Noise is one of the most challenging aspects of cellular nonlinear networks adversely affecting their functionality. Existing techniques to addressing the issues posed by noise are based on well-understood noise removal methods that have reached technical maturity and further have the disadvantage of limited success rates. A deeper understanding and modeling of noise dynamics and its origins are required for the efficient identification and resolution of problems in different network applications. The Stochastic template concept in this article can be beneficial in understanding and modeling noise dynamics in cellular nonlinear networks, which is critical for addressing challenges in network applications. In this paper, memristors functioning as synapses introduce noise into networks, and we conduct an initial investigation of a noisy network performing edge detection.