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Classification of periodic variable stars with novel cyclic-permutation invariant neural networks [PDF]
Monthly notices of the Royal Astronomical Society, 2021 We present Cyclic-Permutation Invariant Neural Networks, a novel class of neural networks (NNs) designed to be invariant to phase shifts of period-folded periodic sequences by means of ‘symmetry padding’.
Keming Zhang, J. S. Bloom
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Graphical cyclic permutation groups [PDF]
Discrete Mathematics, 2014 We establish conditions for a permutation group generated by a single permutation of a prime power order to be an automorphism group of a graph or an edge-colored graph. This corrects and generalizes the results of the two papers on cyclic permutation groups published in 1978 and 1981 by S. P. Mohanty, M. R. Sridharan, and S. K. Shukla.
Mariusz Grech
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A remark about the anomalies of cyclic holomorphic permutation orbifolds [PDF]
International Journal of Mathematics, 2020 Using a result of Longo and Xu, we show that the anomaly arising from a cyclic permutation orbifold of order 3 of a holomorphic conformal net [Formula: see text] with central charge [Formula: see text] depends on the “gravitational anomaly” [Formula: see
Marcel Bischoff
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MixCycle: Unsupervised Speech Separation via Cyclic Mixture Permutation Invariant Training [PDF]
IEEE Signal Processing Letters, 2022 We introduce two unsupervised source separation methods, which involve self-supervised training from single-channel two-source speech mixtures. Our first method, mixture permutation invariant training (MixPIT), enables learning a neural network model ...
Ertuğ Karamatlı, Serap Kırbız
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Minimal faithful quasi-permutation representation degree of p-groups with cyclic center [PDF]
Proceedings - Mathematical Sciences, 2023 For a finite group G , we denote by $$\mu (G)$$ μ ( G ) and c ( G ), the minimal degree of faithful permutation representation of G , and the minimal degree of faithful representation of G by quasi-permutation matrices over the complex field $$\mathbb {C}
S. K. Prajapati, Ayush Udeep
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The crossing numbers of join products of paths with three graphs of order five [PDF]
Opuscula Mathematica, 2022 The main aim of this paper is to give the crossing number of the join product \(G^\ast+P_n\) for the disconnected graph \(G^\ast\) of order five consisting of the complete graph \(K_4\) and one isolated vertex, where \(P_n\) is the path on \(n\) vertices.
Michal Staš, Mária Švecová
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Deep Incomplete Multi-view Learning via Cyclic Permutation of VAEs [PDF]
International Conference on Learning RepresentationsMulti-View Representation Learning (MVRL) aims to derive a unified representation from multi-view data by leveraging shared and complementary information across views.
Xin Gao, Jian Pu
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IEEE Transactions on Industrial Informatics, 2023 Intelligent fault detection of rotating machines is essentially a pattern classification issue. At the same time, effectively obtaining fault features from the measured signals is a key step to timely diagnose the health status of rotating machinery and ...
Junchao Guo, Qingbo He, D. Zhen, F. Gu
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Application of a permutation group on sasirangan pattern
Desimal, 2021 A permutation group is a group of all permutations of some set. If the set that forms a permutation group is the n-first of natural number, then a permutation group is called a symmetry group.
Na'imah Hijriati +3 more
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On the crossing numbers of join products of W_{4}+P_{n} and W_{4}+C_{n} [PDF]
Opuscula Mathematica, 2021 The crossing number \(\mathrm{cr}(G)\) of a graph \(G\) is the minimum number of edge crossings over all drawings of \(G\) in the plane. The main aim of the paper is to give the crossing number of the join product \(W_4+P_n\) and \(W_4+C_n\) for the ...
Michal Staš, Juraj Valiska
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