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Related papers: Optimum and Adaptive Complex-Valued Bilinear Filte…

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Gravitational waveforms for compact binary coalescences (CBCs) have been invaluable for detections by the LIGO-Virgo collaboration. They are obtained by a combination of semi-analytical models and numerical simulations. So far systematic…

General Relativity and Quantum Cosmology · Physics 2021-01-13 Abhay Ashtekar , Tommaso De Lorenzo , Neev Khera

Modeling nonlinear systems with Volterra series is challenging because the number of kernel coefficients grows exponentially with the model order. This work introduces Bayesian Tensor Network Volterra kernel machines (BTN-V), extending the…

Machine Learning · Statistics 2025-11-26 Afra Kilic , Kim Batselier

This paper considers a bearings-only tracking problem using noisy measurements of unknown noise statistics from a passive sensor. It is assumed that the process and measurement noise follows the Gaussian distribution where the measurement…

Signal Processing · Electrical Eng. & Systems 2023-05-16 Shreya Das , Kundan Kumar , Shovan Bhaumik

For classical estimation with an underlying linear model the best linear unbiased estimator (BLUE) is usually utilized for estimating the deterministic but unknown parameter vector. In the case of real valued parameter vectors but complex…

Statistics Theory · Mathematics 2016-12-14 Oliver Lang , Mario Huemer

Artificial neural networks (ANNs), particularly those employing deep learning models, have found widespread application in fields such as computer vision, signal processing, and wireless communications, where complex numbers are crucial.…

Machine Learning · Computer Science 2024-07-30 M. M. Hammad

We propose a new algorithm to identify a Wiener-Hammerstein system. This model represents a communication channel where two linear filters are separated by a non-linear function modelling an amplifier. The algorithm enables to recover each…

Information Theory · Computer Science 2024-09-02 Vincent Corlay

The high computation complexity of nonlinear adaptive filtering algorithms poses significant challenges at the hardware implementation level. In order to tackle the computational complexity problem, this paper proposes a novel…

Signal Processing · Electrical Eng. & Systems 2024-01-17 Pavankumar Ganjimala , Subrahmanyam Mula

We propose a new method for creating computationally efficient convolutional neural networks (CNNs) by using low-rank representations of convolutional filters. Rather than approximating filters in previously-trained networks with more…

Computer Vision and Pattern Recognition · Computer Science 2016-11-30 Yani Ioannou , Duncan Robertson , Jamie Shotton , Roberto Cipolla , Antonio Criminisi

Structured low-rank (SLR) algorithms, which exploit annihilation relations between the Fourier samples of a signal resulting from different properties, is a powerful image reconstruction framework in several applications. This scheme relies…

Machine Learning · Computer Science 2020-08-11 Aniket Pramanik , Hemant Aggarwal , Mathews Jacob

Digital filter construction method, which is optimal by parametric sensitivity, based on using of non-canonical hypercomplex number systems is proposed and investigated. It is shown that the use of non-canonical hypercomplex number system…

Numerical Analysis · Computer Science 2015-06-08 Yakiv O. Kalinovsky , Yuliya E. Boyarinova , Iana V. Khitsko

We show that a special class of (nonconvex) NMPC problems admits an exact solution by reformulating them as a finite number of convex subproblems, extending previous results to the multi-input case. Our approach is applicable to a special…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Manuel Klädtke , Moritz Schulze Darup

Binarized neural networks, or BNNs, show great promise in edge-side applications with resource limited hardware, but raise the concerns of reduced accuracy. Motivated by the complex neural networks, in this paper we introduce complex…

Neural and Evolutionary Computing · Computer Science 2021-04-21 Yanfei Li , Tong Geng , Ang Li , Huimin Yu

We present a method that connects a well-established nonlinear (bilinear) identification method from time-domain data with neural network (NNs) advantages. The main challenge for fitting bilinear systems is the accurate recovery of the…

Dynamical Systems · Mathematics 2022-08-23 Dimitrios S. Karachalios , Ion Victor Gosea , Kirandeep Kour , Athanasios C. Antoulas

In this work, we study complex-valued data detection performance in massive multiple-input multiple-output (MIMO) systems. We focus on the problem of recovering an $n$-dimensional signal whose entries are drawn from an arbitrary…

Information Theory · Computer Science 2023-08-11 Ayed M. Alrashdi , Houssem Sifaou

Machine learning (ML) starts to be widely used to enhance the performance of multi-user multiple-input multiple-output (MU-MIMO) receivers. However, it is still unclear if such methods are truly competitive with respect to conventional…

Information Theory · Computer Science 2021-07-01 Mathieu Goutay , Fayçal Ait Aoudia , Jakob Hoydis , Jean-Marie Gorce

We propose a complex-valued neural-network (CV-NN) framework to optimally configure stacked intelligent surfaces (SIS) in next-generation multi-antenna systems. Unlike conventional solutions that separately tune analog metasurface phases or…

Information Theory · Computer Science 2025-09-09 Abdullah Zayat , Omran Abbas , Loic Markley , Anas Chaaban

This work investigates the task of estimating a real valued parameter vector based on complex valued measurements in a classical set-up. The application of standard estimators in general results in complex valued estimates of the real…

Statistics Theory · Mathematics 2017-05-01 Oliver Lang , Mario Huemer

We study the problem of optimizing nonlinear objective functions over bipartite matchings. While the problem is generally intractable, we provide several efficient algorithms for it, including a deterministic algorithm for maximizing convex…

Optimization and Control · Mathematics 2008-07-24 Yael Berstein , Shmuel Onn

Real-time identification of electrical equivalent circuit models is a critical requirement in many practical systems, such as batteries and electric motors. Significant work has been done in the past developing different types of algorithms…

Systems and Control · Electrical Eng. & Systems 2021-01-15 Balakumar Balasingam , Krishna Pattipati

Cross-validation (CV) is a popular method for model-selection. Unfortunately, it is not immediately obvious how to apply CV to unsupervised or exploratory contexts. This thesis discusses some extensions of cross-validation to unsupervised…

Methodology · Statistics 2009-09-17 Patrick O. Perry