liboptpy

Library with implementations of optimization methods in Python 3

Installing from source

• git clone https://github.com/amkatrutsa/liboptpy.git
• cd liboptpy
• python setup.py install

or

pip install git+https://github.com/amkatrutsa/liboptpy

Examples

1. Unconstrained smooth and non-smooth optimization
2. Comparison of projected gradient descent and Frank-Wolfe method

Available optimization methods

Unconstrained optimization problem

Smooth objective functon

1. Gradient descent
2. Nesterov accelerated gradient descent
3. Newton method and inexact (truncated) Newton method with CG as linear solver
4. Conjugate gradient method
   • for convex quadratic function
   • for non-quadratic function (Fletcher-Reeves method)
5. Barzilai-Borwein method

Non-smooth objective function

1. Subgradient method
2. Dual averaging method

Constrained optimization problem

1. Projected gradient method
2. Frank-Wolfe method
3. Primal barrier method

Available step size

1. Constant
2. Inverse number on iteration and scaled by gradient norm version
3. Inverse square root of number of iterationas and scaled by gradient norm version
4. Backtracking
   • Armijo rule
   • Wolfe rule
   • Strong Wolfe rule
   • Goldstein rule
5. Exact line search for quadratic function

Contributing

If you find any bugs, please fix them and send pull-request. If you want add some enhancement or something new, please open an issue for discussion.

To send pull-request, you should make the following steps

1. Fork this repository
2. Clone the forked repository
3. Add original repositore as remote one
4. Create a branch in your local repository with specific name for your changes, e.g. bugfix
5. Switch to this branch
6. Change something that you assume make this repository better
7. Commit your changes in the branch bugfix with a meaningful comment, e.g. Fix typo
8. Switch to the branch master
9. Pull new commits to the branch master from this repository, not forked one
10. Switch to branch bugfix
11. Make git rebase master to take all new commits from original repository to branch bugfix
12. Make push to your forked repository in new remote branch bugfix
13. Send pull-request from your remote branch bugfix to master branch of the original repository