It takes the average reader 4 hours and 3 minutes to read Tensor Networks for Dimensionality Reduction and Large-scale Optimization Part 2 by Andrzej Cichocki
Assuming a reading speed of 250 words per minute. Learn more
Part 2 of this monograph builds on the introduction to tensor networks and their operations presented in Part 1. It focuses on tensor network models for super-compressed higher-order representation of data/parameters and related cost functions, while providing an outline of their applications in machine learning and data analytics. A particular emphasis is on the tensor train (TT) and Hierarchical Tucker (HT) decompositions, and their physically meaningful interpretations which reflect the scalability of the tensor network approach. Through a graphical approach, we also elucidate how, by virtue of the underlying low-rank tensor approximations and sophisticated contractions of core tensors, tensor networks have the ability to perform distributed computations on otherwise prohibitively large volumes of data/parameters, thereby alleviating or even eliminating the curse of dimensionality. The usefulness of this concept is illustrated over a number of applied areas, including generalized regression and classification (support tensor machines, canonical correlation analysis, higher order partial least squares), generalized eigenvalue decomposition, Riemannian optimization, and in the optimization of deep neural networks. Part 1 and Part 2 of this work can be used either as stand-alone separate texts, or indeed as a conjoint comprehensive review of the exciting field of low-rank tensor networks and tensor decompositions.
Tensor Networks for Dimensionality Reduction and Large-scale Optimization Part 2 by Andrzej Cichocki is 242 pages long, and a total of 60,984 words.
This makes it 82% the length of the average book. It also has 75% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 5 hours and 33 minutes to read Tensor Networks for Dimensionality Reduction and Large-scale Optimization Part 2 aloud.
Tensor Networks for Dimensionality Reduction and Large-scale Optimization Part 2 is suitable for students ages 12 and up.
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