Abstract: Data drawn from an observed system is often usefully described by a number of hidden (or latent) factors. Given a sequence of observations, the task is to infer which latent factors are active at each time frame. In this talk I will describe the application of a switching linear dynamical model to monitoring the condition of a patient receiving intensive care. The state of health of a patient cannot be observed directly, but different underlying factors are associated with particular patterns of measurements, e.g. in the heart rate, blood pressure and temperature. I will describe two recent developments for this framework: 1) A Hierarchical Switching Linear Dynamical System (HSLDS) has been developed for the detection of sepsis in neonates in an intensive care unit (ICU). This adds a higher-level discrete switch variable with semantics sepsis/non-sepsis above the factors in the Factorial Switching LDS (FSLDS) of Quinn et al. (2009). 2) The FSLDS is a generative model for the observations. We present a Discriminative Switching Linear Dynamical System (DSLDS) applied to patient monitoring in ICUs. Our approach is based on identifying the state-of-health of a patient given their observed vital signs using a discriminative classifier, and then inferring their underlying physiological values conditioned on this status. We demonstrate on two real-world datasets that the DSLDS is able to outperform the FSLDS in most cases of interest, and that a combination of the two models achieves higher performance than either of the two models separately. Joint work with Yvonne Freer, Konstantinos Georgatzis, Ioan Stanculescu Speaker Bio: Chris Williams is Professor of Machine Learning in the School of Informatics, University of Edinburgh. He is interested in a wide range of theoretical and practical issues in machine learning, statistical pattern recognition, probabilistic graphical models and computer vision. This includes theoretical foundations, the development of new models and algorithms, and applications. His main areas of research are in visual object recognition and image understanding, models for understanding time-series, unsupervised learning, and Gaussian processes. He obtained his MSc (1990) and PhD (1994) at the University of Toronto, under the supervision of Geoff Hinton. He was a member of the Neural Computing Research Group at Aston University from 1994 to 1998, and has been at the University of Edinburgh since 1998. He was program co-chair of NIPS in 2009, and is on the editorial boards of the Journal of Machine Learning Research and Proceedings of the Royal Society A. http://homepages.inf.ed.ac.uk/ckiw/ |