This is an on-going effort for using quasimetrics to improve deep learning applications! Quasimetrics are asymmetrical distances that show up in our every day lives (e.g., walking on a hill), and are integral in decision making and task solving.
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torch-quasimetric: State-of-The-Art Quasimetric Models in PyTorch. Deep neural networks that are guaranteed to be quasimetrics. -
quaimetric-rl: Learning an environment's quasimetric geometry => Good goal-reaching agents.