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Nonlocal neural networks have been proposed and shown to be effective in several computer vision tasks, where the nonlocal operations can directly capture long-range dependencies in the feature space.
Generalized master equations for continuous-time random walks
Kenkre, VM, Montroll, EW, and Shlesinger, MF · 1973
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Elman, Jeffrey L · 1991
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Long-range dependence in variable-bit-rate video traffic
Beran, Jan, Sherman, Robert, Taqqu, Murad S, and Willinger, Walter · 1995
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Long-range dependence and data network traffic
Willinger, Walter, Paxson, Vern, Riedi, Rolf H, and Taqqu, Murad S · 2003
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A non-local algorithm for image denoising
Buades, Antoni, Coll, Bartomeu, and Morel, J-M · 2005
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Long range dependence in financial markets
Cont, Rama · 2005
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Diffusion maps
Coifman, Ronald R and Lafon, Stéphane · 2006
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Nonlocal linear image regularization and supervised segmentation
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Rectified linear units improve restricted boltzmann machines
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Deeply-supervised nets
Lee, Chen-Yu, Xie, Saining, Gallagher, Patrick, Zhang, Zhengyou, and Tu, Zhuowen · 2015
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Mathematical aspects of self-organized dynamics: consensus, emergence of leaders, and social hydrodynamics
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Identity mappings in deep residual networks
He, Kaiming, Zhang, Xiangyu, Ren, Shaoqing, and Sun, Jian · 2016
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Generalized local and nonlocal master equations for some stochastic processes
Zhao, Yanxiang, Wang, Jiakou, Ma, Yanping, and Du, Qiang · 2016
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Long-range dependence and self-similarity , volume 45
Pipiras, Vladas and Taqqu, Murad S · 2017
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Analysis and approximation of nonlocal diffusion problems with volume constraints
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Batch normalization: Accelerating deep network training by reducing internal covariate shift
Ioffe, Sergey and Szegedy, Christian · 2015
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A review of image denoising algorithms, with a new one
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A proposal on machine learning via dynamical systems
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Non-local neural networks
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