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This paper studies the problem of accurately recovering a structured signal from a small number of corrupted sub-Gaussian measurements. We consider three different procedures to reconstruct signal and corruption when different kinds of…

Information Theory · Computer Science 2017-05-23 Jinchi Chen , Yulong Liu

Supervised training of deep neural networks on pairs of clean image and noisy measurement achieves state-of-the-art performance for many image reconstruction tasks, but such training pairs are difficult to collect. Self-supervised methods…

Image and Video Processing · Electrical Eng. & Systems 2023-10-30 Tobit Klug , Dogukan Atik , Reinhard Heckel

Image denoising based on deep learning has witnessed significant advancements in recent years. However, existing deep learning methods lack quantitative control of the deviation or error on denoised images. The neural networks Self2Self is…

Instrumentation and Methods for Astrophysics · Physics 2025-02-25 Tie Liu , Yuhui Quan , Yingna Su , Yang Guo , Shu Liu , Haisheng Ji , Qi Hao , Yulong Gao , Yuxia Liu , Yikang Wang , Wenqing Sun , Mingde Ding

We propose GRGS, a generalizable and relightable 3D Gaussian framework for high-fidelity human novel view synthesis under diverse lighting conditions. Unlike existing methods that rely on per-character optimization or ignore physical…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Yipengjing Sun , Shengping Zhang , Chenyang Wang , Shunyuan Zheng , Zonglin Li , Xiangyang Ji

The elastic-net is among the most widely used types of regularization algorithms, commonly associated with the problem of supervised generalized linear model estimation via penalized maximum likelihood. Its nice properties originate from a…

Machine Learning · Statistics 2020-10-05 Juan C. Laria , Line H. Clemmensen , Bjarne K. Ersbøll

Implicit Neural Representation (INR) has emerged as an effective method for unsupervised image denoising. However, INR models are typically overparameterized; consequently, these models are prone to overfitting during learning, resulting in…

Computer Vision and Pattern Recognition · Computer Science 2024-01-04 Zipei Yan , Zhengji Liu , Jizhou Li

We propose a new approach for non-Cartesian magnetic resonance image reconstruction. While unrolled architectures provide robustness via data-consistency layers, embedding measurement operators in Deep Neural Network (DNN) can become…

Image and Video Processing · Electrical Eng. & Systems 2024-05-29 Yiwei Chen , Chao Tang , Amir Aghabiglou , Chung San Chu , Yves Wiaux

This paper develops new theory and algorithms to recover signals that are approximately sparse in some general dictionary (i.e., a basis, frame, or over-/incomplete matrix) but corrupted by a combination of interference having a sparse…

Information Theory · Computer Science 2013-09-06 Christoph Studer , Richard G. Baraniuk

Patient scans from MRI often suffer from noise, which hampers the diagnostic capability of such images. As a method to mitigate such artifact, denoising is largely studied both within the medical imaging community and beyond the community…

Image and Video Processing · Electrical Eng. & Systems 2022-03-25 Hyungjin Chung , Eun Sun Lee , Jong Chul Ye

This article describes a fast iterative algorithm for image denoising and deconvolution with signal-dependent observation noise. We use an optimization strategy based on variable splitting that adapts traditional Gaussian noise-based…

Computer Vision and Pattern Recognition · Computer Science 2012-04-16 Ayan Chakrabarti , Todd Zickler

Randomized smoothing (RS) is an effective and scalable technique for constructing neural network classifiers that are certifiably robust to adversarial perturbations. Most RS works focus on training a good base model that boosts the…

Machine Learning · Computer Science 2021-09-20 Chen Chen , Kezhi Kong , Peihong Yu , Juan Luque , Tom Goldstein , Furong Huang

Implicit Neural Representations (INRs) are widely used for modeling continuous 2D images, enabling high-fidelity reconstruction, super-resolution, and compression. Architectures such as SIREN, WIRE, and FINER demonstrate their ability to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-26 Weronika Jakubowska , Mikołaj Zieliński , Rafał Tobiasz , Krzysztof Byrski , Maciej Zięba , Dominik Belter , Przemysław Spurek

The approximation and convergence properties of implicit neural representations (INRs) are known to be highly sensitive to parameter initialization strategies. While several data-driven initialization methods demonstrate significant…

Computer Vision and Pattern Recognition · Computer Science 2026-04-01 Kushal Vyas , Alper Kayabasi , Daniel Kim , Vishwanath Saragadam , Ashok Veeraraghavan , Guha Balakrishnan

Deep learning (DL) methods have emerged as a powerful tool for the inversion of geophysical data. When applied to field data, these models often struggle without additional fine-tuning of the network. This is because they are built on the…

Machine Learning · Computer Science 2024-10-29 Koustav Ghosal , Arun Singh , Samir Malakar , Shalivahan Srivastava , Deepak Gupta

The Steered Mixture of Experts regression framework has demonstrated strong performance in image reconstruction, compression, denoising, and super-resolution. However, its high computational cost limits practical applications. This work…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Yi-Hsin Li , Mårten Sjöström , Sebastian Knorr , Thomas Sikora

With sufficient paired training samples, the supervised deep learning methods have attracted much attention in image denoising because of their superior performance. However, it is still very challenging to widely utilize the supervised…

Computer Vision and Pattern Recognition · Computer Science 2023-08-01 Yizhong Pan , Xiao Liu , Xiangyu Liao , Yuanzhouhan Cao , Chao Ren

Seismic data often undergoes severe noise due to environmental factors, which seriously affects subsequent applications. Traditional hand-crafted denoisers such as filters and regularizations utilize interpretable domain knowledge to design…

Signal Processing · Electrical Eng. & Systems 2023-04-21 Zitai Xu , Yisi Luo , Bangyu Wu , Deyu Meng

Real noisy-clean pairs on a large scale are costly and difficult to obtain. Meanwhile, supervised denoisers trained on synthetic data perform poorly in practice. Self-supervised denoisers, which learn only from single noisy images, solve…

Image and Video Processing · Electrical Eng. & Systems 2023-05-09 Zejin Wang , Jiazheng Liu , Guoqing Li , Hua Han

We present a computational and statistical approach for fitting isotonic models under convex differentiable loss functions. We offer a recursive partitioning algorithm which provably and efficiently solves isotonic regression under any such…

Methodology · Statistics 2012-10-09 Ronny Luss , Saharon Rosset

This paper studies the problem of accurately recovering a structured signal from a small number of corrupted sub-Gaussian measurements. We consider three different procedures to reconstruct signal and corruption when different kinds of…

Information Theory · Computer Science 2017-09-19 Jinchi Chen , Yulong Liu
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