4 citations · 4 across the 4 of their papers we have counts for
6 papers
Spirometry-based airways disease simulation and recognition using Machine Learning approaches
Riccardo Dio, André Galligo, Angelos Mantzaflaris +1
The purpose of this study is to provide means to physicians for automated and fast recognition of airways diseases. In this work, we mainly focus on measures that can be easily rec…
Koszul-type determinantal formulas for families of mixed multilinear systems
Matías R. Bender, Jean-Charles Faugère, Angelos Mantzaflaris +1
Effective computation of resultants is a central problem in elimination theory and polynomial system solving. Commonly, we compute the resultant as a quotient of determinants of ma…
Completeness characterization of Type-I box splines
Nelly Villamizar, Angelos Mantzaflaris, Bert Jüttler
We present a completeness characterization of box splines on three-directional triangulations, also called Type-I box spline spaces, based on edge-contact smoothness properties. Fo…
Punctual Hilbert Schemes and Certified Approximate Singularities
Angelos Mantzaflaris, Bernard Mourrain, Agnes Szanto
In this paper we provide a new method to certify that a nearby polynomial system has a singular isolated root with a prescribed multiplicity structure. More precisely, given a poly…
Bilinear systems with two supports: Koszul resultant matrices, eigenvalues, and eigenvectors
Matías Bender, Jean-Charles Faugère, Angelos Mantzaflaris +1
A fundamental problem in computational algebraic geometry is the computation of the resultant. A central question is when and how to compute it as the determinant of a matrix. whos…
Deflation and Certified Isolation of Singular Zeros of Polynomial Systems
Angelos Mantzaflaris, Bernard Mourrain
We develop a new symbolic-numeric algorithm for the certification of singular isolated points, using their associated local ring structure and certified numerical computations. An…