Results 21 to 30 of about 15,461 (264)
Generalized punctured convolutional codes [PDF]
IEEE Communications Letters, 2005 This letter introduces the class of generalized punctured convolutional codes (GPCCs), which is broader than and encompasses the class of the standard punctured convolutional codes (PCCs). A code in this class can be represented by a trellis module, the GPCC trellis module, whose topology resembles that of the minimal trellis module.
Bartolomeu F. Uchôa Filho +3 more
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Combining Transformer Generators with Convolutional Discriminators [PDF]
, 2021 Transformer models have recently attracted much interest from computer vision researchers and have since been successfully employed for several problems traditionally addressed with convolutional neural networks. At the same time, image synthesis using generative adversarial networks (GANs) has drastically improved over the last few years. The recently
Ricard Durall +6 more
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Some Subclasses of Spirallike Multivalent Functions Associated with a Differential Operator
Mathematics, 2022 In this paper we study convolution properties of spirallike multivalent functions defined by using a differential operator and higher order derivatives. Using convolution product relations we determine necessary and sufficient conditions for multivalent ...
Ekram Elsayed Ali +3 more
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Generalized convolutions [PDF]
Russian Mathematical Surveys, 1964 Summary: This paper gives a review of the recent results on similarity and representability of generalized convolutions.
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Certain fundamental properties of generalized natural transform in generalized spaces
Advances in Difference Equations, 2021 This paper considers the definition and the properties of the generalized natural transform on sets of generalized functions. Convolution products, convolution theorems, and spaces of Boehmians are described in a form of auxiliary results.
Shrideh Khalaf Al-Omari, Serkan Araci
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International Journal of Mathematics and Mathematical Sciences, 2002 We use a generalized Brownian motion process to define the generalized Fourier-Feynman transform, the convolution product, and the first variation. We then examine the various relationships that exist among the first variation, the generalized Fourier ...
Seung Jun Chang, Jae Gil Choi
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Generalized Auto-Convolution Volterra Integral Equations: Numerical Treatments
Journal of Mathematics, 2022 In this paper, we use the operational Tau method based on orthogonal polynomials to achieve a numerical solution of generalized autoconvolution Volterra integral equations.
Mahdi Namazi Nezamabadi, Saeed Pishbin
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Fractal and Fractional, 2022 BSDEs are applied in many areas, particularly in finance and economics. In this paper, we extended the convolution method to numerically solve FBSDEs. First, a generalized θ-scheme is applied to discretize the backwards component. Second, the convolution
Kexin Fu +3 more
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Characterizations of L-additive functions via generalized arithmetic convolutions [PDF]
Notes on Number Theory and Discrete MathematicsThis paper investigates the properties of L-additive functions within the algebraic frameworks of two generalized arithmetic convolutions: the K-convolution and Narkiewicz's A-convolution.
Champak Talukdar +2 more
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SimNets: A Generalization of Convolutional Networks
CoRR, 2014 We present a deep layered architecture that generalizes classical convolutional neural networks (ConvNets). The architecture, called SimNets, is driven by two operators, one being a similarity function whose family contains the convolution operator used in ConvNets, and the other is a new soft max-min-mean operator called MEX that realizes classical ...
Nadav Cohen 0001, Amnon Shashua
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