Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors. - Gianluca Ceruti; Christian Lubich (CoRR, 2019)

An unconventional robust integrator for dynamical low-rank approximation. - Gianluca Ceruti; Christian Lubich (CoRR, 2020)

A rank-adaptive robust integrator for dynamical low-rank approximation. - Gianluca Ceruti; Jonas Kusch; Christian Lubich (CoRR, 2021)

Dynamical low-rank approximation for Burgers' equation with uncertainty. - Jonas Kusch; Gianluca Ceruti; Lukas Einkemmer; Martin Frank (CoRR, 2021)

Time Integration of Tree Tensor Networks. - Gianluca Ceruti; Christian Lubich; Hanna Walach (SIAM J. Numer. Anal., 2021)

Low-rank lottery tickets: finding efficient low-rank neural networks via matrix differential equations. - Steffen Schotthöfer; Emanuele Zangrando; Jonas Kusch; Gianluca Ceruti; Francesco Tudisco (NeurIPS, 2022)

Robust low-rank training via approximate orthonormal constraints. - Dayana Savostianova; Emanuele Zangrando; Gianluca Ceruti; Francesco Tudisco (NeurIPS, 2023)

Rank-adaptive spectral pruning of convolutional layers during training. - Emanuele Zangrando; Steffen Schotthöfer; Gianluca Ceruti; Jonas Kusch; Francesco Tudisco (CoRR, 2023)

From low-rank retractions to dynamical low-rank approximation and back. - Axel Séguin; Gianluca Ceruti; Daniel Kressner (CoRR, 2023)

Rank-Adaptive Time Integration of Tree Tensor Networks. - Gianluca Ceruti; Christian Lubich; Dominik Sulz (SIAM J. Numer. Anal., 2023)

On the Stability of Robust Dynamical Low-Rank Approximations for Hyperbolic Problems. - Jonas Kusch; Lukas Einkemmer; Gianluca Ceruti (SIAM J. Sci. Comput., 2023)

Geometry-aware training of factorized layers in tensor Tucker format. - Emanuele Zangrando; Steffen Schotthöfer; Gianluca Ceruti; Jonas Kusch; Francesco Tudisco (NeurIPS, 2024)

A robust second-order low-rank BUG integrator based on the midpoint rule. - Gianluca Ceruti; Lukas Einkemmer; Jonas Kusch; Christian Lubich (CoRR, 2024)

A parallel Basis Update and Galerkin Integrator for Tree Tensor Networks. - Gianluca Ceruti; Jonas Kusch; Christian Lubich; Dominik Sulz (CoRR, 2024)

A Parallel Rank-Adaptive Integrator for Dynamical Low-Rank Approximation. - Gianluca Ceruti; Jonas Kusch; Christian Lubich (SIAM J. Sci. Comput., 2024)

GeoLoRA: Geometric integration for parameter efficient fine-tuning. - Steffen Schotthöfer; Emanuele Zangrando; Gianluca Ceruti; Francesco Tudisco; Jonas Kusch (ICLR, 2025)

Randomized Low-Rank Runge-Kutta Methods. - Hei Yin Lam; Gianluca Ceruti; Daniel Kressner (SIAM J. Matrix Anal. Appl., 2025)

Low-Rank Tree Tensor Network Operators for Long-Range Pairwise Interactions. - Gianluca Ceruti; Daniel Kressner; Dominik Sulz (SIAM J. Sci. Comput., 2025)

A Reduced Augmentation Implicit Low-rank (RAIL) integrator for solving three-dimensional diffusion and advection-diffusion equations in the Tucker tensor format. - Joseph Nakao; Gianluca Ceruti; Lukas Einkemmer (CoRR, 2025)

A Galerkin Alternating Projection Method for Kinetic Equations in the Diffusive Limit. - Gianluca Ceruti; Nicolas Crouseilles; Lukas Einkemmer (CoRR, 2025)