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Tensor-Based Foundations of Ordinary Least Squares and Neural Network Regression Models
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This article introduces a novel approach to the mathematical development of Ordinary Least Squares and Neural Network regression models, diverging from traditional methods in current Machine Learning literature. By leveraging Tensor Analysis and fundamental matrix computations, the theoretical foundations of both models are meticulously detailed and extended to their complete algorithmic forms. The study culminates in the presentation of three algorithms, including a streamlined version of the Backpropagation Algorithm for Neural Networks, illustrating the benefits of this new mathematical approach.
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Cited by 1 Pith paper
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High-Order Tensor Regression in Sparse Convolutional Neural Networks
A tensor-based reformulation of sparse CNNs and backpropagation is derived, but the key gradient formula is incorrect.
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