[9] Caprio, M., Mukherjee, S., Lim, L.H. (2022+). Concentration inequalities, optimal number of layers and prediction fallacy of a           stochastic neural network.

[10] Caprio, M., Dobriban, E. (2022+). Imprecisely PAC procedure to compute confidence sets for deep neural networks.

[11] Caprio, M., Seidenfeld, T. (2022+). Constriction for sets of probabilities.

Preprints

[4] Caprio, M. (2022). Tight bounds for augmented KL divergence in terms of augmented total variation distance. ArXiv.

[5] Caprio, M., Gong, R. (2021). Dynamic precise and imprecise probability kinematics. ArXiv.

[6] Caprio, M., Mukherjee, S. (2021). Ergodic theorems for dynamic imprecise probability kinematics. ArXiv.

[7] Caprio, M., Mukherjee, S. (2021). Extended probabilities in statistics. ArXiv.

[8] Caprio, M., Mukherjee, S. (2021). Finite mixture models: a bridge with stochastic geometry and Choquet theory. ArXiv.

 

Working Papers

RESEARCH

Publications

[1] Leonetti, P., Caprio, M. (2021). Turnpike in infinite dimension, Canadian Mathematical Bulletin, 1-15.

[2] Caprio, M., Aveni, A., Mukherjee, S. (2022). Concerning three classes of non-Diophantine arithmetics. Involve, forthcoming.

[3] Caprio, M., Aveni, A., Mukherjee, S. (2022). Concerning two classes of non-Diophantine arithmetics. Proceedings 81(1).