Fetching the paper…
Reading the bibliography…
We propose a deep-learning based method for obtaining standardized data coordinates from scientific measurements.Data observations are modeled as samples from an unknown, non-linear deformation of an underlying Riemannian manifold, which is parametrized by a few normalized latent variables.
J. B. Kruskal, “Nonmetric multidimensional scaling: a numerical method,” Psychometrika
1964
Earlier work this paper cites.
J. B. Tenenbaum, V. de Silva, and J. C. Langford, “A global geometric framework for nonlinear dimensionality reduction,” Science
2000
Earlier work this paper cites.
J. B. Tenenbaum, V. De Silva, and J. C. Langford, “A global geometric framework for nonlinear dimensionality reduction,” science
2000
Earlier work this paper cites.
H.-P. Deutsch, “Principal component analysis,” in Derivatives and Internal Models
2002
Earlier work this paper cites.
M. Belkin and P. Niyogi, “Laplacian eigenmaps for dimensionality reduction and data representation,” Neural computation
2003
Earlier work this paper cites.
L. Zelnik-Manor and P. Perona, “Self-tuning spectral clustering,” in Advances in neural information processing systems
2005
Earlier work this paper cites.
R. R. Coifman and S. Lafon, “Diffusion maps,” Applied and computational harmonic analysis
2006
Earlier work this paper cites.
R. R. Coifman and S. Lafon, “Geometric harmonics: a novel tool for multiscale out-of-sample extension of empirical functions,” Applied and Computational Harmonic Analysis
2006
Earlier work this paper cites.
R. Swinbank and R. James Purser, “Fibonacci grids: A novel approach to global modelling,” Quarterly Journal of the Royal Meteorological Society: A journal of the atmospheric sciences, applied meteorology and physical oceanography
2006
Earlier work this paper cites.
L. v. d. Maaten and G. Hinton, “Visualizing data using t-sne,” Journal of machine learning research
2008
Earlier work this paper cites.
A. Singer and R. R. Coifman, “Non-linear independent component analysis with diffusion maps,” Applied and Computational Harmonic Analysis
2008
Earlier work this paper cites.
A. Singer, R. Erban, I. G. Kevrekidis, and R. R. Coifman, “Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion maps,” Proceedings of the National Academy of Sciences
2009
Earlier work this paper cites.
Y. Keller, R. R. Coifman, S. Lafon, and S. W. Zucker, “Audio-visual group recognition using diffusion maps,” IEEE Transactions on Signal Processing
2009
Earlier work this paper cites.
R. Talmon, I. Cohen, and S. Gannot, “Supervised source localization using diffusion kernels,” in 2011 IEEE workshop on applications of signal processing to audio and acoustics (WASPAA)
2011
Cited alongside, same era.
P. Baldi, “Autoencoders, unsupervised learning, and deep architectures,” in Proceedings of ICML workshop on unsupervised and transfer learning
2012
Cited alongside, same era.
N. Rabin and R. R. Coifman, “Heterogeneous datasets representation and learning using diffusion maps and laplacian pyramids,” in Proceedings of the 2012 SIAM International Conference on Data Mining
2012
Cited alongside, same era.
D. Kushnir, A. Haddad, and R. R. Coifman, “Anisotropic diffusion on sub-manifolds with application to earth structure classification,” Applied and Computational Harmonic Analysis
2012
Cited alongside, same era.
E. Schubert, J. Sander, M. Ester, H. P. Kriegel, and X. Xu, “Dbscan revisited, revisited: why and how you should (still) use dbscan,” ACM Transactions on Database Systems (TODS)
2017
Later among the works it cites.
N. Alikhani, S. Amirinanloo, V. Moghtadaiee, and S. A. Ghorashi, “Fast fingerprinting based indoor localization by wi-fi signals,” in 2017 7th International Conference on Computer and Knowledge Engineering (ICCKE)
2017
Later among the works it cites.
2017
Later among the works it cites.
L. McInnes, J. Healy, N. Saul, and L. Großberger, “Umap: uniform manifold approximation and projection,” The Journal of Open Source Software
2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
R. Talmon and R. R. Coifman, “Differential stochastic sensing: Intrinsic modeling of random time series with applications to nonlinear tracking,” Proc. Nat. Acad. Sci
2012
Cited alongside, same era.
2013
Cited alongside, same era.
X. Wang, H. Mao, H. Hu, and Z. Zhang, “Crack localization in hydraulic turbine blades based on kernel independent component analysis and wavelet neural network,” International Journal of Computational Intelligence Systems
2013
Cited alongside, same era.
R. Talmon and R. R. Coifman, “Empirical intrinsic geometry for nonlinear modeling and time series filtering,” Proceedings of the National Academy of Sciences
2013
Cited alongside, same era.
C. J. Dsilva, R. Talmon, N. Rabin, R. R. Coifman, and I. G. Kevrekidis, “Nonlinear intrinsic variables and state reconstruction in multiscale simulations,” The Journal of chemical physics
2013
Cited alongside, same era.
H.-t. Wu, R. Talmon, and Y.-L. Lo, “Assess sleep stage by modern signal processing techniques,” IEEE Transactions on Biomedical Engineering
2014
Cited alongside, same era.
A. Jaffe and M. Wax, “Single-site localization via maximum discrimination multipath fingerprinting,” IEEE Transactions on Signal Processing
2014
Cited alongside, same era.
S. Alam, F. D. Albareti, C. A. Prieto, F. Anders, S. F. Anderson, T. Anderton, B. H. Andrews, E. Armengaud, É. Aubourg, S. Bailey, et al
2015
Cited alongside, same era.
F. P. Kemeth, S. W. Haugland, F. Dietrich, T. Bertalan, K. Höhlein, Q. Li, E. M. Bollt, R. Talmon, K. Krischer, and I. G. Kevrekidis, “An emergent space for distributed data with hidden internal order through manifold learning,” IEEE Access
2018
Later among the works it cites.
2018
Later among the works it cites.
V. F. Calderon and A. A. Berlind, “Prediction of galaxy halo masses in sdss dr7 via a machine learning approach,” Monthly Notices of the Royal Astronomical Society
2019
Later among the works it cites.
A. Schwartz and R. Talmon, “Intrinsic isometric manifold learning with application to localization,” SIAM Journal on Imaging Sciences
2019
Later among the works it cites.
S. A. Shevchik, B. Meylan, G. Violakis, and K. Wasmer, “3d reconstruction of cracks propagation in mechanical workpieces analyzing non-stationary acoustic mixtures,” Mechanical Systems and Signal Processing
2019
Later among the works it cites.
M. Salhov, O. Lindenbaum, Y. Aizenbud, A. Silberschatz, Y. Shkolnisky, and A. Averbuch, “Multi-view kernel consensus for data analysis,” Applied and Computational Harmonic Analysis
2019
Later among the works it cites.
2019
Later among the works it cites.