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Faculty of Informatics - Papers (Archive)

2005

Least squares approximations

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Full-Text Articles in Physical Sciences and Mathematics

Mmse-Optimal Approximation Of Continuous-Phase Modulated Signal As Superposition Of Linearly Modulated Pulses, Xiaojing Huang, Y. Li Jul 2005

Mmse-Optimal Approximation Of Continuous-Phase Modulated Signal As Superposition Of Linearly Modulated Pulses, Xiaojing Huang, Y. Li

Faculty of Informatics - Papers (Archive)

The optimal linear modulation approximation of any M-ary continuous-phase modulated (CPM) signal under the minimum mean-square error (MMSE) criterion is presented in this paper. With the introduction of the MMSE signal component, an M-ary CPM signal is exactly represented as the superposition of a finite number of MMSE incremental pulses, resulting in the novel switched linear modulation CPM signal models. Then, the MMSE incremental pulse is further decomposed into a finite number of MMSE pulse-amplitude modulated (PAM) pulses, so that an M-ary CPM signal is alternatively expressed as the superposition of a finite number of MMSE PAM components, similar to …


Efficient Training Algorithms For A Class Of Shunting Inhibitory Convolutional Neural Networks, Fok Hing Chi Tivive, Abdesselam Bouzerdoum May 2005

Efficient Training Algorithms For A Class Of Shunting Inhibitory Convolutional Neural Networks, Fok Hing Chi Tivive, Abdesselam Bouzerdoum

Faculty of Informatics - Papers (Archive)

This article presents some efficient training algorithms, based on first-order, second-order, and conjugate gradient optimization methods, for a class of convolutional neural networks (CoNNs), known as shunting inhibitory convolution neural networks. Furthermore, a new hybrid method is proposed, which is derived from the principles of Quickprop, Rprop, SuperSAB, and least squares (LS). Experimental results show that the new hybrid method can perform as well as the Levenberg-Marquardt (LM) algorithm, but at a much lower computational cost and less memory storage. For comparison sake, the visual pattern recognition task of face/nonface discrimination is chosen as a classification problem to evaluate the …