Fetching the paper…
Reading the bibliography…
We establish connections between invariant theory and maximum likelihood estimation for discrete statistical models.
On a least squares adjustment of a sampled frequency table when the expected marginal totals are known
W.E. Deming and F.F. Stephan · 1940
Earlier work this paper cites.
Maximum likelihood in three-way contingency tables
M.W. Birch · 1963
Earlier work this paper cites.
A relationship between arbitrary positive matrices and doubly stochastic matrices
R. Sinkhorn · 1964
Earlier work this paper cites.
Concerning nonnegative matrices and doubly stochastic matrices
R. Sinkhorn and P. Knopp · 1967
Earlier work this paper cites.
An iterative procedure for estimation in contingency tables
S.E. Fienberg · 1970
Earlier work this paper cites.
Orbits of linear algebraic groups
D. Birkes · 1971
Earlier work this paper cites.
Generalized iterative scaling for log-linear models
J.N. Darroch and D. Ratcliff · 1972
Earlier work this paper cites.
Log-linear models for frequency tables derived by indirect observation: Maximum likelihood equations
S.J. Haberman · 1974
Earlier work this paper cites.
The length of vectors in representation spaces
G. Kempf and L. Ness · 1979
Earlier work this paper cites.
Convexity and commuting Hamiltonians
M. F. Atiyah · 1982
Earlier work this paper cites.
Convexity properties of the moment mapping
V. Guillemin and S. Sternberg · 1982
Cited alongside, same era.
Geometrische Methoden in der Invariantentheorie
Hanspeter Kraft · 1984
Cited alongside, same era.
Theory of linear and integer programming
Alexander Schrijver · 1986
Cited alongside, same era.
Geometric invariant theory
D. Mumford, J. Fogarty, and F. Kirwan · 1994
Cited alongside, same era.
Invariant theory
Vladimir L Popov and Ernest B Vinberg · 1994
Cited alongside, same era.
Graphical models
S. Lauritzen · 1996
Cited alongside, same era.
An elementary proof of the Hilbert-Mumford criterion
B Sury · 2000
Cited alongside, same era.
Extremal metrics and K-stability
G. Székelyhidi · 2006
Later among the works it cites.
Discrete multivariate analysis: theory and practice
Yvonne M Bishop, Stephen E Fienberg, and Paul W Holland · 2007
Later among the works it cites.
Lectures on Algebraic Statistics
M. Drton, B. Sturmfels, and S. Sullivant · 2009
Later among the works it cites.
Toric varieties
David A Cox, John B Little, and Henry K Schenck · 2011
Later among the works it cites.
Maximum likelihood estimation in log-linear models
S.E. Fienberg and A. Rinaldo · 2012
Later among the works it cites.
Recent progress on scaling algorithms and applications
A. Garg and R. Oliveira · 2018
Later among the works it cites.
Algebraic Statistics
S. Sullivant · 2018
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Lectures on invariant theory
I. Dolgachev · 2003
Cited alongside, same era.
Algebraic statistics for computational biology
L. Pachter and B. Sturmfels · 2005
Cited alongside, same era.
On the toric algebra of graphical models
D. Geiger, C. Meek, and B. Sturmfels · 2006
Cited alongside, same era.
Ueber die theorie der algebraischen formen
David Hilbert
Cited in the paper.
Later among the works it cites.
Interior-point methods for unconstrained geometric programming and scaling problems
P. Bürgisser, Y. Li, H. Nieuwboer, and M. Walter · 2020
Closest in time.
Invariant theory and scaling algorithms for maximum likelihood estimation
Carlos Améndola, Kathlén Kohn, Philipp Reichenbach, and Anna Seigal · 2021
Closest in time.