Results 1 to 10 of about 15,277 (165)
Product Convolution of Generalized Subexponential Distributions
Mathematics, 2023 Assume that ξ and η are two independent random variables with distribution functions Fξ and Fη, respectively. The distribution of a random variable ξη, denoted by Fξ⊗Fη, is called the product-convolution of Fξ and Fη.
Gustas Mikutavičius, Jonas Šiaulys
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On a Generalized Convolution Operator [PDF]
Symmetry, 2021 Recently in the paper [Mediterr. J. Math. 2016, 13, 1535–1553], the authors introduced and studied a new operator which was defined as a convolution of the three popular linear operators, namely the Sǎlǎgean operator, the Ruscheweyh operator and a fractional derivative operator.
Poonam Sharma +2 more
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A note on product-convolution for generalized subexponential distributions
Nonlinear Analysis, 2022 In this paper, we consider the stability property of the class of generalized subexponential distributions with respect to product-convolution. Assuming that the primary distribution is in the class of generalized subexponential distributions, we find ...
Dimitrios Konstantinides +2 more
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Generative convolution layer for image generation
Neural Networks, 2022 This paper introduces a novel convolution method, called generative convolution (GConv), which is simple yet effective for improving the generative adversarial network (GAN) performance. Unlike the standard convolution, GConv first selects useful kernels compatible with the given latent vector, and then linearly combines the selected kernels to make ...
Seung Park, Yong-Goo Shin
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Generalized Weights of Convolutional Codes
IEEE Transactions on Information Theory, 2023 In 1997 Rosenthal and York defined generalized Hamming weights for convolutional codes, by regarding a convolutional code as an infinite dimensional linear code endowed with the Hamming metric. In this paper, we propose a new definition of generalized weights of convolutional codes, that takes into account the underlying module structure of the code ...
Elisa Gorla, Flavio Salizzoni
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Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation
Advances in Mathematical Physics, 2022 In the presented paper, a generalized nonlinear Schrodinger equation without delay convolution kernel and with special delay convolution kernel is investigated.
Yuanhua Lin, Liping He
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Some Relationships for the Generalized Integral Transform on Function Space
Mathematics, 2020 In this paper, we recall a more generalized integral transform, a generalized convolution product and a generalized first variation on function space. The Gaussian process and the bounded linear operators on function space are used to define them.
Hyun Soo Chung
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Estimates of certain paraxial diffraction integral operator and its generalized properties
Advances in Difference Equations, 2020 This paper aims to discuss a generalization of certain paraxial diffraction integral operator in a class of generalized functions. At the start of this paper, we propose a convolution formula and establish certain convolution theorem.
Shrideh Al-Omari +4 more
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Generalized Quantum Convolution for Multidimensional Data
Entropy, 2023 The convolution operation plays a vital role in a wide range of critical algorithms across various domains, such as digital image processing, convolutional neural networks, and quantum machine learning.
Mingyoung Jeng +8 more
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The multiple interpolation de la Vallée Poussin problem
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 This article is concerned with the solving of multiple interpolation de La Vallée Poussin problem for generalized convolution operator. Particular ate tention is paid to the proving of the sequential sufficiency of the set of solutions of the generalized
Valentin V Napalkov, Aigul U Mullabaeva
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