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Motion prediction based on eigen-gestures. In: Proc. of the 1st First Korea-Japan Joint Workshop on Pattern Recognition; 2006."},{"key":"pcbi.1007354.ref047","doi-asserted-by":"crossref","unstructured":"Ciocarlie MT, Goldfeder C, Allen PK. Dimensionality reduction for hand-independent dexterous robotic grasping. 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Neural Programmer-Interpreters. In: International Conference on Learning Representations (ICLR); 2016. Available from: http:\/\/arxiv.org\/pdf\/1511.06279v3."},{"issue":"S1","key":"pcbi.1007354.ref052","doi-asserted-by":"crossref","first-page":"S","DOI":"10.1089\/zeb.2015.1198","article-title":"Toward an integrated zebrafish health management program supporting cancer and neuroscience research","volume":"13","author":"S Martins","year":"2016","journal-title":"Zebrafish"},{"key":"pcbi.1007354.ref053","volume-title":"Deep learning with python","author":"F Chollet","year":"2017"},{"key":"pcbi.1007354.ref054","unstructured":"Abadi M, Barham P, Chen J, Chen Z, Davis A, Dean J, et al. Tensorflow: a system for large-scale machine learning. 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