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The iterative refinement method (IRM) has been very successfully applied in many different fields for examples the modern quantum chemical calculation and CT image reconstruction. It is proved that the refinement method can create an exact…

Medical Physics · Physics 2015-12-23 Kang Yang , Kevin Yang , Xintie Yang , Shuang-Ren Zhao

The application of information theory in medical imaging, particularly in magnetic resonance imaging (MRI), offers powerful quantitative tools for analyzing structural differences in brain tissues. This study utilizes mutual information…

Medical Physics · Physics 2025-05-13 Mazaher Kabiri , Shahd Qasem Mahd Tarman

This study aims to quantify and visualize the degradation of fidelity (information degradation) that inevitably accompanies the replication of information within the framework of information thermodynamics and to propose an…

Mathematical Physics · Physics 2025-11-20 Tatsuaki Tsuruyama

Distributed computation in artificial life and complex systems is often described in terms of component operations on information: information storage, transfer and modification. Information modification remains poorly described however,…

Information Theory · Computer Science 2013-10-10 Joseph T. Lizier , Benjamin Flecker , Paul L. Williams

Analysing how information flows along the layers of a multilayer perceptron is a topic of paramount importance in the field of artificial neural networks. After framing the problem from the point of view of information theory, in this…

Information Theory · Computer Science 2025-10-17 Giuliano Armano

Real-time magnetic resonance imaging (MRI) methods generally shorten the measuring time by acquiring less data than needed according to the sampling theorem. In order to obtain a proper image from such undersampled data, the reconstruction…

Numerical Analysis · Mathematics 2013-12-05 Housen Li , Markus Haltmeier , Shuo Zhang , Jens Frahm , Axel Munk

We develop an information-theoretic approach to isoperimetric inequalities based on entropy dissipation under heat flow. By viewing diffusion as a noisy information channel, we measure how mutual information about set membership decays over…

Differential Geometry · Mathematics 2025-11-20 Amandip Sangha

The field of medical image reconstruction has seen roughly four types of methods. The first type tended to be analytical methods, such as filtered back-projection (FBP) for X-ray computed tomography (CT) and the inverse Fourier transform…

Image and Video Processing · Electrical Eng. & Systems 2019-08-19 Saiprasad Ravishankar , Jong Chul Ye , Jeffrey A. Fessler

In many real world problems, optimization decisions have to be made with limited information. The decision maker may have no a priori or posteriori data about the often nonconvex objective function except from on a limited number of points…

Optimization and Control · Mathematics 2011-11-10 Tansu Alpcan

The entropy of a pair of random variables is commonly depicted using a Venn diagram. This representation is potentially misleading, however, since the multivariate mutual information can be negative. This paper presents new measures of…

Information Theory · Computer Science 2020-04-22 Conor Finn , Joseph T. Lizier

Free-running Recurrent Neural Networks (RNNs), especially probabilistic models, generate an ongoing information flux that can be quantified with the mutual information $I\left[\vec{x}(t),\vec{x}(t\!+\!1)\right]$ between subsequent system…

Neurons and Cognition · Quantitative Biology 2023-10-18 Claus Metzner , Marius E. Yamakou , Dennis Voelkl , Achim Schilling , Patrick Krauss

Neural information retrieval (IR) systems have progressed rapidly in recent years, in large part due to the release of publicly available benchmarking tasks. Unfortunately, some dimensions of this progress are illusory: the majority of the…

The revolution in materials in the past century was built on a knowledge of the atomic arrangements and the structure-property relationship. The sine qua non for obtaining quantitative structural information is single crystal…

Computational Physics · Physics 2023-12-27 Gabe Guo , Judah Goldfeder , Ling Lan , Aniv Ray , Albert Hanming Yang , Boyuan Chen , Simon JL Billinge , Hod Lipson

In multi-contrast magnetic resonance imaging (MRI), compressed sensing theory can accelerate imaging by sampling fewer measurements within each contrast. The conventional optimization-based models suffer several limitations: strict…

Computer Vision and Pattern Recognition · Computer Science 2019-10-02 Liyan Sun , Zhiwen Fan , Yue Huang , Xinghao Ding , John Paisley

Multi-energy X-ray tomography is studied for decomposing three materials using three X-ray energies and a classical energy-integrating detector. A novel regularization term comprises inner products between the material distribution…

In many inertial confinement fusion experiments, the neutron yield and other parameters cannot be completely accounted for with one and two dimensional models. This discrepancy suggests that there are three dimensional effects which may be…

Computer Vision and Pattern Recognition · Computer Science 2023-02-22 Bradley T. Wolfe , Michael J. Falato , Xinhua Zhang , Nga T. T. Nguyen-Fotiadis , J. P. Sauppe , P. M. Kozlowski , P. A. Keiter , R. E. Reinovsky , S. A. Batha , Zhehui Wang

We show state-of-the-art word representation learning methods maximize an objective function that is a lower bound on the mutual information between different parts of a word sequence (i.e., a sentence). Our formulation provides an…

Computation and Language · Computer Science 2019-11-27 Lingpeng Kong , Cyprien de Masson d'Autume , Wang Ling , Lei Yu , Zihang Dai , Dani Yogatama

Magnetic resonance imaging (MRI) exam protocols consist of multiple contrast-weighted images of the same anatomy to emphasize different tissue properties. Due to the long acquisition times required to collect fully sampled k-space…

Image and Video Processing · Electrical Eng. & Systems 2023-06-08 Brett Levac , Ajil Jalal , Kannan Ramchandran , Jonathan I. Tamir

Synchrotron-based X-ray computed tomography is widely used for investigating inner structures of specimens at high spatial resolutions. However, potential beam damage to samples often limits the X-ray exposure during tomography experiments.…

Image and Video Processing · Electrical Eng. & Systems 2020-09-30 Ziling Wu , Tekin Bicer , Zhengchun Liu , Vincent De Andrade , Yunhui Zhu , Ian T. Foster

X-ray spectroscopy is a powerful technique for the analysis of the energy distribution of X-rays from astrophysical sources. It allows for the study of the properties, composition, and physical processes taking place at the site of…

High Energy Astrophysical Phenomena · Physics 2023-09-22 L. Ducci , C. Malacaria