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Bayesian Non-negative Matrix Factorization (NMF) is a promising approach for understanding uncertainty and structure in matrix data. However, a large volume of applied work optimizes traditional non-Bayesian NMF objectives that fail to…

机器学习 · 统计学 2018-03-19 M. Arjumand Masood , Finale Doshi-Velez

Magnetic Particle Imaging is an emerging imaging modality through which it is possible to detect tracers containing superparamagnetic nanoparticles. The exposure of the particles to dynamic magnetic fields generates a non-linear response…

数值分析 · 数学 2024-06-19 Vladyslav Gapyak , Thomas März , Andreas Weinmann

Magnetic particle imaging is a tracer based imaging technique to determine the spatial distribution of superparamagnetic iron oxide nanoparticles with a high spatial and temporal resolution. Due to physiological constraints, the imaging…

医学物理 · 物理学 2022-05-03 Nadine Gdaniec , Marija Boberg , Martin Möddel , Patryk Szwargulski , Tobias Knopp

Positron emission tomography (PET) offers powerful functional imaging but involves radiation exposure. Efforts to reduce this exposure by lowering the radiotracer dose or scan time can degrade image quality. While using magnetic resonance…

计算机视觉与模式识别 · 计算机科学 2026-02-13 Yingkai Zhang , Shuang Chen , Ye Tian , Yunyi Gao , Jianyong Jiang , Ying Fu

Linear dimensionality reduction techniques, notably principal component analysis, are widely used in climate data analysis as a means to aid in the interpretation of datasets of high dimensionality. These linear methods may not be…

大气与海洋物理 · 物理学 2009-01-06 Ian Ross

We present the development of a new algorithm which combines state-of-the-art energy-dispersive X-ray (EDX) spectroscopy theory and a suitable machine learning formulation for the hyperspectral unmixing of scanning transmission electron…

Identifying unique parameters for mathematical models describing biological data can be challenging and often impossible. Parameter identifiability for partial differential equations models in cell biology is especially difficult given that…

Positron emission tomography (PET) is a classical imaging technique to reconstruct the mass distribution of a radioactive material. If the mass distribution is static, this essentially leads to inversion of the X-ray transform. However, if…

最优化与控制 · 数学 2023-11-30 Marco Mauritz , Bernhard Schmitzer , Benedikt Wirth

Positron Emission Tomography using 2-[18F]-2deoxy-D-glucose as radiotracer (FDG-PET) is currently one of the most frequently applied functional imaging methods in clinical applications. The interpretation of FDG-PET data requires…

组织与器官 · 定量生物学 2020-01-22 Michele Piana , Giacomo Caviglia , Sara Sommariva

An algorithm is described and tested that carries out a non negative matrix factorization (NMF) ignoring any stretching of the signal along the axis of the independent variable. This extended NMF model is called StretchedNMF. Variability in…

The present paper proposes a novel computational method for parametric imaging of nuclear medicine data. The mathematical procedure is general enough to work for compartmental models of diverse complexity and is effective in the…

组织与器官 · 定量生物学 2017-05-15 Mara Scussolini , Sara Garbarino , Gianmario Sambuceti , Giacomo Caviglia , Michele Piana

Hyperspectral unmixing aims at decomposing a given signal into its spectral signatures and its associated fractional abundances. To improve the accuracy of this decomposition, algorithms have included different assumptions depending on the…

This work deals with the reconstruction of dynamic images that incorporate characteristic dynamics in certain subregions, as arising for the kinetics of many tracers in emission tomography (SPECT, PET). We make use of a basis function…

数值分析 · 数学 2016-08-24 Martin Burger , Carolin Rossmanith , Xiaoqun Zhang

We proposed a novel approach to coherent imaging of dynamic samples. The inter-frame similarity of the sample's local structures is found to be a powerful constraint in phasing a sequence of diffraction patterns. We devised a new image…

光学 · 物理学 2024-07-11 Pengju Sheng , Fucai Zhang

Deep learning-based image fusion approaches have obtained wide attention in recent years, achieving promising performance in terms of visual perception. However, the fusion module in the current deep learning-based methods suffers from two…

计算机视觉与模式识别 · 计算机科学 2022-02-01 Dongyu Rao , Xiao-Jun Wu , Tianyang Xu , Guoyang Chen

The purpose of this article is to develop the dimension reduction techniques in panel data analysis when the number of individuals and indicators is large. We use Principal Component Analysis (PCA) method to represent large number of…

统计方法学 · 统计学 2017-01-10 Guobin Fang , Kani Chen , Bo Zhang

A novel extension of Independent Component and Independent Vector Analysis for blind extraction/separation of one or several sources from time-varying mixtures is proposed. The mixtures are assumed to be separable source-by-source in series…

信号处理 · 电气工程与系统科学 2021-05-12 Zbyněk Koldovský , Václav Kautský , Petr Tichavský

We propose novel methods for predictive (sparse) PCA with spatially misaligned data. These methods identify principal component loading vectors that explain as much variability in the observed data as possible, while also ensuring the…

统计方法学 · 统计学 2015-09-04 Roman A. Jandarov , Lianne A. Sheppard , Paul D. Sampson , Adam A. Szpiro

Dynamic Positron Emission Tomography (dPET) imaging and Time-Activity Curve (TAC) analyses are essential for understanding and quantifying the biodistribution of radiopharmaceuticals over time and space. Traditional compartmental modeling,…

机器学习 · 计算机科学 2024-06-03 Niloufar Zakariaei , Arman Rahmim , Eldad Haber

Hyperspectral analysis has gained popularity over recent years as a way to infer what materials are displayed on a picture whose pixels consist of a mixture of spectral signatures. Computing both signatures and mixture coefficients is known…

最优化与控制 · 数学 2017-06-29 Adrien Faivre , Clément Dombry