2010/05/25 by Pantelis Bouboulis, P. Bouboulis, Bouboulis, P. · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Blind Source Separation Techniques #Complex Variables (math.CV) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Matrix Theory and Algorithms #Scientific Research and Discoveries #cs.LG #math.CV
paper · pdf · doi:10.48550/arxiv.1005.5170
Report completed for the department of Informatics and Telecommunications of the University of Athens
arxiv created 2010/05/25 · openalex publication_date 2010/05/25 · arxiv updated 2010/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The present report, has been inspired by the need of the author and its colleagues to understand the underlying theory of Wirtinger's Calculus and to further extend it to include the kernel case. The aim of the present manuscript is twofold: a) it endeavors to provide a more rigorous presentation of the related material, focusing on aspects that the author finds more insightful and b) it extends the notions of Wirtinger's calculus on general Hilbert spaces (such as Reproducing Hilbert Kernel Spaces).