6 citations · 44 across the 16 of their papers we have counts for
18 papers
Tropical Bisectors and Carlini-Wagner Attacks
Gillian Grindstaff, Julia Lindberg, Daniela Schkoda +2
Pasque et al. showed that using a tropical symmetric metric as an activation function in the last layer can improve the robustness of convolutional neural networks (CNNs) against s…
The toric locus of a reaction network is a smooth manifold
Gheorghe Craciun, Jiaxin Jin, Miruna-Stefana Sorea
We show that the toric locus of a reaction network is a smoothly embedded submanifold of the Euclidean space. More precisely, we prove that the toric locus of a reaction network is…
Combinatorial study of morsifications of real univariate singularities
Arnaud Bodin, Evelia Rosa García Barroso, Patrick Popescu-Pampu +1
We study a broad class of morsifications of germs of univariate real analytic functions. We characterize the combinatorial types of the resulting Morse functions, via planar contac…
The structure of the moduli spaces of toric dynamical systems
Gheorghe Craciun, Jiaxin Jin, Miruna-Stefana Sorea
We consider complex-balanced mass-action systems, or toric dynamical systems. They are remarkably stable polynomial dynamical systems arising from reaction networks seen as Euclide…
Poincaré-Reeb graphs of real algebraic domains
Arnaud Bodin, Patrick Popescu-Pampu, Miruna-Stefana Sorea
An algebraic domain is a closed topological subsurface of a real affine plane whose boundary consists of disjoint smooth connected components of real algebraic plane curves. We stu…
The disguised toric locus and affine equivalence of reaction networks
Sabina J. Haque, Matthew Satriano, Miruna-Stefana Sorea +1
Under the assumption of mass-action kinetics, a dynamical system may be induced by several different reaction networks and/or parameters. It is therefore possible for a mass-action…
Symmetrically colored Gaussian graphical models with toric vanishing ideal
Jane Ivy Coons, Aida Maraj, Pratik Misra +1
A colored Gaussian graphical model is a linear concentration model in which equalities among the concentrations are specified by a coloring of an underlying graph. The model is cal…
Families of polytopes with rational linear precision in higher dimensions
Isobel Davies, Eliana Duarte, Irem Portakal +1
In this article we introduce a new family of lattice polytopes with rational linear precision. For this purpose, we define a new class of discrete statistical models that we call m…
Adjoints and Canonical Forms of Polypols
Kathlén Kohn, Ragni Piene, Kristian Ranestad +5
Polypols are natural generalizations of polytopes, with boundaries given by nonlinear algebraic hypersurfaces. We describe polypols in the plane and in 3-space that admit a unique…
A generalization of the space of complete quadrics
Abeer Al Ahmadieh, Mario Kummer, Miruna-Stefana Sorea
To any homogeneous polynomial we naturally associate a variety which maps birationally onto the graph of the gradient map and which agrees with the space…
The structure of the moduli space of toric dynamical systems of a reaction network
Gheorghe Craciun, Jiaxin Jin, Miruna-Stefana Sorea
We consider toric dynamical systems, which are also called complex-balanced mass-action systems. These are remarkably stable polynomial dynamical systems that arise from the analys…
Disguised toric dynamical systems
Laura Brustenga i Moncusí, Gheorghe Craciun, Miruna-Stefana Sorea
We study families of polynomial dynamical systems inspired by biochemical reaction networks. We focus on complex balanced mass-action systems, which have also been called toric. Th…
Exact Solutions in Log-Concave Maximum Likelihood Estimation
Alexandros Grosdos, Alexander Heaton, Kaie Kubjas +3
We study probability density functions that are log-concave. Despite the space of all such densities being infinite-dimensional, the maximum likelihood estimate is the exponential…
A quadratic identity in the shuffle algebra and an alternative proof for de Bruijn's formula
Laura Colmenarejo, Joscha Diehl, Miruna-Stefana Sorea
Motivated by a polynomial identity of certain iterated integrals, first observed in [CGM20] in the setting of lattice paths, we prove an intriguing combinatorial identity in the sh…
Permutations encoding the local shape of level curves of real polynomials via generic projections
Miruna-Stefana Sorea
The non-convexity of a smooth and compact connected component of a real algebraic plane curve can be measured by a combinatorial object called the Poincare-Reeb tree associated to…
On the eigenpoints of cubic surfaces
Türkü Özlüm Celik, Francesco Galuppi, Avinash Kulkarni +1
We show that the eigenschemes of symmetric tensors are parametrized by a linear subvariety of the Grassmannian . We also…
Measuring the local non-convexity of real algebraic curves
Miruna-Stefana Sorea
The goal of this paper is to measure the non-convexity of compact and smooth connected components of real algebraic plane curves. We study these curves first in a general setting a…
Constructing Separable Arnold Snakes of Morse Polynomials
Miruna-Stefana Sorea
We give a new and constructive proof of the existence of a special class of univariate polynomials whose graphs have preassigned shapes. By definition, all the critical points of a…