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Diffusion models (DMs) have emerged as powerful tools for modeling complex data distributions and generating realistic new samples. Over the years, advanced architectures and sampling methods have been developed to make these models…

Machine Learning · Computer Science 2025-12-11 Roi Benita , Michael Elad , Joseph Keshet

Conventional nuclear magnetic resonance (NMR) spectroscopy relies on acquiring signal from a macroscopic ensemble of molecules to gain information about molecular structure and dynamics. Transferring this technique to nanoscale sample sizes…

Mesoscale and Nanoscale Physics · Physics 2019-02-06 Jeffrey Holzgrafe , Qiushi Gu , Jan Beitner , Dhiren Kara , Helena S. Knowles , Mete Atatüre

In many scientific applications, measured time series are corrupted by noise or distortions. Traditional denoising techniques often fail to recover the signal of interest, particularly when the signal-to-noise ratio is low or when certain…

Machine Learning · Computer Science 2022-11-02 Natalie Klein , Amber J. Day , Harris Mason , Michael W. Malone , Sinead A. Williamson

Deep learning has emerged as a promising approach for learning the nonlinear mapping between diffusion-weighted MR images and tissue parameters, which enables automatic and deep understanding of the brain microstructures. However, the…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Wenxin Fan , Jian Cheng , Qiyuan Tian , Ruoyou Wu , Juan Zou , Zan Chen , Shanshan Wang

Denoising diffusion models have found applications in image segmentation by generating segmented masks conditioned on images. Existing studies predominantly focus on adjusting model architecture or improving inference, such as test-time…

Image and Video Processing · Electrical Eng. & Systems 2023-12-11 Yunguan Fu , Yiwen Li , Shaheer U Saeed , Matthew J Clarkson , Yipeng Hu

The ability to reconstruct high-quality images from undersampled MRI data is vital in improving MRI temporal resolution and reducing acquisition times. Deep learning methods have been proposed for this task, but the lack of verified methods…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Samah Khawaled , Moti Freiman

Characterizing uncertainty is a common issue in nuclear measurement and has important implications for reliable physical discovery. Traditional methods are either insufficient to cope with the heterogeneous nature of uncertainty or…

Data Analysis, Statistics and Probability · Physics 2022-03-01 Pengcheng Ai , Zhi Deng , Yi Wang , Chendi Shen

Diffusion-based inpainting is a powerful tool for the reconstruction of images from sparse data. Its quality strongly depends on the choice of known data. Optimising their spatial location -- the inpainting mask -- is challenging. A…

Image and Video Processing · Electrical Eng. & Systems 2022-05-17 Tobias Alt , Pascal Peter , Joachim Weickert

A procedure is described for storing a 2D pattern consisting of 32x32 = 1024 bits in a spin state of a molecular system and then retrieving the stored information as a stack of NMR spectra. The system used is a nematic liquid crystal, the…

Quantum Physics · Physics 2007-05-23 Anatoly K. Khitrin , Vladimir L. Ermakov , B. M. Fung

Image restoration aims to recover high-quality images from degraded observations. When the degradation process is known, the recovery problem can be formulated as an inverse problem, and in a Bayesian context, the goal is to sample a clean…

Image and Video Processing · Electrical Eng. & Systems 2025-10-13 Darshan Thaker , Abhishek Goyal , René Vidal

The study of structure-spectrum relationships is essential for spectral interpretation, impacting structural elucidation and material design. Predicting spectra from molecular structures is challenging due to their complex relationships.…

Computational Physics · Physics 2024-08-29 Fanjie Xu , Wentao Guo , Feng Wang , Lin Yao , Hongshuai Wang , Fujie Tang , Zhifeng Gao , Linfeng Zhang , Weinan E , Zhong-Qun Tian , Jun Cheng

Fiber tractography is an important tool of computational neuroscience that enables reconstructing the spatial connectivity and organization of white matter of the brain. Fiber tractography takes advantage of diffusion Magnetic Resonance…

Image and Video Processing · Electrical Eng. & Systems 2020-09-08 Tomer Weiss , Sanketh Vedula , Ortal Senouf , Oleg Michailovich , AlexBronstein

A coarse-grained simulation method to predict NMR spectra of ions diffusing in porous carbons is proposed. The coarse-grained model uses input from molecular dynamics simulations such as the free-energy profile for ionic adsorption, and…

Materials Science · Physics 2015-06-23 Céline Merlet , Alexander C. Forse , John M. Griffin , Daan Frenkel , Clare P. Grey

Inverse problems, such as accelerated MRI reconstruction, are ill-posed and an infinite amount of possible and plausible solutions exist. This may not only lead to uncertainty in the reconstructed image but also in downstream tasks such as…

Image and Video Processing · Electrical Eng. & Systems 2024-07-26 Jan Nikolas Morshuis , Matthias Hein , Christian F. Baumgartner

In relation to recent experimental data [1], we develop a theory framework for demonstrating the feasibility of detecting sharp Nuclear Magnetic Resonance (NMR) oscillations in a real time ESR data. The procedure is to follow real time…

Mesoscale and Nanoscale Physics · Physics 2025-09-04 Baruch Horovitz , Alexander Shnirman

Nuclear Magnetic Resonance (NMR) spectroscopy is one of the major techniques in structural biology with over 11,800 protein structures deposited in the Protein Data Bank. NMR can elucidate structures and dynamics of small and medium size…

Biomolecules · Quantitative Biology 2023-01-11 Piotr Klukowski , Roland Riek , Peter Güntert

Recently, diffusion models (DM) have been applied in magnetic resonance imaging (MRI) super-resolution (SR) reconstruction, exhibiting impressive performance, especially with regard to detailed reconstruction. However, the current DM-based…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Guangyuan Li , Chen Rao , Juncheng Mo , Zhanjie Zhang , Wei Xing , Lei Zhao

Autonomous synthesis and characterization of inorganic materials requires the automatic and accurate analysis of X-ray diffraction spectra. For this task, we designed a probabilistic deep learning algorithm to identify complex multi-phase…

Materials Science · Physics 2021-05-27 Nathan J. Szymanski , Christopher J. Bartel , Yan Zeng , Qingsong Tu , Gerbrand Ceder

Image denoising is a fundamental and challenging task in the field of computer vision. Most supervised denoising methods learn to reconstruct clean images from noisy inputs, which have intrinsic spectral bias and tend to produce…

Computer Vision and Pattern Recognition · Computer Science 2023-09-20 Yujin Wang , Lingen Li , Tianfan Xue , Jinwei Gu

Decoding visual stimuli from neural responses recorded by functional Magnetic Resonance Imaging (fMRI) presents an intriguing intersection between cognitive neuroscience and machine learning, promising advancements in understanding human…

Computer Vision and Pattern Recognition · Computer Science 2023-12-29 Jingyuan Sun , Mingxiao Li , Zijiao Chen , Yunhao Zhang , Shaonan Wang , Marie-Francine Moens