OOIR: Observatory of International Research

Papers

(The median citation count of SIAM Journal on Applied Algebra and Geometry is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-02-01 to 2025-02-01.)

Article	Citations
Decomposable Context-Specific Models	25
Erratum for “Morphisms of Neural Codes''	11
Explicit Non-special Divisors of Small Degree, Algebraic Geometric Hulls, and LCD Codes from Kummer Extensions	11
Differential Equations for Gaussian Statistical Models with Rational Maximum Likelihood Estimator	11
CoBarS: Fast Reweighted Sampling for Polygon Spaces in Any Dimension	10
Complete ${\boldsymbol{SE(3)}}$ Invariants for a Comeagre Set of ${\boldsymbol{C^3}}$ Compact Orientable Surfaces in $\mathbb{R}^{\boldsymbol{3}}$	8
Existence of Two View Chiral Reconstructions	5
Bayesian Integrals on Toric Varieties	5
Tensor Decompositions with Applications to Local Unitary and Stochastic Local Operations and Classical Communication Equivalence of Multipartite Pure States	4
The Barycenter in Free Nilpotent Lie Groups and Its Application to Iterated-Integrals Signatures	4
Signatures, Lipschitz-Free Spaces, and Paths of Persistence Diagrams	4
Whitney Numbers of Combinatorial Geometries and Higher-Weight Dowling Lattices	4
Geometry of the Signed Support of a Multivariate Polynomial and Descartes’ Rule of Signs	4
Algebraic Experimental Design: Theory and Computation	4
The Maximum Likelihood Degree of Sparse Polynomial Systems	4
On Tensors That Are Determined by Their Singular Tuples	4
Symmetry Reduction to Optimize a Graph-based Polynomial From Queueing Theory	4
A General Model for Wildfire Propagation with Wind and Slope	4
A Random Copositive Matrix Is Completely Positive with Positive Probability	4
Enumerating Isotopy Classes of Tilings Guided by the Symmetry of Triply Periodic Minimal Surfaces	3
Phylogenomic Models from Tree Symmetries	3
On Transversality of Bent Hyperplane Arrangements and the Topological Expressiveness of ReLU Neural Networks	3
Nonnegative Polynomials and Circuit Polynomials	3
Reduction by Symmetry in Obstacle Avoidance Problems on Riemannian Manifolds	3
Coupled Cluster Theory: Toward an Algebraic Geometry Formulation	2

Computing the Conley Index: A Cautionary Tale	2
Sharp Bounds for the Number of Regions of Maxout Networks and Vertices of Minkowski Sums	2
Tropical Time Series, Iterated-Sums Signatures, and Quasisymmetric Functions	1
Computing Geometric Feature Sizes for Algebraic Manifolds	1
Function Space and Critical Points of Linear Convolutional Networks	1
Theorems of Carathéodory, Minkowski–Weyl, and Gordan up to Symmetry	1
Optimal Encodings to Elliptic Curves of $\boldsymbol{j}$-Invariants 0, 1728	1
Orbit Spaces of Weyl Groups Acting on Compact Tori: A Unified and Explicit Polynomial Description	1
The Subrank of a Complex Symmetric Tensor Can Exceed its Symmetric Subrank	1
Generic Symmetry-Forced Infinitesimal Rigidity: Translations and Rotations	1
Isometry-Dual Flags of Many-Point AG Codes	1
Symmetrically Colored Gaussian Graphical Models with Toric Vanishing Ideals	1
Geometric Approaches to Persistent Homology	1
On the Stability of Multigraded Betti Numbers and Hilbert Functions	1
Bivariate Splines on a Triangulation with a Single Totally Interior Edge	1
Hulls of Projective Reed–Muller Codes over the Projective Plane	1
Gaussian Likelihood Geometry of Projective Varieties	1
Differential Elimination for Dynamical Models via Projections with Applications to Structural Identifiability	1
The Polyhedral Geometry of Pivot Rules and Monotone Paths	1
Analog Category and Complexity	1
Degree Bounds for Putinar’s Positivstellensatz on the Hypercube	1
Erratum: A Counterexample to Comon’s Conjecture	0
A New Bound for the Waring Rank of Monomials	0
Clubs and Their Applications	0
Corrigendum: Invariant Theory and Scaling Algorithms for Maximum Likelihood Estimation	0
The Algebraic Boundary of the Sonc-Cone	0
Construction of Good Codes from Weak del Pezzo Surfaces	0
A Gap in the Subrank of Tensors	0
Generalized Permutahedra and Optimal Auctions	0
Harmonic Persistent Homology	0
Equidistant Circular Split Networks	0
Multitriangulations and Tropical Pfaffians	0
Circular Planar Electrical Networks, Split Systems, and Phylogenetic Networks	0
Reduction by Symmetries of Contact Mechanical Systems on Lie Groups	0
Learning Polytopes with Fixed Facet Directions	0
Orbit Recovery for Band-Limited Functions	0
A Sum of Squares Characterization of Perfect Graphs	0
Multi-experiment Parameter Identifiability of ODEs and Model Theory	0
Computing Minimal Presentations and Bigraded Betti Numbers of 2-Parameter Persistent Homology	0
Computing the Conformal Barycenter	0
Irrational Quantum Walks	0
The Service Rate Region Polytope	0
Robust Geometric Modeling of 3-Periodic Tensegrity Frameworks Using Riemannian Optimization	0
Higher-Degree Symmetric Rank-Metric Codes	0
On the Central Path of Semidefinite Optimization: Degree and Worst-Case Convergence Rate	0
Topological Properties of Network Spring Models that Determine Terminal Distributions of Plastic Deformations	0
Santaló Geometry of Convex Polytopes	0
A Quiver Invariant Theoretic Approach to Radial Isotropy and the Paulsen Problem for Matrix Frames	0
$\mathbb{F}_q$-Zeros of Sparse Trivariate Polynomials and Toric 3-Fold Codes	0
Galois/Monodromy Groups for Decomposing Minimal Problems in 3D Reconstruction	0

Complex Links and Hilbert–Samuel Multiplicities	0
Sum-of-Squares Certificates for Copositivity via Test States	0
The Projectivization Matroid of a $\boldsymbol{q}$ -Matroid	0
Line Multiview Varieties	0
A Lower Bound on the Dimension of the ${\mathbb{R}}$-Disguised Toric Locus of a Reaction Network	0
Geometric Averages of Partitioned Datasets	0
Common Complements of Linear Subspaces and the Sparseness of MRD Codes	0
Volumes of Sublevel Sets of Nonnegative Forms and Complete Monotonicity	0
Kernel Approximation on Algebraic Varieties	0
Finiteness of Spatial Central Configurations with Fixed Subconfigurations	0
Tangent Space and Dimension Estimation with the Wasserstein Distance	0
What Is the Probability That a Random Symmetric Tensor Is Close to Rank-One?	0
Force-Free Fields Are Conformally Geodesic	0
Computing Circuit Polynomials in the Algebraic Rigidity Matroid	0
Decomposition Algorithms for Tensors and Polynomials	0
On the Density of Eigenvalues on Periodic Graphs	0
Abstract Vergleichsstellensätze for Preordered Semifields and Semirings I	0
Edit Distance and Persistence Diagrams over Lattices	0
Flat Tori with Large Laplacian Eigenvalues in Dimensions up to Eight	0
Persistent Homology of Semialgebraic Sets	0
Geometry of Linear Convolutional Networks	0
Area Formula for Spherical Polygons via Prequantization	0
Toric and Non-toric Bayesian Networks	0
Algebraic Perspectives on Signomial Optimization	0
Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations	0

Complex Links and Hilbert–Samuel Multiplicities	0
Sum-of-Squares Certificates for Copositivity via Test States	0
The Projectivization Matroid of a \(\boldsymbol{q}\) -Matroid	0
Line Multiview Varieties	0
A Lower Bound on the Dimension of the \({\mathbb{R}}\)-Disguised Toric Locus of a Reaction Network	0
Geometric Averages of Partitioned Datasets	0
Common Complements of Linear Subspaces and the Sparseness of MRD Codes	0
Volumes of Sublevel Sets of Nonnegative Forms and Complete Monotonicity	0
Kernel Approximation on Algebraic Varieties	0
Finiteness of Spatial Central Configurations with Fixed Subconfigurations	0
Tangent Space and Dimension Estimation with the Wasserstein Distance	0
What Is the Probability That a Random Symmetric Tensor Is Close to Rank-One?	0
Force-Free Fields Are Conformally Geodesic	0
Computing Circuit Polynomials in the Algebraic Rigidity Matroid	0
Decomposition Algorithms for Tensors and Polynomials	0
On the Density of Eigenvalues on Periodic Graphs	0
Abstract Vergleichsstellensätze for Preordered Semifields and Semirings I	0
Edit Distance and Persistence Diagrams over Lattices	0
Flat Tori with Large Laplacian Eigenvalues in Dimensions up to Eight	0
Persistent Homology of Semialgebraic Sets	0
Geometry of Linear Convolutional Networks	0
Area Formula for Spherical Polygons via Prequantization	0
Toric and Non-toric Bayesian Networks	0
Algebraic Perspectives on Signomial Optimization	0
Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations	0