000 03535nam a22005895i 4500
001 978-3-319-45026-1
003 DE-He213
005 20200421112045.0
007 cr nn 008mamaa
008 161005s2016 gw | s |||| 0|eng d
020 _a9783319450261
_9978-3-319-45026-1
024 7 _a10.1007/978-3-319-45026-1
_2doi
050 4 _aQ337.5
050 4 _aTK7882.P3
072 7 _aUYQP
_2bicssc
072 7 _aCOM016000
_2bisacsh
082 0 4 _a006.4
_223
245 1 0 _aAlgorithmic Advances in Riemannian Geometry and Applications
_h[electronic resource] :
_bFor Machine Learning, Computer Vision, Statistics, and Optimization /
_cedited by H�a Quang Minh, Vittorio Murino.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aXIV, 208 p. 55 illus., 51 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAdvances in Computer Vision and Pattern Recognition,
_x2191-6586
520 _aThis book presents a selection of the most recent algorithmic advances in Riemannian geometry in the context of machine learning, statistics, optimization, computer vision, and related fields. The unifying theme of the different chapters in the book is the exploitation of the geometry of data using the mathematical machinery of Riemannian geometry. As demonstrated by all the chapters in the book, when the data is intrinsically non-Euclidean, the utilization of this geometrical information can lead to better algorithms that can capture more accurately the structures inherent in the data, leading ultimately to better empirical performance. This book is not intended to be an encyclopedic compilation of the applications of Riemannian geometry. Instead, it focuses on several important research directions that are currently actively pursued by researchers in the field. These include statistical modeling and analysis on manifolds,optimization on manifolds, Riemannian manifolds and kernel methods, and dictionary learning and sparse coding on manifolds. Examples of applications include novel algorithms for Monte Carlo sampling and Gaussian Mixture Model fitting,  3D brain image analysis,image classification, action recognition, and motion tracking.
650 0 _aComputer science.
650 0 _aMathematical statistics.
650 0 _aArtificial intelligence.
650 0 _aPattern recognition.
650 0 _aComputer science
_xMathematics.
650 0 _aComputer mathematics.
650 0 _aStatistics.
650 0 _aComputational intelligence.
650 1 4 _aComputer Science.
650 2 4 _aPattern Recognition.
650 2 4 _aComputational Intelligence.
650 2 4 _aStatistics and Computing/Statistics Programs.
650 2 4 _aMathematical Applications in Computer Science.
650 2 4 _aArtificial Intelligence (incl. Robotics).
650 2 4 _aProbability and Statistics in Computer Science.
700 1 _aMinh, H�a Quang.
_eeditor.
700 1 _aMurino, Vittorio.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319450254
830 0 _aAdvances in Computer Vision and Pattern Recognition,
_x2191-6586
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-45026-1
912 _aZDB-2-SCS
942 _cEBK
999 _c56886
_d56886