On the Fresnel sine integral and the convolution by Adem Kılıçman

“…The Fresnel sine integral S(x), the Fresnel cosine integral C(x), and the associated functions S+(x), S−(x), C+(x), and C−(x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel sine integral and its associated functions with x+r, xr are evaluated.…”
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Möbius convolutions and the Riemann hypothesis by Luis Báez-Duarte

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Notes on the Free Additive Convolution by Shokrya S. Alshqaq, Raouf Fakhfakh, Fatimah Alshahrani

Subjects: “…free additive convolution…”
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Inclusion results for convolution submethods by Jeffrey A. Osikiewicz, Mohammad K. Khan

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Convolutions with the Continuous Primitive Integral by Erik Talvila

“…Usual properties of convolutions are shown to hold: commutativity, associativity, commutation with translation. …”
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New convolutions for the Hartley integral transform imbedded in the Banach algebras and convolution-type integral equations by Tuan Nguyen Minh, Giang Bui Thi, Ha Quan Thai

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Multi-scale sparse convolution and point convolution adaptive fusion point cloud semantic segmentation method by Yuxuan Bi, Peng Liu, Tianyi Zhang, Jialin Shi, Caixia Wang

“…To address these issues, this paper proposes a novel approach based on adaptive fusion of multi-scale sparse convolution and point convolution. First, addressing the drawbacks of redundant feature extraction with existing sparse 3D convolutions, we introduce an asymmetric importance of space locations (IoSL) sparse 3D convolution module. …”
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A Cascade of Encoder–Decoder with Atrous Convolution and Ensemble Deep Convolutional Neural Networks for Tuberculosis Detection by Noppadol Maneerat, Athasart Narkthewan, Kazuhiko Hamamoto

Subjects: “…atrous convolution…”
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Note on the Numerical Solutions of the General Matrix Convolution Equations by Using the Iterative Methods and Box Convolution Product by Adem Kılıçman, Zeyad Al zhour

“…We define the so-called box convolution product and study their properties in order to present the approximate solutions for the general coupled matrix convolution equations by using iterative methods. …”
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Convolutions of Harmonic Functions with Certain Dilatations by Om P. Ahuja, Jay M. Jahangiri

“…The convolution of harmonic functions, unlike the analytic case, proved to be very challenging. …”
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A note on the convolution and the product in D′ and S′ by A. Kamiński, R. Rudnicki

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Analysis of scalar fields with series convolution by Emir Baysazan, Tolga Birkandan, İsmail Eyüphan Ünver

“…In the cases where such transformations are not available, the infinite series expansions of these functions can be convoluted with the power series solution ansatz. We study such an example where the solution is based on a special function.…”
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Rotation Invariance in Graph Convolutional Networks by Nguyen Anh Mac, Hung Son Nguyen

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Blind Identification of Convolutional Encoder Parameters by Shaojing Su, Jing Zhou, Zhiping Huang, Chunwu Liu, Yimeng Zhang

“…The only knowledge is that the stream is encoded using binary convolutional codes, while the coding parameters are unknown. …”
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Optimizing Convolutional Neural Network Architectures by Luis Balderas, Miguel Lastra, José M. Benítez

Subjects: “…convolutional neural network simplification…”
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Convolution on spaces of locally summable functions by Federica Andreano, Renato Grande

“…In this work we prove the existence of convolution on Marcinkiewicz spaces 𝔐p(ℝ), 1≤p<∞, and, using pointwise approximate identities, we extend the classical definition of Hilbert transform to such spaces.…”
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Directional Convexity of Convolutions of Harmonic Functions by Jay M. Jahangiri, Raj Kumar Garg

“…Harmonic functions can be constructed using two analytic functions acting as their analytic and coanalytic parts but the prediction of the behavior of convolution of harmonic functions, unlike the convolution of analytic functions, proved to be challenging. …”
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Convolutional coding for code multiplexing of channels by Rabin Alexey, Rabin Sergei, Ovchinnikov Andrey

“…This paper explores the application of convolutional codes and their extensions in the context of binary channel code division. …”
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Convolutional neural network for IT lung diagnostics by U. A. Vishniakou, T. He

“…The structure of a convolutional neural network (CNN), which was trained on a standard dataset of respiratory diseases, is given. …”
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On the <i>t</i>-Transformation of Free Convolution by Shokrya S. Alshqaq, Ohud A. Alqasem, Raouf Fakhfakh

Subjects: “…<i>t</i>-transformation of free convolution…”
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