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6 papers · 1 filter
Jacobi-type algorithm for low rank orthogonal approximation of symmetric tensors and its convergence analysis
Jianze Li, Konstantin Usevich, Pierre Comon
In this paper, we propose a Jacobi-type algorithm to solve the low rank orthogonal approximation problem of symmetric tensors. This algorithm includes as a special case the well-kn…
A statistical methodology to select covariates in high-dimensional data under dependence. Application to the classification of genetic profiles in oncology
Bérangère Bastien, Taha Boukhobza, Hélène Dumond +3
We propose a new methodology for selecting and ranking covariates associated with a variable of interest in a context of high-dimensional data under dependence but few observations…
Optimistic planning for the near-optimal control of nonlinear switched discrete-time systems with stability guarantees
Mathieu Granzotto, Romain Postoyan, Lucian Buşoniu +2
Originating in the artificial intelligence literature, optimistic planning (OP) is an algorithm that generates near-optimal control inputs for generic nonlinear discrete-time syste…
Approximate matrix and tensor diagonalization by unitary transformations: convergence of Jacobi-type algorithms
Konstantin Usevich, Jianze Li, Pierre Comon
We propose a gradient-based Jacobi algorithm for a class of maximization problems on the unitary group, with a focus on approximate diagonalization of complex matrices and tensors…
Bullwhip effect attenuation in supply chain management via control-theoretic tools and short-term forecasts: A preliminary study with an application to perishable inventories
Koussaila Hamiche, Michel Fliess, Cédric Join +1
Supply chain management and inventory control provide most exciting examples of control systems with delays. Here, Smith predictors, model-free control and new time series forecast…
Quaternion Non-negative Matrix Factorization: definition, uniqueness and algorithm
Julien Flamant, Sebastian Miron, David Brie
This article introduces quaternion non-negative matrix factorization (QNMF), which generalizes the usual non-negative matrix factorization (NMF) to the case of polarized signals. P…