Concept
Tensor density
Related publications (33)
Rank-Adaptive Time Integration Of Tree Tensor Networks
A rank-adaptive integrator for the approximate solution of high-order tensor differential equations by tree tensor networks is proposed and analyzed. In a recursion from the leaves to the root, the integrator updates bases and then evolves connection tenso ...
SIAM PUBLICATIONS2023Mutual information for low-rank even-order symmetric tensor estimation
Nicolas Macris, Jean François Emmanuel Barbier, Clément Dominique Luneau
We consider a statistical model for finite-rank symmetric tensor factorization and prove a single-letter variational expression for its asymptotic mutual information when the tensor is of even order. The proof applies the adaptive interpolation method orig ...
OXFORD UNIV PRESS2021Tensor Robust Pca On Graphs
Pierre Vandergheynst, Nauman Shahid, Francesco Grassi
We propose a graph signal processing framework to overcome the computational burden of Tensor Robust PCA (TRPCA). Our framework also serves as a convex alternative to graph regularized tensor factorization methods. Our method is based on projecting a tenso ...
IEEE2019Mutual Information for Low-Rank Even-Order Symmetric Tensor Factorization
Nicolas Macris, Jean François Emmanuel Barbier, Clément Dominique Luneau
We consider a statistical model for finite-rank symmetric tensor factorization and prove a single-letter variational expression for its mutual information when the tensor is of even order. The proof uses the adaptive interpolation method, for which rank-on ...
IEEE2019MATHICSE Technical Report : Modelling spatially dependent functional data via regression with differential regularization
We propose a method for modelling spatially dependent functional data, based on regression with differential regularization. The regularizing term enables to include problem-specific information about the spatio-temporal variation of phenomenon under study ...
MATHICSE2018