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Both a high spatial and a high temporal resolution of images and videos are desirable in many applications such as entertainment systems, monitoring manufacturing processes, or video surveillance. Due to the limited throughput of pixels per…

Image and Video Processing · Electrical Eng. & Systems 2022-04-08 Markus Jonscher , Jürgen Seiler , Daniela Lanz , Michael Schöberl , Michel Bätz , André Kaup

We present safe control of partially-observed linear time-varying systems in the presence of unknown and unpredictable process and measurement noise. We introduce a control algorithm that minimizes dynamic regret, i.e., that minimizes the…

Systems and Control · Electrical Eng. & Systems 2023-04-03 Hongyu Zhou , Vasileios Tzoumas

Regularization methods improve the stability of ill-posed inverse problems by introducing some a priori characteristics for the solution such as smoothness or sharpness. In this contribution, we propose a multidimensional, scale-dependent…

Geophysics · Physics 2023-01-27 Wouter Deleersnyder , Benjamin Maveau , David Dudal , Thomas Hermans

The paper presents a versatile library of analytic and quasi-analytic complex-valued wavelet packets (WPs) which originate from discrete splines of arbitrary orders. The real parts of the quasi-analytic WPs are the regular spline-based…

Numerical Analysis · Mathematics 2019-07-04 Amir Averbuch , Pekka Neittaanmaki , Valery Zheludev

Upcoming LCLS-II/II-HE operation at repetition rates approaching 1MHz demands on-detector data reduction to manage the resulting data volumes. We present a 2D discrete wavelet transform (DWT) pre-processing algorithm that segments…

Purpose: To introduce a novel deep learning based approach for fast and high-quality dynamic multi-coil MR reconstruction by learning a complementary time-frequency domain network that exploits spatio-temporal correlations simultaneously…

Image and Video Processing · Electrical Eng. & Systems 2021-06-21 Chen Qin , Jinming Duan , Kerstin Hammernik , Jo Schlemper , Thomas Küstner , René Botnar , Claudia Prieto , Anthony N. Price , Joseph V. Hajnal , Daniel Rueckert

Purpose: Real time monitoring of dynamic magnetic fields has recently become a commercially available option for measuring MRI k-space trajectories and magnetic fields induced by eddy currents in real time. However, for accurate image…

Medical Physics · Physics 2022-05-30 Paul I. Dubovan , Corey A. Baron

The present work proposes a computer-aided normal and abnormal heart sound identification based on Discrete Wavelet Transform (DWT), it being useful for tele-diagnosis of heart diseases. Due to the presence of Cumulative Frequency…

Computer Vision and Pattern Recognition · Computer Science 2012-09-11 Nilanjan Dey , Achintya Das , Sheli Sinha Chaudhuri

The symplectic wavelet transformation [Opt. Lett. 31 (2006) 3432], which is related to quantum optical Fresnel transform, is developed to the symplectic-dilation mixed wavelet transform (SDWT). The SDWT involves both a real-variable…

Quantum Physics · Physics 2009-11-13 Hong-yi Fan , Shu-guang Liu , Li-yun Hu

The proliferation and ubiquity of temporal data across many disciplines has sparked interest for similarity, classification and clustering methods specifically designed to handle time series data. A core issue when dealing with time series…

Machine Learning · Computer Science 2023-09-26 Iñigo Martinez

Accelerating the data acquisition of dynamic magnetic resonance imaging (MRI) leads to a challenging ill-posed inverse problem, which has received great interest from both the signal processing and machine learning community over the last…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Chen Qin , Jo Schlemper , Jose Caballero , Anthony Price , Joseph V. Hajnal , Daniel Rueckert

Surgical robotics holds much promise for improving patient safety and clinician experience in the Operating Room (OR). However, it also comes with new challenges, requiring strong team coordination and effective OR management. Automatic…

Computer Vision and Pattern Recognition · Computer Science 2023-12-20 Idris Hamoud , Muhammad Abdullah Jamal , Vinkle Srivastav , Didier Mutter , Nicolas Padoy , Omid Mohareri

This paper analyzes inverse scattering for the one-dimensional Helmholtz equation in the case where the wave speed is piecewise constant. Scattering data recorded for an arbitrarily small interval of frequencies is shown to determine the…

Analysis of PDEs · Mathematics 2020-08-26 Sophia Bugarija , Peter C. Gibson , Guanghui Hu , Peijun Li , Yue Zhao

Dynamic subspace estimation, or subspace tracking, is a fundamental problem in statistical signal processing and machine learning. This paper considers a geodesic model for time-varying subspaces. The natural objective function for this…

Signal Processing · Electrical Eng. & Systems 2023-03-28 Cameron J. Blocker , Haroon Raja , Jeffrey A. Fessler , Laura Balzano

The constant center frequency to bandwidth ratio (Q-factor) of wavelet transforms provides a very natural representation for audio data. However, invertible wavelet transforms have either required non-uniform decimation -- leading to…

Audio and Speech Processing · Electrical Eng. & Systems 2023-01-20 Nicki Holighaus , Günther Koliander , Clara Hollomey , Friedrich Pillichshammer

Data augmentation is important for improving machine learning model performance when faced with limited real-world data. In time series forecasting (TSF), where accurate predictions are crucial in fields like finance, healthcare, and…

Machine Learning · Computer Science 2024-08-21 Dona Arabi , Jafar Bakhshaliyev , Ayse Coskuner , Kiran Madhusudhanan , Kami Serdar Uckardes

In this work we propose an inference technique, asynchronous revision, to unify streaming and non-streaming speech recognition models. Specifically, we achieve dynamic latency with only one model by using arbitrary right context during…

Audio and Speech Processing · Electrical Eng. & Systems 2020-11-04 Mingkun Huang , Meng Cai , Jun Zhang , Yang Zhang , Yongbin You , Yi He , Zejun Ma

Analyzing temporal developments is crucial for the accurate prognosis of many medical conditions. Temporal changes that occur over short time scales are key to assessing the health of physiological functions, such as the cardiac cycle.…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Chengzhi Shen , Martin J. Menten , Hrvoje Bogunović , Ursula Schmidt-Erfurth , Hendrik Scholl , Sobha Sivaprasad , Andrew Lotery , Daniel Rueckert , Paul Hager , Robbie Holland

Time-frequency methods for vibration-based gearbox faults detection have been considered the most efficient method. Among these methods, continuous wavelet transform (CWT) as one of the best time-frequency method has been used for both…

Machine Learning · Computer Science 2016-06-23 Amir Hosein Zamanian , Abdolreza Ohadi

The dynamic mode decomposition (DMD) has become a leading tool for data-driven modeling of dynamical systems, providing a regression framework for fitting linear dynamical models to time-series measurement data. We present a simple…

Numerical Analysis · Mathematics 2017-04-11 Travis Askham , J. Nathan Kutz