Search Results - Topological Data Analysis in Science and Engineering

Persistent de Rham-Hodge Laplacians in Eulerian representation for manifold topological learning by Su, Zhe, Tong, Yiying, Wei, Guo-Wei

“…Recently, topological data analysis has become a trending topic in data science and engineering…”
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Topological data analysis with digital microscope leather images for animal species classification by Ehiro, Takuya, Onji, Takeshi

“…This study presents a method for classifying cow and horse leather using a small number of digital microscope images and topological data analysis…”
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Characterizing emerging features in cell dynamics using topological data analysis methods by Dawson, Madeleine, Dudley, Carson, Omoma, Sasamon, Tung, Hwai-Ray, Ciocanel, Maria-Veronica

“… We propose methods based on topological data analysis to track topological features through time in cell biology data consisting of point clouds or binary images…”
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Persistent topological Laplacian analysis of SARS-CoV-2 variants by Wei, Xiaoqi, Chen, Jiahui, Wei, Guo-Wei

“…Topological data analysis (TDA) is an emerging field in mathematics and data science…”
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PERSISTENT DIRECTED FLAG LAPLACIAN by Jones, Benjamin, Wei, Guo-Wei

“…Topological data analysis (TDA) has had enormous success in science and engineering in the past decade…”
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Topological data analysis: Concepts, computation, and applications in chemical engineering by Smith, Alexander D., Dłotko, Paweł, Zavala, Victor M.

“…) and signal processing (e.g., convolutional neural nets, Fourier series). Topological Data Analysis (TDA…”
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A Survey of Vectorization Methods in Topological Data Analysis by Ali, Dashti, Asaad, Aras, Jimenez, Maria-Jose, Nanda, Vidit, Paluzo-Hidalgo, Eduardo, Soriano-Trigueros, Manuel

“…Attempts to incorporate topological information in supervised learning tasks have resulted in the creation of several techniques for vectorizing persistent homology barcode…”
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Topological Data Analysis in Graph Neural Networks: Surveys and Perspectives by Pham, Phu, Bui, Quang-Thinh, Thanh Nguyen, Ngoc, Kozma, Robert, Yu, Philip S., Vo, Bay

“…For 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…”
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Persistence Paths and Signature Features in Topological Data Analysis by Chevyrev, Ilya, Nanda, Vidit, Oberhauser, Harald

“…We introduce a new feature map for barcodes as they arise in persistent homology computation. The main idea is to first realize each barcode as a path in a…”
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Time series classification via topological data analysis by Karan, Alperen, Kaygun, Atabey

“…In this paper, we develop topological data analysis methods for classification tasks on univariate time series…”
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Artificial intelligence-aided protein engineering: from topological data analysis to deep protein language models by Qiu, Yuchi, Wei, Guo-Wei

“…), have considerably expedited protein engineering. Moreover, advances in topological data analysis (TDA) and artificial intelligence-based protein structure prediction…”
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Clustering and classification of time series using topological data analysis with applications to finance by Majumdar, Sourav, Laha, Arnab Kumar

“… These methods are based on techniques of Topological Data Analysis (TDA) such as persistent homology and time delay embedding for analysing time-series data…”
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Topological Structure and Semantic Information Transfer Network for Cross-Scene Hyperspectral Image Classification by Zhang, Yuxiang, Li, Wei, Zhang, Mengmeng, Qu, Ying, Tao, Ran, Qi, Hairong

“… Most existing methods use convolutional neural networks (CNNs) to extract statistical features from data and often neglect the potential topological structure information between different land cover classes…”
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Topological data analysis assisted machine learning for polar topological structures in oxide superlattices by Du, Guanshihan, Zhou, Linming, Huang, Yuhui, Wu, Yongjun, Hong, Zijian

“…” from topological data analysis to extract the essential topological features for the polarization data in various topological structures…”
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Topological data analysis in investment decisions by Goel, Anubha, Pasricha, Puneet, Mehra, Aparna

“…•We explore the applications of topological data analysis in investment decision making…”
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Refining understanding of corporate failure through a topological data analysis mapping of Altman’s Z-score model by Qiu, Wanling, Rudkin, Simon, Dłotko, Paweł

“…•Introduce Topological Data Analysis Ball Mapper for examining creditworthiness.•Example taken from seminal Altman (1968…”
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Federated Incremental Learning algorithm based on Topological Data Analysis by Hu, Kai, Gong, Sheng, Li, Lingxiao, Luo, Yuantu, Li, YaoGen, Jiang, Shanshan

“… To address these challenges, this paper proposes a federated incremental learning algorithm based on Topological Data Analysis (TDA…”
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Engineering of robust topological quantum phases in graphene nanoribbons by Gröning, Oliver, Wang, Shiyong, Yao, Xuelin, Pignedoli, Carlo A., Borin Barin, Gabriela, Daniels, Colin, Cupo, Andrew, Meunier, Vincent, Feng, Xinliang, Narita, Akimitsu, Müllen, Klaus, Ruffieux, Pascal, Fasel, Roman

“…Boundaries between distinct topological phases of matter support robust, yet exotic quantum states such as spin…”
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A Topological Loss Function for Deep-Learning Based Image Segmentation Using Persistent Homology by Clough, James R., Byrne, Nicholas, Oksuz, Ilkay, Zimmer, Veronika A., Schnabel, Julia A., King, Andrew P.

“… and then incorporated into the training process. By using the differentiable properties of persistent homology, a concept used in topological data analysis, we can specify the desired topology of segmented objects in terms of their Betti numbers…”
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Topological Data Analysis for fault classification on transmission lines by Gravot, Eloi, Torregrosa, Sergio, Hascoët, Nicolas, Kestelyn, Xavier, Chinesta, Francisco

“…This paper proposes a novel method for fault classification on transmission lines through a hybrid model combining Topological Data Analysis and unsupervised Machine Learning…”
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