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Titlebook: Bayesian Tensor Decomposition for Signal Processing and Machine Learning; Modeling, Tuning-Fre Lei Cheng,Zhongtao Chen,Yik-Chung Wu Book 20

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Takafumi Yamashita,Ryosuke Sagaithm for Bayesian tensor CPD with automatic rank determination. Numerical examples in synthetic and real-world data demonstrate the excellent performance of the algorithm, both in terms of computation time and accuracy.
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Yuichi Bannai,Takayuki Kosaka,Naomi Aiba development of Bayesian tensor CPD with nonnegative factors, with an integrated feature of automatic tensor rank learning. We will also connect the algorithm to the inexact block coordinate descent (BCD) to obtain a fast algorithm.
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ompositions.Moves through the topics in a well-structured, pThis book presents recent advances of Bayesian inference in structured tensor decompositions. It explains how Bayesian modeling and inference lead to tuning-free tensor decomposition algorithms, which achieve state-of-the-art performances i
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Transferring Tacit Skills of WADAIKO multi-dimensional data, showing the paramount role of tensors in modern signal processing and machine learning. Finally, we review the recent algorithms for tensor decompositions, and further analyze their common challenge in rank determination.
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Yuki Hayashi,Yuji Ogawa,Yukiko I. Nakanog models, including deep neural networks, Gaussian processes, and tensor decompositions. Then, we introduce the variational inference framework for algorithm development and discuss its tractability in different Bayesian models.
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