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implicit_gemm_convolution.md

Implicit GEMM is the formulation of a convolution operation as a GEMM (generalized matrix-matrix product). Convolution takes an activation tensor and applies a sliding filter on it to produce an ...
IEEE

SMM-Conv: Scalar Matrix Multiplication with Zero Packing for Accelerated Convolution

Abstract: We present a novel approach for accelerating convolutions during inference for CPU-based architectures. The most common method of computation involves packing the image into the columns of a ...
IEEE

Constructive algorithms for determining inverses and syndrome matrices of multidimensional convolutional encoders using the Gröbner basis approach

Abstract: A representation of an m-D convolutional encoder is analogous to the representation of a transfer function for a MIMO m-D FIR system. The encoder matrix is usually not square and thus ...
JSTOR Daily

Cyclicity and Weak Convergence for Convolution of Measures on Non-negative Matrices

Let μ be a probability measure on Borel subsets of d × d non-negative matrices. Let S be the closed (multiplicative) semigroup generated by the support of μ, Sμ. Let the minimal rank of the matrices ...
Oak Ridge National Lab

Assessing the Feasibility of Bordered Block Diagonal Reordering in Power System Matrices using Fully Convolutional Network

In electromagnetic transient (EMT) simulations for power systems and inverter-based resources (IBRs), the arrangement of states within the system's linear equations, represented by matrix A in Ax=b, ...