Results 21 to 30 of about 1,582,878 (315)
Eisenstein series and convolution sums [PDF]
The Ramanujan Journal, 2018 We compute Fourier series expansions of weight $2$ and weight $4$ Eisenstein series at various cusps. Then we use results of these computations to give formulas for the convolution sums $ \sum_{a+p b=n} (a) (b)$, $ \sum_{p_1a+p_2 b=n} (a) (b)$ and $ \sum_{a+p_1 p_2 b=n} (a) (b)$ where $p, p_1, p_2$ are primes.
openaire +4 more sources
Spiking row-by-row FPGA Multi-kernel and Multi-layer Convolution Processor. [PDF]
, 2019 Spiking convolutional neural networks have become a novel approach for machine vision tasks, due to the latency to process an input stimulus from a scene, and the low power consumption of these kind of solutions.
Domínguez Morales, Juan Pedro +4 more
core +1 more source
DTS-SNN: Spiking Neural Networks With Dynamic Time-Surfaces
IEEE Access, 2022 Convolution helps spiking neural networks (SNNs) capture the spatio-temporal structures of neuromorphic (event) data as evident in the convolution-based SNNs (C-SNNs) with the state-of-the-art classification-accuracies on various datasets.
Donghyung Yoo, Doo Seok Jeong
doaj +1 more source
Continuous-time statistics and generalized relaxation equations [PDF]
, 1995 Using two simple examples, the continuous-time random walk as well as a two state Markov chain, the relation between generalized anomalous relaxation equations and semi-Markov processes is illustrated.
Scalas, Enrico
core +3 more sources
Bilinear Graph Neural Network with Neighbor Interactions
, 2020 Graph Neural Network (GNN) is a powerful model to learn representations and make predictions on graph data. Existing efforts on GNN have largely defined the graph convolution as a weighted sum of the features of the connected nodes to form the ...
Feng, Fuli +6 more
core +1 more source
Orthonormal and biorthonormal filter banks as convolvers, and convolutional coding gain [PDF]
, 1993 Convolution theorems for filter bank transformers are introduced. Both uniform and nonuniform decimation ratios are considered, and orthonormal as well as biorthonormal cases are addressed.
Vaidyanathan, P. P.
core +2 more sources
On double shifted convolution sum of SL(2,Z) Hecke eigenforms
Journal of Number Theory, 2018 Let λ i ( n ) , i = 1 , 2 , 3 , denote the normalized Fourier coefficients of a holomorphic eigenform or Maass cusp form. In this paper we shall consider the sum: S : = 1 H ∑ H ≤ h ≤ 2 H V ( h H ) × ∑ N ≤ n ≤ 2 N λ 1 ( n ) λ 2 ( n + h ) λ 3 ( n + 2 h ) W
S. Singh
semanticscholar +1 more source
On the solution of the convolution equation with a sum-difference kernel
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 The paper deals with the integral equations of the second kind with a sumdifference kernel. These equations describe a series of physical processes in a medium with a reflective boundary.
Ani G Barseghyan
doaj +1 more source
Fusion of Panchromatic and Multispectral Images Using Multiscale Convolution Sparse Decomposition
IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2021 In this article, we proposed a novel image fusion method based on multiscale convolution sparse decomposition (MCSD). A unified framework based on MCSD is first utilized to decompose panchromatic (PAN) image and the spatial component of upsampled low ...
Kai Zhang +4 more
doaj +1 more source
QCD Rescattering and High Energy Two-Body Photodisintegration of the Deuteron [PDF]
, 1999 Photon absorption by a quark in one nucleon followed by its high momentum transfer interaction with a quark in the other may produce two final-state nucleons with high relative momentum.
A. E. Dieperink +27 more
core +4 more sources