Cross-Modal Discrete Hashing.

•We present a new cross-modal discrete hashing (CMDH) approach to learn compact binary codes for cross-modal scalable multimedia search. We develop a discrete optimization framework to jointly learn binary codes and a series of hash functions for each modality, so that the performance drop due to the inferior optimization techniques can be avoided.•We present two cross-modal hashing algorithms called CMDH-linear and CMDH-kernel under the proposed framework, which performs linear and non-linear mappings to learn binary codes.•Experimental results on three benchmark datasets clearly show that our methods achieve competitive results with the state-of-the-arts in cross-modal hashing.