1. A method comprising: applying, using processing circuitry including a processor and memory, an approximate message passing (AMP) conversion framework to a plurality of substantially linear measurements to produce a plurality of scalar measurements; applying, using the processing circuitry, a denoiser algorithm to the plurality of scalar measurements to generate a plurality of denoised scalar measurements; and applying, using the processing circuitry, a conversion term to the plurality of denoised scalar measurements to convert the plurality of denoised scalar measurements to a plurality of denoised substantially linear measurements.