2017
DOI: 10.7566/jpsj.86.024005
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Singular-Value-Decomposition Analysis of Associative Memory in a Neural Network

Abstract: We evaluate performance of associative memory in a neural network by based on the singular value decomposition (SVD) of image data stored in the network. We consider the situation in which the original image and its highly coarse-grained one by SVD are stored in the network and the intermediate one is taken as an input. We find that the performance is characterized by the snapshot-entropy scaling inherent in the SVD: the network retrieves the original image when the entropy of the input image is larger than th… Show more

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Cited by 7 publications
(4 citation statements)
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“…This method can deal better with light changes and subtle movements in the scene, such as water waves and branches swinging, but it requires a large number of images without moving objects to train the model. A key pose extraction system for weightlifting video was designed by literature [ 24 ]. A display module and a key frame extraction module are included in the system.…”
Section: Related Workmentioning
confidence: 99%
“…This method can deal better with light changes and subtle movements in the scene, such as water waves and branches swinging, but it requires a large number of images without moving objects to train the model. A key pose extraction system for weightlifting video was designed by literature [ 24 ]. A display module and a key frame extraction module are included in the system.…”
Section: Related Workmentioning
confidence: 99%
“…Information of the weight matrix W can be inferred by using the method of the singular value decomposition (See, e.g., [26,27]). Suppose that the matrix W W T has eigenvalues λ a Figure 13: Averaged values of the off-diagonal components of W W T (normalized by the diagonal components).…”
Section: Magnetization and Singular Value Decomposition (Svd)mentioning
confidence: 99%
“…Reference [14] put forward the idea of block histogram. Reference [15] uses the Canny operator to detect the edge of each frame of the image, then calculates the in-and-out degree of the edge pixels of the image to get the edge change rate, and uses the edge change rate to detect the shot boundary [16]. By detecting the edge features of candidate shot boundaries, the false detection of shot boundaries caused by flash can be avoided and the calculation time can not be greatly increased.…”
Section: Related Workmentioning
confidence: 99%