Bayesian context trees: Modelling and exact inference for discrete time series
I Kontoyiannis, L Mertzanis… - Journal of the Royal …, 2022 - academic.oup.com
We develop a new Bayesian modelling framework for the class of higher-order, variable-
memory Markov chains, and introduce an associated collection of methodological tools for …
memory Markov chains, and introduce an associated collection of methodological tools for …
[HTML][HTML] Consistent estimation of partition Markov models
JE García, VA González-López - Entropy, 2017 - mdpi.com
The Partition Markov Model characterizes the process by a partition L of the state space,
where the elements in each part of L share the same transition probability to an arbitrary …
where the elements in each part of L share the same transition probability to an arbitrary …
[HTML][HTML] Thermodynamic formalism in neuronal dynamics and spike train statistics
The Thermodynamic Formalism provides a rigorous mathematical framework for studying
quantitative and qualitative aspects of dynamical systems. At its core, there is a variational …
quantitative and qualitative aspects of dynamical systems. At its core, there is a variational …
Informational confidence bounds for self-normalized averages and applications
A Garivier - 2013 IEEE Information Theory Workshop (ITW), 2013 - ieeexplore.ieee.org
We present deviation bounds for self-normalized averages and applications to estimation
with a random number of observations. The results rely on a peeling argument in …
with a random number of observations. The results rely on a peeling argument in …
[HTML][HTML] Context tree selection: A unifying view
A Garivier, F Leonardi - Stochastic processes and their applications, 2011 - Elsevier
Context tree models have been introduced by Rissanen in [25] as a parsimonious
generalization of Markov models. Since then, they have been widely used in applied …
generalization of Markov models. Since then, they have been widely used in applied …
[HTML][HTML] Probabilistic prediction and context tree identification in the goalkeeper game
In this article we address two related issues on the learning of probabilistic sequences of
events. First, which features make the sequence of events generated by a stochastic chain …
events. First, which features make the sequence of events generated by a stochastic chain …
Local theorems for (multidimensional) additive functionals of semi-Markov chains
A Logachov, A Mogulskii, E Prokopenko… - … Processes and their …, 2021 - Elsevier
We consider a (multidimensional) additive functional of semi-Markov chain, defined by an
ergodic Markov chain with a finite number of states. The distribution of random vectors …
ergodic Markov chain with a finite number of states. The distribution of random vectors …
Classifying written texts through rhythmic features
M Balint, M Dascalu, S Trausan-Matu - Artificial Intelligence: Methodology …, 2016 - Springer
Rhythm analysis of written texts focuses on literary analysis and it mainly considers poetry.
In this paper we investigate the relevance of rhythmic features for categorizing texts in …
In this paper we investigate the relevance of rhythmic features for categorizing texts in …
[HTML][HTML] Retrieving the structure of probabilistic sequences of auditory stimuli from EEG data
Using a new probabilistic approach we model the relationship between sequences of
auditory stimuli generated by stochastic chains and the electroencephalographic (EEG) data …
auditory stimuli generated by stochastic chains and the electroencephalographic (EEG) data …
[HTML][HTML] A new index to measure positive dependence in trivariate distributions
We introduce a new index to detect dependence in trivariate distributions. The index is
based on the maximization of the coefficients of directional dependence over the set of …
based on the maximization of the coefficients of directional dependence over the set of …