Design of a High-Performance GEMM-like Tensor–Tensor Multiplication
Design of a High-Performance GEMM-like Tensor–Tensor Multiplication
We present “GEMM-like Tensor–Tensor multiplication” (GETT), a novel approach for dense tensor contractions that mirrors the design of a high-performance general matrix–matrix multiplication (GEMM). The critical insight behind GETT is the identification of three index sets, involved in the tensor contraction, which enable us to systematically reduce an arbitrary tensor …