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Trouble reproducing Stochastic FW benchmarks #100

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@busycalibrating

Hello!

I'm trying play around with the stochastic Frank-Wolfe benchmarks you have in this example and I'm having trouble reproducing the figure by running the provided example. The expected results are as follows:

image

However when I run the script out of the box, the first thing to note is that it takes a very long time; for 10 iters, these are the timing results:

CPU times: 
     user 16min 12s
     sys: 7min 29s
     total: 23min 42s
Wall time: 12min 25s

Perhaps this is fine seeing as ~10 steps should be sufficient (this would correspond to ~10^8 gradient evaluations which would match the figure in the example), but then the problem comes with the actual convergence results; if I set max_iter=500 (vs 1e4) and let it run for the full 2h x 3 runs, I get worse results:

image

In particular, after 10^8 gradient evaluations, the relative suboptimality

Some additional info that may be useful:

  • Python 3.7.6
  • SciPy 1.7.3
  • NumPy 1.21.6
  • Latest (development) version of COPT.

If useful, we can play around with the example in a colab notebook.

Thanks for any help!

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