On the Limit Distribution of the Canonical Correlation Coefficients Between the Past and the Future of a High-Dimensional White Noise. - Daria Tieplova; Philippe Loubaton; Leonid Pastur (ICASSP, 2020)

On the largest singular values of certain large random matrices with application to the estimation of the minimal dimension of the state-space representations of high-dimensional time series. - Daria Tieplova; Philippe Loubaton (CoRR, 2021)

Fundamental limits of overparametrized shallow neural networks for supervised learning. - Francesco Camilli; Daria Tieplova; Jean Barbier (CoRR, 2023)

Information-theoretic reduction of deep neural networks to linear models in the overparametrized proportional regime. - Francesco Camilli; Daria Tieplova; Eleonora Bergamin; Jean Barbier (COLT, 2025)

Information-theoretic limits and approximate message-passing for high-dimensional time series. - Daria Tieplova; Samriddha Lahiry; Jean Barbier (CoRR, 2025)