The Rice-Shapiro theorem in Computable Topology by Margarita Korovina, Oleg Kudinov

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Formation of features based on computational topology methods by S.N. Chukanov

“…The construction of persistent barcodes and persistent diagrams in computational topology does not allow one to construct a Hilbert space with a scalar product. …”
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Computing Topological Descriptors of Prime Ideal Sum Graphs of Commutative Rings by Esra Öztürk Sözen, Turki Alsuraiheed, Cihat Abdioğlu, Shakir Ali

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Methods of computational topology and discrete Riemannian geometry for the analysis of arid territories by Lyailya Karimova, Alexey Terekhov, Nikolai Makarenko, Andrey Rybintsev

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Retracted: Computing Topological Descriptors and Polynomials of Certain 2D Chemical Structures by Journal of Chemistry

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Analysis of UAV-Acquired Wetland Orthomosaics Using GIS, Computer Vision, Computational Topology and Deep Learning by Sarah Kentsch, Mariano Cabezas, Luca Tomhave, Jens Groß, Benjamin Burkhard, Maximo Larry Lopez Caceres, Katsushi Waki, Yago Diez

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Distributed networked localization using neighboring distances only through a computational topology control approach by Xiaochu Wang, Ting Sun, Changhao Sun, Junqi Wang

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Overcoming a recent impasse in the application of artificial neural networks as solid oxide fuel cells simulator with computational topology by Grzegorz Brus

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Optimizing the Simplicial-Map Neural Network Architecture by Eduardo Paluzo-Hidalgo, Rocio Gonzalez-Diaz, Miguel A. Gutiérrez-Naranjo, Jónathan Heras

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Knowledge Discovery Using Topological Analysis for Building Sensor Data by Manik Gupta, Nigel Phillips

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A Decentralized Fuzzy Rule-Based Approach for Computing Topological Relations between Spatial Dynamic Continuous Phenomena with Vague Boundaries Using Sensor Data by Roger Cesarié Ntankouo Njila, Mir Abolfazl Mostafavi, Jean Brodeur

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COMPUTER SYSTEMS SYNTHESIS INSPIRED FROM BIOLOGIC CELLS STRUCTURES by MUNTEANU, Silvia, SUDACEVSCHI, Viorica, ABABII, Victor

Subjects: “…computational topology…”
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Formation of Machine Learning Features Based on the Construction of Tropical Functions by Sergey N. Chukanov, Ilya S. Chukanov

“…One of the main methods of computational topology and topological data analysis is persistent homology, which combines geometric and topological information about an object using persistent diagrams and barcodes. …”
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Discrete Morse theory for computing cellular sheaf cohomology by Curry, J, Ghrist, R, Nanda, V

“…Sheaves and sheaf cohomology are powerful tools in computational topology, greatly generalizing persistent homology. …”

Constant-time quantum algorithm for homology detection in closed curves by Nhat A. Nghiem Vu, Xianfeng David Gu, Tzu-Chieh Wei

“…Given a loop or more generally 1-cycle $r$ of size L on a closed two-dimensional manifold or surface, represented by a triangulated mesh, a question in computational topology asks whether or not it is homologous to zero. …”
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An Efficient Data Retrieval Parallel Reeb Graph Algorithm by Mustafa Hajij, Paul Rosen

“…Reeb graphs have been shown in the past decade to be of great importance in geometric processing, image processing, computer graphics, and computational topology. The demand for analyzing large data sets has increased in the last decade. …”
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Machine learning and topological data analysis identify unique features of human papillae in 3D scans by Rayna Andreeva, Anwesha Sarkar, Rik Sarkar

“…The finer differences in shapes of papillae are investigated computationally based on a number of features derived from discrete differential geometry and computational topology. Interpretable machine learning techniques show that persistent homology features of the papillae shape are the most effective in predicting the biological variables. …”
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Persistent homology analysis of type 2 diabetes genome-wide association studies in protein–protein interaction networks by Euijun Song, Euijun Song

“…The 1-dimensional persistent T2D disease module comprising these 18 persistent 1-dimensional holes is significantly larger than that expected by chance (59 nodes and 83 edges, P<0.001), indicating a significant topological structure in the PPI network. Our computational topology framework potentially possesses broad applicability to other complex phenotypes in identifying topological features that play an important role in disease pathobiology.…”
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Functionally graded multi-morphology lattice structures as an optimized sandwich core via digital light processing additive manufacturing by M. Mahmoudi, S.A.M. Ghannadpour, K. Hossein Nedjad

“…These significant findings indicate that this approach provides a new perspective on a high-strength design involving more than three morphologies, and it is faster than computational topology optimization processes.…”
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Tree representations of brain structural connectivity via persistent homology by Didong Li, Phuc Nguyen, Zhengwu Zhang, David Dunson

“…This article proposes a simpler tree representation of the brain connectome, which is motivated by ideas in computational topology and takes topological and biological information on the cortical surface into consideration. …”
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