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D0膜膨胀到D2 sphere
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作者 蒋华 《西北大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第3期274-276,共3页
目的讨论dielectricbrane的一个简单的例子。方法从M理论出发来构造D0brane膨胀到D2sphere,并分析其在视界附近的性质,最终使其在fluxbrane中达到平衡。结果D0brane的确膨胀到D2sphere。结论用M理论处理这一问题是可以的。
关键词 D0 BRANE d2 sphere 紧化 T-对偶
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Extended DMPs Framework for Position and Decoupled Quaternion Learning and Generalization
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作者 Zhiwei Liao Fei Zhao +1 位作者 Gedong Jiang Xuesong Mei 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2022年第4期227-239,共13页
Dynamic movement primitives(DMPs)as a robust and efcient framework has been studied widely for robot learning from demonstration.Classical DMPs framework mainly focuses on the movement learning in Cartesian or joint s... Dynamic movement primitives(DMPs)as a robust and efcient framework has been studied widely for robot learning from demonstration.Classical DMPs framework mainly focuses on the movement learning in Cartesian or joint space,and can’t properly represent end-efector orientation.In this paper,we present an extended DMPs framework(EDMPs)both in Cartesian space and 2-Dimensional(2D)sphere manifold for Quaternion-based orientation learning and generalization.Gaussian mixture model and Gaussian mixture regression(GMM-GMR)are adopted as the initialization phase of EDMPs to handle multi-demonstrations and obtain their mean and covariance.Additionally,some evaluation indicators including reachability and similarity are defned to characterize the learning and generalization abilities of EDMPs.Finally,a real-world experiment was conducted with human demonstrations,the endpoint poses of human arm were recorded and successfully transferred from human to the robot.The experimental results show that the absolute errors of the Cartesian and Riemannian space skills are less than 3.5 mm and 1.0°,respectively.The Pearson’s correlation coefcients of the Cartesian and Riemannian space skills are mostly greater than 0.9.The developed EDMPs exhibits superior reachability and similarity for the multi-space skills’learning and generalization.This research proposes a fused framework with EDMPs and GMM-GMR which has sufcient capability to handle the multi-space skills in multi-demonstrations. 展开更多
关键词 Learning from demonstration Dynamic movement primitives 2D sphere manifold Gaussian mixture model Gaussian mixture regression Quaternion-based orientation
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