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Identifying molecular signatures from complex disease patients with underlying symptomatic similarities is a significant challenge in the analysis of high dimensional multi-omics data. Topological data analysis (TDA) provides a way of…

Genomics · Quantitative Biology 2024-04-23 Davide Gurnari , Aldo Guzmán-Sáenz , Filippo Utro , Aritra Bose , Saugata Basu , Laxmi Parida

Effectively representing medical images, especially retinal images, presents a considerable challenge due to variations in appearance, size, and contextual information of pathological signs called lesions. Precise discrimination of these…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Teja Krishna Cherukuri , Nagur Shareef Shaik , Dong Hye Ye

This paper proposes a new technique for automatic face recognition using integrated peaks of the Hough transformed significant blocks of the binary gradient image. In this approach firstly the gradient of an image is calculated and a…

Computer Vision and Pattern Recognition · Computer Science 2013-12-09 Arindam Kar , Debotosh Bhattacharjee , Dipak Kumar Basu , Mita Nasipuri , Mahantapas Kundu

In this paper, we study solution operators of physical field equations on geometric meshes from a function-space perspective. We reveal that Hodge orthogonality fundamentally resolves spectral interference by isolating unlearnable…

Machine Learning · Computer Science 2026-05-14 Dongzhe Zheng , Tao Zhong , Christine Allen-Blanchette

We propose an automatic diabetic retinopathy (DR) analysis algorithm based on two-stages deep convolutional neural networks (DCNN). Compared to existing DCNN-based DR detection methods, the proposed algorithm have the following advantages:…

Computer Vision and Pattern Recognition · Computer Science 2017-05-03 Yehui Yang , Tao Li , Wensi Li , Haishan Wu , Wei Fan , Wensheng Zhang

Understanding how the spatial structure of blood vessel networks relates to their function in healthy and abnormal biological tissues could improve diagnosis and treatment for diseases such as cancer. New imaging techniques can generate…

Quantitative Methods · Quantitative Biology 2019-07-23 Helen M Byrne , Heather A Harrington , Ruth Muschel , Gesine Reinert , Bernadette J Stolz , Ulrike Tillmann

Feature engineering continues to play a critical role in image classification, particularly when interpretability and computational efficiency are prioritized over deep learning models with millions of parameters. In this study, we revisit…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Abhijit Sen , Giridas Maiti , Bikram K. Parida , Bhanu P. Mishra , Mahima Arya , Denys I. Bondar

Topological Data Analysis (TDA) is a novel, and relatively new approach to analysing high-dimensional data sets. It does this by focussing on global properties like the shape and connectivity of the data giving it a significant advantage…

Instrumentation and Methods for Astrophysics · Physics 2019-04-26 Jeff Murugan , Duncan Robertson

Convolutional neural networks (CNN) and Transformer variants have emerged as the leading medical image segmentation backbones. Nonetheless, due to their limitations in either preserving global image context or efficiently processing…

Image and Video Processing · Electrical Eng. & Systems 2023-05-26 Pengcheng Shi , Xutao Guo , Yanwu Yang , Chenfei Ye , Ting Ma

Fundus images are widely used for diagnosing various eye diseases, such as diabetic retinopathy, glaucoma, and age-related macular degeneration. However, manual analysis of fundus images is time-consuming and prone to errors. In this…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Eric Shah , Jay Patel , Mr. Vishal Katheriya , Parth Pataliya

Topological data analysis (TDA) uses persistent homology to quantify loops and higher-dimensional holes in data, making it particularly relevant for examining the characteristics of images of cells in the field of cell biology. In the…

Methodology · Statistics 2024-05-06 Susan Glenn , Jessi Cisewski-Kehe , Jun Zhu , William M. Bement

Diabetic retinopathy (DR) grading is crucial in determining the adequate treatment and follow up of patients, but the screening process can be tiresome and prone to errors. Deep learning approaches have shown promising performance as…

Image and Video Processing · Electrical Eng. & Systems 2020-06-01 Teresa Araújo , Guilherme Aresta , Luís Mendonça , Susana Penas , Carolina Maia , Ângela Carneiro , Ana Maria Mendonça , Aurélio Campilho

Topological data analysis (TDA), while abstract, allows a characterization of time-series data obtained from nonlinear and complex dynamical systems. Though it is surprising that such an abstract measure of structure - counting pieces and…

Computational Geometry · Computer Science 2020-01-07 Nicole Sanderson , Elliott Shugerman , Samantha Molnar , James D. Meiss , Elizabeth Bradley

Purpose To develop a computer based method for the automated assessment of image quality in the context of diabetic retinopathy (DR) to guide the photographer. Methods A deep learning framework was trained to grade the images automatically.…

Computer Vision and Pattern Recognition · Computer Science 2017-03-08 Sajib Kumar Saha , Basura Fernando , Jorge Cuadros , Di Xiao , Yogesan Kanagasingam

Graphs model latent variable relationships in many real-world systems, and Message Passing Neural Networks (MPNNs) are widely used to learn such structures for downstream tasks. While edge-based MPNNs effectively capture local interactions,…

Machine Learning · Computer Science 2025-11-27 Thomas Bailie , Yun Sing Koh , Karthik Mukkavilli

Alzheimer's disease (AD) emerges from a complex interplay of molecular, cellular, and network-level disturbances that are not easily captured by traditional reductionist frameworks. Conventional analyses of gene expression often rely on…

Quantitative Methods · Quantitative Biology 2025-12-11 Aya Samadzelkava

The diagnosis and prognosis of cancer are typically based on multi-modal clinical data, including histology images and genomic data, due to the complex pathogenesis and high heterogeneity. Despite the advancements in digital pathology and…

Quantitative Methods · Quantitative Biology 2024-04-15 Zeyu Zhang , Yuanshen Zhao , Jingxian Duan , Yaou Liu , Hairong Zheng , Dong Liang , Zhenyu Zhang , Zhi-Cheng Li

Brain connectomics is still largely dominated by pairwise-based models, such as graphs, which cannot represent circulatory or higher-order functional interactions. In this paper, we propose a multimodal framework based on Topological Signal…

Neurons and Cognition · Quantitative Biology 2026-04-01 Breno C. Bispo , Stefania Sardellitti , Juliano B. Lima , Fernando A. N. Santos

Motivated by the challenging segmentation task of pancreatic tubular networks, this paper tackles two commonly encountered problems in biomedical imaging: Topological consistency of the segmentation, and expensive or difficult annotation.…

Computer Vision and Pattern Recognition · Computer Science 2023-06-29 Kasra Arnavaz , Oswin Krause , Kilian Zepf , Jelena M. Krivokapic , Silja Heilmann , Jakob Andreas Bærentzen , Pia Nyeng , Aasa Feragen

Image classification requires the generation of features capable of detecting image patterns informative of group identity. The objective of this study was to classify images from the public CIFAR-10 image dataset by leveraging combinations…

Computer Vision and Pattern Recognition · Computer Science 2020-03-02 Felipe O. Giuste , Juan C. Vizcarra