Software Open Access
Christian Clason;
Stanislav Mazurenko;
Tuomo Valkonen
GPDPS
GPDPS
is a Julia package that provides the reference implementation of the generalized primal-dual proximal splitting approach described in the paper "Primal-dual proximal splitting and generalized conjugation in non-smooth non-convex optimization" by Christian Clason, Stanislav Mazurenko, and Tuomo Valkonen.
Usage
To use the provided test codes (compatible with Julia version 1.0-1.2, tested on macOS and Linux x86_64):
julia --project=.
(or with the relative path to the GPDPS.jl
directory from somewhere else)]instantiate
to download all dependencies (only required the first time, make sure you go back to standard Julia prompt with backspace afterwards)using Revise
so you can make changes in the code without having to restart Julia; if not install, start julia
(without --project
) and ]add Revise
)using GPDPS
To run the example for the elliptic Nash equilibrium problem:
test_enep(N)
, where N
controls the discretization (number of nodes per coordinate, default N=128
)To run the example for the Huber-Potts segmentation model:
do test_potts(alpha,gamma,keyword=value)
, where keyword
is one or more of the following (comma separated, order insensitive, may be removed before submission) with default value if omitted:
image
: test image; default is "blobs"
(size 256x254), other images in .tif
format can be specified by file name if placed in the img
folder
isotropic
: use isotropic (value true
, default) or anisotropic (value `false)` Potts model
maxit
: maximum number of iterations (default 500000)
If alpha
or gamma
are not specified, the default values 1
and 1e-3
are used.
Possible issues:
]add QuartzImageIO
if it is not included in the default environment.Development
This code can also be found at https://github.com/clason/GPDPS.jl
Reference
If you find this code useful, you can cite the paper as
@article{GPDPS,
author = {Clason, Christian and Mazurenko, Stanislav and Valkonen, Tuomo},
title = {Primal-dual proximal splitting and generalized conjugation in non-smooth non-convex optimization},
year = {2019},
eprinttype = {arxiv},
eprint = {1901.02746},
}
Name | Size | |
---|---|---|
GPDPS.jl.zip
md5:342f395473b7e0e3cf16d04ae7efff12 |
34.9 kB | Download |
All versions | This version | |
---|---|---|
Views | 68 | 68 |
Downloads | 3 | 3 |
Data volume | 104.6 kB | 104.6 kB |
Unique views | 56 | 56 |
Unique downloads | 3 | 3 |