Výsledky vyhledávání - "topological data analysis"

Principal component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids Autor Robins, Vanessa, Turner, Katharine

“…Persistent homology, while ostensibly measuring changes in topology, captures multiscale geometrical information. It is a natural tool for the analysis of…”
Získat plný text

A Topological Representation of Branching Neuronal Morphologies Autor Kanari, Lida, Dłotko, Paweł, Scolamiero, Martina, Levi, Ran, Shillcock, Julian, Hess, Kathryn, Markram, Henry

Získat plný text

PHLP: Sole persistent homology for link prediction - interpretable feature extraction Autor You, Junwon, Heo, Eunwoo, Jung, Jae-Hun

Získat plný text

Ripser: efficient computation of Vietoris–Rips persistence barcodes Autor Bauer, Ulrich

“…We present an algorithm for the computation of Vietoris–Rips persistence barcodes and describe its implementation in the software Ripser. The method relies on…”
Získat plný text

Hierarchical structures of amorphous solids characterized by persistent homology Autor Hiraoka, Yasuaki, Nakamura, Takenobu, Hirata, Akihiko, Escolar, Emerson G, Matsue, Kaname, Nishiura, Yasumasa

“…This article proposes a topological method that extracts hierarchical structures of various amorphous solids. The method is based on the persistence diagram…”
Zjistit podrobnosti o přístupu

An Introduction to Topological Data Analysis: Fundamental and Practical Aspects for Data Scientists Autor Chazal, Frédéric, Michel, Bertrand

“…With the recent explosion in the amount, the variety, and the dimensionality of available data, identifying, extracting, and exploiting their underlying…”
Získat plný text

Digital tools for analyzing nondiffeomorphic shapes Autor Kirveslahti, Henry, Wang, Xiaohan

“…The Euler Characteristic Transform (ECT) of Turner et al. provides a way to statistically analyze nondiffeomorphic shapes without relying on landmarks. In…”
Zjistit podrobnosti o přístupu

Topological data analysis of financial time series: Landscapes of crashes Autor Gidea, Marian, Katz, Yuri

“…We explore the evolution of daily returns of four major US stock market indices during the technology crash of 2000, and the financial crisis of 2007–2009. Our…”
Získat plný text

A Survey of Vectorization Methods in Topological Data Analysis Autor 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…”
Získat plný text

Compactification of Perception Pairs and Spaces of Group Equivariant Non-Expansive Operators Autor Ahmad, Faraz

Získat plný text

Topological recognition of critical transitions in time series of cryptocurrencies Autor Gidea, Marian, Goldsmith, Daniel, Katz, Yuri, Roldan, Pablo, Shmalo, Yonah

“…We analyze four major cryptocurrencies (Bitcoin, Ethereum, Litecoin, and Ripple) before the digital asset market crash at the beginning of 2018. We also…”
Získat plný text

Objective Morphological Classification of Neocortical Pyramidal Cells Autor Kanari, Lida, Ramaswamy, Srikanth, Shi, Ying, Morand, Sebastien, Meystre, Julie, Perin, Rodrigo, Abdellah, Marwan, Wang, Yun, Hess, Kathryn, Markram, Henry

“…Abstract A consensus on the number of morphologically different types of pyramidal cells (PCs) in the neocortex has not yet been reached, despite over a…”
Získat plný text

A kernel for multi-parameter persistent homology Autor Corbet, René, Fugacci, Ulderico, Kerber, Michael, Landi, Claudia, Wang, Bei

“…•We propose the first kernel construction for multi-parameter persistent homology.•Our kernel is generic, stable and can be approximated in polynomial…”
Získat plný text

Topological data analysis in biomedicine: A review Autor Skaf, Yara, Laubenbacher, Reinhard

“…Significant technological advances made in recent years have shepherded a dramatic increase in utilization of digital technologies for biomedicine- everything…”
Zjistit podrobnosti o přístupu

MRI and biomechanics multidimensional data analysis reveals R2‐R1ρ as an early predictor of cartilage lesion progression in knee osteoarthritis Autor Pedoia, Valentina, Haefeli, Jenny, Morioka, Kazuhito, Teng, Hsiang‐Ling, Nardo, Lorenzo, Souza, Richard B., Ferguson, Adam R., Majumdar, Sharmila

“…Purpose To couple quantitative compositional MRI, gait analysis, and machine learning multidimensional data analysis to study osteoarthritis (OA). OA is a…”
Získat plný text

Discerning dynamics in synchrophasor data using topological data analysis Autor Mishra, Chetan, Vanfretti, Luigi, Delaree, Jaime, Jones, Kevin D.

“…•Formulated discovering dynamics in ambient data as detecting prominent topological features in spectrum data.•Derived a statistical threshold for sub-level…”
Získat plný text

Topology-based individual tree segmentation for automated processing of terrestrial laser scanning point clouds Autor Xu, Xin, Iuricich, Federico, Calders, Kim, Armston, John, De Floriani, Leila

“…Terrestrial laser scanning (TLS) is a ground-based approach to rapidly acquire 3D point clouds via Light Detection and Ranging (LiDAR) technologies…”
Získat plný text

Clique topology reveals intrinsic geometric structure in neural correlations Autor Giusti, Chad, Pastalkova, Eva, Curto, Carina, Itskov, Vladimir

“…Detecting meaningful structure in neural activity and connectivity data is challenging in the presence of hidden nonlinearities, where traditional…”
Zjistit podrobnosti o přístupu

Analysis of global stock markets’ connections with emphasis on the impact of COVID-19 Autor Guo, Hongfeng, Zhao, Xinyao, Yu, Hang, Zhang, Xin

“…We explore global stock markets’ connections during the financial crises or risks since 1995 with emphasis on the situation under COVID-19. We choose 40…”
Získat plný text

Unveiling complex nonlinear dynamics in stock markets through topological data analysis Autor Nie, Chun-Xiao

“…Testing and characterizing nonlinear serial dependence in financial time series constitutes a critical research focus, extensively applied in examining…”
Získat plný text