{"product_id":"nonparametric-inference-on-manifolds-abhishek-bhattacharya-9781107019584","title":"Nonparametric Inference on Manifolds: With Applications to Shape Spaces","description":"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 Fr chet 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Abhishek Bhattacharya, Rabi Bhattacharya\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1107019583\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781107019584\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/05\/2012\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 252\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.15lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.00w x 0.80d","brand":"Abhishek Bhattacharya","offers":[{"title":"Hardcover","offer_id":44120796987647,"sku":"9781107019584","price":65.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_8d0b1b8d-50cd-4f06-985e-bdd7ca59cc04.jpg?v=1687416338","url":"https:\/\/www.whiterainbookhouse.com\/products\/nonparametric-inference-on-manifolds-abhishek-bhattacharya-9781107019584","provider":"WR Book House","version":"1.0","type":"link"}