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Graph signal processing (GSP) facilitates the analysis of high-dimensional data on non-Euclidean domains by utilizing graph signals defined on graph vertices. In addition to static data, each vertex can provide continuous time-series…

Signal Processing · Electrical Eng. & Systems 2025-02-21 Tuna Alikaşifoğlu , Bünyamin Kartal , Eray Özgünay , Aykut Koç

Truncated Conformal Space Approach (TCSA) is a highly efficient method to compute spectra, operator matrix elements and time evolution in quantum field theories defined as relevant perturbations of 1+1-dimensional conformal field theories.…

High Energy Physics - Theory · Physics 2022-05-06 D. X. Horvath , K. Hodsagi , G. Takacs

This paper focuses on improved edge model based on Curvelet coefficients analysis. Curvelet transform is a powerful tool for multiresolution representation of object with anisotropic edge. Curvelet coefficients contributions have been…

Computer Vision and Pattern Recognition · Computer Science 2013-05-20 A. Djimeli , D. Tchiotsop , R. Tchinda

As an old and widely used tool, it is still possible to find new insights and applications from Fast Fourier Transform (FFT)-based analyses. The FFT is frequently used to generate the Power Spectral Density (PSD) function, by squaring the…

Data Analysis, Statistics and Probability · Physics 2009-01-26 Sheng-Chiang Lee , Randall D. Peters

Many interesting and fundamentally practical optimization problems, ranging from optics, to signal processing, to radar and acoustics, involve constraints on the Fourier transform of a function. It is well-known that the {\em fast Fourier…

Optimization and Control · Mathematics 2012-09-05 Robert J. Vanderbei

It was recently shown that complex cepstrum can be effectively used for glottal flow estimation by separating the causal and anticausal components of speech. In order to guarantee a correct estimation, some constraints on the window have…

Sound · Computer Science 2020-05-12 Thomas Drugman , Thierry Dutoit

The graph Fourier transform (GFT) is an important tool for graph signal processing, with applications ranging from graph-based image processing to spectral clustering. However, unlike the discrete Fourier transform, the GFT typically does…

Signal Processing · Electrical Eng. & Systems 2019-10-02 Keng-Shih Lu , Antonio Ortega

Characterizing resonant scatterers is challenging because their poles and zeros usually lie away from the real-frequency axis, whereas most measurements sample only real frequencies and infer off-axis behavior from fitted models. Here we…

Optics · Physics 2026-03-16 Alex Krasnok , Denis Seletskiy

Medical images come in high resolutions. A high resolution is vital for finding malignant tissues at an early stage. Yet, this resolution presents a challenge in terms of modeling long range dependencies. Shallow transformers eliminate this…

Computer Vision and Pattern Recognition · Computer Science 2022-08-15 Ahmed Taha , Yen Nhi Truong Vu , Brent Mombourquette , Thomas Paul Matthews , Jason Su , Sadanand Singh

Denoising of broadband non--stationary signals is a challenging problem in communication systems. In this paper, we introduce a time-varying filter algorithm based on the discrete linear chirp transform (DLCT), which provides local signal…

Signal Processing · Electrical Eng. & Systems 2018-10-15 Osama A. S. Alkishriwo , Ali A. Elghariani , Aydin Akan

I discuss the nature of a Fractional Discrete Fourier Transform (FrDFT) described algorithmically by a combination of chirp transforms and ordinary DFTs. The transform is shown to be consistent with a continuous two-dimensional rotation…

General Mathematics · Mathematics 2019-10-01 Evan Zayas

This paper strives to generate a synthetic computed tomography (CT) image from a magnetic resonance (MR) image. The synthetic CT image is valuable for radiotherapy planning when only an MR image is available. Recent approaches have made…

Image and Video Processing · Electrical Eng. & Systems 2021-07-20 Zenglin Shi , Pascal Mettes , Guoyan Zheng , Cees Snoek

Video restoration (e.g., video super-resolution) aims to restore high-quality frames from low-quality frames. Different from single image restoration, video restoration generally requires to utilize temporal information from multiple…

Computer Vision and Pattern Recognition · Computer Science 2022-06-16 Jingyun Liang , Jiezhang Cao , Yuchen Fan , Kai Zhang , Rakesh Ranjan , Yawei Li , Radu Timofte , Luc Van Gool

The quadratic phase Fourier transform (QPFT) is a generalization of several well-known integral transforms, including the linear canonical transform (LCT), fractional Fourier transform (FrFT), and Fourier transform (FT). This paper…

Functional Analysis · Mathematics 2025-05-06 Sarga Varghese , Gita Rani Mahato , Manab Kundu

Deep-learning models have enabled performance leaps in analysis of high-dimensional functional MRI (fMRI) data. Yet, many previous methods are suboptimally sensitive for contextual representations across diverse time scales. Here, we…

Signal Processing · Electrical Eng. & Systems 2023-02-21 Hasan Atakan Bedel , Irmak Şıvgın , Onat Dalmaz , Salman Ul Hassan Dar , Tolga Çukur

The ability to resolve detail in the object that is being imaged, named by resolution, is the core parameter of an imaging system. Super-resolution is a class of techniques that can enhance the resolution of an imaging system and even…

Data Structures and Algorithms · Computer Science 2022-10-13 Yaonan Jin , Daogao Liu , Zhao Song

Cardiac resynchronization therapy (CRT) has been established as an important therapy for heart failure. Mechanical dyssynchrony has the potential to predict responders to CRT. The aim of this study was to report the development and the…

We present Consistent-Recurrent Feature Flow Transformer (CRFT), a unified coarse-to-fine framework based on feature flow learning for robust cross-modal image registration. CRFT learns a modality-independent feature flow representation…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Xuecong Liu , Mengzhu Ding , Zixuan Sun , Zhang Li , Xichao Teng

The properties of the Gabor and Morlet transforms are examined with respect to the Fourier analysis of discretely sampled data. Forward and inverse transform pairs based on a fixed window with uniform sampling of the frequency axis can…

Data Analysis, Statistics and Probability · Physics 2013-07-23 Robert W. Johnson

We consider evidence integration from potentially dependent observation processes under varying spatio-temporal sampling resolutions and noise levels. We develop a multi-resolution multi-task (MRGP) framework while allowing for both…

Machine Learning · Statistics 2019-11-06 Oliver Hamelijnck , Theodoros Damoulas , Kangrui Wang , Mark Girolami