Nonparametric inference on manifolds with applications to shape spaces / (Record no. 31442)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01579nam a22001577a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 180825b2012 xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781107484313 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519.5 BHA-A |
| 245 ## - TITLE STATEMENT | |
| Title | Nonparametric inference on manifolds with applications to shape spaces / |
| Statement of responsibility, etc. | Abhishek Bhattacharya and Rabi Bhattacharya |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | UK |
| Name of publisher, distributor, etc. | Cambridge University Press |
| Date of publication, distribution, etc. | 2012 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 237 P. |
| 365 ## - TRADE PRICE | |
| Price type code | GBP |
| Price amount | 27.99 |
| 500 ## - GENERAL NOTE | |
| General note | This book introduces in a systematic manner a general nonparametric theory of statistics on manifolds, with emphasis on manifolds of shapes. The theory has important and varied applications in medical diagnostics, image analysis, and machine vision. An early chapter of examples establishes the effectiveness of the new methods and demonstrates how they outperform their parametric counterparts. Inference is developed for both intrinsic and extrinsic Fréchet means of probability distributions on manifolds, then applied to shape spaces defined as orbits of landmarks under a Lie group of transformations - in particular, similarity, reflection similarity, affine and projective transformations. In addition, nonparametric Bayesian theory is adapted and extended to manifolds for the purposes of density estimation, regression and classification. Ideal for statisticians who analyze manifold data and wish to develop their own methodology, this book is also of interest to probabilists, mathematicians, computer scientists, and morphometricians with mathematical training. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Nonparametric statistics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Manifolds (Mathematics) |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| Withdrawn status | |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| Withdrawn status | |
| Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Shelving location | Date acquired | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type | Total Renewals | Checked out | Date last checked out | Public note |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | 510 | BITS Pilani Hyderabad | BITS Pilani Hyderabad | General Stack (For lending) | 25/08/2018 | 27.99 | 519.5 BHA-A | 35748 | 13/07/2024 | 25/08/2018 | Books | ||||||||
| Dewey Decimal Classification | 510 | BITS Pilani Hyderabad | BITS Pilani Hyderabad | General Stack (For lending) | 05/07/2022 | 1 | 519.5 BHA-A | 45934 | 21/07/2022 | 05/07/2022 | Books | 6 | 27/10/2025 | 21/07/2022 | Project Book : Dr. Sayan Ghosh. |