Fetching the paper…
Reading the bibliography…
Given a class of closed Riemannian manifolds with prescribed geometric conditions, we introduce an embedding of the manifolds into $\ell^2$ based on the heat kernel of the Connection Laplacian associated with the Levi-Civita connection on the tangent bundle.
The Index Theorem and the Heat Equation
P. Gilkey · 1974
Earlier work this paper cites.
Spectral Geometry: Direct and Inverse Problems
P. Bérard · 1986
Earlier work this paper cites.
Embedding riemannian manifolds by their heat kernel
P. Bérard, G. Besson, and S. Gallot · 1994
Earlier work this paper cites.
Spectral Graph Theory
F. Chung · 1996
Earlier work this paper cites.
Laplacian Eigenmaps for Dimensionality Reduction and Data Representation
M. Belkin and P. Niyogi · 2003
Earlier work this paper cites.
Diffusion maps
R. R. Coifman and S. Lafon · 2006
Earlier work this paper cites.
Convergence of Laplacian eigenmaps
M. Belkin and P. Niyogi · 2007
Earlier work this paper cites.
Manifold parametrizations by eigenfunctions of the laplacian and heat kernels
P. Jones, M. Maggioni, and R. Schul · 2008
Earlier work this paper cites.
Gromov-hausdorff stable signatures for shapes using persistence
F. Chazal, D. Cohen-Steiner, L. J. Guibas, F. Mémoli, and S. Y. Oudot · 2009
Earlier work this paper cites.
A concise and provably informative multi-scale signature based on heat diffusion
J. Sun, M. Ovsjanikov, and L. Guibas · 2009
Cited alongside, same era.
On information plus noise kernel random matrices
N. El Karoui · 2010
Cited alongside, same era.
Manifold parametrizations by eigenfunctions of the laplacian and heat kernels
P. Jones, M. Maggioni, and R. Schul · 2010
Cited alongside, same era.
Representation theoretic patterns in three dimensional cryo-electron microscopy II – the class averaging problem
R. Hadani and A. Singer · 2011
Cited alongside, same era.
A spectral notion of gromov-wasserstein distance and related methods
F. Mémoli · 2011
Cited alongside, same era.
Orientability and diffusion map
A. Singer and H.-T. Wu · 2011
Cited alongside, same era.
Eigenvector synchronization, graph rigidity and the molecule problem
M. Cucuringu, A. Singer, and D. Cowburn · 2012
Later among the works it cites.
Vector diffusion maps and the connection laplacian
A. Singer and H.-T. Wu · 2012
Later among the works it cites.
Phase retrieval with polarization
B. Alexeev, A. S. Bandeira, M. Fickus, and D. G. Mixon · 2013
Closest in time.
The embedding dimension of laplacian eigenfunction maps
J. Bates · 2014
Closest in time.
Rotationally invariant image representation for viewing direction classification in cryo-em
Z. Zhao and A. Singer · 2014
Closest in time.
Connection graph Laplacian methods can be made robust to noise
N. El Karoui and H.-T. Wu · 2015
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Viewing angle classification of cryo-electron microscopy images using eigenvectors
A. Singer, Z. Zhao, Y. Shkolnisky, and R. Hadani · 2011
Cited alongside, same era.
A compact embedding for sequence spaces
J. Bisgard · 2012
Cited alongside, same era.
Sensor network localization by eigenvector synchronization over the euclidean group
M. Cucuringu, Y. Lipman, and A. Singer · 2012
Cited alongside, same era.
Alternating Projection, Ptychographic Imaging and Phase Synchronization
S. Marchesini, Y.-C. Tu, and H.-T. Wu · 2015
Closest in time.
Embeddings of Riemannian manifolds with heat kernels and eigenfunctions
J. W. Portegies · 2015
Closest in time.
Spectral convergence of the connection laplacian from random samples
A. Singer and H.-T. Wu · 2016
Closest in time.