Cover Image

The M-Tensor Format: Optimality in High Dimensional Regression for Nonlinear Models with Scarce Data

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Cloarec, Rémi, Rodriguez, Sebastian, Kestelyn, Xavier, Chinesta, Francisco
Format:	Preprint
Published:	2026
Subjects:	Computational Engineering, Finance, and Science 15A23, 15A69, 65D40
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Tensor Network Space-Time Spectral Collocation Method for Solving the Nonlinear Convection Diffusion Equation
by: Adak, Dibyendu, et al.
Published: (2024)

Interval B-Tensors and Interval Double B-Tensors
by: Ye, Li, et al.
Published: (2026)

Optimization on the Extended Tensor-Train Manifold with Shared Factors
by: Molozhavenko, Alexander, et al.
Published: (2025)

Hybrid CUR-type decomposition of tensors in the Tucker format
by: Begovic, Erna
Published: (2020)

Robust Completion for Rank-1 Tensors with Noises
by: Nie, Jiawang, et al.
Published: (2025)

Tensor Deli: Tensor Completion for Low CP-Rank Tensors via Random Sampling
by: Haselby, Cullen, et al.
Published: (2024)

Hamiltonian and Symplectic Tensors in the T-product Algebra
by: Lopez-Moreno, Susana, et al.
Published: (2026)

Accelerating Galerkin Reduced-Order Models for Turbulent Flows with Tensor Decomposition
by: Tsai, Ping-Hsuan, et al.
Published: (2023)

Implicit Multiple Tensor Decomposition
by: Yang, Kunjing, et al.
Published: (2025)

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material
by: Chumchal, Věnceslav, et al.
Published: (2025)

Which variables of a numerical problem cause ill-conditioning?
by: Dewaele, Nick
Published: (2025)

Which constraints of a numerical problem cause ill-conditioning?
by: Dewaele, Nick, et al.
Published: (2023)

On Trimming Tensor-structured Measurements and Efficient Low-rank Tensor Recovery
by: Suryanarayanan, Shambhavi, et al.
Published: (2025)

Goal-Oriented Low-Rank Tensor Decompositions for Numerical Simulation Data
by: Dunlavy, Daniel M., et al.
Published: (2025)

Iterative Methods for Computing the T-Square Root of Third-Order Tensors
by: Sharma, Hemant, et al.
Published: (2026)

A Newton method for solving locally definite multiparameter eigenvalue problems by multiindex
by: Eisenmann, Henrik
Published: (2024)

A note on the cross matrices
by: Liu, Xiaobo
Published: (2025)

Strict Copositivity for a Class of 3rd Order Symmetric Tensors
by: Li, Min, et al.
Published: (2024)

Incremental Hierarchical Tucker Decomposition
by: Aksoy, Doruk, et al.
Published: (2024)

Effective algorithms for tensor train decomposition via the UTV framework
by: Wang, Yuchao, et al.
Published: (2025)

Robust Eigenvectors of Symmetric Tensors
by: Muller, Tommi, et al.
Published: (2021)

Inexact subspace projection methods for low-rank tensor eigenvalue problems
by: Dektor, Alec, et al.
Published: (2025)

Computing excited states with isometric tensor networks in two-dimensions
by: Dektor, Alec, et al.
Published: (2025)

An NPDo Approach for Tensor Block-Diagonalization
by: Li, Ren-Cang, et al.
Published: (2026)

Diagonal Gaussian Mixture Models and Higher Order Tensor Decompositions
by: Guo, Bingni, et al.
Published: (2024)

Multilevel Sparse Tensor Approximation for High-Dimensional Parametric PDEs
by: Eigel, Martin, et al.
Published: (2026)

Spectral Bounds for Tensors Derived from Trace Functionals and Wasserstein Distance in Tensor Spaces
by: Sharma, Hemant, et al.
Published: (2026)

A chiseling algorithm for low-rank Grassmann decomposition of skew-symmetric tensors
by: Vannieuwenhoven, Nick
Published: (2024)

Positive Definiteness of $4$th Order $3$-Dimensional Symmetric Tensors with entries $-1$, $0$, $1$
by: Ye, Li, et al.
Published: (2025)

A Family of Iterative Methods for Computing Generalized Inverses of Quaternion Matrices and its Applications
by: Karmakar, Biswarup, et al.
Published: (2026)

Tensor train solution to uncertain optimization problems with shared sparsity penalty
by: Antil, Harbir, et al.
Published: (2024)

Sharp nonlinear estimates for multiplying derivatives of positive definite tensor fields
by: Bathory, Michal
Published: (2020)

Low-rank eigenvalue solvers for block-sparse matrix product states
by: Bachmayr, Markus, et al.
Published: (2026)

On the accurate computation of the Newton form of the Lagrange interpolant
by: Khiar, Yasmina, et al.
Published: (2023)

Small singular values can increase in lower precision
by: Boutsikas, Christos, et al.
Published: (2023)

Frontal Slice Approaches for Tensor Linear Systems
by: Luo, Hengrui, et al.
Published: (2024)

Fast numerical generation of Lie closure
by: Iiyama, Yutaro
Published: (2025)

Stochastic Gradient Descent for Incomplete Tensor Linear Systems
by: Ma, Anna, et al.
Published: (2025)

Takagi factorization of matrices depending on parameters and locating degeneracies of singular values
by: Dieci, Luca, et al.
Published: (2021)

A Hidden Variable Resultant Method for the Polynomial Multiparameter Eigenvalue Problem
by: Graf, Emil, et al.
Published: (2025)