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Topological Data Analysis (TDA) has emerged as a powerful framework for extracting robust, multiscale, and interpretable features from complex molecular data for artificial intelligence (AI) modeling and topological deep learning (TDL).…

Biomolecules · Quantitative Biology 2025-09-23 JunJie Wee , Jian Jiang

Topological data analysis (TDA) provides insight into data shape. The summaries obtained by these methods are principled global descriptions of multi-dimensional data whilst exhibiting stable properties such as robustness to deformation and…

Machine Learning · Computer Science 2024-03-18 Ali Zia , Abdelwahed Khamis , James Nichols , Zeeshan Hayder , Vivien Rolland , Lars Petersson

Topological Data Analysis (TDA) is an emergent field that aims to discover topological information hidden in a dataset. TDA tools have been commonly used to create filters and topological descriptors to improve Machine Learning (ML)…

Machine Learning · Computer Science 2021-02-09 Rolando Kindelan , José Frías , Mauricio Cerda , Nancy Hitschfeld

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

Topological Data Analysis (TDA) is an emergent field that aims to discover topological information hidden in a dataset. TDA tools have been commonly used to create filters and topological descriptors to improve Machine Learning (ML)…

Machine Learning · Computer Science 2022-02-07 Rolando Kindelan , José Frías , Mauricio Cerda , Nancy Hitschfeld

Deep learning has introduced several learning-based methods to recognize breast tumours and presents high applicability in breast cancer diagnostics. It has presented itself as a practical installment in Computer-Aided Diagnostic (CAD)…

Image and Video Processing · Electrical Eng. & Systems 2022-02-15 Timothy Kwong , Samaneh Mazaheri

Ovarian cancer remains one of the most lethal gynecological malignancies, largely due to late diagnosis and extensive heterogeneity across subtypes. Current diagnostic methods are limited in their ability to reveal underlying genomic…

Image and Video Processing · Electrical Eng. & Systems 2025-11-06 Gabriela Fernandes

Topological data analysis (TDA) offers novel mathematical tools for deep learning. Inspired by Carlsson et al., this study designs topology-aware convolutional kernels that significantly improve speech recognition networks. Theoretically,…

Machine Learning · Computer Science 2025-05-28 Zhiwang Yu

Topological Data Analysis (TDA) has emerged recently as a robust tool to extract and compare the structure of datasets. TDA identifies features in data such as connected components and holes and assigns a quantitative measure to these…

Computer Vision and Pattern Recognition · Computer Science 2021-08-04 Mustafa Hajij , Ghada Zamzmi , Fawwaz Batayneh

Topological data analysis (TDA) is a rapidly evolving field in applied mathematics and data science that leverages tools from topology to uncover robust, shape-driven insights in complex datasets. The main workhorse is persistent homology,…

History and Overview · Mathematics 2025-07-29 Zhe Su , Xiang Liu , Layal Bou Hamdan , Vasileios Maroulas , Jie Wu , Gunnar Carlsson , Guo-Wei Wei

Medical imaging is an essential tool in many areas of medical applications, used for both diagnosis and treatment. However, reading medical images and making diagnosis or treatment recommendations require specially trained medical…

Computer Vision and Pattern Recognition · Computer Science 2019-03-13 Wentao Zhu

This paper provides a critical review of the literature on deep learning applications in breast tumor diagnosis using ultrasound and mammography images. It also summarizes recent advances in computer-aided diagnosis (CAD) systems, which…

Image and Video Processing · Electrical Eng. & Systems 2020-10-05 Yuliana Jiménez-Gaona , María José Rodríguez-Álvarez , Vasudevan Lakshminarayanan

In a world abundant with diverse data arising from complex acquisition techniques, there is a growing need for new data analysis methods. In this paper we focus on high-dimensional data that are organized into several hierarchical datasets.…

Machine Learning · Computer Science 2021-04-06 Lior Aloni , Omer Bobrowski , Ronen Talmon

Ovarian cancer remains a challenging malignancy to diagnose and manage, with prognosis heavily dependent on the stage at detection. Accurate grading and staging, primarily based on histopathological examination of biopsy tissue samples, are…

Medical Physics · Physics 2025-05-16 Ashmit K Mishra , Mousa Alrubayan , Prabhakar Pradhan

Topological data analysis (TDA) is a relatively new field that is gaining rapid adoption due to its robustness and ability to effectively describe complex datasets by quantifying geometric information. In imaging contexts, TDA typically…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Aaryam Sharma

Advances in imaging techniques enable high resolution 3D visualisation of vascular networks over time and reveal abnormal structural features such as twists and loops, and their quantification is an active area of research. Here we showcase…

The rapid development of deep learning, a family of machine learning techniques, has spurred much interest in its application to medical imaging problems. Here, we develop a deep learning algorithm that can accurately detect breast cancer…

Computer Vision and Pattern Recognition · Computer Science 2019-10-08 Li Shen , Laurie R. Margolies , Joseph H. Rothstein , Eugene Fluder , Russell B. McBride , Weiva Sieh

In this work we use the persistent homology method, a technique in topological data analysis (TDA), to extract essential topological features from the data space and combine them with deep learning features for classification tasks. In TDA,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Mariana Dória Prata Lima , Gilson Antonio Giraldi , Gastão Florêncio Miranda Junior

Cervical cancer is a prevalent disease affecting millions of women worldwide every year. It requires significant attention, as early detection during the precancerous stage provides an opportunity for a cure. The screening and diagnosis of…

Image and Video Processing · Electrical Eng. & Systems 2023-10-26 Hana Ahmadzadeh Sarhangi , Dorsa Beigifard , Elahe Farmani , Hamidreza Bolhasani

Tissue microarray (TMA) images have been used increasingly often in cancer studies and the validation of biomarkers. TACOMA---a cutting-edge automatic scoring algorithm for TMA images---is comparable to pathologists in terms of accuracy and…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Donghui Yan , Timothy W. Randolph , Jian Zou , Peng Gong
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