This extended editorial provides an introduction into stochastic computing (SC) and its usage in emerging neuromorphic applications. It covers SC primitives and the tradeoffs that occur when designing larger SC-based systems. The article shows how SC enables low-cost, low-power, and errortolerant hardware implementation of neural networks suitable for edge computing. It provides a brief survey about recent proposals in this domain and introduces the articles in this special issue.-Jörg Henkel, Karlsruhe Institute of Technology After decAdes of research on general-purpose computing, the main pathway of computer architecture research has recently shifted to domain-specific concepts. In their Turing lecture in 2018, Hennessy and Patterson [1] have called the transition to domain-specific languages and architectures a "golden age for computer architects." Neuromorphic architectures have raised tremendous interest from researchers and industrial users. We can distinguish two main trends: specialized neural network (NN) processors with size and throughput