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This paper establishes error bounds for the convergence of a piecewise linear approximation of the constrained optimal smoothing problem posed in a reproducing kernel Hilbert space (RKHS). This problem can be reformulated as a Bayesian…

Statistics Theory · Mathematics 2025-06-24 Laurence Grammont , François Bachoc , Andrés F. López-Lopera

Image denoising is a fundamental problem in image processing whose primary objective is to remove the noise while preserving the original image structure. In this work, we proposed a new architecture for image denoising. We have used…

Image and Video Processing · Electrical Eng. & Systems 2019-03-25 Sutanu Bera , Avisek Lahiri , Prabir Kumar Biswas

Sparsity of a learning solution is a desirable feature in machine learning. Certain reproducing kernel Banach spaces (RKBSs) are appropriate hypothesis spaces for sparse learning methods. The goal of this paper is to understand what kind of…

Functional Analysis · Mathematics 2024-03-08 Rui Wang , Yuesheng Xu , Mingsong Yan

This paper derives error bounds for regression in continuous time over subsets of certain types of Riemannian manifolds.The regression problem is typically driven by a nonlinear evolution law taking values on the manifold, and it is cast as…

Dynamical Systems · Mathematics 2022-09-09 Nathan Powell , Jia Guo , Sai Tej Parachuri , John Burns , Boone Estes , Andrew Kurdila

A new image denoising algorithm to deal with the additive Gaussian white noise model is given. Like the non-local means method, the filter is based on the weighted average of the observations in a neighborhood, with weights depending on the…

Other Statistics · Statistics 2011-11-04 Qiyu Jin , Ion Grama , Quansheng Liu

The problem of Poisson denoising appears in various imaging applications, such as low-light photography, medical imaging and microscopy. In cases of high SNR, several transformations exist so as to convert the Poisson noise into an additive…

Computer Vision and Pattern Recognition · Computer Science 2015-06-17 Raja Giryes , Michael Elad

Intrinsic image decomposition is the process of recovering the image formation components (reflectance and shading) from an image. Previous methods employ either explicit priors to constrain the problem or implicit constraints as formulated…

Computer Vision and Pattern Recognition · Computer Science 2022-05-03 Partha Das , Sezer Karaoglu , Theo Gevers

Image reconstruction for positron emission tomography (PET) is challenging because of the ill-conditioned tomographic problem and low counting statistics. Kernel methods address this challenge by using kernel representation to incorporate…

Image and Video Processing · Electrical Eng. & Systems 2022-05-26 Siqi Li , Guobao Wang

Neural scene representations achieve high-fidelity rendering by encoding 3D scenes as continuous functions, but their latent spaces are typically implicit and globally entangled, making localized editing and physically grounded manipulation…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Mikołaj Zieliński , Krzysztof Byrski , Tomasz Szczepanik , Dominik Belter , Przemysław Spurek

This work presents an approach for automating the discretization and approximation procedures in constructing digital representations of composites from Micro-CT images featuring intricate microstructures. The proposed method is guided by…

Machine Learning · Computer Science 2025-09-11 Yanran Wang , Jonghyuk Baek , Yichun Tang , Jing Du , Mike Hillman , J. S. Chen

Deep learning based image denoising methods have been extensively investigated. In this paper, attention mechanism enhanced kernel prediction networks (AME-KPNs) are proposed for burst image denoising, in which, nearly cost-free attention…

Image and Video Processing · Electrical Eng. & Systems 2020-01-30 Bin Zhang , Shenyao Jin , Yili Xia , Yongming Huang , Zixiang Xiong

Deep Belief Networks which are hierarchical generative models are effective tools for feature representation and extraction. Furthermore, DBNs can be used in numerous aspects of Machine Learning such as image denoising. In this paper, we…

Machine Learning · Computer Science 2014-01-03 Mohammad Ali Keyvanrad , Mohammad Pezeshki , Mohammad Ali Homayounpour

Image denoising has become an essential exercise in medical imaging especially the Magnetic Resonance Imaging (MRI). This paper proposes a medical image denoising algorithm using contourlet transform. Numerical results show that the…

Other Computer Science · Computer Science 2011-03-28 S. Satheesh , KVSVR Prasad

The inherent generative power of denoising diffusion models makes them well-suited for image restoration tasks where the objective is to find the optimal high-quality image within the generative space that closely resembles the input image.…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Zheng Ding , Xuaner Zhang , Zhuowen Tu , Zhihao Xia

Deep learning-based image denoising techniques often struggle with poor generalization performance to out-of-distribution real-world noise. To tackle this challenge, we propose a novel noise translation framework that performs denoising on…

Image and Video Processing · Electrical Eng. & Systems 2026-04-03 Inju Ha , Donghun Ryou , Seonguk Seo , Bohyung Han

In presence of sparse noise we propose kernel regression for predicting output vectors which are smooth over a given graph. Sparse noise models the training outputs being corrupted either with missing samples or large perturbations. The…

Machine Learning · Statistics 2018-11-07 Arun Venkitaraman , Pascal Frossard , Saikat Chatterjee

Images taken in a low light condition with the presence of camera shake suffer from motion blur and photon shot noise. While state-of-the-art image restoration networks show promising results, they are largely limited to well-illuminated…

Image and Video Processing · Electrical Eng. & Systems 2023-04-07 Yash Sanghvi , Zhiyuan Mao , Stanley H. Chan

We propose a framework for transfer learning of discount curves across different fixed-income product classes. Motivated by challenges in estimating discount curves from sparse or noisy data, we extend kernel ridge regression (KR) to a…

Machine Learning · Statistics 2026-01-14 Nicolas Camenzind , Damir Filipovic

We propose to learn a fully-convolutional network model that consists of a Chain of Identity Mapping Modules and residual on the residual architecture for image denoising. Our network structure possesses three distinctive features that are…

Computer Vision and Pattern Recognition · Computer Science 2020-04-29 Saeed Anwar , Cong Phuoc Huynh , Fatih Porikli

Quantum Image Processing (QIP) is a field that aims to utilize the benefits of quantum computing for manipulating and analyzing images. However, QIP faces two challenges: the limitation of qubits and the presence of noise in a quantum…

Quantum Physics · Physics 2024-09-27 Yifan Zhou , Yan Shing Liang
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