Before revision:   Searching for the optimal mapping is challenging because of a massive space of possible data-layouts and loop transformations for the DNN layers.
After revision:  But, existing cost models lack a formal boundary over the operators for precise and tractable analysis, which poses adaptability challenges for new DNN operators. To address this challenge, we leverage the recently introduced Maestro Data-Centric (MDC) notation. We develop a formal understanding of DNN operators whose mappings can be described in the MDC notation, because any mapping adhering to the notation is always analyzable by the MDC's cost model. Furthermore, we introduce a transformation for translating mappings into the MDC notation for exploring the mapping space. Searching for the optimal mapping is challenging because of a massive space of possible data-layouts and loop transformations for the DNN layers.