - Dr Lindsey Russo Can Layout and Engraving Rules Affect the Readability of Musical Scores? Scott Lecture II - These are a few of my favorite Things: Wild geese that fly with the moon on their wings. "Hijacking of NMDA receptor signalling by tumors" Testing gravity using astrophysics “‘Enough with excuses!”: The Brussels and Paris attacks and the dilemmas of public anthropology’