Identification of linear and bilinear systems: A unified study

J Benesty, C Paleologu, LM Dogariu, S Ciochină - Electronics, 2021 - mdpi.com
System identification problems are always challenging to address in applications that
involve long impulse responses, especially in the framework of multichannel systems. In this …

LMS and NLMS algorithms for the identification of impulse responses with intrinsic symmetric or antisymmetric properties

J Benesty, C Paleologu, S Ciochină… - ICASSP 2022-2022 …, 2022 - ieeexplore.ieee.org
In applications involving system identification problems, some characteristics of the impulse
response of the system to be identified are usually exploited to design adaptive algorithms …

Efficient algorithms for linear system identification with particular symmetric filters

ID Fîciu, J Benesty, LM Dogariu, C Paleologu… - Applied Sciences, 2022 - mdpi.com
In linear system identification problems, it is important to reveal and exploit any specific
intrinsic characteristic of the impulse responses, in order to improve the overall performance …

Causal Deep Learning: Causal Capsules and Tensor Transformers

MAO Vasilescu - arXiv preprint arXiv:2301.00314, 2023 - arxiv.org
We derive a set of causal deep neural networks whose architectures are a consequence of
tensor (multilinear) factor analysis. Forward causal questions are addressed with a neural …

On the identification of symmetric and antisymmetric impulse responses

J Benesty, C Paleologu… - 2021 55th Asilomar …, 2021 - ieeexplore.ieee.org
System identification problems can be efficiently addressed by exploiting some specific
characteristics of the impulse responses. In this paper, we focus on the identification of …

A Kalman filter for multilinear forms and its connection with tensorial adaptive filters

LM Dogariu, C Paleologu, J Benesty, CL Stanciu… - Sensors, 2021 - mdpi.com
The Kalman filter represents a very popular signal processing tool, with a wide range of
applications within many fields. Following a Bayesian framework, the Kalman filter …

CTT: Causally Informed Tensor Train Decomposition

ML Li, KS Candan, ML Sapino - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
Tensor Train (TT) is a tensor decomposition technique designed to resolve the curse of
dimensionality and the intermediate memory blow-up problems in traditional techniques for …

[PDF][PDF] Many-Body Approximation for Tensors

K Ghalamkari, M Sugiyama - stat, 2022 - academia.edu
We propose a nonnegative tensor decomposition with focusing on the relationship between
the modes of tensors. Traditional decomposition methods assume low-rankness in the …

A tensorial affine projection algorithm

LM Dogariu, C Elisei-Iliescu… - … on Signals, Circuits …, 2021 - ieeexplore.ieee.org
The affine projection algorithm (APA) represents a popular choice in system identification
scenarios, especially with correlated input signals. In this paper, we address the multilinear …

Identification of Multilinear Systems: A Brief Overview

LM Dogariu, C Paleologu, J Benesty… - Advances in Principal …, 2022 - books.google.com
Nonlinear systems have been studied for a long time and have applications in numerous
research fields. However, there is currently no global solution for nonlinear system …