Examples herein relate to a solid state drive that includes a media, a processing system, and a media command arbiter configured to permit execution of a specific allocation of storage and compute commands based on a configuration, wherein the media command arbiter is to transfer commands to the media based on the configuration. The media can be locally connected to a compute engine processing system that is configurable to perform computations on data stored in the media. The configuration can indicate a number of compute commands and storage commands that are permitted to be performed over a period of time or media bandwidth allocated to compute commands and storage commands. The processing system can include an inference engine that performs one or more of: data pattern recognition, image recognition, augmented reality overlay applications, face recognition, object recognition, or voice recognition, language translation.