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02/16/2023
Numerical Nonlinear Algebra
Numerical nonlinear algebra is a computational paradigm that uses numeri...
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02/09/2023
Isolating clusters of zeros of analytic systems using arbitrary-degree inflation
Given a system of analytic functions and an approximation to a cluster o...
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06/06/2022
u-generation: solving systems of polynomials equation-by-equation
We develop a new method that improves the efficiency of equation-by-equa...
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12/06/2021
Learning to Solve Hard Minimal Problems
We present an approach to solving hard geometric optimization problems i...
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09/12/2020
Inflation of poorly conditioned zeros of systems of analytic functions
Given a system of analytic functions and an approximate zero, we transfo...
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06/24/2020
Noetherian operators and primary decomposition
Noetherian operators are differential operators that encode primary comp...
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03/10/2020
PL_1P – Point-line Minimal Problems under Partial Visibility in Three Views
We present a complete classification of minimal problems for generic arr...
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03/24/2019
PLMP - Point-Line Minimal Problems in Complete Multi-View Visibility
We present a complete classification of all minimal problems for generic...
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03/23/2019
Trifocal Relative Pose from Lines at Points and its Efficient Solution
We present a new minimal problem for relative pose estimation mixing poi...
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01/24/2019
Effective certification of approximate solutions to systems of equations involving analytic functions
We develop algorithms for certifying an approximation to a nonsingular s...
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05/30/2018
Monodromy Solver: Sequential and Parallel
We describe, study, and experiment with an algorithm for finding all sol...
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06/12/2017
Beyond Polyhedral Homotopies
We present a new algorithmic framework which utilizes tropical geometry ...
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09/28/2016