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math.ST2026
Reduction and classification of higher-order Markov chains
Christophe Gallesco, Caio Teodore Genovese Huss Oliveira, Daniel Yasumasa Takahashi
We study the class structure of finite-alphabet Markov chains with arbitrary memory length. To capture the structural constraints induced by prohibited transitions, we introduce th…
math.ST2025
Pathwise guessing in categorical time series with unbounded alphabets
J. -R. Chazottes, S. Gallo, D. Takahashi
The following learning problem arises naturally in various applications: Given a finite sample from a categorical or count time series, can we learn a function of the sample that (…