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Cyclic Convolution Algorithm Formulations Using Polynomial Transform Theory
This work presents a mathematical framework for the development of efficient algorithms for cyclic convolution computations. The framework is based on the Chinese Reminder Theorem (CRT) and the Winograd’s Minimal Multiplicative Complexity Theorem, obtaining a set of formulations that simplify cyclic convolution (CC) computations.
Abraham H. Diaz-Perez, Domingo Rodriguez
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Exploiting Cyclic Symmetry in Convolutional Neural Networks
Many classes of images exhibit rotational symmetry. Convolutional neural networks are sometimes trained using data augmentation to exploit this, but they are still required to learn the rotation equivariance properties from the data. Encoding these properties into the network architecture, as we are already used to doing for translation equivariance by
Dieleman, Sander +2 more
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IMPLEMENTATION OF CYCLIC CONVOLUTION BASED ON FNT
Cyclic convolution is also known as circular convolution. It is simpler to compute and produce less output samples compared to linear convolution. There are many architectures for calculating cyclic convolution of any two signals. Implementation using Fermat Number Transform (FNT) is one of them.
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Precodings using square-root decomposition, including Cholesky and G-To-Minus-Half (GTMH) precodings, are promising for eliminating the Faster-Than-Nyquist (FTN)-induced Intersymbol-Interference (ISI).
Yan Wang +4 more
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On non-stationary cyclic convolution and combination
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Channel Attention Networks for Image Translation
Existing image-to-image translation methods usually adopt an encoder-decoder structure to generate images. The encoder extracts the features of input images using a sequence of convolution layers until a bottleneck, and then, the intermediate features ...
Song Sun +4 more
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A Review Study of Prime Period Perfect Gaussian Integer Sequences
Prime period sequences can serve as the fundamental tool to construct arbitrary composite period sequences. This is a review study of the prime period perfect Gaussian integer sequence (PGIS).
Ho-Hsuan Chang +3 more
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The modern constitutive equations of the rheology of analeptic media and of the polarization in dielectric media are discussed in the time and frequency domains.
M. Caputo
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Honeycomb tessellations and canonical bases for permutohedral blades
This paper studies two families of piecewise constant functions which are determined by the $(n-2)$-skeleta of collections of honeycomb tessellations of $\mathbb{R}^{n-1}$ with standard permutohedra.
Early, Nick
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