affineinvariantolfw

Code for the paper Accelerated Affine-Invariant Vonvergence Rates of the Frank-Wolfe Algorithm with Open-Loop Step-Sizes

https://github.com/zib-iol/affineinvariantolfw

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    Links to: arxiv.org
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Keywords

frank-wolfe
Last synced: 6 months ago · JSON representation ·

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Code for the paper Accelerated Affine-Invariant Vonvergence Rates of the Frank-Wolfe Algorithm with Open-Loop Step-Sizes

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frank-wolfe
Created over 2 years ago · Last pushed over 1 year ago
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Readme License Citation

README.md

Accelerated Affine-Invariant Convergence Rates of the Frank-Wolfe Algorithm with Open-Loop Step-Sizes

References

Code for the paper:

Wirth, E., Pena, J., and Pokutta, S. (2023b). Accelerated affine-invariant convergence rates of the Frank-Wolfe algorithm with open-loop step-sizes. arXiv preprint arXiv:2310.04096.

This project is an extension of the previously published Git repository openloopfw, which contains the code to the following paper:

Wirth, E., Pokutta, S., and Kerdreux, T. (2023). Acceleration of Frank-Wolfe Algorithms with Open-Loop Step-Sizes. In Proceedings of AISTATS.

Installation guide

Download the repository and store it in your preferred location, say ~/tmp.

Open your terminal and navigate to ~/tmp.

Run the command: shell script $ conda env create --file environment.yml

This will create the conda environment affineinvariantopenloopfw.

Activate the conda environment with: shell script $ conda activate affine_invariant_open_loop_fw Navigate to ~/tmp

To perform the experiments in the paper:

```python3 script

python3 -m experiments.ablationstudyl python3 script python3 -m experiments.collaborativefiltering python3 script python3 -m experiments.gapsgrowth python3 script python3 -m experiments.logisticregression python3 script python3 -m experiments.polytopelsol python3 script python3 -m experiments.polytope python3 script python3 -m experiments.regression python3 script python3 -m experiments.stronggrowth python3 script python3 -m experiments.weakboundarygrowth ```

The experiments are then stored in ~/tmp/experiments/figures.

Some referees were interested in seeing the effects of higher dimensions on the experiments. No surprises occurred. For completeness, the additional experiments can be run in the same way as the experiments for the main paper: ```python3 script

python3 -m experiments.refereeablationstudyl python3 script python3 -m experiments.refereepolytopelsol ```

Owner

  • Name: IOL Lab
  • Login: ZIB-IOL
  • Kind: organization
  • Location: Germany

Working on optimization and learning at the intersection of mathematics and computer science

Citation (CITATIONS.bib)

@article{wirth2023accelerated,
      title={Accelerated Affine-Invariant Convergence Rates of the {F}rank-{W}olfe Algorithm with Open-Loop Step-Sizes}, 
      author={Elias Wirth and Javier Pena and Sebastian Pokutta},
      journal={arXiv preprint arXiv:2310.04096},
      year={2023}
}

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Dependencies

environment.yml conda
  • _libgcc_mutex 0.1
  • argon2-cffi 20.1.0
  • async_generator 1.10
  • attrs 21.2.0
  • autograd 1.3
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  • blas 1.0
  • bleach 4.0.0
  • bottleneck 1.3.2
  • ca-certificates 2023.01.10
  • certifi 2022.12.7
  • cffi 1.14.6
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  • dbus 1.13.18
  • decorator 5.0.9
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  • future 0.18.2
  • glib 2.68.1
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  • gstreamer 1.14.0
  • icu 58.2
  • importlib-metadata 3.10.0
  • importlib_metadata 3.10.0
  • intel-openmp 2021.2.0
  • ipykernel 5.3.4
  • ipython 7.24.0
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  • ipywidgets 7.6.3
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  • mkl 2021.2.0
  • mkl-service 2.3.0
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  • numpy 1.20.1
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  • packaging 21.0
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