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Optimized separable convolution: Yet another efficient convolution operator
AI Open, 2022 The convolution operation is the most critical component in recent surge of deep learning research. Conventional 2D convolution needs O(C2K2) parameters to represent, where C is the channel size and K is the kernel size.
Tao Wei +4 more
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High-efficiency sparse convolution operator for event-based cameras [PDF]
Frontiers in NeuroroboticsEvent-based cameras are bio-inspired vision sensors that mimic the sparse and asynchronous activation of the animal retina, offering advantages such as low latency and low computational load in various robotic applications.
Sen Zhang +8 more
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Inequalities for the fractional convolution operator on differential forms [PDF]
Journal of Inequalities and Applications, 2018 The purpose of this paper is to derive some Coifman type inequalities for the fractional convolution operator applied to differential forms. The Lipschitz norm and BMO norm estimates for this integral type operator acting on differential forms are also ...
Zhimin Dai, Huacan Li, Qunfang Li
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Integro-differential equations with bounded operators in Banach spaces [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper investigates integro-differential equations in Banach spaces with operators, which are a composition of convolution and differentiation operators.
V.E. Fedorov, A.D. Godova, B.T. Kien
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Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator
Fractal and Fractional, 2023 This article defines a new operator called the q-Babalola convolution operator by using quantum calculus and the convolution of normalized analytic functions in the open unit disk.
Isra Al-shbeil +2 more
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Convolution Product for Hilbert $C^*$-Module Valued Maps [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we introduce a convolution-type product for strongly integrable Hilbert $C^*$-module valued maps on locally compact groups. We investigate various properties of this product related to uniform continuity, boundless, etc.
Mawoussi Todjro, Yaogan Mensah
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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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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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On Differential Subordination and Superordination for Univalent Function Involving New Operator
Iraqi Journal for Computer Science and Mathematics, 2022 The goal of this paper is to investigate some of the features of differential subordination of analytic univalent functions in an open unit disc. In addition, it has shed light on geometric features such as coefficient inequality, Hadamard product ...
Mustafa I. Hameed +1 more
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DSConv: Efficient Convolution Operator [PDF]
2019 IEEE/CVF International Conference on Computer Vision (ICCV), 2019 Quantization is a popular way of increasing the speed and lowering the memory usage of Convolution Neural Networks (CNNs). When labelled training data is available, network weights and activations have successfully been quantized down to 1-bit. The same cannot be said about the scenario when labelled training data is not available, e.g. when quantizing
Nascimento, Marcelo Gennari Do +2 more
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