Statistical Inference for Cluster Trees
Jisu Kim, Yen-Chi Chen, Sivaraman Balakrishnan, Alessandro Rinaldo, Larry Wasserman.
Advances in Neural Information Processing Systems 29 (NIPS 2016).
[ arXiv | NIPS | BibTeX ]
Minimax Rates for Estimating the Dimension of a Manifold
Jisu Kim, Alessandro Rinaldo, Larry Wasserman.
[ arXiv | BibTeX ]
Non-parametric Modal Regression
Yen-Chi Chen, Christopher R. Genovese, Ryan J. Tibshirani, Larry Wasserman.
The Annals of Statistics, Volume 44, Number 2.
[ arXiv | The Annals of Statistics | BibTeX ]
Asymptotic Theory for Density Ridges
Yen-Chi Chen, Christopher Genovese, Larry Wasserman.
The Annals of Statistics, Volume 43, Number 5.
[ arXiv | Project Euclid | BibTeX ]
Statistical Inference Using the Morse-Smale Complex
Yen-Chi Chen, Christopher R. Genovese, Larry Wasserman.
[ arXiv | BibTeX ]
Optimal Ridge Detection using Coverage Risk
Yen-Chi Chen, Christopher R. Genovese, Shirley Ho, Larry Wasserman.
Advances in Neural Information Processing Systems 28 (NIPS 2015).
[ arXiv | NIPS | BibTeX ]
Density Level Sets: Asymptotics, Inference, and Visualization
Yen-Chi Chen, Christopher R. Genovese, Larry Wasserman.
[ arXiv | BibTeX ]
Introduction to the R package TDA
Brittany Terese Fasy, Jisu Kim, Fabrizio Lecci, Clément Maria, Vincent Rouvreau.
[ arXiv | BibTeX | CRAN | Reference Manual | Vignettes | Fabrizio’s page ]
Confidence sets for persistence diagrams
Brittany Fasy, Fabrizio Lecci, Alessandro Rinaldo, Larry Wasserman, Sivaraman Balakrishnan, Aarti Singh.
The Annals of Statistics, Volume 42, Number 6.
[ arXiv | Project Euclid | BibTeX ]
Nonparametric Ridge Estimation
Christopher R. Genovese, Marco Perone-Pacifico, Isabella Verdinelli, Larry Wasserman.
The Annals of Statistics, Volume 42, Number 4.
[ arXiv | BibTeX ]
Subsampling Methods for Persistent Homology
Frédéric Chazal, Brittany Terese Fasy, Fabrizio Lecci, Bertrand Michel, Alessandro Rinaldo, Larry Wasserman.
The 32nd International Conference on Machine Learning.
[ arXiv | JMLR | BibTeX ]
Generalized Mode and Ridge Estimation
Yen-Chi Chen, Christopher Genovese, Larry Wasserman.
[ arXiv | BibTeX ]
Statistical Analysis of Metric Graph Reconstruction
Fabrizio Lecci, Alessandro Rinaldo, Larry Wasserman.
Journal of Machine Learning Research
[ arXiv | JMLR | BibTeX ]
On the Bootstrap for Persistence Diagrams and Landscapes
Frédéric Chazal, Brittany Terese Fasy, Fabrizio Lecci, Alessandro Rinaldo, Aarti Singh, Larry Wasserman.
Modeling and Analysis of Information Systems, 2013, Volume 20, Number 6.
[ arXiv | Modeling and Analysis of Information Systems | BibTeX ]
Nonparametric 3D map of the IGM using the Lyman-alpha forest
Jessi Cisewski, Rupert A. C. Croft, Peter E. Freeman, Christopher R. Genovese, Nishikanta Khandai, Melih Ozbek, Larry Wasserman.
[ arXiv | BibTeX ]
Nonparametric Inference For Density Modes
Christopher Genovese, Marco Perone-Pacifico, Isabella Verdinelli, Larry Wasserman.
[ arXiv | BibTeX ]
Uncertainty Measures and Limiting Distributions for Filament Estimation
Yen-Chi Chen, Christopher Genovese, Larry Wasserman.
[ arXiv | BibTeX ]
Stochastic Convergence of Persistence Landscapes and Silhouettes
Frédéric Chazal, Brittany Terese Fasy, Fabrizio Lecci, Alessandro Rinaldo, Larry Wasserman.
The 30th Annual Symposium on Computational Geometry (SoCG 2014)
[ arXiv | BibTeX ]
Mapping Topographic Structure in White Matter Pathways with Level Set Trees
Brian P. Kent, Alessandro Rinaldo, Fang-Cheng Yeh, Timothy Verstynen.
[ arXiv | BibTeX ]
DeBaCl: A Python Package for Interactive DEnsity-BAsed CLustering
Brian P. Kent, Alessandro Rinaldo, Timothy Verstynen.
[ arXiv | BibTeX | Documentation | Code | PyPI | Brian’s page ]
Tight Lower Bounds for Homology Inference
Sivaraman Balakrishnan, Alessandro Rinaldo, Aarti Singh, Larry Wasserman.
[ arXiv | BibTeX ]
Cluster Trees on Manifolds
Sivaraman Balakrishnan, Srivatsan Narayanan, Alessandro Rinaldo, Aarti Singh, Larry Wasserman.
Advances in Neural Information Processing Systems 26 (NIPS 2013)
[ arXiv | NIPS | BibTeX ]
Manifold estimation and singular deconvolution under Hausdorff loss
Christopher R. Genovese, Marco Perone-Pacifico, Isabella Verdinelli, Larry Wasserman.
The Annals of Statistics, Volume 40, Number 2.
[ arXiv | Project Euclid | BibTeX ]
Minimax Rates for Homology Inference
Sivaraman Balakrishnan, Alessandro Rinaldo, Don Sheehy, Aarti Singh, Larry Wasserman.
The Fifteenth International Conference on Artificial Intelligence and Statistics (AISTATS 2012)
[ arXiv | JMLR | BibTeX ]
Minimax Manifold Estimation
Christopher Genovese, Marco Perone-Pacifico, Isabella Verdinelli, Larry Wasserman.
Journal of Machine Learning Research
[ arXiv | JMLR | BibTeX ]
The Geometry of Nonparametric Filament Estimation
Christopher R. Genovese, Marco Perone-Pacifico, Isabella Verdinelli, Larry Wasserman.
Journal of the American Statistical Association, Volume 107.
[ arXiv | BibTeX ]
On the path density of a gradient field
Christopher R. Genovese, Marco Perone-Pacifico, Isabella Verdinelli, Larry Wasserman.
The Annals of Statistics, Volume 40, Number 2.
[ arXiv | Project Euclid | BibTeX ]