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We propose a framework of principal manifolds to model high-dimensional data. This framework is based on Sobolev spaces and designed to model data of any intrinsic dimension. It includes principal component analysis and principal curve…

Methodology · Statistics 2021-03-30 Kun Meng , Ani Eloyan

Classification models for the automatic detection of abnormalities on histological samples do exists, with an active debate on the cost associated with false negative diagnosis (underdiagnosis) and false positive diagnosis (overdiagnosis).…

Computer Vision and Pattern Recognition · Computer Science 2015-05-18 Giancarlo Crocetti , Michael Coakley , Phil Dressner , Wanda Kellum , Tamba Lamin

Motivation: Biomarker discovery from high-dimensional data is a crucial problem with enormous applications in biology and medicine. It is also extremely challenging from a statistical viewpoint, but surprisingly few studies have…

Quantitative Methods · Quantitative Biology 2012-09-17 Anne-Claire Haury , Pierre Gestraud , Jean-Philippe Vert

Cancer is a leading cause of death in many countries. An early diagnosis of cancer based on biomedical imaging ensures effective treatment and a better prognosis. However, biomedical imaging presents challenges to both clinical institutions…

Computer Vision and Pattern Recognition · Computer Science 2023-01-24 Hosein Barzekar , Yash Patel , Ling Tong , Zeyun Yu

Machine learning (ML) methods have the potential to automate clinical EEG analysis. They can be categorized into feature-based (with handcrafted features), and end-to-end approaches (with learned features). Previous studies on EEG pathology…

Hypothesis testing is a statistical inference approach used to determine whether data supports a specific hypothesis. An important type is the two-sample test, which evaluates whether two sets of data points are from identical…

Machine Learning · Computer Science 2025-01-08 Weizhi Li , Visar Berisha , Gautam Dasarathy

Machine learning (ML) systems for medical imaging have demonstrated remarkable diagnostic capabilities, but their susceptibility to biases poses significant risks, since biases may negatively impact generalization performance. In this…

Machine Learning · Computer Science 2025-04-29 Haroui Ma , Francesco Quinzan , Theresa Willem , Stefan Bauer

The principles of measuring the shapes of galaxies by a model-fitting approach are discussed in the context of shape-measurement for surveys of weak gravitational lensing. It is argued that such an approach should be optimal, allowing…

Astrophysics · Physics 2009-11-13 L. Miller , T. D. Kitching , C. Heymans , A. F. Heavens , L. Van Waerbeke

The standard diagnostic procedures for targeted therapies in lung cancer treatment involve histological subtyping and subsequent detection of key driver mutations, such as EGFR. Even though molecular profiling can uncover the driver…

Computer Vision and Pattern Recognition · Computer Science 2023-03-14 Ravi Kant Gupta , Shivani Nandgaonkar , Nikhil Cherian Kurian , Swapnil Rane , Amit Sethi

Generative models are becoming popular for the synthesis of medical images. Recently, neural diffusion models have demonstrated the potential to generate photo-realistic images of objects. However, their potential to generate medical images…

Image and Video Processing · Electrical Eng. & Systems 2022-11-03 Hazrat Ali , Shafaq Murad , Zubair Shah

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…

Histopathological images (HIs) are the gold standard for evaluating some types of tumors for cancer diagnosis. The analysis of such images is not only time and resource consuming, but also very challenging even for experienced pathologists,…

Computer Vision and Pattern Recognition · Computer Science 2021-02-09 Jonathan de Matos , Steve Tsham Mpinda Ataky , Alceu de Souza Britto , Luiz Eduardo Soares de Oliveira , Alessandro Lameiras Koerich

We propose a new statistical hypothesis testing framework which decides visually, using confidence intervals, whether the means of two samples are equal or if one is larger than the other. With our method, the user can at the same time…

Statistics Theory · Mathematics 2025-03-06 Timothée Mathieu

Tools of Topological Data Analysis provide stable summaries encapsulating the shape of the considered data. Persistent homology, the most standard and well studied data summary, suffers a number of limitations; its computations are hard to…

Algebraic Topology · Mathematics 2023-11-21 Paweł Dłotko , Davide Gurnari

Statistical shape modeling is the computational process of discovering significant shape parameters from segmented anatomies captured by medical images (such as MRI and CT scans), which can fully describe subject-specific anatomy in the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-01 Krithika Iyer , Shireen Elhabian

For most if not all cancers, prognosis is of significant importance, and extensive modeling research has been conducted. With the genetic nature of cancer, in the past two decades, multiple types of molecular data (such as gene expressions…

Applications · Statistics 2020-06-09 Sanguo Zhang , Yu Fan , Tingyan Zhong , Shuangge Ma

Manual segmentation of medical images (e.g., segmenting tumors in CT scans) is a high-effort task that can be accelerated with machine learning techniques. However, selecting the right segmentation approach depends on the evaluation…

Computer Vision and Pattern Recognition · Computer Science 2023-02-09 Seyed M. R. Modaresi , Aomar Osmani , Mohammadreza Razzazi , Abdelghani Chibani

Classical tests of goodness-of-fit aim to validate the conformity of a postulated model to the data under study. Given their inferential nature, they can be considered a crucial step in confirmatory data analysis. In their standard…

Methodology · Statistics 2022-04-06 Sara Algeri , Xiangyu Zhang

Lung cancer is one of the prevalence diseases in the world which cause many deaths. Detecting early stages of lung cancer is so necessary. So, modeling and simulating some intelligent medical systems is an essential which can help…

Image and Video Processing · Electrical Eng. & Systems 2023-12-07 Ehsan Sadeghi Pour , Mahdi Esmaeili

We discuss an "operational" approach to testing convex composite hypotheses when the underlying distributions are heavy-tailed. It relies upon Euclidean separation of convex sets and can be seen as an extension of the approach to testing by…

Statistics Theory · Mathematics 2018-11-13 Vincent Guigues , Anatoli Juditsky , Arkadi Nemirovski
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