Normal view MARC view ISBD view

Symmetry studies: an introduction to the analysis of structured data in applications

By: Viana, Marlos A.G.
Series: Cambridge Series in Statistical and Probabilistic Mathematics; 26. Publisher: Cambridge Cambridge University Press 2010Description: x, 235 p.ISBN: 0511755473; 9780511755477.Subject(s): Statistical and probabilistic mathematicsDDC classification: 519.5 Online resources: http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511755477 Summary: Experimental data can often be associated with or indexed by certain symmetrically interesting structures or sets of labels that appear, for example, in the study of short symbolic sequences in molecular biology, in preference or voting data, in (corneal) curvature data, and in studies of the handedness and entropy of symbolic sequences and elementary images. The symmetry studies introduced in this book describe the interplay among symmetry transformations that are characteristic of these sets of labels, their resulting classification, the algebraic decomposition of the data indexed by them, and the statistical analysis of the invariants induced by those decompositions. The overall purpose is to facilitate and guide the statistical study of the structured data from both a descriptive and inferential perspective. The text combines notions of algebra and statistics and develops a systematic methodology to better explore the many different data-analysis applications of symmetry.
List(s) this item appears in: VR_VSL e-Book collection
Tags from this library: No tags from this library for this title. Log in to add tags.
    average rating: 0.0 (0 votes)
Item type Current location Collection Call number Status Date due Barcode
Electronic Resources Vikram Sarabhai Library
Electronic Resources
Non-fiction 519.5 V4S9 (Browse shelf) Not for loan ER000499

Table of contents:

1 - Symmetry, Classification, and the Analysis of Structured Data
2 - Sorting the Labels: Group Actions and Orbits
3 - Connecting Symmetries and Data: Linear Representations
4 - Data Reduction and Inference: The Canonical Projections and Their Invariants
5 - Examples and Techniques
6 - Symmetry Studies of Short Symbolic Sequences
7 - Symmetry Studies of Curvature Data
8 - Symmetry Studies of Planar Chirality

Experimental data can often be associated with or indexed by certain symmetrically interesting structures or sets of labels that appear, for example, in the study of short symbolic sequences in molecular biology, in preference or voting data, in (corneal) curvature data, and in studies of the handedness and entropy of symbolic sequences and elementary images. The symmetry studies introduced in this book describe the interplay among symmetry transformations that are characteristic of these sets of labels, their resulting classification, the algebraic decomposition of the data indexed by them, and the statistical analysis of the invariants induced by those decompositions. The overall purpose is to facilitate and guide the statistical study of the structured data from both a descriptive and inferential perspective. The text combines notions of algebra and statistics and develops a systematic methodology to better explore the many different data-analysis applications of symmetry.

There are no comments for this item.

Log in to your account to post a comment.

Powered by Koha