transport: Optimal Transport in Various Forms

Solve optimal transport problems in statistics. Compute Wasserstein metrics (a.k.a. Kantorovitch, Fortet--Mourier, Mallows, Earth Mover's, or minimal L_p metrics), return the corresponding transference plans, and display them graphically. Objects that can be compared include grey-scale images, point patterns, and mass vectors.

Author
Dominic Schuhmacher <dominic.schuhmacher@mathematik.uni-goettingen.de> with substantial contributions of code by Bjoern Baehre and Carsten Gottschlich
Date of publication
2016-02-25 00:28:54
Maintainer
Dominic Schuhmacher <dominic.schuhmacher@mathematik.uni-goettingen.de>
License
GPL (>= 2)
Version
0.7-3
URLs

View on CRAN

Man pages

aha
Solve Transportation Problem by Aurenhammer-Hoffmann-Aronov...
all.equal
Methods for Judging Near Equality of Objects of Class pgrid...
compatible
Test whether Two Objects are Compatible
methods
Print and Summary Methods for Objects of Class pgrid and pp
pgrid
Constructor for the pgrid Class
pgrid-object
Class of Pixel Grids
plot
Methods for Plotting Objects of Class pgrid or pp
power_diagram
Compute the Power Diagram of Weighted Sites in 2-Dimensional...
pp
Constructor for the pp Class
pp-object
Class of (Unweighted) Point Patterns
random
Images to Illustrate the Use of transport.pgrid
starting_solutions
Compute starting solution for the transportation problem
transport
Find Optimal Transference Plan (a.k.a. Optimal Transport Map)...
transport-internal
Internal Functions in Package 'transport'
transport-package
Optimal Transport in Various Forms
trcontrol
Set the Control Parameters Used by 'transport'.
wasserstein
Compute the Wasserstein Distance Between Two Objects

Files in this package

transport
transport/src
transport/src/revsimplex.c
transport/src/aha.c
transport/src/elements.h
transport/src/power_diagram.h
transport/src/primaldual.c
transport/src/auctionbf.c
transport/src/shortsimplex.c
transport/src/auction.c
transport/NAMESPACE
transport/NEWS
transport/data
transport/data/random32.rda
transport/data/random64.rda
transport/R
transport/R/lilhelpers.R
transport/R/aha.R
transport/R/fundament.R
transport/MD5
transport/DESCRIPTION
transport/man
transport/man/compatible.Rd
transport/man/trcontrol.Rd
transport/man/wasserstein.Rd
transport/man/pgrid.Rd
transport/man/all.equal.Rd
transport/man/starting_solutions.Rd
transport/man/transport-package.Rd
transport/man/transport-internal.Rd
transport/man/random.Rd
transport/man/transport.Rd
transport/man/pp-object.Rd
transport/man/power_diagram.Rd
transport/man/methods.Rd
transport/man/pp.Rd
transport/man/pgrid-object.Rd
transport/man/aha.Rd
transport/man/plot.Rd