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Topological Data Analysis with Applications
The Mathematical Intelligencer, 2021The continued and dramatic rise in the size of data sets has meant that new methods are required to model and analyze them. This timely account introduces topological data analysis (TDA), a method for modeling data by geometric objects, namely graphs and their higher-dimensional versions: simplicial complexes.
Michele Intermont
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PAIRS TRADING WITH TOPOLOGICAL DATA ANALYSIS
International Journal of Theoretical and Applied Finance, 2023In this paper, we propose a pairs trading strategy using the theory of topological data analysis (TDA). The proposed strategy is model-free. We propose a TDA-based distance to measure dependence between a pair of stochastic processes. We derive an upper bound of this distance in terms of a function of the canonical correlation of the processes, which ...
SOURAV MAJUMDAR, ARNAB KUMAR LAHA
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Topological Data Analysis in Graph Neural Networks: Surveys and Perspectives
IEEE Transactions on Neural Networks and Learning SystemsFor many years, topological data analysis (TDA) and deep learning (DL) have been considered separate data analysis and representation learning approaches, which have nothing in common.
Phu Pham +5 more
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Topological data analysis and topological deep learning beyond persistent homology: a review
Artificial Intelligence ReviewTopological data analysis (TDA) is a rapidly evolving field in applied mathematics and data science that leverages tools from topology to uncover robust, shape-driven, and explainable insights in complex datasets.
Zhe Su +6 more
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Topological Data Analysis for Electric Motor Eccentricity Fault Detection
Annual Conference of the IEEE Industrial Electronics Society, 2022In this paper, we develop topological data analysis (TDA) method for motor current signature analysis (MCSA), and apply it to induction motor eccentricity fault detection. We introduce TDA and present the procedure of extracting topological features from
Bingnan Wang +3 more
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Smart Contract Scams Detection with Topological Data Analysis on Account Interaction
International Conference on Information and Knowledge Management, 2022The skyrocketing market value of cryptocurrencies has prompted more investors to pour funds into cryptocurrencies to seek asset hedging. However, the anonymity of blockchain makes cryptocurrency naturally a tool of choice for criminals to commit smart ...
Shuhui Fan +5 more
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Inverse Problems, 2011
Inverse problems can be defined as the area of mathematics that attempts to reconstruct a physical or mathematical object from derived data. Frequently, this means the evaluation of parameters or other numerical quantities (such as eigenvalues) that characterize or provide information about the system.
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Inverse problems can be defined as the area of mathematics that attempts to reconstruct a physical or mathematical object from derived data. Frequently, this means the evaluation of parameters or other numerical quantities (such as eigenvalues) that characterize or provide information about the system.
openaire +1 more source
Topological Data Analysis of Biomedical Big Data
2018Technological advances are providing researchers with larger and larger amounts of data, creating a rich landscape for data scientists to explore and search for meaningful patterns. Novel biomedical imaging techniques over the next 5 to 10 years, for instance, will develop their resolution to the point at which single subject scans might provide ...
Phinyomark, Angkoon +2 more
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