The Google paper's hashing has, as best I can see, nothing to do with the Vowpal Wabbit's 'hashing trick.'
The VW hashing trick is about hashing your input data (ie: words, fields, etc.) into an array to lower storage requirements and deal with novel data at run time.
The google paper is about ordering the intermediate states of the neural network (ie: vectors) while preserving distance. This is done so you can chunk the resulting ordered list and perform computations on individual chunks (and their neighbors).
The only thing in common I see is the fact they both use the word hashing.
The VW hashing trick is about hashing your input data (ie: words, fields, etc.) into an array to lower storage requirements and deal with novel data at run time.
The google paper is about ordering the intermediate states of the neural network (ie: vectors) while preserving distance. This is done so you can chunk the resulting ordered list and perform computations on individual chunks (and their neighbors).
The only thing in common I see is the fact they both use the word hashing.