Coordinate Free Representation of the Hierarchically Symmetric Tensor of Rank 4 in Determination of Symmetry
Title | Coordinate Free Representation of the Hierarchically Symmetric Tensor of Rank 4 in Determination of Symmetry PDF eBook |
Author | Reidar Baerheim |
Publisher | Faculteit Aardwetenschappen Universiteit Utrecht |
Total Pages | 174 |
Release | 1998 |
Genre | Mathematics |
ISBN |
Cumulated Index to the Books
Title | Cumulated Index to the Books PDF eBook |
Author | |
Publisher | |
Total Pages | 1124 |
Release | 1999 |
Genre | American literature |
ISBN |
Geologica Ultraiectina
Title | Geologica Ultraiectina PDF eBook |
Author | |
Publisher | |
Total Pages | 546 |
Release | 1957 |
Genre | Geology |
ISBN |
The Cumulative Book Index
Title | The Cumulative Book Index PDF eBook |
Author | |
Publisher | |
Total Pages | 2520 |
Release | 1999 |
Genre | American literature |
ISBN |
Tensor Methods in Statistics
Title | Tensor Methods in Statistics PDF eBook |
Author | Peter McCullagh |
Publisher | Courier Dover Publications |
Total Pages | 308 |
Release | 2018-07-18 |
Genre | Mathematics |
ISBN | 0486832694 |
A pioneering monograph on tensor methods applied to distributional problems arising in statistics, this work begins with the study of multivariate moments and cumulants. An invaluable reference for graduate students and professional statisticians. 1987 edition.
Nonnegative Matrix and Tensor Factorizations
Title | Nonnegative Matrix and Tensor Factorizations PDF eBook |
Author | Andrzej Cichocki |
Publisher | John Wiley & Sons |
Total Pages | 500 |
Release | 2009-07-10 |
Genre | Science |
ISBN | 9780470747285 |
This book provides a broad survey of models and efficient algorithms for Nonnegative Matrix Factorization (NMF). This includes NMF’s various extensions and modifications, especially Nonnegative Tensor Factorizations (NTF) and Nonnegative Tucker Decompositions (NTD). NMF/NTF and their extensions are increasingly used as tools in signal and image processing, and data analysis, having garnered interest due to their capability to provide new insights and relevant information about the complex latent relationships in experimental data sets. It is suggested that NMF can provide meaningful components with physical interpretations; for example, in bioinformatics, NMF and its extensions have been successfully applied to gene expression, sequence analysis, the functional characterization of genes, clustering and text mining. As such, the authors focus on the algorithms that are most useful in practice, looking at the fastest, most robust, and suitable for large-scale models. Key features: Acts as a single source reference guide to NMF, collating information that is widely dispersed in current literature, including the authors’ own recently developed techniques in the subject area. Uses generalized cost functions such as Bregman, Alpha and Beta divergences, to present practical implementations of several types of robust algorithms, in particular Multiplicative, Alternating Least Squares, Projected Gradient and Quasi Newton algorithms. Provides a comparative analysis of the different methods in order to identify approximation error and complexity. Includes pseudo codes and optimized MATLAB source codes for almost all algorithms presented in the book. The increasing interest in nonnegative matrix and tensor factorizations, as well as decompositions and sparse representation of data, will ensure that this book is essential reading for engineers, scientists, researchers, industry practitioners and graduate students across signal and image processing; neuroscience; data mining and data analysis; computer science; bioinformatics; speech processing; biomedical engineering; and multimedia.
Introduction to High Energy Physics
Title | Introduction to High Energy Physics PDF eBook |
Author | Donald H. Perkins |
Publisher | Cambridge University Press |
Total Pages | 454 |
Release | 2000-04-13 |
Genre | Science |
ISBN | 1139643371 |
This highly-regarded text provides a comprehensive introduction to modern particle physics. Extensively rewritten and updated, this 4th edition includes developments in elementary particle physics, as well as its connections with cosmology and astrophysics. As in previous editions, the balance between experiment and theory is continually emphasised. The stress is on the phenomenological approach and basic theoretical concepts rather than rigorous mathematical detail. Short descriptions are given of some of the key experiments in the field, and how they have influenced our thinking. Although most of the material is presented in the context of the Standard Model of quarks and leptons, the shortcomings of this model and new physics beyond its compass (such as supersymmetry, neutrino mass and oscillations, GUTs and superstrings) are also discussed. The text includes many problems and a detailed and annotated further reading list.