Embodiments detailed herein relate to reduction operations on a plurality of data element values. In one embodiment, a process comprises decoding circuitry to decode an instruction and execution circuitry to execute the decoded instruction. The instruction specifies a first input register containing a plurality of data element values, a first index register containing a plurality of indices, and an output register, where each index of the plurality of indices maps to one unique data element position of the first input register. The execution includes to identify data element values that are associated with one another based on the indices, perform one or more reduction operations on the associated data element values based on the identification, and store results of the one or more reduction operations in the output register.