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Topological Data Analysis

Topological data analysis and machine learning for recognizing atmospheric river patterns in large climate datasets

Topological data analysis and machine learning for recognizing atmospheric river patterns in large climate datasets

... The topological data analysis (TDA) algorithm extracts connected regions from the snapshots of global images on the ...as topological feature descriptors that characterize weather patterns ...

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Statistical Topological Data Analysis using Persistence Landscapes

Statistical Topological Data Analysis using Persistence Landscapes

... Topological data analysis (TDA) consists of a growing set of methods that provide insight to the “shape” of data (see the surveys Ghrist, 2008; Carlsson, ...dimensional data that are ...

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Employing Topological Data Analysis On Social Networks Data To Improve Information Diffusion

Employing Topological Data Analysis On Social Networks Data To Improve Information Diffusion

... of topological data analysis for mining social network data is ...comparing topological data analysis and clustering ...

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Persistence Landscape based Topological Data Analysis for Personalized Arrhythmia Classification

Persistence Landscape based Topological Data Analysis for Personalized Arrhythmia Classification

... Abstract: Data has shapes, and shapes may provide insights to data modeling and information ...extraction. Topological data analysis (TDA) paves new avenues in the evaluation of ...

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Convergence Rates for Persistence Diagram Estimation in Topological Data Analysis

Convergence Rates for Persistence Diagram Estimation in Topological Data Analysis

... for data embedded in Euclidean spaces and assumed to be concen- trated around submanifolds; see for instance Wang ...that data lies on a manifold may fail in many ...ing data by points in Euclidean ...

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Cellular Sheaves And Cosheaves For Distributed Topological Data Analysis

Cellular Sheaves And Cosheaves For Distributed Topological Data Analysis

... This dissertation focuses on two important aspects of applied topology: persistent homology and cellular (co)sheaf theory. Persistent homology is a fundamental tool in topological data analysis that ...

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Topological Data Analysis for Discourse Semantics?

Topological Data Analysis for Discourse Semantics?

... of topological features to effectively capture certain struc- tural properties of discourse ...of topological data analysis to ...discourse analysis, where regression- based tools (such ...

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Efficient Algorithms and Applications in Topological Data Analysis

Efficient Algorithms and Applications in Topological Data Analysis

... combining topological invariants with geometry to solve real world prob- lems is ...ago Topological Data Analysis (TDA) began to bridge this gap, most notably with the work on persistent ...

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tmap: an integrative framework based on topological data analysis for population scale microbiome stratification and association studies

tmap: an integrative framework based on topological data analysis for population scale microbiome stratification and association studies

... on topological data analysis and network representation for stratification and association study of high-dimensional microbiome ...scale data mining techniques to capture subtle and non- ...

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Mapping with Biobotic Insect Networks: A Geometric Estimation and Topological Data Analysis Framework.

Mapping with Biobotic Insect Networks: A Geometric Estimation and Topological Data Analysis Framework.

... expression data [28–30], protein classification [31–33], dynamical systems [34, 72], neurology [35], molecular phylogenetics and evolution [73], epidemic spread in networks [36], target tracking [37], signal ...

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Complex and Dynamic Network Analysis: A Topological Perspective

Complex and Dynamic Network Analysis: A Topological Perspective

... resulting topological features are extremely non-robust to perturbations in the underlying data ...the data set, and the summary for this changing sequence of spaces (cru- cially) also had good ...

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Topological analysis of data

Topological analysis of data

... datasets, data science is growing rapidly. Against this background, topological data analysis (TDA) has carved itself a niche for the analysis of datasets that present complex ...

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Using topological analysis to support event guided exploration in urban data

Using topological analysis to support event guided exploration in urban data

... In recent years, techniques and systems have been proposed that at- tempt to streamline and better support exploratory analyses of spatio- temporal data. These include sophisticated visualization and interac- tion ...

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A Comparative Performance Analysis of Topological Routing Protocols in VANET

A Comparative Performance Analysis of Topological Routing Protocols in VANET

... ABSTRACT - Vehicular Ad-hoc Network has drawn the attention of various researchers all around the world in the recent years. The reason can be attributed towards its capability in solving real world problems like traffic ...

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Semi-nonparametric modeling of topological domain formation from epigenetic data

Semi-nonparametric modeling of topological domain formation from epigenetic data

... Here, we develop and train a joint model, which we call nTDP (Nonparameteric Topological Domain Par- titioner), of how histone modifications are associated with domain boundaries and interiors. We show that we are ...

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A TOPOLOGICAL ANALYSIS OF THE OPEN SOURCE SOFTWARE DEVELOPMENT COMMUNITY

A TOPOLOGICAL ANALYSIS OF THE OPEN SOURCE SOFTWARE DEVELOPMENT COMMUNITY

... – Peripheral Developer: irregularly contribute – Central Developer: regularly contribute. – Core Developer: extensively contribute, manage CVS[r] ...

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PathNet: a tool for pathway analysis using topological information

PathNet: a tool for pathway analysis using topological information

... identified six pathways from this list that are related to neurological disorders in general and AD in par- ticular: gonadotropin releasing hormone (GnRH) sig- naling; neurotrophin signaling; long-term potentiation; ...

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Topological analysis in Monte Carlo simulation for uncertainty propagation

Topological analysis in Monte Carlo simulation for uncertainty propagation

... that topological clusters are ge- ometrically consistent and supports the thesis that topology is an efficient determinant for geological ...of topological signatures even when they are consid- ered ...

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QSPR Analysis with Curvilinear Regression Modeling and Topological Indices

QSPR Analysis with Curvilinear Regression Modeling and Topological Indices

... A topological index can be classified according to the structural characteristics of the graph such as the degree of vertex, the distance between vertices, the matching, and the ...best-known topological ...

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Topological sensitivity analysis of a time-dependent nonlinear problem

Topological sensitivity analysis of a time-dependent nonlinear problem

... An approach using the analysis of the topological sensitivity [7–9] is presented in this work. The optimal pipe shape domain is obtained by the inserted obstacles in the initial domain. Taking into account ...

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