Advancements in optical coherence control^(1-5) have unlocked many cutting-edge applications, including long-haul communication, light detection and ranging (LiDAR) and optical coherence tomography^(6-8). Prevailing wisdom suggests that using more coherent light sources leads to enhanced system performance and device functionalities^(9-11). Our study introduces a photonic convolutional processing system that takes advantage of partially coherent light to boost computing parallelism …