17 citations · 115 across the 43 of their papers we have counts for
52 papers
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…
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…
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…
State estimation of a moving frequency source from observations at multiple receivers
Michela Mancini, Anton Leykin, John A. Christian
The task of position and velocity estimation of a moving transmitter (with either a known or unknown frequency) is a common problem arising in many different application domains. B…
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…
Geometric Solution to the Angles-Only Initial Orbit Determination Problem
Michela Mancini, Timothy Duff, Anton Leykin +1
Initial orbit determination (IOD) from line-of-sight (i.e., bearing) measurements is a classical problem in astrodynamics. Indeed, there are many well-established methods for perfo…