3 papers
stat.ML2025
Empirical PAC-Bayes Bounds for Markov Chains
Vahe Karagulyan, Pierre Alquier
The core of generalization theory was developed for independent observations. Some PAC and PAC-Bayes bounds are available for data that exhibit a temporal dependence. However, ther…
math.ST2024
Adaptive Mean Estimation in the Hidden Markov sub-Gaussian Mixture Model
Vahe Karagulyan, Mohamed Ndaoud
We investigate the problem of center estimation in the high dimensional binary sub-Gaussian Mixture Model with Hidden Markov structure on the labels. We first study the limitations…
math.CA2022
On generalized lacunary series
Grigori A. Karagulyan, Vahe G. Karagulyan
Given lacunary sequence of integers, , , we define a new sequence formed by all possible -wise sums …