activity
20192026
most citedA general framework for constrained convex quaternion optimization

31 citations · 57 across the 5 of their papers we have counts for

collaborators

5 papers

stat.ML2026

Variational Low-rank Tensor Decomposition for Multisubject Spatiotemporal Data Analysis

Laura M. Montaldo, Ricardo A. Borsoi, Sebastian Miron +1

Modeling shared and subject-specific structure in multisubject spatiotemporal data remains challenging, particularly in neuroimaging, where both spatial and temporal patterns exhib…

math.NA2024

Multilinear analysis of quaternion arrays: theory and computation

Julien Flamant, Xavier Luciani, Sebastian Miron +1

Multidimensional quaternion arrays (often referred to as "quaternion tensors") and their decompositions have recently gained increasing attention in various fields such as color an…

cs.LG2021

Tensor-based framework for training flexible neural networks

Yassine Zniyed, Konstantin Usevich, Sebastian Miron +1

Activation functions (AFs) are an important part of the design of neural networks (NNs), and their choice plays a predominant role in the performance of a NN. In this work, we are…

math.OC2021★ 31 cited

A general framework for constrained convex quaternion optimization

Julien Flamant, Sebastian Miron, David Brie

This paper introduces a general framework for solving constrained convex quaternion optimization problems in the quaternion domain. To soundly derive these new results, the propose…

eess.SP2019★ 26 cited

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…