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Found 180 Documents (Results 1–100)

Application of Kähler manifold to signal processing and Bayesian inference. (English) Zbl 1483.53121

Mohammad-Djafari, Ali (ed.) et al., Bayesian inference and maximum entropy methods in science and engineering (MaxEnt 2014), Clos Lucé, Amboise, France, September 21–26, 2014. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1641, 113-120 (2015).
MSC:  53Z50 62F15 94A15
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Data-driven sub-Riemannian geodesics in \(\mathrm{SE}(2)\). (English) Zbl 1453.94003

Aujol, Jean-François (ed.) et al., Scale space and variational methods in computer vision. 5th international conference, SSVM 2015, Lège-Cap Ferret, France, May 31 – June 4, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9087, 613-625 (2015).
MSC:  94A08 53C17
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Information geometry of the Gaussian distribution in view of stochastic optimization. (English) Zbl 1360.90178

Proceedings of the 13th ACM SIGEVO workshop on foundations of genetic algorithms, FOGA 2015, Aberystwyth, UK, January 17–20, 2015. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-3434-1). 150-162 (2015).
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Image processing in the semidiscrete group of rototranslations. (English) Zbl 1406.94005

Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 627-634 (2015).
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Rolling symmetric spaces. (English) Zbl 1354.94017

Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 550-557 (2015).
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Pontryagin calculus in Riemannian geometry. (English) Zbl 1406.70003

Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 541-549 (2015).
MSC:  70B15 94A15 53B99
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Symplectic structure of information geometry: Fisher metric and Euler-Poincaré equation of Souriau Lie group thermodynamics. (English) Zbl 1406.94011

Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 529-540 (2015).
MSC:  94A15 53D05
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PDE constrained shape optimization as optimization on shape manifolds. (English) Zbl 1406.49051

Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 499-508 (2015).
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Transformations and coupling relations for affine connections. (English) Zbl 1396.53046

Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 326-339 (2015).
MSC:  53C07 94A15
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Standard divergence in manifold of dual affine connections. (English) Zbl 1396.53044

Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 320-325 (2015).
MSC:  53C07 94A17
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Multiply CR-warped product statistical submanifolds of a holomorphic statistical space form. (English) Zbl 1396.53049

Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 257-268 (2015).
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The Pontryagin forms of Hessian manifolds. (English) Zbl 1396.53048

Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 240-247 (2015).
MSC:  53C15 94A15
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Curvatures of statistical structures. (English) Zbl 1396.53052

Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 230-239 (2015).
MSC:  53C15 62H11 94A15
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Hessian structures and non-invariant \((F,G)\)-geometry on a deformed exponential family. (English) Zbl 1396.53051

Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 213-221 (2015).
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Invariant geometric structures on statistical models. (English) Zbl 1396.53054

Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 150-158 (2015).
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Biased estimators on quotient spaces. (English) Zbl 1396.62103

Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 130-139 (2015).
MSC:  62H11 53C15 94A15
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Spherical parameterization for genus zero surfaces using Laplace-Beltrami eigenfunctions. (English) Zbl 1396.53007

Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 121-129 (2015).
MSC:  53A05 94A15
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Barycentric subspaces and affine spans in manifolds. (English) Zbl 1376.94017

Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 12-21 (2015).
MSC:  94A15 53C99
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Integral geometry and mathematical problems of image reconstruction. (English) Zbl 1345.94005

Siddiqi, Abul Hasan (ed.) et al., Mathematical models, methods and applications. Papers based on invited and contributory talks given at the 11th international biennial conference on emerging mathematical methods, models and algorithms for science and technology, Greater Noida, India, December 15–16, 2012. Singapore: Springer (ISBN 978-981-287-971-4/hbk; 978-981-287-973-8/ebook). Industrial and Applied Mathematics, 41-53 (2015).
MSC:  94A08 53C65 68U10
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Rotational integral geometry and local stereology – with a view to image analysis. (English) Zbl 1343.53079

Schmidt, Volker (ed.), Stochastic geometry, spatial statistics and random fields. Models and algorithms. Selected papers based on the presentations at the summer academy on stochastic analysis, modelling and simulation of complex structures, Söllerhaus, Hirschegg, Germany, September 11–24, 2011. Cham: Springer (ISBN 978-3-319-10063-0/pbk; 978-3-319-10064-7/ebook). Lecture Notes in Mathematics 2120, 233-255 (2015).
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Algebraic representation of the group of entropy vectors in nonextensive statistical mechanics. (English. Russian original) Zbl 1338.82025

Russ. Phys. J. 57, No. 11, 1547-1555 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 57, No. 11, 84-90 (2014).
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Expanding the family of Grassmannian kernels: an embedding perspective. (English) Zbl 1376.94021

Fleet, David (ed.) et al., Computer vision – ECCV 2014. 13th European conference, Zurich, Switzerland, September 6–12, 2014. Proceedings, Part VII. Berlin: Springer (ISBN 978-3-319-10583-3/pbk). Lecture Notes in Computer Science 8695, 408-423 (2014).
MSC:  94A29 94A08 53A99
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Eidetic reduction of information geometry through Legendre duality of Koszul characteristic function and entropy: from Massieu-Duhem potentials to geometric Souriau temperature and Balian quantum Fisher metric. (English) Zbl 1317.94035

Nielsen, Frank (ed.), Geometric theory of information. Selected and revised contributions of the first conference on the geometric sciences of information, GSI, Paris, France, August 2013. Cham: Springer (ISBN 978-3-319-05316-5/hbk; 978-3-319-05317-2/ebook). Signals and Communication Technology, 141-217 (2014).
MSC:  94A15 53C99
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Geometry on positive definite matrices deformed by \(V\)-potentials and its submanifold structure. (English) Zbl 1317.94043

Nielsen, Frank (ed.), Geometric theory of information. Selected and revised contributions of the first conference on the geometric sciences of information, GSI, Paris, France, August 2013. Cham: Springer (ISBN 978-3-319-05316-5/hbk; 978-3-319-05317-2/ebook). Signals and Communication Technology, 31-55 (2014).
MSC:  94A17 53C99
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Divergence functions and geometric structures they induce on a manifold. (English) Zbl 1317.94048

Nielsen, Frank (ed.), Geometric theory of information. Selected and revised contributions of the first conference on the geometric sciences of information, GSI, Paris, France, August 2013. Cham: Springer (ISBN 978-3-319-05316-5/hbk; 978-3-319-05317-2/ebook). Signals and Communication Technology, 1-30 (2014).
MSC:  94A17 53C99
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Prospects of differential geometry and its related fields. Proceedings of the 3rd international colloquium on differential geometry and its related fields (ICDG), Veliko Tarnovo, Bulgaria, September 3–7, 2012. (English) Zbl 1279.53003

Hackensack, NJ: World Scientific (ISBN 978-981-4541-80-0/hbk; 978-981-4541-82-4/ebook). xiv, 228 p. (2014).
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To the homogeneous symplectic manifold toward the geometry of information. (English) Zbl 1311.94029

Nielsen, Frank (ed.) et al., Geometric science of information. First international conference, GSI 2013, Paris, France, August 28–30, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-40019-3/pbk). Lecture Notes in Computer Science 8085, 868-876 (2013).
MSC:  94A17 53C30 17B70
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Target detection of non-stationary radar signal and Riemannian geometry. (English) Zbl 1322.94030

Nielsen, Frank (ed.) et al., Geometric science of information. First international conference, GSI 2013, Paris, France, August 28–30, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-40019-3/pbk). Lecture Notes in Computer Science 8085, 821-828 (2013).
MSC:  94A12 53C21
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Multiscale covariance fields, local scales, and shape transforms. (English) Zbl 1322.62185

Nielsen, Frank (ed.) et al., Geometric science of information. First international conference, GSI 2013, Paris, France, August 28–30, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-40019-3/pbk). Lecture Notes in Computer Science 8085, 794-801 (2013).
MSC:  62H35 94A08 53B21
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Deconvolution for the Wasserstein metric and geometric inference. (English) Zbl 1396.94046

Nielsen, Frank (ed.) et al., Geometric science of information. First international conference, GSI 2013, Paris, France, August 28–30, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-40019-3/pbk). Lecture Notes in Computer Science 8085, 561-568 (2013).
MSC:  94A17 53C23
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A geometric framework for non-unitary joint diagonalization of complex symmetric matrices. (English) Zbl 1406.65023

Nielsen, Frank (ed.) et al., Geometric science of information. First international conference, GSI 2013, Paris, France, August 28–30, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-40019-3/pbk). Lecture Notes in Computer Science 8085, 353-360 (2013).
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Foliations on affinely flat manifolds: information geometry. (English) Zbl 1405.53044

Nielsen, Frank (ed.) et al., Geometric science of information. First international conference, GSI 2013, Paris, France, August 28–30, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-40019-3/pbk). Lecture Notes in Computer Science 8085, 283-292 (2013).
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Hessian structures on deformed exponential families. (English) Zbl 1405.94034

Nielsen, Frank (ed.) et al., Geometric science of information. First international conference, GSI 2013, Paris, France, August 28–30, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-40019-3/pbk). Lecture Notes in Computer Science 8085, 275-282 (2013).
MSC:  94A17 53C15 62B10
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Geodesic image regression with a sparse parameterization of diffeomorphisms. (English) Zbl 1368.62182

Nielsen, Frank (ed.) et al., Geometric science of information. First international conference, GSI 2013, Paris, France, August 28–30, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-40019-3/pbk). Lecture Notes in Computer Science 8085, 95-102 (2013).
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Parallel transport with Pole ladder: application to deformations of time series of images. (English) Zbl 1350.94012

Nielsen, Frank (ed.) et al., Geometric science of information. First international conference, GSI 2013, Paris, France, August 28–30, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-40019-3/pbk). Lecture Notes in Computer Science 8085, 68-75 (2013).
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Bi-invariant means on Lie groups with Cartan-Schouten connections. (English) Zbl 1350.22008

Nielsen, Frank (ed.) et al., Geometric science of information. First international conference, GSI 2013, Paris, France, August 28–30, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-40019-3/pbk). Lecture Notes in Computer Science 8085, 59-67 (2013).
MSC:  22Exx 53C30 94A15
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Geometric science of information. First international conference, GSI 2013, Paris, France, August 28–30, 2013. Proceedings. (English) Zbl 1284.94005

Lecture Notes in Computer Science 8085. Berlin: Springer (ISBN 978-3-642-40019-3/pbk). xix, 879 p. (2013).
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