New PDF release: Algebraic and Computational Aspects of Real Tensor Ranks

By Toshio Sakata,Toshio Sumi,Mitsuhiro Miyazaki

This ebook offers complete summaries of theoretical (algebraic) and computational facets of tensor ranks, maximal ranks, and general ranks, over the genuine quantity box. even supposing tensor ranks were usually argued within the advanced quantity box, it's going to be emphasised that this e-book treats actual tensor ranks, that have direct purposes in information. The booklet offers a number of attention-grabbing rules, together with determinant polynomials, determinantal beliefs, totally nonsingular tensors, totally complete column rank tensors, and their connection to bilinear maps and Hurwitz-Radon numbers. as well as studies of the way to be certain actual tensor ranks in info, worldwide theories equivalent to the Jacobian approach also are reviewed in information. The publication comprises besides an available and finished creation of mathematical backgrounds, with fundamentals of confident polynomials and calculations through the use of the Groebner foundation. moreover, this publication presents insights into numerical equipment of discovering tensor ranks via simultaneous singular price decompositions.

Show description

Read Online or Download Algebraic and Computational Aspects of Real Tensor Ranks (SpringerBriefs in Statistics) PDF

Similar mathematical & statistical books

Adrian B. Biran's What Every Engineer Should Know about MATLAB® and Simulink® PDF

MATLAB® can be utilized to execute many mathematical and engineering calculations, in addition to a hand held computing device can—if now not larger. in addition, like many different desktop languages, it might practice initiatives hand held desktop can't. in comparison to different laptop languages, MATLAB presents many integrated services that make studying more straightforward and decrease prototyping time.

Download e-book for kindle: Strategic Analytics and SAS: Using Aggregate Data to Drive by Randall S. Collica

Use mixture information to reply to high-level enterprise questions! info miners, information scientists, analytic managers, and analysts who paintings in all industries will locate the insights in Randy Collica's Strategic Analytics and SAS: utilizing combination facts to force Organizational tasks priceless of their paintings.

Download e-book for kindle: Data Wrangling with R (Use R!) by Ph.D. Bradley C. Boehmke

This advisor for training statisticians, information scientists, and R clients and programmers will train the necessities of preprocessing: information leveraging the R programming language to simply and fast flip noisy facts into usable items of knowledge. information wrangling, that is additionally generally known as facts munging, transformation, manipulation, janitor paintings, and so forth.

Download e-book for kindle: Computer Analysis of Images and Patterns: 17th International by Michael Felsberg,Anders Heyden,Norbert Krüger

The 2 quantity set LNCS 10424 and 10425 constitutes the refereed complaints of the seventeenth foreign convention on computing device research of pictures and styles, CAIP 2017, held in Ystad, Sweden, in August 2017. The seventy two papers provided have been conscientiously reviewed and chosen from one hundred forty four submissions The papers are geared up within the following topical sections: imaginative and prescient for Robotics; movement and monitoring; Segmentation; Image/Video Indexing and Retrieval; form illustration and research; Biomedical photograph research; Biometrics; computer studying; photograph recovery; and Poster periods.

Extra resources for Algebraic and Computational Aspects of Real Tensor Ranks (SpringerBriefs in Statistics)

Sample text

Download PDF sample

Algebraic and Computational Aspects of Real Tensor Ranks (SpringerBriefs in Statistics) by Toshio Sakata,Toshio Sumi,Mitsuhiro Miyazaki

by Michael

Rated 4.67 of 5 – based on 45 votes