Extension of Wirtinger's calculus to reproducing kernel Hilbert spaces and the complex kernel LMS

P Bouboulis, S Theodoridis - IEEE Transactions on Signal …, 2010 - ieeexplore.ieee.org
Over the last decade, kernel methods for nonlinear processing have successfully been used
in the machine learning community. The primary mathematical tool employed in these …

Advanced machine learning techniques for self-interference cancellation in full-duplex radios

AT Kristensen, A Burg… - 2019 53rd Asilomar …, 2019 - ieeexplore.ieee.org
In-band full-duplex systems allow for more efficient use of temporal and spectral resources
by transmitting and receiving information at the same time and on the same frequency …

Floquet engineering with quantum optimal control theory

A Castro, U De Giovannini, SA Sato… - New Journal of …, 2023 - iopscience.iop.org
Floquet engineering consists in the modification of physical systems by the application of
periodic time-dependent perturbations. The search for the shape of the periodic perturbation …

Model-based STFT phase recovery for audio source separation

P Magron, R Badeau, B David - IEEE/ACM Transactions on …, 2018 - ieeexplore.ieee.org
For audio source separation applications, it is common to estimate the magnitude of the
short-time Fourier transform (STFT) of each source. In order to further synthesize time …

Adaptive learning in complex reproducing kernel Hilbert spaces employing Wirtinger's subgradients

P Bouboulis, K Slavakis… - IEEE transactions on …, 2012 - ieeexplore.ieee.org
This paper presents a wide framework for non-linear online supervised learning tasks in the
context of complex valued signal processing. The (complex) input data are mapped into a …

Phase retrieval with Bregman divergences and application to audio signal recovery

PH Vial, P Magron, T Oberlin… - IEEE Journal of Selected …, 2021 - ieeexplore.ieee.org
Phase retrieval (PR) aims to recover a signal from the magnitudes of a set of inner products.
This problem arises in many audio signal processing applications which operate on a short …

Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location

O Lass, S Volkwein - Computational Optimization and Applications, 2014 - Springer
The construction of reduced-order models for parametrized partial differential systems using
proper orthogonal decomposition (POD) is based on the information of the so-called …

Identification of non-linear RF systems using backpropagation

AT Kristensen, A Burg… - 2020 IEEE …, 2020 - ieeexplore.ieee.org
In this work, we use deep unfolding to view cascaded non-linear RF systems as model-
based neural networks. This view enables the direct use of a wide range of neural network …

Stochastic Amplitude Flow for phase retrieval, its convergence and doppelg\" angers

O Melnyk - arXiv preprint arXiv:2212.04916, 2022 - arxiv.org
In this paper, we focus on Stochastic Amplitude Flow (SAF) for phase retrieval, a stochastic
gradient descent for the amplitude-based squared loss. While the convergence to a critical …

Geometric measures of entanglement in multipartite pure states via complex-valued neural networks

M Che, L Qi, Y Wei, G Zhang - Neurocomputing, 2018 - Elsevier
The geometric measure of entanglement of a multipartite pure state is defined it terms of its
geometric distance from the set of separable pure states. The quantum eigenvalue problem …