In this talk, we review some recents results on nonparametric HMMs. We present and discuss the performances of the spectral estimator and the empirical least squares estimator in the nonparametric framework. In particular, this latter achieves minimax adaptive estimation of the emission laws (i.e. the conditional marginal distributions of the observations given the hidden states).
(with É. Gassiat & C. Lacour) Minimax adaptive estimation of non-parametric Hidden Markov Models, Journal of Machine Learning Research, Volume 17, Issue 111, 2016, Pages 1-43.
(with É. Gassiat & S. Le Corff) Consistent estimation of the filtering and marginal smoothing distributions in nonparametric hidden Markov models
- Speaker: Yohann de Castro (Paris Sud – Orsay)
- Friday 21 October 2016, 16:00–17:00
- Venue: MR12, Centre for Mathematical Sciences, Wilberforce Road, Cambridge..
- Series: Statistics; organiser: Quentin Berthet.