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Graphical models describe associations between variables through the notion of conditional independence. Gaussian graphical models are a widely used class of such models where the relationships are formalized by non-null entries of the…

Methodology · Statistics 2023-08-08 Sagnik Bhadury , Riten Mitra , Jeremy T. Gaskins

To obtain high-quality positron emission tomography (PET) scans while reducing radiation exposure to the human body, various approaches have been proposed to reconstruct standard-dose PET (SPET) images from low-dose PET (LPET) images. One…

Image and Video Processing · Electrical Eng. & Systems 2023-08-22 Zeyu Han , Yuhan Wang , Luping Zhou , Peng Wang , Binyu Yan , Jiliu Zhou , Yan Wang , Dinggang Shen

Dynamic prediction, which typically refers to the prediction of future outcomes using historical records, is often of interest in biomedical research. For datasets with large sample sizes, high measurement density, and complex correlation…

Methodology · Statistics 2024-12-04 Ying Jin , Andrew Leroux

Generating functions, which are widely used in combinatorics and probability theory, encode function values into the coefficients of a polynomial. In this paper, we explore their use as a tractable probabilistic model, and propose…

Artificial Intelligence · Computer Science 2021-06-15 Honghua Zhang , Brendan Juba , Guy Van den Broeck

Probabilistic graphical models (PGMs) are powerful tools for representing statistical dependencies through graphs in high-dimensional systems. However, they are limited to pairwise interactions. In this work, we propose the simplicial…

Machine Learning · Statistics 2025-10-16 Lorenzo Marinucci , Gabriele D'Acunto , Paolo Di Lorenzo , Sergio Barbarossa

Direct reconstruction methods have been developed to estimate parametric images directly from the measured PET sinograms by combining the PET imaging model and tracer kinetics in an integrated framework. Due to limited counts received,…

Image and Video Processing · Electrical Eng. & Systems 2021-06-22 Kuang Gong , Ciprian Catana , Jinyi Qi , Quanzheng Li

Recent 3D feed-forward models, such as the Visual Geometry Grounded Transformer (VGGT), have shown strong capability in inferring 3D attributes of static scenes. However, since they are typically trained on static datasets, these models…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Kaichen Zhou , Yuhan Wang , Grace Chen , Xinhai Chang , Gaspard Beaudouin , Fangneng Zhan , Paul Pu Liang , Mengyu Wang

In image reconstruction, an accurate quantification of uncertainty is of great importance for informed decision making. Here, the Bayesian approach to inverse problems can be used: the image is represented through a random function that…

Numerical Analysis · Mathematics 2025-04-24 Jonas Latz , Aretha L. Teckentrup , Simon Urbainczyk

We propose a novel dynamic image reconstruction method from PET listmode data that could be particularly suited to tracking single or small numbers of cells. In contrast to conventional PET reconstruction our method combines the information…

Computer Vision and Pattern Recognition · Computer Science 2019-11-25 Bernhard Schmitzer , Klaus P. Schäfers , Benedikt Wirth

Dynamic scene reconstruction in autonomous driving remains a fundamental challenge due to significant temporal variations, moving objects, and complex scene dynamics. Existing feed-forward 3D models have demonstrated strong performance in…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Zhuolin He , Jing Li , Guanghao Li , Xiaolei Chen , Jiacheng Tang , Siyang Zhang , Zhounan Jin , Feipeng Cai , Bin Li , Jian Pu , Jia Cai , Xiangyang Xue

We present the Deep Convolutional Gaussian Mixture Model (DCGMM), a new probabilistic approach for image modeling capable of density estimation, sampling and tractable inference. DCGMM instances exhibit a CNN-like layered structure, in…

Machine Learning · Computer Science 2022-03-22 Alexander Gepperth

Diffusion models are the current state of the art for generating photorealistic images. Controlling the sampling process for constrained image generation tasks such as inpainting, however, remains challenging since exact conditioning on…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Anji Liu , Mathias Niepert , Guy Van den Broeck

Probabilistic Graphical Models are often used to understand dynamics of a system. They can model relationships between features (nodes) and the underlying distribution. Theoretically these models can represent very complex dependency…

Machine Learning · Computer Science 2023-08-21 Harsh Shrivastava , Urszula Chajewska

Anatomically guided PET reconstruction using MRI information has been shown to have the potential to improve PET image quality. However, these improvements are limited to PET scans with paired MRI information. In this work we employed a…

Image and Video Processing · Electrical Eng. & Systems 2024-03-28 Weijie Gan , Huidong Xie , Carl von Gall , Günther Platsch , Michael T. Jurkiewicz , Andrea Andrade , Udunna C. Anazodo , Ulugbek S. Kamilov , Hongyu An , Jorge Cabello

Probabilistic Circuits (PCs) are a promising avenue for probabilistic modeling. They combine advantages of probabilistic graphical models (PGMs) with those of neural networks (NNs). Crucially, however, they are tractable probabilistic…

Machine Learning · Computer Science 2021-06-07 Anji Liu , Guy Van den Broeck

Recent years have seen a rapid expansion of the model space explored in statistical phylogenetics, emphasizing the need for new approaches to statistical model representation and software development. Clear communication and representation…

Populations and Evolution · Quantitative Biology 2013-12-10 Sebastian Höhna , Tracy A. Heath , Bastien Boussau , Michael J. Landis , Fredrik Ronquist , John P. Huelsenbeck

Positron emission tomography (PET) is widely utilized for cancer detection due to its ability to visualize functional and biological processes in vivo. PET images are usually reconstructed from histogrammed raw data (sinograms) using…

Image and Video Processing · Electrical Eng. & Systems 2024-11-26 Yiran Sun , Osama Mawlawi

Deep learning-based reconstruction of positron emission tomography(PET) data has gained increasing attention in recent years. While these methods achieve fast reconstruction,concerns remain regarding quantitative accuracy and the presence…

This paper presents a novel image reconstruction pipeline for three-gamma (3-{\gamma}) positron emission tomography (PET) aimed at improving spatial resolution and reducing noise in nuclear medicine; the proposed Direct3{\gamma} pipeline…

Medical Physics · Physics 2025-06-23 Youness Mellak , Alexandre Bousse , Thibaut Merlin , Debora Giovagnoli , Dimitris Visvikis

The design space of discrete-space diffusion or flow generative models are significantly less well-understood than their continuous-space counterparts, with many works focusing only on a simple masked construction. In this work, we aim to…