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Learning Parameterized ODEs From Data
IEEE Access, 2023 In contemporary research, neural networks are being used to derive Ordinary Differential Equations (ODEs) from observations. However, parameterized ODEs pose a more significant challenge than non-parameterized ODEs since the networks are required to ...
Qing Li, Jiahui Geng
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Geometric Neural Ordinary Differential Equations: From Manifolds to Lie Groups [PDF]
EntropyNeural ordinary differential equations (neural ODEs) are a well-established tool for optimizing the parameters of dynamical systems, with applications in image classification, optimal control, and physics learning.
Yannik P. Wotte +2 more
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About the Chinese Book “The Book of Poetry”1 [PDF]
Гуманитарный вектор, 2021 “The Shi Jing”(“The Book of Poetry”) is one of the first poems in the world, including Chinese poems, from the 11th century BC to the 6th century BC. During this period, about 3 000 verses appeared, of which 305 poems were selected by Confucius.
Zhao Xiao-bing, Zhao Wenqing
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CoRR, 2020 We present a new paradigm for Neural ODE algorithms, called ODEtoODE, where time-dependent parameters of the main flow evolve according to a matrix flow on the orthogonal group O(d). This nested system of two flows, where the parameter-flow is constrained to lie on the compact manifold, provides stability and effectiveness of training and provably ...
Choromanski, Krzysztof +8 more
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A Lesser-Known Characteristic of Metaphorization in Khaghani’s poems [PDF]
Literary Arts, 2020 The subject of the present study is the metaphorical chain, a lesser-known characteristic of metaphorization in Khaghani's poetry. The purpose of this study is to better understand the ability of Khaghani odes, his specific techniques in metaphorization,
Sayyed Ahmad Parsa, Ataullah Awlyaee
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Studia Etnologiczne i Antropologiczne, 2021 "W tym wydaniu „Studiów Etnologicznych i Antropologicznych” zapraszamy przede wszystkim do refleksji nad wielowymiarową i transdycyplinarną kategorią nocy – jej rolą, statusem, rozumieniem czy perspektywami badawczymi i ramami teoretycznymi.[...] (fragm.)
Magdalena Szalbot, Maciej Kurcz
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Eulogy and its Goals in Abolqasem Qaem-Maqam Farahani’s Odes [PDF]
نثرپژوهی ادب فارسی, 2017 One of the sub-categories of literary genres is eulogy which has been criticized by some critics and poets for the use of exaggerated descriptions and contemptuous inquiries of some poets; However, it must be noted that with some poets, eulogy has had ...
Fatemeh Modarresi +2 more
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On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs
Applied General Topology, 2021 The aim of this work is two fold: first we extend some results concerning the computation of the fixed point index for the sum of an expansive mapping and a $k$-set contraction obtained in \cite{DjebaMeb, Svet-Meb}, to the case of the sum $T+F ...
Svetlin Georgiev Georgiev +1 more
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Репродуктивная эндокринология, 2021 Research objective: to study the possibilities of improving perinatal results by optimizing pergravid preparation in women with high perinatal risk. Materials and methods. The first stage – a cross-sectional study – consisted in determining the vitamin D
G.S. Manasova +2 more
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