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A Topological Machine Learning Pipeline for Classification
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf00200823openalex-snapshot
On the use of size functions for shape analysis
inferredcites →https://doi.org/10.1007/s00454-006-1276-5openalex-snapshot
Stability of Persistence Diagrams
inferredcites →https://doi.org/10.1007/s00454-009-9176-0openalex-snapshot
The Theory of Multidimensional Persistence
inferredcites →https://doi.org/10.1007/s10444-021-09893-4openalex-snapshot
Persistence Curves: A canonical framework for summarizing persistence diagrams
inferredcites →https://doi.org/10.1007/s10851-008-0096-zopenalex-snapshot
Multidimensional Size Functions for Shape Comparison
inferredcites →https://doi.org/10.1007/s12021-017-9341-1openalex-snapshot
A Topological Representation of Branching Neuronal Morphologies
inferredcites →https://doi.org/10.1016/j.cagx.2019.100005openalex-snapshot
A kernel for multi-parameter persistent homology
inferredcites →https://doi.org/10.1017/s0004972700028574openalex-snapshot
A distance for similarity classes of submanifolds of a Euclidean space
inferredcites →https://doi.org/10.1038/ncomms9581openalex-snapshot
Topological data analysis for discovery in preclinical spinal cord injury and traumatic brain injury
inferredcites →https://doi.org/10.1038/s41592-019-0686-2openalex-snapshot
SciPy 1.0: fundamental algorithms for scientific computing in Python
inferredcites →https://doi.org/10.1038/s42256-019-0087-3openalex-snapshot
Towards a topological–geometrical theory of group equivariant non-expansive operators for data analysis and machine learning
inferredcites →https://doi.org/10.1038/srep01236openalex-snapshot
Extracting insights from the shape of complex data using topology
inferredcites →https://doi.org/10.1080/00401706.1970.10488634openalex-snapshot
Ridge Regression: Biased Estimation for Nonorthogonal Problems
inferredcites →https://doi.org/10.1080/00401706.1974.10489157openalex-snapshot
The Relationship Between Variable Selection and Data Agumentation and a Method for Prediction
inferredcites →https://doi.org/10.1088/0266-5611/27/12/120201openalex-snapshot
Topological data analysis
inferredcites →https://doi.org/10.1093/imaiai/iau011openalex-snapshot
Persistent homology transform for modeling shapes and surfaces
inferredcites →https://doi.org/10.1109/cvpr.2017.576openalex-snapshot
Geometric Deep Learning on Graphs and Manifolds Using Mixture Model CNNs
inferredcites →https://doi.org/10.1109/icmla.2019.00256openalex-snapshot
A Topological "Reading" Lesson: Classification of MNIST using TDA
inferredcites →https://doi.org/10.1109/msp.2012.2211477openalex-snapshot
The MNIST Database of Handwritten Digit Images for Machine Learning Research [Best of the Web]
inferredcites →https://doi.org/10.1109/msp.2017.2693418openalex-snapshot
Geometric Deep Learning: Going beyond Euclidean data
inferredcites →https://doi.org/10.1111/j.2517-6161.1996.tb02080.xopenalex-snapshot
Regression Shrinkage and Selection Via the Lasso
inferredcites →https://doi.org/10.1145/1057432.1057449openalex-snapshot
Persistence barcodes for shapes
inferredcites →https://doi.org/10.1145/1391729.1391731openalex-snapshot
Describing shapes by geometrical-topological properties of real functions
inferredcites →https://doi.org/10.1145/2582112.2582128openalex-snapshot
Stochastic Convergence of Persistence Landscapes and Silhouettes
inferredcites →https://doi.org/10.1145/3065386openalex-snapshot
ImageNet classification with deep convolutional neural networks
inferredcites →https://doi.org/10.1527/tjsai.d-g72openalex-snapshot
Time Series Classification via Topological Data Analysis
inferredcites →https://doi.org/10.2139/ssrn.3275996openalex-snapshot
Persistent-Homology-Based Machine Learning and Its Applications -- A Survey
inferredcites →https://doi.org/10.3389/frai.2021.681174openalex-snapshot
A Comparative Study of Machine Learning Methods for Persistence Diagrams
inferredcites →https://doi.org/10.3389/frai.2022.786091openalex-snapshot
On the Construction of Group Equivariant Non-Expansive Operators via Permutants and Symmetric Functions
inferredcites →https://doi.org/10.4097/kjae.2015.68.6.540openalex-snapshot
T test as a parametric statistic
inferredcites →https://doi.org/10.48550/arxiv.1201.0490openalex-snapshot
Scikit-learn: Machine Learning in Python
inferredcites →https://doi.org/10.48550/arxiv.1708.07747openalex-snapshot
Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms
inferredcites →https://doi.org/10.48550/arxiv.1806.10714openalex-snapshot
A Topological Regularizer for Classifiers via Persistent Homology
inferredcites →https://doi.org/10.48550/arxiv.1904.09378openalex-snapshot
PersLay: A Neural Network Layer for Persistence Diagrams and New Graph Topological Signatures
inferredcites →https://doi.org/10.5555/2789272.2789275openalex-snapshot
Statistical topological data analysis using persistence landscapes
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-3-032-37976-4_23openalex-snapshot
PersiSTabNet: Persistence Statistics Tabular Network for Point Cloud Classification
inferred← citeshttps://doi.org/10.1007/978-981-96-6034-6_28openalex-snapshot
Vibrotactile Feedback and Sonification Approaches in Texture Analysis of Domain-Specific Images
inferred← citeshttps://doi.org/10.1007/978-981-99-2322-9_7openalex-snapshot
Identifying Critical Transition in Bitcoin Market Using Topological Data Analysis and Clustering
inferred← citeshttps://doi.org/10.1007/s00521-026-12289-4openalex-snapshot
Topology-informed deep learning estimation using feedforward attention layer for high-rate state estimation
inferred← citeshttps://doi.org/10.1007/s10462-025-11462-wopenalex-snapshot
Topological data analysis and topological deep learning beyond persistent homology: a review
inferred← citeshttps://doi.org/10.1007/s11135-023-01708-6openalex-snapshot
The promises of persistent homology, machine learning, and deep neural networks in topological data analysis of democracy survival
inferred← citeshttps://doi.org/10.1016/j.jfranklin.2024.107249openalex-snapshot
Harnessing topological machine learning in Raman spectroscopy: Perspectives for Alzheimer’s disease detection via cerebrospinal fluid analysis
inferred← citeshttps://doi.org/10.1038/s41598-023-34457-5openalex-snapshot
Raman spectroscopy and topological machine learning for cancer grading
inferred← citeshttps://doi.org/10.1109/cai68641.2026.11536554openalex-snapshot
An Investigation of Topological Machine Learning in Industrial Domain: Application to Tyre Noise Prediction
inferred← citeshttps://doi.org/10.1109/icstcee60504.2023.10584942openalex-snapshot
Improving the Accuracy of Deep Learning Models for Alzheimer’s Disease Classification Trained on Very Small Training Sets Using Topological Data Analysis
inferred← citeshttps://doi.org/10.1109/itnt57377.2023.10139044openalex-snapshot
Analysis of sea surface temperature maps via topological machine learning
inferred← citeshttps://doi.org/10.1109/tpami.2023.3308391openalex-snapshot
A Survey of Vectorization Methods in Topological Data Analysis
inferred← citeshttps://doi.org/10.1137/23m1573811openalex-snapshot
Wavelet-Based Density Estimation for Persistent Homology
inferred← citeshttps://doi.org/10.3390/cancers15092606openalex-snapshot
Persistent Homology-Based Machine Learning Method for Filtering and Classifying Mammographic Microcalcification Images in Early Cancer Detection
inferred← citeshttps://doi.org/10.3390/engproc2023051014openalex-snapshot
Alzheimer Disease Detection from Raman Spectroscopy of the Cerebrospinal Fluid via Topological Machine Learning
inferred← citeshttps://doi.org/10.3390/math12050725openalex-snapshot
Persistent Homology Identifies Pathways Associated with Hepatocellular Carcinoma from Peripheral Blood Samples
inferred← citeshttps://doi.org/10.3390/math14111939openalex-snapshot
Topological Machine Learning Framework for Phase Portrait Classification of Nonlinear Dynamical Systems
inferred← citeshttps://doi.org/10.3390/proceedings2025129053openalex-snapshot
Topological Machine Learning for Discriminative Spectral Band Identification in Raman Spectroscopy of Pathological Samples
inferred← citeshttps://doi.org/10.3390/proceedings2025129061openalex-snapshot
Topological Machine Learning for Raman Spectroscopy: Perspectives for Pancreatic Diseases
inferred← citeshttps://doi.org/10.3934/math.20251071openalex-snapshot
Mix-GENEO: A flexible filtration for multiparameter persistent homology detects digital images
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