Reliability assessment is mandatory to guarantee the correct behavior of Deep Neural Network (DNN) hardware accelerators in safety-critical applications. While fault injection stands out as a well-established, practical and robust method for reliability assessment, it is still a very time-consuming process. This paper contributes with three recipes for optimizing the efficiency of the reliability assessment: a) hybrid analytical and hierarchical FI-based reliability assessment for systolic-array-based DNN accelerators; b) mixing techniques for the reliability assessment of in-chip AI accelerators in GPUs; c) reliability assessment of DNN hardware accelerators through physical fault injection. The experimental results demonstrate the efficiency of the proposed methods applied to their target DNN HW accelerator platforms.