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stat.ML2024
Convergence of Statistical Estimators via Mutual Information Bounds
El Mahdi Khribch, Pierre Alquier
Recent advances in statistical learning theory have revealed profound connections between mutual information (MI) bounds, PAC-Bayesian theory, and Bayesian nonparametrics. This wor…
math.ST2024
Optimistic Estimation of Convergence in Markov Chains with the Average-Mixing Time
Geoffrey Wolfer, Pierre Alquier
The convergence rate of a Markov chain to its stationary distribution is typically assessed using the concept of total variation mixing time. However, this worst-case measure often…