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Articles by Paul Breiding

Probabilistic intersection theory in Riemannian homogeneous spaces
12 February 2025 by Paul Breiding and others
Differential Geometry, Algebraic Geometry
Computing Arrangements of Hypersurfaces
15 September 2024 by Paul Breiding and others
Mathematical Software, Computational Geometry
Critical Curvature of Algebraic Surfaces in Three-Space
18 July 2024 by Paul Breiding and others
Algebraic Geometry
A short proof for the parameter continuation theorem
17 July 2024 by Viktoriia Borovik and Paul Breiding
Algebraic Geometry, Numerical Analysis
Certifying zeros of polynomial systems using interval arithmetic
11 July 2024 by Paul Breiding and others
Algebraic Geometry
Typical ranks of random order-three tensors
11 July 2024 by Paul Breiding and others
Algebraic Geometry
Algebraic compressed sensing
24 June 2024 by Paul Breiding and others
Numerical Analysis, Information Theory
Line Multiview Ideals
23 April 2024 by Paul Breiding and others
Algebraic Geometry
Reach of Segre-Veronese Manifolds
23 April 2024 by Paul Breiding and Sarah Eggleston
Algebraic Geometry, Differential Geometry
Numerical Nonlinear Algebra
7 March 2024 by Daniel Bates and others
Algebraic Geometry, Numerical Analysis
Degree of the subspace variety
19 February 2024 by Paul Breiding and Pierpaola Santarsiero
Algebraic Geometry
Average degree of the essential variety
10 November 2023 by Paul Breiding and others
Algebraic Geometry, Computer Vision and Pattern Recognition
Khovanskii bases for semimixed systems of polynomial equations -- a case of approximating stationary nonlinear Newtonian dynamics
13 June 2023 by Viktoriia Borovik and others
Algebraic Geometry, Soft Condensed Matter
Line Multiview Varieties
18 November 2022 by Paul Breiding and others
Algebraic Geometry
Real circles tangent to 3 conics
13 November 2022 by Paul Breiding and others
Algebraic Geometry
The average condition number of most tensor rank decomposition problems is infinite
20 September 2022 by Carlos Beltrán and others
Numerical Analysis
The Algebraic Degree of Coupled Oscillators
17 August 2022 by Paul Breiding and others
Algebraic Geometry
Facet volumes of polytopes
15 December 2021 by Pavle V. M. Blagojevic and others
Combinatorics, Algebraic Geometry
The zonoid algebra, generalized mixed volumes, and random determinants
21 October 2021 by Paul Breiding and others
Metric Geometry
Equations for GL invariant families of polynomials
13 October 2021 by Paul Breiding and others
Commutative Algebra, Algebraic Geometry
Three decompositions of symmetric tensors have similar condition numbers
8 October 2021 by Nick Dewaele and others
Numerical Analysis
Nonlinear Algebra and Applications
6 October 2021 by Paul Breiding and others
Algebraic Geometry
Sensitivity of low-rank matrix recovery
5 October 2021 by Paul Breiding and Nick Vannieuwenhoven
Numerical Analysis
The condition number of many tensor decompositions is invariant under Tucker compression
24 June 2021 by Nick Dewaele and others
Numerical Analysis
Euclidean distance degree and mixed volume
30 May 2021 by Paul Breiding and others
Algebraic Geometry
Quantitative singularity theory for random polynomials
20 August 2020 by Paul Breiding and others
Algebraic Geometry, Probability
An algebraic geometry perspective on topological data analysis
6 January 2020 by Paul Breiding
Algebraic Geometry, Algebraic Topology
A theory of condition for approximation problems
13 December 2019 by Paul Breiding and Nick Vannieuwenhoven
Numerical Analysis
3264 Conics in a Second
5 September 2019 by Paul Breiding and others
Algebraic Geometry
Random points on an algebraic manifold
26 June 2019 by Paul Breiding and Orlando Marigliano
Algebraic Geometry
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