# Publications

Gravner, J. ; Sivakoff, D. , Bootstrap percolation on the product of the two-dimensional lattice with a Hamming square, Accepted in Annals of Applied Probability

Hang, H. ; Mio, W. ; Memoli, F. , A topological study of Frechet functions on metric measure spaces, Journal of Applied and Computational Topology 2019

Zhao Q. ; Wang Y. , Learning metrics for persistence-based summaries and applications for graph classification, https://arxiv.org/abs/1904.12189

Kim, W. ; Memoli, F. , Stable Persistent Homology Features of Dynamic Metric Spaces, https://arxiv.org/abs/1812.00949

Chowdhury, S. ; Mémoli, F. , The Gromov–Wasserstein distance between networks and stable network invariants, November 2019, Information and Inference: A Journal of the IMA

Dey, T. K. ; Xin, C. , Computing Bottleneck Distance for 2-D Interval Decomposable Modules, June 2018, 34th International Symposium on Computational Geometry (SoCG 2018)

Elchesen, A. ; Memoli, F. , The Reflection distance for persistence modules, Published in the Journal of Applied and Computational Topology 2019

Kim, W.; Memoli, F. , Generalized Persistence Diagrams for Persistence Modules over Posets, https://arxiv.org/abs/1810.11517

Tucker, J. D. ; Lewis, J. R. ; King, C. ; Kurtek, S. , A geometric approach for computing tolerance bounds for elastic functional data, July 2019, Journal of Applied Statistics

Bharath, K. ; Kurtek, S. , Distribution on Warp Maps for Alignment of Open and Closed Curves, July 2019, Journal of the American Statistical Association

Cho, M. H. ; Asiaee, A. ; Kurtek, S. , Elastic Statistical Shape Analysis of Biological Structures with Case Studies: A Tutorial, July 2019, Bulletin of Mathematical Biology

Touli, E. F.; Wang, Y. , FPT-algorithms for computing Gromov-Hausdorff and interleaving distances between trees, Accepted to 27th Annl European Sympos. Alg. (ESA), 2019

Kahle, M. ; Tian, M. ; Wang, Y. , Local cliques in ER-perturbed random geometric graphs, https://arxiv.org/abs/1810.8383

Memoli, F. ; Smith, Z.; Wan, Z. , The Wasserstein Transform, Accepted and presented at the 2019 International Conference for Machine Learning

Xie, W. ; Chkrebtii, O. ; Kurtek, S. , Visualization and Outlier Detection for Multivariate Elastic Curve Data, June 2019, IEEE Transactions on Visualization and Computer Graphics

Memoli, F. ; Singhal K. , A primer on Persistent Homology of Finite Metric Spaces, Bulletin of Mathematical Biology, 2019

Dey, T. K. ; Xin, C. , Generalized Persistence Algorithm for Decomposing Multi-parameter Persistence Modules, Submitted to May 2019, https://arxivorg/abs/1904.3766

Chen, C. ; Ni, X. ; Bai, Q. ; Wang, Y. , A Topological Regularizer for Classifiers via Persistent Homology, April 2019, Proceedings of Machine Learning Research

Lyu, H. ; Sivakoff, D. , Persistence of sums of correlated increments and clustering in cellular automata, Stochastic Processes and their Applications, 2019; 129(4), 1132-1152

Saha, A. ; Bharath, K. ; Kurtek, S. , A Geometric Variational Approach to Bayesian Inference, March 2019, Journal of the American Statistical Association

Dey, T. K. , Computing height persistence and homology generators in R^3 efficiently, Appeared in Proc. 30th ACM-SIAM Symposium on Discrete Algorithms (SODA 19), pages 2649–2662

Saha, A. ; Kurtek, S. , Geometric Sensitivity Measures for Bayesian Nonparametric Density Estimation Models, February 2019, Sankhya A

Damron, M. ; Gravner, J. ; Junge M.; Lyu, H. ; Sivakoff, D. , Parking on transitive unimodular graphs, Annals of Applied Probability, 2019; 29(4), 2089-2113

Strait, J. ; Chkrebtii, O. ; Kurtek, S. , Automatic Detection and Uncertainty Quantification of Landmarks on Elastic Curves, December 2018, Journal of the American Statistical Association

Bharath, K. ; Kurtek, S. ; Rao, A. ; Baladandayuthapani, V. , Radiologic image-based statistical shape analysis of brain tumours, November 2018, Journal of the Royal Statistical Society: Series C (Applied Statistics)

Memoli, F. ; Okutan, O. B. , Metric Graph Approximations of Geodesic Spaces, https://arxiv.org/abs/1809.5566

Damron, M. ; Petrov L. ; Sivakoff, D. , Coarsening model on ℤd with biased zero-energy flips and an exponential large deviation bound for ASEP, Communications in Mathematical Physics, 2018; 362(1), 185-217

Dey, T. K. ; Wang, J. ; Wang, Y. , Graph Reconstruction by Discrete Morse Theory, June 2018, Leibniz international proceedings in informatics

Dey, T. K. ; Li, T. ; Wang, Y. , Efficient Algorithms for Computing a Minimal Homology Basis, March 2018, Latin American Symposium on Theoretical Informatics

Strait, J. ; Kurtek, S. ; MacEachern, S. N. , Locally-Weighted Elastic Comparison of Planar Shapes, January 2018, IEEE Workshop on Differential Geometry in Computer Vision and Machine Learning

Mémoli, F. ; Okutan, O. B. , The Distortion of the Reeb Quotient Map on Riemannian Manifolds, https://arxiv.org/abs/1801.1562

Adamaszek, M. ; Adams, H. ; Gasparovic, E. ; Gommel, M. ; Purvine, E. ; Sazdanovic, R. ; Wang, B. ; Wang, Y. ; Ziegelmeier, L. , Vietoris-Rips and Cech Complexes of Metric Gluings, January 2018, 34th International Symposium on Computational Geometry (SoCG 2018)

Strait, J. ; Kurtek, S. , A novel algorithm for optimal matching of elastic shapes with landmark constraints, November 2017, International Conference on Image Processing Theory, Tools and Applications

Dey, T. K. ; Mémoli, F. ; Wang, Y. , Multiscale mapper: Topological summarization via codomain covers, Proceedings of the twenty-seventh annual ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial and Applied Mathematics, 2016