Software

Description: Tool chain to statistically detect, with a given confidence, anisotropic growth in fingerprints and its preferred axis based on minutiae patterns.

Type: R package
Published: 2018-01-16
Authors: K. Markert, K. Krehl, S. Huckemann, and C. Gottschlich
Maintainer: Stephan Huckemann
Download: AnisotropicGrowth_0.1.3.tar.gz
Publication: K. Markert, K. Krehl, C. Gottschlich, and S. Huckemann. Detecting anisotropy in fingerprint growth. J. R. Stat. Soc. C 68 (2019)
Description: Computations of entropy regularized Wasserstein Distances, a.k.a. dual-Sinkhorn divergences, and entropy regularized Wasserstein Barycenters.

Type: R package
Published: 2018-05-04
Author: M. Klatt
Maintainer: Marcel Klatt
Link: https://cran.r-project.org/package=Barycenter
Description: Computing an entropic version of the Gromov-Wasserstein distance.

Type: R package
Published: 2016-09-08
Author: C. Weitkamp
Maintainer: Christoph Weitkamp
Download: entropicGW_1.0.tar.gz
Description: A deterministic sparse FFT algorithm (FAST) for functions with block-structured Fourier sparsity.

Type: C++ code
Published: 2017-05-05
Authors: S. Bittens, R. Zhang, and M.A. Iwen
Download: FAST_block_sparse_Cpp.zip
Publication: S. Bittens, R. Zhang, and M.A. Iwen. A deterministic sparse FFT for functions with structured Fourier sparsity. Adv. Comput. Math. 45 (2019)
Description: This package implements the Multiscale Nemirovski-Dantzig estimator (MIND) and its related estimators for nanparametric regression and statistical inverse problems.

Type: MATLAB package
Published: 2015
Authors: H. Li and M. Grasmair
Link: https://stochastik.math.uni-goettingen.de/index.php?id=211
Publication: M. Grasmair, H. Li, and A. Munk. Variational multiscale nonparametric regression: Smooth functions. Ann. Inst. H. Poincaré Probab. Statist. 54 (2018)
Description: Takes two input Pgrids and a tranport plan between the two and generates a gif showing the mass transported at a specified range of transport lengths.

Type: R package
Published: 2018-09-06
Author: F. Heinemann
Maintainer: Florian Heinemann
Download: MultScVisTransport_0.1.0.tar.gz
Description: Sample from the limiting distributions of empirical Wasserstein distances under the null hypothesis and under the alternative. Perform a two-sample test on multivariate data using these limiting distributions and binning.

Type: R package
Published: 2017-03-07
Author: M. Sommerfeld
Maintainer: Max Sommerfeld
Link: https://cran.r-project.org/package=otinference
Publication: M. Sommerfeld and A. Munk. Inference for empirical Wasserstein distances on finite spaces. J. R. Stat. Soc. B 80 (2018)
Description: A Region Based EPWT-like method for Sparse Image Representation.

Type: Python code
Published: 2017
Author: R. Budinich
Link: https://github.com/nareto/rbepwt
Publication: R. Budinich. A region-based easy-path wavelet transform for sparse image representation. Int. J. Wavelets Multi. 15 (2017)
Description: Computation and visualization of the (semi-discrete) optimal transport for the Euclidean cost function from a continuous to a discrete measure.

Type: C++ code
Published: 2017
Authors: V. Hartmann and D. Schuhmacher
Link: https://github.com/valentin-hartmann-research/semi-discrete-transport
Publication: V. Hartmann and D. Schuhmacher. Semi-discrete optimal transport: a solution procedure for the unsquared Euclidean distance case. Math. Meth. Oper. Res. (2020)
Description: This package implements the estimator SLAM.

Type: R package
Published: 2018
Author: M. Behr
Link: https://stochastik.math.uni-goettingen.de/index.php?id=226
Publication: M. Behr, C. Holmes, and A. Munk. Multiscale blind source separation. Ann. Statist. 46 (2018)
Description: Solve optimal transport problems. Compute Wasserstein distances (a.k.a. Kantorovitch, Fortet–Mourier, Mallows, Earth Mover's, or minimal L_p distances), return the corresponding transference plans, and display them graphically. Objects that can be compared include grey-scale images, (weighted) point patterns, and mass vectors.

Type: R package
Published: 2020-03-11
Authors: D. Schuhmacher, B. Bähre, N. Bonneel, C. Gottschlich, V. Hartmann, F. Heinemann, B. Schmitzer, J. Schrieber, and T. Wilm
Maintainer: Dominic Schuhmacher
Link: https://cran.r-project.org/package=transport
Description: Computes a point pattern in R^2 or on a graph that is representative of a collection of many data patterns. The result is an approximate barycenter (also known as Fréchet mean or prototype) based on a transport-transform metric. Possible choices include Optimal SubPattern Assignment (OSPA) and Spike Time metrics.

Type: R package
Published: 2019-12-13
Authors: R. Müller and D. Schuhmacher
Maintainer: Dominic Schuhmacher
Link: https://cran.r-project.org/package=ttbary
Publication: R. Müller, D. Schuhmacher, and J. Mateu. Metrics and barycenters for point pattern data. Stat. Comput. 30 (2020)
Description: This package computes Principal Geodesics and Barycenters in the 2-Wasserstein-Space to perform PCA on images.

Type: R package
Published: 2018-11-06
Author: F. Heinemann
Maintainer: Florian Heinemann
Download: WassersteinPCA_1.0.tar.gz