Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams | Paper Citation Record

Observation 9c662f31-0e08-4d29-a66b-34fb91e9bcfa · outbound

This paper cites Persistence images: A stable vector representation of persistent homology.Journal of Machine Learning Research, 18, 2017.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Persistence images: A stable vector representation of persistent homology.Journal of Machine Learning Research, 18, 2017

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Observation 2f1f6636-8748-4dfd-a51f-3695bb471d13 · outbound

This paper cites Persistent homology for breast tumor classification using mammogram scans.Mathematics, 10(21):4039, 2022.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Persistent homology for breast tumor classification using mammogram scans.Mathematics, 10(21):4039, 2022

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Observation 2c028c6c-057b-4fea-a40b-4e43d4d9325d · outbound

This paper cites On the stability of persistent entropy and new summary functions for topological data analysis.Pattern Recognition, 107:107509, 2020.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams On the stability of persistent entropy and new summary functions for topological data analysis.Pattern Recognition, 107:107509, 2020

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This paper cites The hausdorff metric and convergence in measure.Michigan Mathematical Journal, 20(4):63–64, 1974.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams The hausdorff metric and convergence in measure.Michigan Mathematical Journal, 20(4):63–64, 1974

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Observation e96a149c-fd6a-42f8-998d-d4ea8ca1ec99 · outbound

This paper cites Springer Science & Business Media, 2007.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Springer Science & Business Media, 2007

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This paper cites Random forests.Machine Learning, 45:5–32, 2001.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Random forests.Machine Learning, 45:5–32, 2001

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Observation e161c05d-0244-4e47-980c-1ee9ce601fbf · outbound

This paper cites The persistence landscape and some of its properties.Topological Data Analysis, 2020.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams The persistence landscape and some of its properties.Topological Data Analysis, 2020

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Observation c9b1a625-5914-4221-b5ef-e9093e571d2b · outbound

This paper cites A persistence landscapes toolbox for topological statistics.Journal of Symbolic Computation, 78:91–114, 2017.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams A persistence landscapes toolbox for topological statistics.Journal of Symbolic Computation, 78:91–114, 2017

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Observation 3a3eabc3-5ea7-4cbe-a602-039115903191 · outbound

This paper cites A dendrite method for cluster analysis.Communications in Statistics-theory and Methods, 3(1):1–27, 1974.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams A dendrite method for cluster analysis.Communications in Statistics-theory and Methods, 3(1):1–27, 1974

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Observation ddf9159c-46c9-4e5f-b68c-e1622c28f30f · outbound

This paper cites Approximating persistent homology for large datasets.arXiv preprint arXiv:2204.09155, 2022.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Approximating persistent homology for large datasets.arXiv preprint arXiv:2204.09155, 2022

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Observation 424ba5ff-fcf1-4345-82d3-dfae950382ce · outbound

This paper cites Perslay: A neural network layer for persistence diagrams and new graph topological signatures.International Conference on Artificial Intelligence and Statistics, 2020.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Perslay: A neural network layer for persistence diagrams and new graph topological signatures.International Conference on Artificial Intelligence and Statistics, 2020

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Observation 96ed64ad-2dbe-4342-bf66-9bd81493f972 · outbound

This paper cites Sliced wasserstein kernel for persistence diagrams.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Sliced wasserstein kernel for persistence diagrams

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Unresolved cited work

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This paper cites Pointnet: Deep learning on point sets for 3d classification and segmentation.IEEE Conference on Computer Vision and Pattern Recognition, 2017.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Pointnet: Deep learning on point sets for 3d classification and segmentation.IEEE Conference on Computer Vision and Pattern Recognition, 2017

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This paper cites The density of expected persistence diagrams and its kernel based estimation.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams The density of expected persistence diagrams and its kernel based estimation

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Observation b932a02d-e68c-47b4-b33b-300ad4041420 · outbound

This paper cites Subsampling methods for persistent homology.International Conference on Machine Learning, 2015.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Subsampling methods for persistent homology.International Conference on Machine Learning, 2015

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Observation cd102659-5400-4e89-a451-44dfe333c744 · outbound

This paper cites Stochas- tic convergence of persistence landscapes and silhouettes.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Stochas- tic convergence of persistence landscapes and silhouettes

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Observation 8f7c7ea1-af9a-4af2-8120-a60dc00fd17a · outbound

This paper cites An introduction to topological data analysis: Fundamental and practical aspects for data scientists.Frontiers in Artificial Intelligence, 4:667963, 2021.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams An introduction to topological data analysis: Fundamental and practical aspects for data scientists.Frontiers in Artificial Intelligence, 4:667963, 2021

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Observation 35995050-96c0-4d36-934f-a5e6de2c2c10 · outbound

This paper cites Persistence paths and signature features in topological data analysis.IEEE Transactions on Pattern Analysis and Machine Intelligence, 42(1):192–202, 2018.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Persistence paths and signature features in topological data analysis.IEEE Transactions on Pattern Analysis and Machine Intelligence, 42(1):192–202, 2018

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Observation 2088ec98-e5e5-4c0d-8ceb-7bc0a390a359 · outbound

This paper cites An entropy-based persistence barcode.Pattern Recognition, 48(2):391–401, 2015.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams An entropy-based persistence barcode.Pattern Recognition, 48(2):391–401, 2015

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Observation 63db8a97-8a8e-42a5-8621-e0c656d65b5d · outbound

This paper cites Persistence curves: A canonical framework for summarizing persis- tence diagrams.Advances in Computational Mathematics, 48(1):6, 2022.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Persistence curves: A canonical framework for summarizing persis- tence diagrams.Advances in Computational Mathematics, 48(1):6, 2022

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This paper cites The ucr time series archive.IEEE/CAA Journal of Automatica Sinica, 6(6):1293–1305, 2019.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams The ucr time series archive.IEEE/CAA Journal of Automatica Sinica, 6(6):1293–1305, 2019

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This paper cites Comparing persistence diagrams through complex vectors.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Comparing persistence diagrams through complex vectors

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This paper cites Estimation and quantization of expected persistence diagrams.Interna- tional Conference On Machine Learning, 2021.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Estimation and quantization of expected persistence diagrams.Interna- tional Conference On Machine Learning, 2021

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Persistence b-spline grids: stable vector representation of persistence diagrams based on data fitting.Machine Learning, 113(3):1373–1420, 2024

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Observation f71e32fe-d58d-4fcb-b43d-a792e3fed15b · outbound

This paper cites Edelsbrunner, D.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Edelsbrunner, D

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams The union of balls and its dual shape

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Representing size functions by complex polynomials.Proc

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams The optimal partial transport problem.Archive for Rational Mechanics and Analysis, 195(2):533–560, 2010

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Scope: Structural classification of pro- teins—extended, integrating scop and astral data and classification of new structures.Nucleic Acids Research, 42(D1):D304–D309, 2014

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams On the vietoris-rips complexes and a cohomology theory for metric spaces

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Graph filtration learning.International Conference on Machine Learning, 2020

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Deep learning with topological signatures.Advances in Neural Information Processing Systems, 2017

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Hofer, Roland Kwitt, and Marc Niethammer

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Topological graph neural networks.International Conference on Learning Representations, 2021

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Tropical coordinates on the space of persistence barcodes.Foundations of Computational Mathematics, 19(1):101–129, 2019

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams A large-scale annotated mechanical components benchmark for classification and retrieval tasks with deep neural networks

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Kernel method for persistence diagrams via kernel embedding and weight factor.Journal of Machine Learning Research, 18(1):6947–6987, 2017

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Persistence fisher kernel: A riemannian manifold kernel for persistence diagrams.Advances in Neural Information Processing Systems, 2018

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Quantifying similarity of pore-geometry in nanoporous materials.Nature Communications, 8(1):1–8, 2017

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams On the dynamics of discrete food chains: Low-and high-frequency behavior and optimality of chaos.Journal of Mathematical Biology, 45(5):396–418, 2002

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Dowker complex based machine learning (dcml) models for protein-ligand binding affinity prediction.PLOS Computational Biology, 18(4):1 – 17, 2022

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Weighted persistent homology for biomolecular data analysis.Scientific Reports, 10(1):1–15, 2020

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Adaptive topological feature via persistent homology: filtration learning for point clouds.Advances in Neural Information Processing Systems, 2024

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Approximating continuous functions on persistence diagrams using template functions.Foundations of Computational Mathematics, 23(4):1215– 1272, 2023

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams The geometric stability of voronoi diagrams with respect to small changes of the sites

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams A stable multi-scale kernel for topological machine learning.IEEE Conference on Computer Vision and Pattern Recognition, 2015

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Gaussian mixture models.Encyclopedia of biometrics, 741(659-663), 2009

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Atol: measure vectoriza- tion for automatic topologically-oriented learning

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Characterisation of the idiotypic immune network through persistent entropy.European Conference on Complex Systems, 2016

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Simplicial complexes and complex systems

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Observation 257bc85e-a7ce-4e5a-8cfa-646ae29b5d33 · outbound

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams On time-series topological data analysis: New data and opportunities.IEEE Conference on Computer Vision and Pattern Recognition workshops, 2016

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Observation d0d3f5e3-49d6-400b-82a2-70136aea043d · outbound

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Support vector machine.Machine learning models and algorithms for big data classification: thinking with examples for effective learning, pages 207–235, 2016

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Observation 017f63de-d0c2-44b0-9656-4b1bacc179ab · outbound

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Representation of molecular structures with persistent homology for machine learning applications in chemistry.Nature Communications, 11(1):1–9, 2020

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Observation 573270ec-5069-4ef5-86a4-28a03ad0164c · outbound

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Visualizing data using t-sne.Journal of Machine Learning Research, 9(11), 2008

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Observation 917e9239-4f76-4996-a676-088f55162682 · outbound

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Attention is all you need.Advances in Neural Information Processing Systems, 2017

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Observation 0774ba99-6274-4be4-8c7a-67f973b49cc7 · outbound

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams The wasserstein distances.Optimal transport: old and new, pages 93–111, 2009

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Observation 89a9b73d-dc17-42e0-b56d-ad71a4b1490e · outbound

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Multiset Transformer: Advancing Representation Learning in Persistence Diagrams

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Observation 5bda0f50-f69e-40f9-b4e9-bc81c82858a9 · outbound

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Topological data analysis.Annual Review of Statistics and Its Application, 5:501–532, 2018

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Observation bb4b6d89-8955-4f67-a29c-e4a66653c8bd · outbound

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams On the estimation of persistence intensity functions and linear representations of persistence diagrams.International Conference on Artificial Intelligence and Statistics, 2024

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Observation c07a91d5-469f-45e3-8a09-30273cd0f268 · outbound

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Multiscale persistent functions for biomolecular structure characteri- zation.Bulletin of mathematical biology, 80:1–31, 2018

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Observation b842ff72-454a-4ad8-8663-d5d8287c0231 · outbound

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Multidimensional persistence in biomolecular data.Journal of Computational Chemistry, 36(20):1502–1520, 2015

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Observation cfcd7b81-eedf-42c8-ba31-8e403b1990cf · outbound

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Deep sets.Advances in Neural Information Processing Systems, 2017

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Observation 9388abcf-0997-4061-9268-ff1757cc2b45 · outbound

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Gefl: extended filtration learning for graph classifica- tion.Learning on Graphs Conference, 2022

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Observation 51ccc13c-42de-48fd-9244-9be743447a3e · outbound

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Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams Persistence bag-of-words for topological data analysis.International Joint Conference on Artificial Intelligence, 2019

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Observation d0e77404-3ff8-4c07-a354-f8b4a172b8eb · outbound

This paper cites The geometric stability of Voronoi diagrams with respect to small changes of the sites.

Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams The geometric stability of Voronoi diagrams with respect to small changes of the sites

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