Fetching the paper…
Reading the bibliography…
We consider kernel methods on general geodesic metric spaces and provide both negative and positive results.
Metric spaces and completely monotone functions
I. J. Schönberg · 1938
Earlier work this paper cites.
The imbedding problem for Riemannian manifolds
J. Nash · 1956
Earlier work this paper cites.
Rao’s distance measure
C. Atkinson and A. F. Mitchell · 1981
Earlier work this paper cites.
Harmonic Analysis on Semigroups
J. P. R. C. Berg, Christian and P. Ressel · 1984
Earlier work this paper cites.
Shape manifolds, Procrustean metrics, and complex projective spaces
D. Kendall · 1984
Earlier work this paper cites.
Les représentations uniformément bornées associées à un arbre réel
A. Valette · 1990
Earlier work this paper cites.
The Riemannian manifold of all Riemannian metrics
O. Gil-Medrano and P. W. Michor · 1991
Earlier work this paper cites.
A mathematical introduction to robotic manipulation
R. Murray, Z. Li, and S. Sastry · 1994
Earlier work this paper cites.
Riemannian manifolds: An introduction to curvature
J. M. Lee · 1997
Earlier work this paper cites.
Exploiting generative models in discriminative classifiers
T. Jaakkola and D. Haussler · 1998
Earlier work this paper cites.
Gradient-based learning applied to document recognition
Y. LeCun, L. Bottou, Y. Bengio, and P. Haffner · 1998
Earlier work this paper cites.
Crofton formulae and geodesic distance in hyperbolic spaces
A. Robertson · 1998
Earlier work this paper cites.
Metric spaces of non-positive curvature
M. Bridson and A. Haefliger · 1999
Earlier work this paper cites.
Geometry and Invariance in Kernel Based Methods
C. J. C. Burges · 1999
Earlier work this paper cites.
Support vector machines for histogram-based image classification
O. Chapelle, P. Haffner, and V. N. Vapnik · 1999
Earlier work this paper cites.
Methods of information geometry
S. Amari and H. Nagaoka · 2000
Earlier work this paper cites.
Nonlinear dimensionality reduction by locally linear embedding
S. T. Roweis and L. K. Saul · 2000
Earlier work this paper cites.
A global geometric framework for nonlinear dimensionality reduction
J. B. Tenenbaum, V. de Silva, and J. C. Langford · 2000
Earlier work this paper cites.
The kernel trick for distances
B. Schölkopf · 2001
Earlier work this paper cites.
Learning with kernels : support vector machines, regularization, optimization, and beyond
B. Schölkopf and A. Smola · 2002
Earlier work this paper cites.
Laplacian eigenmaps for dimensionality reduction and data representation
M. Belkin and P. Niyogi · 2003
Cited alongside, same era.
Rational kernels: Theory and algorithms
C. Cortes, P. Haffner, and M. Mohri · 2004
Cited alongside, same era.
Principal geodesic analysis on symmetric spaces: Statistics of diffusion tensors
P. T. Fletcher and S. C. Joshi · 2004
Cited alongside, same era.
Inferring white matter geometry from diffusion tensor MRI: Application to connectivity mapping
C. Lenglet, R. Deriche, and O. Faugeras · 2004
Cited alongside, same era.
Fast and simple calculus on tensors in the log-Euclidean framework
V. Arsigny, P. Fillard, X. Pennec, and N. Ayache · 2005
Cited alongside, same era.
Histograms of oriented gradients for human detection
N. Dalal and B. Triggs · 2005
Cited alongside, same era.
Geodesic analysis on the Gaussian RKHS hypersphere
N. Courty, T. Burger, and P.-F. Marteau · 2012
Later among the works it cites.
Lie bodies: A manifold representation of 3D human shape
O. Freifeld and M. Black · 2012
Later among the works it cites.
Geodesic flow kernel for unsupervised domain adaptation
B. Gong, Y. Shi, F. Sha, and K. Grauman · 2012
Later among the works it cites.
A geometric take on metric learning
S. Hauberg, O. Freifeld, and M. Black · 2012
Later among the works it cites.
Natural metrics and least-committed priors for articulated tracking
S. Hauberg, S. Sommer, and K. S. Pedersen · 2012
Later among the works it cites.
Manifold indexed fractional fields
J. Istas · 2012
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Diffusion kernels on statistical manifolds
J. D. Lafferty and G. Lebanon · 2005
Cited alongside, same era.
Statistical shape analysis: Clustering, learning, and testing
A. Srivastava, S. H. Joshi, W. Mio, and X. Liu · 2005
Cited alongside, same era.
A Riemannian framework for tensor computing
X. Pennec, P. Fillard, and N. Ayache · 2006
Cited alongside, same era.
Covariance tracking using model update based on Lie algebra
F. Porikli, O. Tuzel, and P. Meer · 2006
Cited alongside, same era.
Region covariance: A fast descriptor for detection and classification
O. Tuzel, F. Porikli, and P. Meer · 2006
Cited alongside, same era.
Kazhdan’s Property (T)
A. V. B. Bekka, P. de la Harpe · 2008
Cited alongside, same era.
Spaces and manifolds of shapes in computer vision: An overview
L. Younes · 2012
Later among the works it cites.
Toward a theory of statistical tree-shape analysis
A. Feragen, P. Lo, M. de Bruijne, M. Nielsen, and F. Lauze · 2013
Later among the works it cites.
Tree-space statistics and approximations for large-scale analysis of anatomical trees
A. Feragen, M. Owen, J. Petersen, M. Wille, L. Thomsen, A. Dirksen, and M. de Bruijne · 2013
Later among the works it cites.
Geodesic regression and the theory of least squares on Riemannian manifolds
P. T. Fletcher · 2013
Later among the works it cites.
Kernel methods on the Riemannian manifold of symmetric positive definite matrices
S. Jayasumana, R. Hartley, M. Salzmann, H. Li, and M. Harandi · 2013
Later among the works it cites.
Combining multiple manifold-valued descriptors for improved object recognition
S. Jayasumana, R. Hartley, M. Salzmann, H. Li, and M. T. Harandi · 2013
Later among the works it cites.
Parallel transport of deformations in shape space of elastic surfaces
Q. Xie, S. Kurtek, H. Le, and A. Srivastava · 2013
Later among the works it cites.
Free-form region description with second-order pooling
J. Carreira, R. Caseiro, J. Batista, and C. Sminchisescu · 2014
Closest in time.
Model transport: Towards scalable transfer learning on manifolds
O. Freifeld, S. Hauberg, and M. J. Black · 2014
Closest in time.
Grassmann averages for scalable robust PCA
S. Hauberg, A. Feragen, and M. J. Black · 2014
Closest in time.
Intrinsic polynomials for regression on Riemannian manifolds
J. Hinkle, P. Fletcher, and S. Joshi · 2014
Closest in time.
Optimizing over radial kernels on compact manifolds
S. Jayasumana, R. Hartley, M. Salzmann, H. Li, and M. Harandi · 2014
Closest in time.
Tracking on the product manifold of shape and orientation for tractography from diffusion MRI
Y. Wang, H. Salehian, G. Cheng, and B. C. Vemuri · 2014
Closest in time.