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When dealing with a parametric statistical model, a Riemannian manifold can naturally appear by endowing the parameter space with the Fisher information metric. The geometry induced on the parameters by this metric is then referred to as…

Positron Emission Tomography (PET) scan images are one of the bio medical imaging techniques similar to that of MRI scan images but PET scan images are helpful in finding the development of tumors.The PET scan images requires expertise in…

神经与进化计算 · 计算机科学 2013-02-27 A. Meena , K. Raja

Improving the precision of heart diseases detection has been investigated by many researchers in the literature. Such improvement induced by the overwhelming health care expenditures and erroneous diagnosis. As a result, various…

计算机与社会 · 计算机科学 2018-03-29 Israa Ahmed Zriqat , Ahmad Mousa Altamimi , Mohammad Azzeh

The histogram of an image is the accurate graphical representation of the numerical grayscale distribution and it is also an estimate of the probability distribution of image pixels. Therefore, histogram has been widely adopted to calculate…

图像与视频处理 · 电气工程与系统科学 2025-04-02 ZhenZhou Wang

Statistical inference more often than not involves models which are non-linear in the parameters thus leading to non-Gaussian posteriors. Many computational and analytical tools exist that can deal with non-Gaussian distributions, and…

广义相对论与量子宇宙学 · 物理学 2021-01-20 Eileen Giesel , Robert Reischke , Björn Malte Schäfer , Dominic Chia

We consider the problems of clustering, classification, and visualization of high-dimensional data when no straightforward Euclidean representation exists. Typically, these tasks are performed by first reducing the high-dimensional data to…

机器学习 · 统计学 2009-09-29 Kevin M. Carter , Raviv Raich , William G. Finn , Alfred O. Hero

Early and accessible detection of Alzheimer's disease (AD) remains a critical clinical challenge, and cube-copying tasks offer a simple yet informative assessment of visuospatial function. This work proposes a multimodal framework that…

机器学习 · 计算机科学 2025-12-19 Jaeho Yang , Kijung Yoon

We present an identity for an unbiased estimate of a general statistical distribution. The identity computes the distribution density from dividing a histogram sum over a local window by a correction factor from a mean-force integral, and…

计算物理 · 物理学 2012-06-04 Cheng Zhang , Jianpeng Ma

Diagnostic imaging has gained prominence as potential biomarkers for early detection and diagnosis in a diverse array of disorders including cancer. However, existing methods routinely face challenges arising from various factors such as…

The use of machine learning algorithms in healthcare can amplify social injustices and health inequities. While the exacerbation of biases can occur and compound during the problem selection, data collection, and outcome definition, this…

机器学习 · 计算机科学 2024-02-26 Nabil Kahouadji

This work proposes the use of Genetic Algorithms (GA) in tracing and recognizing the pericardium contour of the human heart using Computed Tomography (CT) images. We assume that each slice of the pericardium can be modelled by an ellipse,…

图像与视频处理 · 电气工程与系统科学 2022-08-31 E. O. Rodrigues , L. O. Rodrigues , L. S. N. Oliveira , A. Conci , P. Liatsis

Biological systems often exhibit a heterogeneous arrangement of objects, such as assorted nuclear chromatin patterns in a tumor, assorted species of bacteria in biofilms, or assorted aggregates of subcellular particles. Principle Component…

定量方法 · 定量生物学 2017-08-29 David H Nguyen

Health informatics deal with the methods used to optimize the acquisition, storage and retrieval of medical data, and classify information in healthcare applications. Healthcare analysts are particularly interested in various computer…

信息检索 · 计算机科学 2014-02-11 Farrukh Arslan

We introduce the information geometry module of the Python package Geomstats. The module first implements Fisher-Rao Riemannian manifolds of widely used parametric families of probability distributions, such as normal, gamma, beta,…

机器学习 · 计算机科学 2022-11-22 Alice Le Brigant , Jules Deschamps , Antoine Collas , Nina Miolane

The family $\mathcal{N}$ of $n$-variate normal distributions is parameterized by the cone of positive definite symmetric $n\times n$-matrices and the $n$-dimensional real vector space. Equipped with the Fisher information metric,…

信息论 · 计算机科学 2019-05-01 Wolfgang Globke , Raul Quiroga-Barranco

We propose a new model-based computer-aided diagnosis (CAD) system for tumor detection and classification (cancerous v.s. benign) in breast images. Specifically, we show that (x-ray, ultrasound and MRI) images can be accurately modeled by…

人工智能 · 计算机科学 2009-06-22 Nidhal Bouaynaya , Jerzy Zielinski , Dan Schonfeld

Wasserstein geometry and information geometry are two important structures to be introduced in a manifold of probability distributions. Wasserstein geometry is defined by using the transportation cost between two distributions, so it…

统计理论 · 数学 2021-01-01 Shun-ichi Amari , Takeru Matsuda

One of the significant problems associated with imbalanced data classification is the lack of reliable metrics. This runs primarily from the fact that for most real-life (as well as commonly used benchmark) problems, we do not have…

机器学习 · 计算机科学 2024-04-16 Szymon Wojciechowski , Michał Woźniak

Information geometry is the application of differential geometry in statistics, where the Fisher-Rao metric serves as the Riemannian metric on the statistical manifold, providing an intrinsic property for parameter sensitivity. In this…

量子物理 · 物理学 2024-07-25 Wangjun Lu , Zhao-Hui Peng , HongTao

This paper rethinks image histogram matching (HM) and proposes a differentiable and parametric HM preprocessing for a downstream classifier. Convolutional neural networks have demonstrated remarkable achievements in classification tasks.…

计算机视觉与模式识别 · 计算机科学 2025-06-03 Rikuto Otsuka , Yuho Shoji , Yuka Ogino , Takahiro Toizumi , Atsushi Ito
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