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Semi-Tensor-Product Based Convolutional Neural Networks (2506.10407v1)
Published 12 Jun 2025 in eess.SY, cs.AI, cs.CV, and cs.SY
Abstract: The semi-tensor product (STP) of vectors is a generalization of conventional inner product of vectors, which allows the factor vectors to of different dimensions. This paper proposes a domain-based convolutional product (CP). Combining domain-based CP with STP of vectors, a new CP is proposed. Since there is no zero or any other padding, it can avoid the junk information caused by padding. Using it, the STP-based convolutional neural network (CNN) is developed. Its application to image and third order signal identifications is considered.