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Slicing / Wasserstein #7

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Matthijspals opened this issue Feb 2, 2024 · 1 comment
Open
8 tasks

Slicing / Wasserstein #7

Matthijspals opened this issue Feb 2, 2024 · 1 comment
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@Matthijspals
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  • Intuitive description, of what these metrics try to measure, and how, and for what they are used
  • Thorough description of the metric in supplementary
  • Common variants and hyper parameters choices
  • Scaling with dimensionality
  • Scaling with number of samples
  • Computational complexity
  • Induced geometry
  • Failure modes
@Matthijspals Matthijspals changed the title Team: Slicing / Wasserstein Slicing / Wasserstein Feb 2, 2024
@gmoss13 gmoss13 self-assigned this Feb 5, 2024
@gmoss13
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gmoss13 commented Feb 5, 2024

TODOs:

  • make a notebook +figure explaining slicing (@jsvetter)
  • compare behaviour of SWD and Sinkhorn approximation as dimensionality goes up when GT distance is known (@gmoss13 and comparisons team)
  • make a notebook + figure explaining Wasserstein Distance in 1D (@gmoss13)
  • (Optional) implement GSWD (@gmoss13) and make a notebook comparing with SWD
  • Consider examples where choice of p matters, and/or failure modes (@gmoss13)
  • Writing (@gmoss13 and @jsvetter)

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