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We consider the problem of robust deconvolution, and particularly the recovery of an unknown deterministic signal convolved with a known filter and corrupted by additive noise. We present a novel, non-iterative data-driven approach.…

Signal Processing · Electrical Eng. & Systems 2021-11-04 Amir Weiss , Boaz Nadler

With their ability to handle an increased amount of information, multivariate and multichannel signals can be used to solve problems normally not solvable with signals obtained from a single source. One such problem is the decomposition…

Information Theory · Computer Science 2019-04-02 Ljubisa Stankovic , Milos Brajovic , Milos Dakovic , Danilo Mandic

We perform Wigner analysis of linear operators. Namely, the standard time-frequency representation \emph{Short-time Fourier Transform} (STFT) is replaced by the $\mathcal{A}$-\emph{Wigner distribution} defined by $W_{\mathcal A}…

Analysis of PDEs · Mathematics 2021-08-10 Elena Cordero , Luigi Rodino

Metaplectic Wigner distributions were recently investigated as natural generalizations of the classical Wigner distribution, and provide a wide class of time-frequency representations that exploits the structure of the symplectic group.…

Analysis of PDEs · Mathematics 2023-01-24 Gianluca Giacchi

Recently, learning-based stereo matching methods have achieved great improvement in public benchmarks, where soft argmin and smooth L1 loss play a core contribution to their success. However, in unsupervised domain adaptation scenarios, we…

Computer Vision and Pattern Recognition · Computer Science 2025-05-01 Zhelun Shen , Zhuo Li , Chenming Wu , Zhibo Rao , Lina Liu , Yuchao Dai , Liangjun Zhang

Deep neural networks face numerous challenges in hyperspectral image classification, including high-dimensional data, sparse ground object distributions, and spectral redundancy, which often lead to classification overfitting and limited…

Computer Vision and Pattern Recognition · Computer Science 2025-04-16 Guandong Li , Mengxia Ye

The quadratic nature of the Wigner distribution causes the appearance of unwanted interferences. This is the reason why engineers, mathematicians and physicists look for related time-frequency distributions, many of them are members of the…

Functional Analysis · Mathematics 2018-11-13 Elena Cordero , Maurice de Gosson , Monika Dörfler , Fabio Nicola

Graph convolutional neural networks (GCNs) operate by aggregating messages over local neighborhoods given the prediction task under interest. Many GCNs can be understood as a form of generalized diffusion of input features on the graph, and…

Machine Learning · Computer Science 2023-07-24 Thomas Markovich

We investigate the end-to-end altitude estimation performance of a convolutional autoencoder-based interference mitigation approach for frequency-modulated continuous-wave (FMCW) radar altimeters. Specifically, we show that a Temporal…

Signal Processing · Electrical Eng. & Systems 2025-05-30 Charles E. Thornton , Jamie Sloop , Samuel Brown , Aaron Orndorff , William C. Headley , Stephen Young

In this paper, we consider Wiener filters to reconstruct deterministic and (wide-band) stationary graph signals from their observations corrupted by random noises, and we propose distributed algorithms to implement Wiener filters and…

Signal Processing · Electrical Eng. & Systems 2022-05-10 Cong Zheng , Cheng Cheng , Qiyu Sun

In this note we exhibit recent advances in signal analysis via time-frequency distributions. New members of the Cohen class, generalizing the Wigner distribution, reveal to be effective in damping artefacts of some signals. We will survey…

Functional Analysis · Mathematics 2019-12-25 Elena Cordero , Maurice de Gosson , Monika Dörfler , Fabio Nicola

In this paper we consider the problem of distributed nonlinear optimisation of a separable convex cost function over a graph subject to cone constraints. We show how to generalise, using convex analysis, monotone operator theory and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-16 Richard Heusdens , Guoqiang Zhang

The problem of end-to-end learning of a communication system using an autoencoder -- consisting of an encoder, channel, and decoder modeled using neural networks -- has recently been shown to be an effective approach. A challenge faced in…

Machine Learning · Computer Science 2023-03-07 Jayaram Raghuram , Yijing Zeng , Dolores García Martí , Rafael Ruiz Ortiz , Somesh Jha , Joerg Widmer , Suman Banerjee

To address limitations of the graph fractional Fourier transform (GFRFT) Wiener filtering and the traditional joint time-vertex fractional Fourier transform (JFRFT) Wiener filtering, this study proposes a filtering method based on the…

Signal Processing · Electrical Eng. & Systems 2025-07-30 Ziqi Yan , Zhichao Zhang

Wireless sensor networks (WSNs) represent a critical research domain within the Internet of Things (IoT) technology. The distributed Kalman filter (DKF) has garnered significant attention as an information fusion method for WSNs. However,…

Signal Processing · Electrical Eng. & Systems 2025-03-11 Xuemei Mao , Gang Wang , Bei Peng , Jiacheng He , Kun Zhang , Song Gao , Jian Chen

The problem of identifying and reconstructing operators from a diagonal of the Gabor matrix is considered. The framework of Quantum Time--Frequency Analysis is used, wherein this problem is equivalent to the discretisation of the diagonal…

Functional Analysis · Mathematics 2024-11-05 Henry McNulty

For continuous-time linear stochastic dynamical systems driven by Wiener processes, we consider the problem of designing ensemble filters when the observation process is randomly time-sampled. We propose a continuous-discrete McKean--Vlasov…

Optimization and Control · Mathematics 2024-06-21 Aneel Tanwani , Olga Yufereva

Transfer learning aims to improve inference in a target domain by leveraging information from related source domains, but its effectiveness critically depends on how cross-domain heterogeneity is modeled and controlled. When the conditional…

Statistics Theory · Mathematics 2026-02-23 Hanxiao Chen , Debarghya Mukherjee

In a recent work on direction-of-arrival (DOA) estimation of multiple speakers with convolutional neural networks (CNNs), the phase component of short-time Fourier transform (STFT) coefficients of the microphone signal is given as input and…

Audio and Speech Processing · Electrical Eng. & Systems 2019-12-18 Soumitro Chakrabarty , Emanuël A. P. Habets

Time-frequency representations stemmed in 1932 with the introduction of the Wigner distribution. For most of the 20th century, research in this area primarily focused on defining joint probability distributions for position and momentum in…

Analysis of PDEs · Mathematics 2026-01-13 Gianluca Giacchi