[BickNowstrom]

If you desire something more one-way, consider PCA, random projections, feature expansions (with something like Random Bits Regression), hashing, or the last hidden layer activations of your best in-house neural net. Then combine these approaches for good measure.

Agreed on the clever marketing, but at least they put their money (expensive dataset) where their mouth is (release it to reverse engineers the world over).

Fully Homomorphic Encryption challenges would be interesting, but it would disqualify our current state-of-the-art algorithms, and reduce the playing field to a handful of people who know how to write algo's that work with Fully Homomorphic Encryption (if any competitor at all is allowed to work on this, and not too busy working for the NSA).