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math.PR2025
Uniqueness of stationary compatible probability measures for chains of infinite order with forbidden transitions
Christophe Gallesco, Sandro Gallo, Daniel Yasumasa Takahashi
In this paper, we consider chains of infinite order on countable state spaces with prohibited transitions. We give a set of sufficient conditions on the structure of the probabilit…
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 (…