Various embodiments describe data compression that implements vector quantization. A computer system generates a codebook for the vector quantization by iteratively clustering vectors representative of data that should be compressed. The iterative clustering uses geometric reasoning to avoid distance computations between vectors as appropriate, thereby reducing the latency associated with generating the codebook. Further, the system encodes the vectors based on the codebook. To do so, the computer system generates hashes of the vectors by applying locality sensitive hashing to these vectors. The hashes are compared and matched with hashes of codebook vectors. The computer system represents the vectors based on the matched codebook vectors.