In the early 2000s, due to constraints on economical heat dissipation, clock speeds of single-core CPUs could no longer be increased, which marked the adoption of multi-core CPUs, together with a paradigm shift to algorithms specifically designed for multi-core architectures. About 15 years into this current architectural cycle and on its way to exascale performance, the computing industry finds itself at the confluence of technical difficulties that cast doubt on its ability to sustain this architectural model beyond the exascale capability. These difficulties are driving the hardware industry to develop application-specific chips and to look beyond silicon- based chips (e.g., quantum computing, physical annealing, neuromorphics, etc.), with a continued emphasis on raw processing power and emerging concerns about energy efficiency. This minisymposium provides a forum for sharing innovative ideas on algorithm development for leveraging future computing platforms.