Fetching the paper…
Reading the bibliography…
Gaussian mixture models are widely used in Statistics.
J.W. Milnor, L. Siebenmann and J. Sondow: Lectures on the h-cobordism theorem. Princeton University Press
1965
Earlier work this paper cites.
J. Behboodian: On the modes of a mixture of two normal distributions. Technometrics
1970
Earlier work this paper cites.
A.G. Khovanskii: Fewnomials. American Mathematical Society
1991
Earlier work this paper cites.
M. Carreira-Perpiñán and C. Williams: On the number of modes of a Gaussian mixture. Scale-Space Methods in Computer Vision. Lecture Notes in Computer Science
2003
Earlier work this paper cites.
M. Carreira-Perpiñán and C. Williams: An isotropic Gaussian mixture can have more modes than components. Report EDI-INF-RR-0185, School of Informatics, University of Edinburgh, Scotland (2003)
2003
Earlier work this paper cites.
B. Wallace: On the critical points of Gaussian mixtures. Master’s Thesis
2003
Earlier work this paper cites.
S. Ray and B. Lindsay: The topography of multivariate normal mixtures. Annals of Statistics
2005
Cited alongside, same era.
F. Sottile: Real solutions to equations from geometry (Vol. 57
2011
Cited alongside, same era.
R. Steele, B. Sturmfels and S. Watanabe: Singular learning theory: connecting algebraic geometry and model selection in statistics. American Institute of Mathematics Workshop Summary, http://aimath.org/pastworkshops/modelselectionrep.pdf
2011
Cited alongside, same era.
H. Edelsbrunner, B. Fasy and G. Rote: Add isotropic Gaussian mixtures at own risk: more and more resilient modes in higher dimensions. Proc. of 27th Annual Symposium of Computational Geometry
2012
Cited alongside, same era.
S. Ray and D. Ren: On the upper bound of the number of modes of a multivariate normal mixture. Journal of Multivariate Analysis
2012
P. Bürgisser, M. Clausen and A. Shokrollahi: Algebraic complexity theory (Vol. 315
2013
Later among the works it cites.
Y.A. Ghassabeh: A sufficient condition for the convergence of the mean shift algorithm with Gaussian kernel. Journal of Multivariate Analysis
2015
Later among the works it cites.
C. Hennig, M. Meila, F. Murtagh and R. Rocci: Handbook of cluster analysis. CRC Press
2015
Later among the works it cites.
C. Améndola, M. Drton and B. Sturmfels: Maximum likelihood estimates for Gaussian mixtures are transcendental
2016
Later among the works it cites.
C. Jin, Y, Zhang, S. Balakrishnan, M.J. Wainwright and M.I. Jordan: Local maxima in the likelihood of Gaussian mixture models: structural results and algorithmic consequences. Advances in Neural Information Processing Systems
2016
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
G. Alexandrovich, H. Holzmann and S. Ray: On the number of modes of finite mixtures of elliptical distributions. Algorithms from and for Nature and Life
2013
Cited alongside, same era.