Abstract: Computational apparatus includes a systolic array of processing elements. In each of a sequence of processing cycles, the processing elements in a first row of the array each receive a respective first plurality of first operands, while the processing elements in a first column of the array each receive a respective second plurality of second operands. Each processing element, except in the first row and first column, receives the respective first and second pluralities of the operands from adjacent processing elements in a preceding row and column of the array. Each processing element multiplies pairs of the first and second operands together to generate multiple respective products, and accumulates the products in accumulators. Synchronization logic loads a succession of first and second vectors of the operands into the array, and upon completion of processing triggers the processing elements to transfer respective data values from the accumulators out of the array.

Abstract: Computational apparatus includes a memory, which is configured to contain multiple matrices of input data values. An array of processing elements is configured to perform multiplications of respective first and second input operands and to accumulate products of the multiplication to generate respective output values. Data access logic is configured to select from the memory a plurality of mutually-disjoint first matrices and a second matrix, and to distribute to the processing elements the input data values in a sequence that is interleaved among the first matrices, along with corresponding input data values from the second matrix, so as to cause the processing elements to compute, in the interleaved sequence, respective convolutions of each of the first matrices with the second matrix.

Abstract: Computational apparatus includes a memory, which contains first and second input matrices of input data values, having at least three dimensions including respective heights and widths in a predefined sampling space and a common depth in a feature dimension, orthogonal to the sampling space. An array of processing elements each perform a multiplication of respective first and second input operands and to accumulate products of the multiplication to generate a respective output value. Data access logic extracts first and second pluralities of vectors of the input data values extending in the feature dimension from the first and second input matrices, respectively, and distributes the input data values from the extracted vectors in sequence to the processing elements so as to cause the processing elements to compute a convolution of first and second two-dimensional matrices composed respectively of the first and second pluralities of vectors.