Jonathan D. Hauenstein

According to our database, Jonathan D. Hauenstein authored at least 96 papers between 2008 and 2025.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2025

Branch points of homotopies: Distribution and probability of failure.

Jonathan D. Hauenstein, Caroline Hills, Andrew J. Sommese, Charles W. Wampler

Appl. Math. Comput., 2025

2024

Max-convolution through numerics and tropical geometry.

Taylor Brysiewicz, Jonathan D. Hauenstein, Caroline Hills

Numer. Algorithms, June, 2024

A Numerical Method for Solving Elliptic Equations on Real Closed Algebraic Curves and Surfaces.

Wenrui Hao, Jonathan D. Hauenstein, Margaret H. Regan, Tingting Tang

J. Sci. Comput., May, 2024

LINFA: a Python library for variational inference with normalizing flow and annealing.

Yu Wang, Emma R. Cobian, Jubilee Lee, Fang Liu, Jonathan D. Hauenstein, Daniele E. Schiavazzi

J. Open Source Softw., April, 2024

On parametric semidefinite programming with unknown boundaries.

Jonathan D. Hauenstein, Tingting Tang

J. Symb. Comput., 2024

On computing local monodromy and the numerical local irreducible decomposition.

Parker B. Edwards, Jonathan D. Hauenstein

CoRR, 2024

Enhancing Ecological Monitoring with Multi-Objective Optimization: A Novel Dataset and Methodology for Segmentation Algorithms.

Sophia J. Abraham, Jin Huang, Brandon RichardWebster, Michael Milford, Jonathan D. Hauenstein, Walter J. Scheirer

CoRR, 2024

Robust Numerical Algebraic Geometry.

Emma R. Cobian, Jonathan D. Hauenstein, Charles W. Wampler

CoRR, 2024

2023

Computing Geometric Feature Sizes for Algebraic Manifolds.

Sandra Di Rocco, Parker B. Edwards, David Eklund, Oliver Gäfvert, Jonathan D. Hauenstein

SIAM J. Appl. Algebra Geom., December, 2023

Special issue on Algebraic Geometry and Machine Learning.

Jonathan D. Hauenstein, Yang-Hui He, Ilias S. Kotsireas, Dhagash Mehta, Tingting Tang

J. Symb. Comput., September, 2023

Trifocal Relative Pose From Lines at Points.

Ricardo Fabbri, Timothy Duff, Hongyi Fan, Margaret H. Regan, David da Costa de Pinho, Elias P. Tsigaridas, Charles W. Wampler, Jonathan D. Hauenstein, Peter J. Giblin, Benjamin B. Kimia, Anton Leykin, Tomás Pajdla

IEEE Trans. Pattern Anal. Mach. Intell., June, 2023

Machine learning the real discriminant locus.

Edgar A. Bernal, Jonathan D. Hauenstein, Dhagash Mehta, Margaret H. Regan, Tingting Tang

J. Symb. Comput., 2023

HomOpt: A Homotopy-Based Hyperparameter Optimization Method.

Sophia J. Abraham, Kehelwala D. G. Maduranga, Jeffery Kinnison, Zachariah Carmichael, Jonathan D. Hauenstein, Walter J. Scheirer

CoRR, 2023

Numerical Nonlinear Algebra.

Daniel J. Bates, Paul Breiding, Tianran Chen, Jonathan D. Hauenstein, Anton Leykin, Frank Sottile

CoRR, 2023

Output Mode Switching for Parallel Five-bar Manipulators Using a Graph-based Path Planner.

Parker B. Edwards, Aravind Baskar, Caroline Hills, Mark M. Plecnik, Jonathan D. Hauenstein

Proceedings of the IEEE International Conference on Robotics and Automation, 2023

NCQS: Nonlinear Convex Quadrature Surrogate Hyperparameter Optimization.

Sophia J. Abraham, Kehelwala Dewage Gayan Maduranga, Jeffery Kinnison, Jonathan D. Hauenstein, Walter J. Scheirer

Proceedings of the IEEE/CVF International Conference on Computer Vision, 2023

2022

On Computing the Nonlinearity Interval in Parametric Semidefinite Optimization.

Jonathan D. Hauenstein, Ali Mohammad Nezhad, Tingting Tang, Tamás Terlaky

Math. Oper. Res., November, 2022

The Loss Surface of Deep Linear Networks Viewed Through the Algebraic Geometry Lens.

Dhagash Mehta, Tianran Chen, Tingting Tang, Jonathan D. Hauenstein

IEEE Trans. Pattern Anal. Mach. Intell., 2022

Probabilistic Saturations and Alt's Problem.

Jonathan D. Hauenstein, Martin Helmer

Exp. Math., 2022

Some interesting birational morphisms of smooth affine quadric 3-folds.

Cinzia Bisi, Jonathan D. Hauenstein, Tuyen Trung Truong

CoRR, 2022

AdaAnn: Adaptive Annealing Scheduler for Probability Density Approximation.

Emma R. Cobian, Jonathan D. Hauenstein, Fang Liu, Daniele E. Schiavazzi

CoRR, 2022

Finding Straight Line Generators Through the Approximate Synthesis of Symmetric Four-Bar Coupler Curves.

Aravind Baskar, Mark M. Plecnik, Jonathan D. Hauenstein

Proceedings of the Advances in Robot Kinematics 2022, 2022

2021

A numerical toolkit for multiprojective varieties.

Jonathan D. Hauenstein, Anton Leykin, Jose Israel Rodriguez, Frank Sottile

Math. Comput., 2021

Solving determinantal systems using homotopy techniques.

Jonathan D. Hauenstein, Mohab Safey El Din, Éric Schost, Thi Xuan Vu

J. Symb. Comput., 2021

On some configurations of oppositely charged trapped vortices in the plane.

Emilie Dufresne, Heather A. Harrington, Jonathan D. Hauenstein, Panayotis G. Kevrekidis, Paolo Tripoli

Adv. Appl. Math., 2021

Excess intersections and numerical irreducible decompositions.

Daniel J. Bates, David Eklund, Jonathan D. Hauenstein, Chris Peterson

Proceedings of the 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2021

Designing Rotary Linkages for Polar Motions.

Aravind Baskar, Chang Liu, Mark M. Plecnik, Jonathan D. Hauenstein

Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, 2021

2020

Smooth points on semi-algebraic sets.

Katherine Harris, Jonathan D. Hauenstein, Ágnes Szántó

ACM Commun. Comput. Algebra, 2020

Real monodromy action.

Jonathan D. Hauenstein, Margaret H. Regan

Appl. Math. Comput., 2020

Certified Evaluations of Hölder Continuous Functions at Roots of Polynomials.

Parker B. Edwards, Jonathan D. Hauenstein, Clifford D. Smyth

Proceedings of the Maple in Mathematics Education and Research - 4th Maple Conference, 2020

Using Monodromy to Statistically Estimate the Number of Solutions.

Jonathan D. Hauenstein, Samantha N. Sherman

Proceedings of the 2nd IMA Conference on Mathematics of Robotics, 2020

Evaluating and Differentiating a Polynomial Using a Pseudo-witness Set.

Jonathan D. Hauenstein, Margaret H. Regan

Proceedings of the Mathematical Software - ICMS 2020, 2020

TRPLP - Trifocal Relative Pose From Lines at Points.

Ricardo Fabbri, Timothy Duff, Hongyi Fan, Margaret H. Regan, David da Costa de Pinho, Elias P. Tsigaridas, Charles W. Wampler, Jonathan D. Hauenstein, Peter J. Giblin, Benjamin B. Kimia, Anton Leykin, Tomás Pajdla

Proceedings of the 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2020

2019

Singular Value Decomposition of Complexes.

Danielle A. Brake, Jonathan D. Hauenstein, Frank-Olaf Schreyer, Andrew J. Sommese, Michael Eugene Stillman

SIAM J. Appl. Algebra Geom., 2019

Trifocal Relative Pose from Lines at Points and its Efficient Solution.

Ricardo Fabbri, Timothy Duff, Hongyi Fan, Margaret H. Regan, David da Costa de Pinho, Elias P. Tsigaridas, Charles Wrampler, Jonathan D. Hauenstein, Benjamin B. Kimia, Anton Leykin, Tomás Pajdla

CoRR, 2019

Using Numerical Insights to Improve Symbolic Computations.

Jonathan D. Hauenstein

Proceedings of the 21st International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2019

Solving Critical Point Conditions for the Hamming and Taxicab Distances to Solution Sets of Polynomial Equations.

Danielle A. Brake, Noah S. Daleo, Jonathan D. Hauenstein, Samantha N. Sherman

Proceedings of the 21st International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2019

Decomposing the Parameter Space of Biological Networks via a Numerical Discriminant Approach.

Heather A. Harrington, Dhagash Mehta, Helen M. Byrne, Jonathan D. Hauenstein

Proceedings of the Maple in Mathematics Education and Research - Third Maple Conference, 2019

Sampling Real Algebraic Varieties for Topological Data Analysis.

Emilie Dufresne, Parker B. Edwards, Heather A. Harrington, Jonathan D. Hauenstein

Proceedings of the 18th IEEE International Conference On Machine Learning And Applications, 2019

2018

Exceptional Stewart-Gough Platforms, Segre Embeddings, and the Special Euclidean Group.

Jonathan D. Hauenstein, Samantha N. Sherman, Charles W. Wampler

SIAM J. Appl. Algebra Geom., 2018

Locating and Counting Equilibria of the Kuramoto Model with Rank-One Coupling.

Owen Coss, Jonathan D. Hauenstein, Hoon Hong, Daniel K. Molzahn

SIAM J. Appl. Algebra Geom., 2018

Certifying solutions to overdetermined and singular polynomial systems over ℚ.

Tulay Ayyildiz Akoglu, Jonathan D. Hauenstein, Ágnes Szántó

J. Symb. Comput., 2018

Numerical Computation of Galois Groups.

Jonathan D. Hauenstein, Jose Israel Rodriguez, Frank Sottile

Found. Comput. Math., 2018

Optimal Configurations in Coverage Control with Polynomial Costs.

Shaunak D. Bopardikar, Dhagash Mehta, Jonathan D. Hauenstein

CoRR, 2018

Adaptive strategies for solving parameterized systems using homotopy continuation.

Jonathan D. Hauenstein, Margaret H. Regan

Appl. Math. Comput., 2018

Certifying Reality of Projections.

Jonathan D. Hauenstein, Avinash Kulkarni, Emre Can Sertöz, Samantha N. Sherman

Proceedings of the Mathematical Software - ICMS 2018, 2018

polyTop: Software for Computing Topology of Smooth Real Surfaces.

Danielle A. Brake, Jonathan D. Hauenstein, Margaret H. Regan

Proceedings of the Mathematical Software - ICMS 2018, 2018

2017

Algorithm 976: Bertini_real: Numerical Decomposition of Real Algebraic Curves and Surfaces.

Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler

ACM Trans. Math. Softw., 2017

A hybrid symbolic-numerical approach to the center-focus problem.

Adam Mahdi, Claudio Gomes Pessoa, Jonathan D. Hauenstein

J. Symb. Comput., 2017

On deflation and multiplicity structure.

Jonathan D. Hauenstein, Bernard Mourrain, Ágnes Szántó

J. Symb. Comput., 2017

Unification and extension of intersection algorithms in numerical algebraic geometry.

Jonathan D. Hauenstein, Charles W. Wampler

Appl. Math. Comput., 2017

Certification Using Newton-Invariant Subspaces.

Jonathan D. Hauenstein

Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2017

Homotopies for Connected Components of Algebraic Sets with Application to Computing Critical Sets.

Daniel J. Bates, Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler

Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2017

2016

Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials.

Daniel J. Bates, Jonathan D. Hauenstein, Matthew E. Niemerg, Frank Sottile

Numer. Algorithms, 2016

Certified predictor-corrector tracking for Newton homotopies.

Jonathan D. Hauenstein, Alan C. Liddell Jr.

J. Symb. Comput., 2016

Numerically deciding the arithmetically Cohen-Macaulayness of a projective scheme.

Noah S. Daleo, Jonathan D. Hauenstein

J. Symb. Comput., 2016

A Primal-Dual Formulation for Certifiable Computations in Schubert Calculus.

Jonathan D. Hauenstein, Nickolas Hein, Frank Sottile

Found. Comput. Math., 2016

Complexity of Linear Circuits and Geometry.

Fulvio Gesmundo, Jonathan D. Hauenstein, Christian Ikenmeyer, J. M. Landsberg

Found. Comput. Math., 2016

Investigating the Maximum Number of Real Solutions to the Power Flow Equations: Analysis of Lossless Four-Bus Systems.

Daniel K. Molzahn, Matthew E. Niemerg, Dhagash Mehta, Jonathan D. Hauenstein

CoRR, 2016

Numerically validating the completeness of the real solution set of a system of polynomial equations.

Daniel A. Brake, Jonathan D. Hauenstein, Alan C. Liddell Jr.

CoRR, 2016

Validating the Completeness of the Real Solution Set of a System of Polynomial Equations.

Daniel A. Brake, Jonathan D. Hauenstein, Alan C. Liddell Jr.

Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, 2016

Decomposing Solution Sets of Polynomial Systems Using Derivatives.

Daniel A. Brake, Jonathan D. Hauenstein, Alan C. Liddell Jr.

Proceedings of the Mathematical Software - ICMS 2016, 2016

2015

Experiments on the Zeros of Harmonic Polynomials Using Certified Counting.

Jonathan D. Hauenstein, Antonio Lerario, Erik Lundberg, Dhagash Mehta

Exp. Math., 2015

Numerically Testing Generically Reduced Projective Schemes for the Arithmetic Gorenstein Property.

Noah S. Daleo, Jonathan D. Hauenstein

Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2015

Numerical Local Irreducible Decomposition.

Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese

Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2015

Certifying Isolated Singular Points and their Multiplicity Structure.

Jonathan D. Hauenstein, Bernard Mourrain, Ágnes Szántó

Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation, 2015

A hybrid symbolic-numeric approach to exceptional sets of generically zero-dimensional systems.

Jonathan D. Hauenstein, Alan C. Liddell Jr.

Proceedings of the 2015 International Workshop on Parallel Symbolic Computation, 2015

2014

Newton Polytopes and Witness Sets.

Jonathan D. Hauenstein, Frank Sottile

Math. Comput. Sci., 2014

A bootstrapping approach for computing multiple solutions of differential equations.

Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Andrew J. Sommese

J. Comput. Appl. Math., 2014

Global Newton Iteration over Archimedean and non-Archimedean Fields.

Jonathan D. Hauenstein, Victor Y. Pan, Ágnes Szántó

CoRR, 2014

Certified counting of roots of random univariate polynomials.

Joseph Cleveland, Jeffrey Dzugan, Jonathan D. Hauenstein, Ian Haywood, Dhagash Mehta, Anthony Morse, Leonardo Robol, Taylor Schlenk

CoRR, 2014

Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety.

Daniel J. Bates, Wolfram Decker, Jonathan D. Hauenstein, Chris Peterson, Gerhard Pfister, Frank-Olaf Schreyer, Andrew J. Sommese, Charles W. Wampler

Appl. Math. Comput., 2014

An <i>a posteriori</i> certification algorithm for Newton homotopies.

Jonathan D. Hauenstein, Ian Haywood, Alan C. Liddell Jr.

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2014

Bertini_real: Software for One- and Two-Dimensional Real Algebraic Sets.

Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler

Proceedings of the Mathematical Software - ICMS 2014, 2014

On Computing a Cell Decomposition of a Real Surface Containing Infinitely Many Singularities.

Daniel J. Bates, Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler

Proceedings of the Mathematical Software - ICMS 2014, 2014

A Note on Global Newton Iteration Over Archimedean and Non-Archimedean Fields.

Jonathan D. Hauenstein, Victor Y. Pan, Ágnes Szántó

Proceedings of the Computer Algebra in Scientific Computing - 16th International Workshop, 2014

2013

Cell decomposition of almost smooth real algebraic surfaces.

Gian Mario Besana, Sandra Di Rocco, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler

Numer. Algorithms, 2013

A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws.

Wenrui Hao, Jonathan D. Hauenstein, Chi-Wang Shu, Andrew J. Sommese, Zhiliang Xu, Yong-Tao Zhang

J. Comput. Phys., 2013

Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation.

Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Timothy M. McCoy, Andrew J. Sommese

J. Comput. Appl. Math., 2013

Isosingular Sets and Deflation.

Jonathan D. Hauenstein, Charles W. Wampler

Found. Comput. Math., 2013

Equations for Lower Bounds on Border Rank.

Jonathan D. Hauenstein, Christian Ikenmeyer, J. M. Landsberg

Exp. Math., 2013

Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry.

Daniel J. Bates, Jonathan D. Hauenstein, Timothy M. McCoy, Chris Peterson, Andrew J. Sommese

Exp. Math., 2013

Computer aided methods for lower bounds on the border rank

Jonathan D. Hauenstein, Christian Ikenmeyer, J. M. Landsberg

CoRR, 2013

Numerically intersecting algebraic varieties via witness sets.

Jonathan D. Hauenstein, Charles W. Wampler

Appl. Math. Comput., 2013

Membership tests for images of algebraic sets by linear projections.

Jonathan D. Hauenstein, Andrew J. Sommese

Appl. Math. Comput., 2013

Numerically Solving Polynomial Systems with Bertini.

Daniel J. Bates, Andrew J. Sommese, Jonathan D. Hauenstein, Charles W. Wampler

Software, environments, tools 25, SIAM, ISBN: 978-1-611972-69-6, 2013

2012

Algorithm 921: alphaCertified: Certifying Solutions to Polynomial Systems.

Jonathan D. Hauenstein, Frank Sottile

ACM Trans. Math. Softw., 2012

Continuation Along Bifurcation Branches for a Tumor Model with a Necrotic Core.

Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Yuan Liu, Andrew J. Sommese, Yong-Tao Zhang

J. Sci. Comput., 2012

2011

Efficient path tracking methods.

Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese

Numer. Algorithms, 2011

Regeneration homotopies for solving systems of polynomials.

Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler

Math. Comput., 2011

Regenerative cascade homotopies for solving polynomial systems.

Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler

Appl. Math. Comput., 2011

A three-dimensional steady-state tumor system.

Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Andrew J. Sommese

Appl. Math. Comput., 2011

2010

alphaCertified: certifying solutions to polynomial systems

Jonathan D. Hauenstein, Frank Sottile

CoRR, 2010

Witness sets of projections.

Jonathan D. Hauenstein, Andrew J. Sommese

Appl. Math. Comput., 2010

2009

A Numerical Local Dimension Test for Points on the Solution Set of a System of Polynomial Equations.

Daniel J. Bates, Jonathan D. Hauenstein, Chris Peterson, Andrew J. Sommese

SIAM J. Numer. Anal., 2009

2008

Adaptive Multiprecision Path Tracking.

Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler

SIAM J. Numer. Anal., 2008