5 papers
Singular Learning Theory for Factor Analysis
Mathias Drton, Elizabeth Gross, Dimitra Kosta +4
Watanabe's singular learning theory provides a framework for asymptotic analysis of Bayesian model selection for statistical models with singularities, where traditional statistica…
Multiprojective Geometry of Compatible Triples of Fundamental and Essential Matrices
Timothy Duff, Viktor Korotynskiy, Anton Leykin +1
We characterize the variety of compatible fundamental matrix triples by computing its multidegree and multihomogeneous vanishing ideal. This answers the first interesting case of a…
Projective Plane Subdivision Method For Initial Orbit Determination
Ruiqi Huang, Anton Leykin, Michela Mancini
Initial Orbit Determination (IOD) is the classical problem of estimating the orbit of a body in space without any presumed information about the orbit. The geometric formulation of…
Effective Whitney Stratification of Real Algebraic Varieties
Martin Helmer, Anton Leykin, Vidit Nanda
We describe new algorithms to compute Whitney stratifications of real algebraic varieties. Using either conormal or polar techniques, these algorithms stratify a complexification o…
Smale's 6th problem for generic masses
Anders N. Jensen, Anton Leykin
We give a new method to attempt to prove that, for a given , there are finitely many equivalence classes of planar central configurations in the Newtonian -body problem for g…