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A new reconstruction method of complex-valued fractional Brownian motion (CV-fBm) field based on Compressive Sampling (CS) is proposed. The decay property of Fourier coefficients magnitude of the fBm signals/ fields indicates that fBms are…

Computer Vision and Pattern Recognition · Computer Science 2013-11-05 Andriyan B. Suksmono

Deep convolutional networks often append additive constant ("bias") terms to their convolution operations, enabling a richer repertoire of functional mappings. Biases are also used to facilitate training, by subtracting mean response over…

Image and Video Processing · Electrical Eng. & Systems 2020-02-11 Sreyas Mohan , Zahra Kadkhodaie , Eero P. Simoncelli , Carlos Fernandez-Granda

Microstructure imaging is crucial in materials science, but experimental images often introduce noise that obscures critical structural details. This study presents a novel deep learning approach for robust microstructure image denoising,…

Materials Science · Physics 2025-07-03 Owais Ahmad , Albert Linda , Saumya Ranjan Jha , Somnath Bhowmick

Automatic detection and tracking of cells in microscopy images are major applications of computer vision technologies in both biomedical research and clinical practice. Though machine learning methods are increasingly common in these…

Computer Vision and Pattern Recognition · Computer Science 2023-12-07 Nikomidisz Eftimiu , Michal Kozubek

Gesture recognition based on surface electromyography (sEMG) has been gaining importance in many 3D Interactive Scenes. However, sEMG is easily influenced by various forms of noise in real-world environments, leading to challenges in…

Signal Processing · Electrical Eng. & Systems 2024-04-18 Weiyu Guo , Ziyue Qiao , Ying Sun , Hui Xiong

Electronic transport is at the heart of many phenomena in condensed matter physics and material science. Magnetic imaging is a non-invasive tool for detecting electric current in materials and devices. A two-dimensional current density can…

Data Analysis, Statistics and Probability · Physics 2021-07-07 Colin B. Clement , James P. Sethna , Katja C. Nowack

We propose a general framework to recover underlying images from noisy phaseless diffraction measurements based on the alternating directional method of multipliers and the plug-and-play technique. The algorithm consists of three-step…

Optimization and Control · Mathematics 2016-11-07 Huibin Chang , Stefano Marchesini

Bayesian methods are commonly applied to solve image analysis problems such as noise-reduction, feature enhancement and object detection. A primary limitation of these approaches is the computational complexity due to the interdependence of…

Methodology · Statistics 2023-06-01 Konstantinos Bakas , John Kornak , Hernando Ombao

This paper proposes a new fBm (fractional Brownian motion) interpolation/reconstruction method from partially known samples based on CS (Compressive Sampling). Since 1/f property implies power law decay of the fBm spectrum, the fBm signals…

Numerical Analysis · Computer Science 2011-05-31 Andriyan Bayu Suksmono

We present a novel, general-purpose method for deconvolving and denoising images from gridded radio interferometric visibilities using Bayesian inference based on a Gaussian process model. The method automatically takes into account…

Instrumentation and Methods for Astrophysics · Physics 2015-06-17 P. M. Sutter , Benjamin D. Wandelt , Jason D. McEwen , Emory F. Bunn , Ata Karakci , Andrei Korotkov , Peter Timbie , Gregory S. Tucker , Le Zhang

We implement Bayesian model selection and parameter estimation for the case of fractional Brownian motion with measurement noise and a constant drift. The approach is tested on artificial trajectories and shown to make estimates that match…

Data Analysis, Statistics and Probability · Physics 2018-04-05 Jens Krog , Lars H. Jacobsen , Frederik W. Lund , Daniel Wüstner , Michael A. Lomholt

With the great success of diffusion models in image generation, diffusion-based image compression is attracting increasing interests. However, due to the random noise introduced in the diffusion learning, they usually produce…

Image and Video Processing · Electrical Eng. & Systems 2026-04-09 Zhenyu Du , Yanbo Gao , Shuai Li , Yiyang Li , Hui Yuan , Mao Ye

In this paper, we present two variations of an algorithm for signal reconstruction from one-bit or two-bit noisy observations of the discrete Fourier transform (DFT). The one-bit observations of the DFT correspond to the sign of its real…

Signal Processing · Electrical Eng. & Systems 2022-05-25 Mohak Goyal , Animesh Kumar

Novel experimental modalities acquire spatially resolved velocity measurements for steady state and transient flows which are of interest for engineering and biological applications. One of the drawbacks of such high resolution velocity…

Numerical Analysis · Mathematics 2015-12-31 H. Egger , T. Seitz , C. Tropea

Multi-scale decomposition has been an invaluable tool for the processing of physiological signals. Much focus in multi-scale decomposition for processing such signals have been based on scale-space theory and wavelet transforms. In this…

Methodology · Statistics 2015-06-03 Alexander Wong , Xiao Yu Wang

Fourier ptychography is a recently developed imaging approach for large field-of-view and high-resolution microscopy. Here we model the Fourier ptychographic forward imaging process using a convolution neural network (CNN) and recover the…

Computer Vision and Pattern Recognition · Computer Science 2018-03-12 Shaowei Jiang , Kaikai Guo , Jun Liao , Guoan Zheng

This paper proposes an approach for optimizing a Convolutional BeamFormer (CBF) that can jointly perform denoising (DN), dereverberation (DR), and source separation (SS). First, we develop a blind CBF optimization algorithm that requires no…

Audio and Speech Processing · Electrical Eng. & Systems 2021-08-05 Tomohiro Nakatani , Rintaro Ikeshita , Keisuke Kinoshita , Hiroshi Sawada , Shoko Araki

Learned denoisers play a fundamental role in various signal generation (e.g., diffusion models) and reconstruction (e.g., compressed sensing) architectures, whose success derives from their ability to leverage low-dimensional structure in…

Machine Learning · Computer Science 2025-08-14 Shiyu Wang , Mariam Avagyan , Yihan Shen , Arnaud Lamy , Tingran Wang , Szabolcs Márka , Zsuzsa Márka , John Wright

Measured Bidirectional Texture Function (BTF) can faithfully reproduce a realistic appearance but is costly to acquire and store due to its 6D nature (2D spatial and 4D angular). Therefore, it is practical and necessary for rendering to…

Graphics · Computer Science 2024-05-24 Zilin Xu , Zahra Montazeri , Beibei Wang , Ling-Qi Yan

Transformer-based diffusion models have demonstrated remarkable performance at generating high-quality samples. However, our theoretical understanding of the reasons for this success remains limited. For instance, existing models are…

Machine Learning · Computer Science 2026-04-14 Hongkang Li , Hancheng Min , Rene Vidal
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