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A suitable feature representation that can both preserve the data intrinsic information and reduce data complexity and dimensionality is key to the performance of machine learning models.
Classification and Regression Trees
L. Breiman, J. Friedman, C. J. Stone, and R. A. Olshen · 1984
Earlier work this paper cites.
Weighted alpha shapes
Herbert Edelsbrunner · 1992
Earlier work this paper cites.
Three-dimensional alpha shapes
H. Edelsbrunner and E. P. Mucke · 1994
Earlier work this paper cites.
Support-vector networks
C. Cortes and V. Vapnik · 1995
Earlier work this paper cites.
SCOP: a structural classification of proteins database for the investigation of sequences and structures
A. G. Murzin, S. E. Brenner, T. Hubbard, and C. Chothia · 1995
Earlier work this paper cites.
A decision-theoretic generalization of on-line learning and an application to boosting
Y. Freund and Schapire · 1997
Earlier work this paper cites.
Functional Data Analysis
J. O. Ramsay and B. W. Silverman · 1997
Earlier work this paper cites.
Construction of symbolic dynamics from experimental time series
K. Mischaikow, M Mrozek, J. Reiss, and A. Szymczak · 1999
Earlier work this paper cites.
Random forests
Leo Breiman · 2001
Earlier work this paper cites.
Greedy function approximation: A gradient boosting machine
J. H. Friedman · 2001
Earlier work this paper cites.
Topological persistence and simplification
H. Edelsbrunner, D. Letscher, and A. Zomorodian · 2002
Earlier work this paper cites.
Computational homology
T. Kaczynski, K. Mischaikow, and M. Mrozek · 2004
Earlier work this paper cites.
Blind swarms for coverage in 2-d
V. D. Silva and R Ghrist · 2005
Earlier work this paper cites.
Computing persistent homology
A. Zomorodian and G. Carlsson · 2005
Earlier work this paper cites.
Topology for computing , volume 16
A. J. Zomorodian · 2005
Earlier work this paper cites.
Vines and vineyards by updating persistence in linear time
D. Cohen-Steiner, H. Edelsbrunner, and D. Morozov · 2006
Earlier work this paper cites.
Inferring local homology from sampled stratified spaces
P. Bendich, D. Cohen-Steiner, H. Edelsbrunner, J. Harer, and D. Morozov · 2007
Earlier work this paper cites.
A statistical approach to persistent homology
P. Bubenik and P. T. Kim · 2007
Earlier work this paper cites.
Persistent voids a new structural metric for membrane fusion
P. M. Kasson, A. Zomorodian, S. Park, N. Singhal, L. J. Guibas, and V. S. Pande · 2007
Earlier work this paper cites.
On the local behavior of spaces of natural images
G. Carlsson, T. Ishkhanov, V. Silva, and A. Zomorodian · 2008
Earlier work this paper cites.
Computing geometry aware handle and tunnel loops in 3d models
T. K. Dey, K. Y. Li, J. Sun, and C. S. David · 2008
Earlier work this paper cites.
Liblinear: A library for large linear classification
R.-E. Fan, K.-W. Chang, C.-J. Hsieh, X.-R. Wang, , and C.-J. Lin · 2008
Earlier work this paper cites.
Face vectors of flag complexes
A. Frohmader · 2008
Earlier work this paper cites.
Topological analysis of population activity in visual cortex
G. Singh, F. Memoli, T. Ishkhanov, G. Sapiro, G. Carlsson, and D. L. Ringach · 2008
Earlier work this paper cites.
Localized homology
A. Zomorodian and G. Carlsson · 2008
Earlier work this paper cites.
Topology and data
G. Carlsson · 2009
Earlier work this paper cites.
The theory of multidimensional persistence
G. Carlsson and A. Zomorodian · 2009
Earlier work this paper cites.
Computing multidimensional persistence
G. Carlsson, G. Singh, and A. Zomorodian · 2009
Earlier work this paper cites.
Similarity-based classification: Concepts and algorithms
Y. Chen, E. K. Garcia, M. R. Gupta, A. Rahimi, and L. Cazzanti · 2009
Earlier work this paper cites.
The elements of statistical learning: Data mining, inference, and prediction
Trevor Hastie, Robert Tibshirani, and Jerome Friedman · 2009
Earlier work this paper cites.
Persistent homology of complex networks
D. Horak, S Maletic, and M. Rajkovic · 2009
Earlier work this paper cites.
Topological methods for exploring low-density states in biomolecular folding pathways
Y. Yao, J. Sun, X. H. Huang, G. R. Bowman, G. Singh, M. Lesnick, L. J. Guibas, V. S. Pande, and G. Carlsson · 2009
Earlier work this paper cites.
Computing robustness and persistence for images
P. Bendich, H. Edelsbrunner, and M. Kerber · 2010
Earlier work this paper cites.
Computational topology: an introduction
H. Edelsbrunner and J. Harer · 2010
Earlier work this paper cites.
The tidy set: a minimal simplicial set for computing homology of clique complexes
A. Zomorodian · 2010
Earlier work this paper cites.
A direct estimation approach to sparse linear discriminant analysis
Tony Cai and Weidong Liu · 2011
Earlier work this paper cites.
LIBSVM: A library for support vector machines
Chih-Chung Chang and Chih-Jen Lin · 2011
Earlier work this paper cites.
Geometric inference for probability measures
F. Chazal, D. Cohen-Steiner, and Q. Mérigot · 2011
Earlier work this paper cites.
A Mayer-Vietoris formula for persistent homology with an application to shape recognition in the presence of occlusions
B. Di Fabio and C. Landi · 2011
Earlier work this paper cites.
Probability measures on the space of persistence diagrams
Y. Mileyko, S. Mukherjee, and J. Harer · 2011
Earlier work this paper cites.
Topology-based kernels with application to inference problems in alzheimer’s disease
D. Pachauri, C. Hinrichs, M.K. Chung, S.C. Johnson, and V. Singh · 2011
Earlier work this paper cites.
Javaplex: A research software package for persistent (co)homology
Andrew Tausz, Mikael Vejdemo-Johansson, and Henry Adams · 2011
Earlier work this paper cites.
Branching and circular features in high dimensional data
B. Wang, B. Summa, V. Pascucci, and M. Vejdemo-Johansson · 2011
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Local homology transfer and stratification learning
P. Bendich, B. Wang, and S. Mukherjee · 2012
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Inference for Functional Data with Applications
Lajos Horváth and Piotr Kokoszka · 2012
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Persistent brain network homology from the perspective of dendrogram
H Lee, H. Kang, M. K. Chung, B. Kim, and D. S. Lee · 2012
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A fast algorithm for constructing topological structure in large data
X. Liu, Z. Xie, and D. Y. Yi · 2012
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Multivariate data analysis using persistence-based filtering and topological signatures
B. Rieck, H. Mara, and H. Leitte · 2012
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Characterisation of the idiotypic immune network through persistent entropy
M. Rucco, F. Castiglione, E. Merelli, and M. Pettini · 2016
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On time-series topological data analysis: New data and opportunities
L. M. Seversky, S. Davis, and M. Berger · 2016
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Object-oriented persistent homology
B. Wang and G. W. Wei · 2016
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Persistence images: A stable vector representation of persistent homology
H. Adams, T. Emerson, M. Kirby, R. Neville, C. Peterson, P. Shipman, S. Chepushtanova, E. Hanson, F. Motta, and L. Ziegelmeier · 2017
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Beyond deep residual learning for image restoration: Persistent homology-guided manifold simplification
W. Bae, J. J. Yoo, and J. C. Ye · 2017
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Ripser: a lean C++ code for the computation of Vietoris-Rips persistence barcodes
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adabag: An r package for classification with boosting and bagging
Esteban Alfaro, Matías Gámez, and Noelia García · 2013
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The persistence space in multidimensional persistent homology
A. Cerri and C. Landi · 2013
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Reeb graphs: Approximation and persistence
T. K. Dey and Y. S. Wang · 2013
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Persistent Betti numbers for a noise tolerant shape-based approach to image retrieval
P. Frosini and C. Landi · 2013
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Topological measurement of protein compressibility via persistence diagrams
M. Gameiro, Y. Hiraoka, S. Izumi, M. Kramar, K. Mischaikow, and V. Nanda · 2013
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Morse theory for filtrations and efficient computation of persistent homology
K. Mischaikow and V. Nanda · 2013
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U. Bauer · 2017
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A persistence landscapes toolbox for topological statistics
P. Bubenik and P. Dłotko · 2017
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Sliced wasserstein kernel for persistence diagrams
M. Carriere, M. Cuturi, and S. Oudot · 2017
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Robust topological inference: Distance to a measure and kernel distance
F. Chazal, B. Fasy, F. Lecci, B. Michel, A. Rinaldo, A. Rinaldo, and L. Wasserman · 2017
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Big data challenges of high-dimensional continuous-time mean-variance portfolio selection and a remedy
Mei Choi Chiu, Chi Seng Pun, and Hoi Ying Wong · 2017
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Persistent homology machine learning for fingerprint classification
N. Giansiracusa, R. Giansiracusa, and C. Moon · 2017
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Deep learning with topological signatures
C. Hofer, R. Kwitt, M. Niethammer, and A. Uhl · 2017
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Why does deep and cheap learning work so well?
Henry W. Lin, Max Tegmark, and David Rolnick · 2017
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Signal classification with a point process distance on the space of persistence diagrams
A. Marchese and V. Maroulas · 2017
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Rigidity strengthening: A mechanism for protein–ligand binding
D. D. Nguyen, T. Xiao, M. L. Wang, and G. W. Wei · 2017
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Supervised learning with indefinite topological kernels
T. Padellini and P. Brutti · 2017
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Shiquan Ren, Chengyuan Wu, and Jie Wu · 2017
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Pore configuration landscape of granular crystallization
M. Saadatfar, H. Takeuchi, V. Robins, N. Francois, and Y. Hiraoka · 2017
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Time series classification via topological data analysis
Y. Umeda · 2017
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A quantitative structure comparison with persistent similarity
K. L. Xia · 2017
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Exploring generalized shape analysis by topological representations
Z. Zhou, Y. Z. Huang, L. Wang, and T. N. Tan · 2017
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Representability of algebraic topology for biomolecules in machine learning based scoring and virtual screening
Z. X. Cang, L. Mu, and G. W. Wei · 2018
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On the metric distortion of embedding persistence diagrams into reproducing kernel hilbert spaces
M. Carriere and U. Bauer · 2018
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Persistence paths and signature features in topological data analysis
I. Chevyrev, V. Nanda, and H. Oberhauser · 2018
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Protein classification with improved topological data analysis
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Sparse-tda: Sparse realization of topological data analysis for multi-way classification
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A self-calibrated regularized direct estimation for graphical selection and discriminant analysis
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Tropical coordinates on the space of persistence barcodes
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Riemannian manifold kernel for persistence diagrams
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Elements of algebraic topology
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Persistence diagrams with linear machine learning models
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A sparse learning approach to relative-volatility-managed portfolio selection
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Weighted (co) homology and weighted laplacian
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Quantitative toxicity prediction using topology based multi-task deep neural networks
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Persistent homology analysis of ion aggregations and hydrogen-bonding networks
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Multiscale persistent functions for biomolecular structure characterization
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A study on topological descriptors for the analysis of 3d surface texture
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Persistence codebooks for topological data analysis
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