Approximating Continuous Functions on Persistence Diagrams Using Template Functions
Summary
journal-article
Intrinsic Interleaving Distance for Merge Trees
Summary
journal-article
Probabilistic Convergence and Stability of Random Mapper Graphs
Summary
journal-article
Computing Wasserstein Distance for Persistence Diagrams on a Quantum Computer
Summary
journal-article
An Invitation to the Euler Characteristic Transform
Published by
The American Mathematical Monthly
Summary
journal-article
Teaspoon: A Python Package for Topological Signal Processing
Published by
Journal of Open Source Software
Summary
journal-article
Bounding the Interleaving Distance for Mapper Graphs with a Loss Function
Published by
Journal of Applied and Computational Topology
Summary
journal-article
Allometry and volumes in a nutshell: Analyzing walnut morphology using three‐dimensional X‐ray computed tomography
Published by
The Plant Phenome Journal
Summary
journal-article
ceREEBerus: Reeb Graph Computations in Python
Summary
other
Realizable piecewise linear paths of persistence diagrams with Reeb graphs
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Computing in Geometry and Topology
Summary
journal-article
Realizable Piecewise Linear Paths of Persistence Diagrams with Reeb Graphs
Published by
Computing in Geometry and Topology
Summary
journal-article
ect: Euler Characteristic Transform in python
Summary
other
teaspoon: A Topological Signal Processing Python Package
Summary
other
Allometry and volumes in a nutshell: Analyzing walnut morphology using three-dimensional X-ray computed tomography
Published by
The Plant Phenome Journal
Summary
journal-article
Allometry and volumes in a nutshell: Analyzing walnut morphology using three‐dimensional X‐ray computed tomography
Published by
The Plant Phenome Journal
Summary
journal-article
Expression-based machine learning models for predicting plant tissue identity
Published by
To appear: Applications in Plant Sciences
Summary
journal-article
A Distance for Geometric Graphs via the Labeled Merge Tree Interleaving Distance
Summary
journal-article
A topological framework for identifying phenomenological bifurcations in stochastic dynamical systems
Published by
Nonlinear Dynamics
Summary
journal-article
Robust crossings detection in noisy signals using topological signal processing
Published by
Foundations of Data Science
Summary
journal-article
NervePool: A Simplicial Pooling Layer
Summary
journal-article
Neurospectrum: A Geometric and Topological Deep Learning Framework for Uncovering Spatiotemporal Signatures in Neural Activity
Summary
preprint
Capturing Spatiotemporal Signaling Patterns in Cellular Data with Geometric Scattering Trajectory Homology
Summary
journal-article
Persistent homology of coarse-grained state-space networks
Published by
Physical Review E
Summary
journal-article
Persistent homology of coarse-grained state-space networks
Published by
Phys. Rev. E
Summary
journal-article
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection
Published by
SIAM Journal on Applied Dynamical Systems
Summary
journal-article
Distances Between Immersed Graphs: Metric Properties
Published by
La Matematica
Summary
journal-article
Distances Between Immersed Graphs: Metric Properties
Published by
La Mathematica
Summary
journal-article
An Invitation to the Euler Characteristic Transform
Published by
To appear: MAA Monthly
Summary
journal-article
Topological data analysis reveals a core gene expression backbone that defines form and function across flowering plants
Published by
PLOS Biology
Summary
journal-article
The shape and volume of air, kernels and cracks, in a nutshell
Summary
preprint
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection
Published by
SIAM Journal on Applied Dynamical Systems
Summary
journal-article
Comparing Embedded Graphs Using Average Branching Distance
Published by
Involve, a Journal of Mathematics
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journal-article
The shape of aroma: Measuring and modeling citrus oil gland distribution
Published by
PLANTS, PEOPLE, PLANET
Summary
journal-article
Comparing Embedded Graphs Using Average Branching Distance
Published by
To appear in: Involve, a Journal of Mathematics
Summary
journal-article
Approximating Continuous Functions on Persistence Diagrams Using Template Functions
Published by
Foundations of Computational Mathematics
Summary
journal-article
Approximating Continuous Functions on Persistence Diagrams Using Template Functions
Published by
Foundations of Computational Mathematics
Summary
journal-article
Detecting bifurcations in dynamical systems with CROCKER plots
Published by
To appear, CHAOS
Summary
journal-article
Detecting bifurcations in dynamical systems with CROCKER plots
Published by
Chaos: An Interdisciplinary Journal of Nonlinear Science
Summary
journal-article
Persistent Homology of Coarse Grained State Space Networks
Summary
journal-article
Temporal Network Analysis Using Zigzag Persistence
Summary
journal-article
The shape of aroma: measuring and modeling citrus oil gland distribution
Published by
To appear, Plants, People, Planet
Summary
preprint
The shape of aroma: measuring and modeling citrus oil gland distribution
Published by
To appear, Plants, People, Planet
Summary
journal-article
A Case Study on Identifying Bifurcation and Chaos with CROCKER Plots
Published by
Proceedings of TDA at SDM (SIAM Data Mining)
Summary
conference-paper
Persistence of weighted ordinal partition networks for dynamic state detection
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Accepted to SIAM Journal on Applied Dynamical Systems (SIADS)
Summary
journal-article
Pathways to a Career Outside of the Academic Silo
Published by
AMS Notices
Summary
journal-article
The shape of aroma: X-ray CT scans of citrus fruits, their separate tissues, and their individual oil glands
Summary
other
A quality measure for Reeb graph drawings
Published by
EuroCG
Summary
conference-paper
Reeb Graph Metrics from the Ground Up
Summary
journal-article
X-Ray CT scans of barley panicles and their individual seeds from the Composite Cross II experiment
Summary
other
Distances Between Immersed Graphs: Metric Properties
Summary
journal-article
Probabilistic convergence and stability of random mapper graphs
Published by
Journal of Applied and Computational Topology
Summary
journal-article
A Family of Metrics from the Truncated Smoothing of Reeb Graphs
Published by
37th International Symposium on Computational Geometry (SoCG 2021)
Summary
conference-paper
Quantifying barley morphology using the Euler Characteristic Transform
Summary
other
Measuring hidden phenotype: Quantifying the shape of barley seeds using the Euler Characteristic Transform
Summary
preprint
Measuring hidden phenotype: Quantifying the shape of barley seeds using the Euler Characteristic Transform
Published by
in silico Plants
Summary
journal-article
Generating new architectural designs using topological AI
Published by
The Routledge Companion to Artificial Intelligence in Architecture
Summary
book-chapter
Using persistent homology to quantify a diurnal cycle in hurricanes
Published by
Pattern Recognition Letters
Summary
journal-article
Using Zigzag Persistent Homology to Detect Hopf Bifurcations in Dynamical Systems
Published by
Algorithms
Summary
journal-article
Using Zigzag Persistent Homology to Detect Hopf Bifurcations in Dynamical Systems
Published by
Algorithms
Summary
journal-article
Using zigzag persistent homology to detect hopf bifurcations in dynamical systems
Published by
Algorithms
Summary
journal-article
Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis
Published by
Journal of Applied and Computational Topology
Summary
journal-article
The shape of things to come: Topological data analysis and biology, from molecules to organisms
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Developmental Dynamics
Summary
journal-article
The shape of things to come: Topological data analysis and biology, from molecules to organisms
Published by
Developmental Dynamics
Summary
journal-article
Using persistent homology to quantify a diurnal cycle in hurricanes
Published by
Pattern Recognition Letters
Summary
journal-article
Using persistent homology to quantify a diurnal cycle in hurricanes
Published by
Pattern Recognition Letters
Summary
journal-article
Teaspoon: A comprehensive python package for topological signal processing
Published by
Topological Data Analysis and Beyond Workshop at NeurIPS 2020
Summary
conference-paper
A Structural average of labeled merge trees for uncertainty visualization
Published by
IEEE Transactions on Visualization and Computer Graphics
Summary
journal-article
Adaptive partitioning for template functions on persistence diagrams
Published by
Proceedings - 18th IEEE International Conference on Machine Learning and Applications, ICMLA 2019
Summary
conference-paper
Chatter Diagnosis in Milling Using Supervised Learning and Topological Features Vector
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2019 18th IEEE International Conference On Machine Learning And Applications (ICMLA)
Summary
journal-article
Chatter diagnosis in milling using supervised learning and topological features vector
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Proceedings - 18th IEEE International Conference on Machine Learning and Applications, ICMLA 2019
Summary
conference-paper
The $\ell^∞$-Cophenetic Metric for Phylogenetic Trees As an Interleaving Distance
Published by
Research in Data Science
Summary
book-chapter
The ℓ <sup>∞</sup>-Cophenetic Metric for Phylogenetic Trees As an Interleaving Distance
Published by
Association for Women in Mathematics Series
Summary
book-chapter
Topological Mapper for 3D Volumetric Images
Published by
ISMM 2019: Mathematical Morphology and Its Applications to Signal and Image Processing
Summary
conference-paper
Topological mapper for 3d volumetric images
Published by
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Summary
book
Adaptive Partitioning for Template Functions on Persistence Diagrams
Published by
2019 18th IEEE International Conference On Machine Learning And Applications (ICMLA)
Summary
journal-article
A Structural Average of Labeled Merge Trees for Uncertainty Visualization
Published by
IEEE Transactions on Visualization and Computer Graphics
Summary
journal-article
CT Scan of Barley (Hordeum vulgare L.)
Summary
journal-article
Persistent homology of complex networks for dynamic state detection
Published by
Physical Review E
Summary
journal-article
Persistent Homology of Complex Networks for Dynamic State Detection
Published by
Physical Review E
Summary
journal-article
Isolating phyllotactic patterns embedded in the secondary growth of sweet cherry (Prunus avium L.) using magnetic resonance imaging
Published by
Plant Methods
Summary
journal-article
Isolating phyllotactic patterns embedded in the secondary growth of sweet cherry (Prunus avium L.) using magnetic resonance imaging
Published by
Plant Methods
Summary
journal-article
Topological data analysis for true step detection in periodic piecewise constant signals
Published by
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science
Summary
journal-article
MRI Scan of Sweet Cherry (Prunus avium L.)
Summary
data-set
Theory of interleavings on categories with a flow
Published by
Theory and Applications of Categories
Summary
journal-article
Evolutionary homology on coupled dynamical systems
Summary
journal-article
Chatter Classification in Turning using Machine Learning and Topological Data Analysis
Published by
IFAC-PapersOnLine
Summary
journal-article
Chatter Classification in Turning Using Machine Learning and Topological Data Analysis
Published by
14th IFAC Workshop on Time Delay Systems TDS 2018: Budapest, Hungary, 28–30 June 2018
Summary
conference-paper
Topological data analysis for true step detection in periodic piecewise constant signals
Published by
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Summary
journal-article
A User's Guide to Topological Data Analysis
Published by
Journal of Learning Analytics
Summary
journal-article
Utilizing Topological Data Analysis for Studying Signals of Time-Delay Systems
Published by
Time Delay Systems: Theory, Numerics, Applications, and Experiments
Summary
book-chapter
Convergence between Categorical Representations of Reeb Space and Mapper
Published by
Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH, Wadern/Saarbruecken, Germany
Summary
journal-article
Convergence between categorical representations of Reeb space and mapper
Published by
Leibniz International Proceedings in Informatics, LIPIcs
Summary
conference-paper
Convergence between Categorical Representations of Reeb Space and Mapper
Published by
32nd International Symposium on Computational Geometry (SoCG 2016)
Summary
journal-article
Categorified Reeb Graphs
Published by
Discrete and Computational Geometry
Summary
journal-article
Categorified Reeb Graphs
Published by
Discrete & Computational Geometry
Summary
journal-article
Chatter detection in turning using persistent homology
Published by
Mechanical Systems and Signal Processing
Summary
journal-article
Chatter detection in turning using persistent homology
Published by
Mechanical Systems and Signal Processing
Summary
journal-article
Topological and statistical behavior classifiers for tracking applications
Published by
IEEE Transactions on Aerospace and Electronic Systems
Summary
journal-article
Topological and statistical behavior classifiers for tracking applications
Published by
IEEE Transactions on Aerospace and Electronic Systems
Summary
journal-article
Strong Equivalence of the Interleaving and Functional Distortion Metrics for Reeb Graphs
Published by
Leibniz International Proceedings in Informatics, LIPIcs
Summary
conference-paper
Feature-aided multiple hypothesis tracking using topological and statistical behavior classifiers
Published by
Proc. SPIE
Summary
conference-paper
Feature-aided multiple hypothesis tracking using topological and statistical behavior classifiers
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Proceedings of SPIE - The International Society for Optical Engineering
Summary
conference-paper
Probabilistic Fréchet means for time varying persistence diagrams
Published by
Electron. J. Statist.
Summary
journal-article
Probabilistic Fréchet means for time varying persistence diagrams
Published by
Electronic Journal of Statistics
Summary
journal-article
Strong Equivalence of the Interleaving and Functional Distortion Metrics for Reeb Graphs
Published by
31st International Symposium on Computational Geometry (SoCG 2015)
Summary
conference-paper
Strong Equivalence of the Interleaving and Functional Distortion Metrics for Reeb Graphs
Published by
Symposium on Computational Geometry (SoCG)
Summary
journal-article
Exploring equilibria in stochastic delay differential equations using persistent homology
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Proceedings of the ASME 2014 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, August 17-20, 2014, Buffalo, NY, USA
Summary
conference-paper
Exploring equilibria in stochastic delay differential equations using persistent homology
Published by
Proceedings of the ASME Design Engineering Technical Conference
Summary
conference-paper
Stability Determiniation in Turning using Persistent Homology and Time Series Analysis
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Proceedings of the ASME 2014 International Mechanical Engineering Congress & Exposition, Montreal, Canada
Summary
conference-paper
Stability determination in turning using persistent homology and time series analysis
Published by
ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
Summary
conference-paper
Applications of Persistent Homology to Time Varying Systems