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Cyclic cocycles on twisted convolution algebras [PDF]
Communications in Mathematical Physics, 2011 We give a construction of cyclic cocycles on convolution algebras twisted by gerbes over discrete translation groupoids. For proper \'etale groupoids, Tu and Xu provide a map between the periodic cyclic cohomology of a gerbe-twisted convolution algebra ...
A. Gorokhovsky +10 more
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Dynamic graph convolutional networks with Temporal representation learning for traffic flow prediction [PDF]
Scientific ReportsIn the realm of traffic prediction, emerging are methodologies founded on graph convolutional networks. Nonetheless, existing approaches grapple with issues encompassing insufficient sharing patterns, dependence on static relationship presumptions, and ...
Aihua Zhang
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Cyclic and Convolutional Codes With Locality [PDF]
IEEE Transactions on Information Theory, 2021 An extended abstract of this work appears in Proceedings of the 2020 IEEE International Symposium on Information Theory (ISIT 2020)
Zitan Chen, Alexander Barg
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Моделирование и анализ информационных систем, 2023 The development of fast algorithms for key generation, encryption and decryption not only increases the efficiency of related operations. Such fast algorithms, for example, for asymmetric cryptosystems on quasi-cyclic codes, make it possible to ...
Andrey N. Sushko +4 more
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On Cyclic Convolutional Codes [PDF]
Acta Applicandae Mathematica, 2004 50 ...
Gluesing-Luerssen, Heide +1 more
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An Efficient Convolution Algorithm for the Non-Markovian Two-Node Cyclic Network
Journal of Applied Mathematics, 2021 Consider a closed cyclic queueing model that consists of two nodes and a total of M customers. Each node buffer can accommodate all M customers. Node 1 has N≤M servers, each having an exponential service time with rate λ.
Muhammad El-Taha, Thomas Michaud
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Research on far-field spot search and centre location algorithms
Frontiers in Physics, 2023 The energy distribution of the far-field spot is uneven, and the background is complex. Therefore, the identification of far-field points and the positioning of the centre are difficult.
Xiaohong Mi +3 more
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On Doubly-Cyclic Convolutional Codes [PDF]
Applicable Algebra in Engineering, Communication and Computing, 2006 Cyclicity of a convolutional code (CC) is relying on a nontrivial automorphism of the algebra F[x]/(x^n-1), where F is a finite field. If this automorphism itself has certain specific cyclicity properties one is lead to the class of doubly-cyclic CC's. Within this large class Reed-Solomon and BCH convolutional codes can be defined.
Gluesing-Luerssen, H, Schmale, W
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Fast restoration of a blurred image obtained by a horizontally rotating camera [PDF]
Компьютерная оптика, 2018 A problem of restoration of a blurred image obtained by a horizontally rotating camera is considered in this paper. The mathematical model of this problem is the convolution equation on a cyclic group.
Anatoly Kozak +2 more
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Multidimensional Quasi-Cyclic and Convolutional Codes [PDF]
IEEE Transactions on Information Theory, 2016 We introduce multidimensional analogues of quasi-cyclic (QC) codes and study their algebraic structure. We demonstrate a concatenated structure for multidimensional QC codes and use this to prove that this class of codes is asymptotically good. We also relate the new family of codes to convolutional codes.
Cem Guneri, Buket Ozkaya
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