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Topological Data Analysis (TDA) allows us to extract powerful topological and higher-order information on the global shape of a data set or point cloud. Tools like Persistent Homology or the Euler Transform give a single complex description…

Algebraic Topology · Mathematics 2025-11-04 Vincent P. Grande , Michael T. Schaub

The study identifies a clear evolution from traditional methods to more advanced machine learning approaches. Current algorithms face persistent challenges, including degraded image quality, damaged ridge structures, and background noise,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-20 Amit Kumar Trivedi , Jasvinder Pal Singh

Topological Data Analysis (TDA) offers a suite of computational tools that provide quantified shape features in high dimensional data that can be used by modern statistical and predictive machine learning (ML) models. In particular,…

Cryptography and Security · Computer Science 2023-07-06 Dominic Gold , Koray Karabina , Francis C. Motta

Fingerprint recognition requires a minimal effort from the user, does not capture other information than strictly necessary for the recognition process, and provides relatively good performance. A critical step in fingerprint identification…

Computer Vision and Pattern Recognition · Computer Science 2014-02-21 Amira Mohammad Abdel-Mawgoud Saleh

Extracting minutiae from fingerprint images is one of the most important steps in automatic fingerprint identification system. Because minutiae matching are certainly the most well-known and widely used method for fingerprint matching,…

Computer Vision and Pattern Recognition · Computer Science 2013-04-09 S. M. Mohsen , S. M. Zamshed Farhan , M. M. A. Hashem

Fingerprints are the most widely deployed form of biometric identification. No two individuals share the same fingerprint because they have unique biometric identifiers. This paper presents an efficient fingerprint verification algorithm…

Computer Vision and Pattern Recognition · Computer Science 2018-12-11 Rahul Kumar Jaiswal , Gaurav Saxena

In semiconductor manufacturing, wafer map defect pattern provides critical information for facility maintenance and yield management, so the classification of defect patterns is one of the most important tasks in the manufacturing process.…

Machine Learning · Computer Science 2022-09-20 Seungchan Ko , Dowan Koo

Skin cancer is one of the most common cancers in the United States. As technological advancements are made, algorithmic diagnosis of skin lesions is becoming more important. In this paper, we develop algorithms for segmenting the actual…

Computer Vision and Pattern Recognition · Computer Science 2019-05-22 Yu-Min Chung , Chuan-Shen Hu , Austin Lawson , Clifford Smyth

Persistent homology is a mathematical tool used for studying the shape of data by extracting its topological features. It has gained popularity in network science due to its applicability in various network mining problems, including…

Algebraic Topology · Mathematics 2023-06-21 Mehmet Emin Aktas , Thu Nguyen , Rakin Riza , Muhammad Ifte Islam , Esra Akbas

Persistent Homology is a powerful tool in Topological Data Analysis (TDA) to capture topological properties of data succinctly at different spatial resolutions. For graphical data, shape, and structure of the neighborhood of individual data…

Social and Information Networks · Computer Science 2018-11-12 Sumit Bhatia , Bapi Chatterjee , Deepak Nathani , Manohar Kaul

Machine learning models for repeated measurements are limited. Using topological data analysis (TDA), we present a classifier for repeated measurements which samples from the data space and builds a network graph based on the data topology.…

Machine Learning · Computer Science 2019-04-08 Henri Riihimäki , Wojciech Chachólski , Jakob Theorell , Jan Hillert , Ryan Ramanujam

Topological Data Analysis (TDA) provides powerful tools to explore the shape and structure of data through topological features such as clusters, loops, and voids. Persistence diagrams are a cornerstone of TDA, capturing the evolution of…

Artificial Intelligence · Computer Science 2026-03-13 Alexander Mironenko , Evgeny. Burnaev , Serguei Barannikov

Topological Data Analysis (TDA) is a novel statistical technique, particularly powerful for the analysis of large and high dimensional data sets. Much of TDA is based on the tool of persistent homology, represented visually via persistence…

Applications · Statistics 2017-11-07 Sarit Agami , Robert J. Adler

Topological data analysis (TDA) aims to extract noise-robust features from a data set by examining the number and persistence of holes in its topology. We show that a computational problem closely related to a core task in TDA --…

Quantum Physics · Physics 2024-10-29 Casper Gyurik , Alexander Schmidhuber , Robbie King , Vedran Dunjko , Ryu Hayakawa

Topological data analysis (TDA) uncovers crucial properties of objects in medical imaging. Methods based on persistent homology have demonstrated their advantages in capturing topological features that traditional deep learning methods…

Computer Vision and Pattern Recognition · Computer Science 2024-08-16 Yanfan Zhu , Yash Singh , Khaled Younis , Shunxing Bao , Yuankai Huo

Topological data analysis (TDA) has emerged as a powerful tool for extracting meaningful insights from complex data. TDA enhances the analysis of objects by embedding them into a simplicial complex and extracting useful global properties…

Quantum Physics · Physics 2023-07-17 Massimiliano Incudini , Francesco Martini , Alessandra Di Pierro

Topology applied to real world data using persistent homology has started to find applications within machine learning, including deep learning. We present a differentiable topology layer that computes persistent homology based on level set…

Interacting, self-propelled particles such as epithelial cells can dynamically self-organize into complex multicellular patterns, which are challenging to classify without a priori information. Classically, different phases and phase…

Quantitative Methods · Quantitative Biology 2021-01-19 Dhananjay Bhaskar , William Y. Zhang , Ian Y. Wong

The fingerprint classification is an important and effective method to quicken the process and improve the accuracy in the fingerprint matching process. Conventional supervised methods need a large amount of pre-labeled data and thus…

Computer Vision and Pattern Recognition · Computer Science 2021-09-14 Yue-Jie Hou , Zai-Xin Xie , Jian-Hu , Yao-Shen , Chi-Chun Zhou

Latent fingerprint matching is a very important but unsolved problem. As a key step of fingerprint matching, fingerprint registration has a great impact on the recognition performance. Existing latent fingerprint registration approaches are…

Computer Vision and Pattern Recognition · Computer Science 2021-01-21 Shan Gu , Jianjiang Feng , Jiwen Lu , Jie Zhou