Eric Hanson

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All published works

Action	Title	Year	Authors
+	Persistence Images: A Stable Vector Representation of Persistent Homology	2015	Henry Adams Sofya Chepushtanova Tegan Emerson Eric Hanson Michael Kirby Francis C. Motta Rachel Neville Chris Peterson Patrick D. Shipman Lori Ziegelmeier
+	Persistence Images: A Stable Vector Representation of Persistent Homology	2015	Henry Adams Tegan Emerson Michael Kirby Rachel Neville Chris Peterson Patrick D. Shipman Sofya Chepushtanova Eric Hanson Francis C. Motta Lori Ziegelmeier
+	Perturbed homotopies for finding all isolated solutions of polynomial systems	2014	Daniel J. Bates Brent Davis David Eklund Eric Hanson Chris Peterson
+	Perturbed Regeneration for Finding All Isolated Solutions of Polynomial Systems	2013	Daniel J. Bates Brent Davis David Eklund Eric Hanson Chris Peterson
+	On the Strengthening of Topological Signals in Persistent Homology through Vector Bundle Based Maps	2012	Eric Hanson Francis C. Motta Chris Peterson Lori Ziegelmeier
+	On using numerical algebraic geometry to find Lyapunov functions of polynomial dynamical systems	2010	Eric Hanson

Common Coauthors

Coauthor	Papers Together
Chris Peterson	5
Francis C. Motta	3
Lori Ziegelmeier	3
Michael Kirby	2
Tegan Emerson	2
David Eklund	2
Sofya Chepushtanova	2
Daniel J. Bates	2
Rachel Neville	2
Brent Davis	2
Henry Adams	2
Patrick D. Shipman	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Algebraic topology	2001	Allen Hatcher	3
+ PDF Chat	Barcodes: The persistent topology of data	2007	Robert Ghrist	3
+ PDF Chat	A Numerical Local Dimension Test for Points on the Solution Set of a System of Polynomial Equations	2009	Daniel J. Bates Jonathan D. Hauenstein Chris Peterson Andrew J. Sommese	2
+	Persistent homology analysis of brain artery trees	2016	Paul Bendich J. S. Marron Ezra Miller Alex Pieloch Sean Skwerer	2
+	Statistical topological data analysis using persistence landscapes	2015	Peter Bubenik	2
+ PDF Chat	Algorithm 795	1999	Jan Verschelde	2
+	Modified deflation algorithm for the solution of singular problems. I. A system of nonlinear algebraic equations	1987	Takeo Ojika	2
+ PDF Chat	Numerically Computing Real Points on Algebraic Sets	2012	Jonathan D. Hauenstein	2
+ PDF Chat	A stable multi-scale kernel for topological machine learning	2015	Jan Reininghaus Stefan Huber Ulrich Bauer Roland Kwitt	2
+	Homotopies Exploiting Newton Polytopes for Solving Sparse Polynomial Systems	1994	Jan Verschelde Pierre Verlinden Ronald Cools	2
+ PDF Chat	Stability of Persistence Diagrams	2006	David Cohen‐Steiner Herbert Edelsbrunner John Harer	2
+	Probability measures on the space of persistence diagrams	2011	Yuriy Mileyko Sayan Mukherjee John Harer	2
+	Kinetic roughening of vicinal surfaces	1991	Dietrich E. Wolf	2
+ PDF Chat	Higher-Order Deflation for Polynomial Systems With Isolated Singular Solutions	2008	Anton Leykin Jan Verschelde Ailing Zhao	2
+	Deflation algorithm for the multiple roots of a system of nonlinear equations	1983	Takeo Ojika Satoshi Watanabe Taketomo Mitsui	2
+	Newton's method with deflation for isolated singularities of polynomial systems	2006	Anton Leykin Jan Verschelde Ailing Zhao	2
+ PDF Chat	Isosingular Sets and Deflation	2013	Jonathan D. Hauenstein Charles W. Wampler	2
+ PDF Chat	Regenerative cascade homotopies for solving polynomial systems	2011	Jonathan D. Hauenstein Andrew J. Sommese Charles W. Wampler	2
+ PDF Chat	Regeneration homotopies for solving systems of polynomials	2010	Jonathan D. Hauenstein Andrew J. Sommese Charles W. Wampler	2
+	An application of the runge-kutta space	1984	J. C. Butcher	2
+ PDF Chat	A Polyhedral Method for Solving Sparse Polynomial Systems	1995	Birkett Huber Bernd Sturmfels	2
+ PDF Chat	Topological Data Analysis of Biological Aggregation Models	2015	Chad M. Topaz Lori Ziegelmeier Tom Halverson	2
+	Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis	2013	José A. Perea John Harer	1
+	Topological descriptors for 3D surface analysis	2016	Matthias Zeppelzauer Bartosz Zieliński Mateusz Juda Markus Seidl	1
+	Comparing persistence diagrams through complex vectors	2015	Barbara Di Fabio Massimo Ferri	1
+ PDF Chat	The ring of algebraic functions on persistence bar codes	2016	Aaron Adcock Erik Carlsson Gunnar Carlsson	1
+ PDF Chat	Topological and statistical behavior classifiers for tracking applications	2016	Paul Bendich Sang Chin Jesse Clark Jonathan T. DeSena John Harer Elizabeth Munch Andrew Newman David W. Porter David Rouse Nate Strawn	1
+ PDF Chat	Tropical Coordinates on the Space of Persistence Barcodes	2018	Sara Kališnik	1
+	Feature-aided multiple hypothesis tracking using topological and statistical behavior classifiers	2015	David Rouse Adam Watkins David W. Porter John Harer Paul Bendich Nate Strawn Elizabeth Munch Jonathan T. DeSena Jesse Clarke Jeffrey Gilbert	1
+	Nonlinear Differential Equations and Dynamical Systems	1990	Ferdinand Verhulst	1
+ PDF Chat	A polyhedral method for solving sparse polynomial systems	1995	Birkett Huber Bernd Sturmfels	1
+	書評「T. Kaczynski, K. Mischaikow, and M. Mrozek:Computational Homology (Applied Mathematical Sciences 157, Springer-Verlag, 2004 年, 480 ページ)」	2005	裕章平岡貴之坂上	1
+ PDF Chat	Probabilistic Fréchet means for time varying persistence diagrams	2015	Elizabeth Munch Katharine Turner Paul Bendich Sayan Mukherjee Jonathan C. Mattingly John Harer	1
+	A persistence landscapes toolbox for topological statistics	2016	Peter Bubenik Paweł Dłotko	1
+ PDF Chat	Jordan's principal angles in complex vector spaces	2006	Aurél Galántai Cs. Hegedüs	1
+ PDF Chat	Gröbner Techniques for Low-Degree Hilbert Stability	2011	Ian Morrison David Swinarski	1
+	Some examples for solving systems of algebraic equations by calculating groebner bases	1986	W. Boege R. Gebauer Heinz Kredel	1
+ PDF Chat	Persistence stability for geometric complexes	2013	Frédéric Chazal Vin de Silva Steve Oudot	1
+ PDF Chat	Dynamic Scaling of Ion-Sputtered Surfaces	1995	Rodolfo Cuerno Albert‐László Barabási	1
+ PDF Chat	Numerical methods for computing angles between linear subspaces	1973	Åke Björck Gene H. Golub	1
+	Can You Play a Fair Game of Craps with a Loaded Pair of Dice?	2016	Ian Morrison David Swinarski	1
+ PDF Chat	Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis	2014	José A. Perea John Harer	1
+	The Cheater’s Homotopy: An Efficient Procedure for Solving Systems of Polynomial Equations	1989	T. Y. Li Timothy Sauer James A. Yorke	1
+	Lipschitz Functions Have L p -Stable Persistence	2010	David Cohen‐Steiner Herbert Edelsbrunner John Harer Yuriy Mileyko	1
+ PDF Chat	Computing Persistent Homology	2004	Afra Zomorodian Gunnar Carlsson	1
+ PDF Chat	Existence of Solutions for the Debye-Hückel System with Low Regularity Initial Data	2012	Jihong Zhao Qiao Liu Shangbin Cui	1
+	Bounds on packings of spheres in the Grassmann manifold	2002	Alexander Barg D. Yu. Nogin	1
+ PDF Chat	Producing nanodot arrays with improved hexagonal order by patterning surfaces before ion sputtering	2015	Daniel A. Pearson R. Mark Bradley Francis C. Motta Patrick D. Shipman	1
+	Statistical Analysis of Persistence Intensity Functions	2015	Yen‐Chi Chen Daren Wang Alessandro Rinaldo Larry Wasserman	1
+	Topological and Statistical Behavior Classifiers for Tracking Applications	2014	Paul Bendich Sang Chin Jesse Clarke Jonathan T. DeSena John Harer Elizabeth Munch Andrew Newman David W. Porter David Rouse Nate Strawn	1