Luis M. Pardo

Orcid: 0000-0003-2715-4432

Affiliations:
  • University of Cantabria, Santander, Spain


According to our database1, Luis M. Pardo authored at least 49 papers between 1987 and 2024.

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Bibliography

2024
Exploring implications of Trace (Inversion) formula and Artin algebras in extremal combinatorics.
Appl. Algebra Eng. Commun. Comput., January, 2024

2023
An unfeasibility view of neural network learning.
J. Complex., April, 2023

2022
A promenade through correct test sequences I: Degree of constructible sets, Bézout's Inequality and density.
J. Complex., 2022

An unfeasability view of neural network learning.
CoRR, 2022

2021
On Bézout inequalities for non-homogeneous polynomial ideals.
J. Symb. Comput., 2021

2020
Special Issue: "Algebraic Geometry from an Algorithmic Point of View", ACA 2019, Montréal, Canada, July 16-20, 2019.
Appl. Algebra Eng. Commun. Comput., 2020

Intrinsic Complexity for Constructing Zero-Dimensional Gröbner Bases.
Proceedings of the Computer Algebra in Scientific Computing - 22nd International Workshop, 2020

2016
Behavioral Modeling Based on Probabilistic Finite Automata: An Empirical Study.
Sensors, 2016

Quiz games as a model for information hiding.
J. Complex., 2016

On the zeta Mahler measure function of the Jacobian determinant, condition numbers and the height of the generic discriminant.
Appl. Algebra Eng. Commun. Comput., 2016

2014
A Sharp Fitness Function for the Problem of Finding Roots of Polynomial Equations Systems.
Proceedings of the ECTA 2014, 2014

2013
An Arithmetic Poisson Formula for the multi-variate resultant.
J. Complex., 2013

2012
Spherical Radon transform and the average of the condition number on certain Schubert subvarieties of a Grassmannian.
J. Complex., 2012

Algorithms of Intrinsic Complexity for Point Searching in Compact Real Singular Hypersurfaces.
Found. Comput. Math., 2012

2011
Fast Linear Homotopy to Find Approximate Zeros of Polynomial Systems.
Found. Comput. Math., 2011

2010
Effective methods in algebraic geometry 2009: Barcelona. Guest editors' foreword.
J. Symb. Comput., 2010

2009
Effective methods in algebraic geometry.
J. Symb. Comput., 2009

On the intrinsic complexity of point finding in real singular hypersurfaces.
Inf. Process. Lett., 2009

On the Vapnik-Chervonenkis dimension of computer programs which use transcendental elementary operations.
Ann. Math. Artif. Intell., 2009

2008
On the probability distribution of data at points in real complete intersection varieties.
J. Complex., 2008

On Smale's 17th Problem: A Probabilistic Positive Solution.
Found. Comput. Math., 2008

VC Dimension Bounds for Analytic Algebraic Computations.
Proceedings of the Computing and Combinatorics, 14th Annual International Conference, 2008

2007
On the probability distribution of condition numbers of complete intersection varieties and the average radius of convergence of Newton's method in the underdetermined case.
Math. Comput., 2007

On the probability distribution of singular varieties of given corank.
J. Symb. Comput., 2007

Estimates on the Distribution of the Condition Number of Singular Matrices.
Found. Comput. Math., 2007

2005
Generalized polar varieties: geometry and algorithms.
J. Complex., 2005

On the Number of Random Digits Required in MonteCarlo Integration of Definable Functions.
Proceedings of the Mathematical Foundations of Computer Science 2005, 2005

2004
Deformation techniques to solve generalised Pham systems.
Theor. Comput. Sci., 2004

Generalized polar varieties and an efficient real elimination.
Kybernetika, 2004

04061 Abstracts Collection - Real Computation and Complexity.
Proceedings of the Real Computation and Complexity, 1.-6. February 2004, 2004

04061 Summary - Real Computation and Complexity.
Proceedings of the Real Computation and Complexity, 1.-6. February 2004, 2004

2003
Preface.
J. Symb. Comput., 2003

Systems of rational polynomial equations have polynomial size approximate zeros on the average.
J. Complex., 2003

The Hardness of Polynomial Equation Solving.
Found. Comput. Math., 2003

2002
The Distribution of Condition Numbers of Rational Data of Bounded Bit Length.
Found. Comput. Math., 2002

2001
A new method to obtain lower bounds for polynomial evaluation.
Theor. Comput. Sci., 2001

Kronecker's and Newton's Approaches to Solving: A First Comparison.
J. Complex., 2001

2000
Time-Space Tradeoffs in Algebraic Complexity Theory.
J. Complex., 2000

1999
Arithmetic Nullstellensätze.
SIGSAM Bull., 1999

1998
On Kolmogorov Complexity in the Real Turing Machine Setting.
Inf. Process. Lett., 1998

Combinatorial Hardness Proofs for Polynomial Evaluation.
Proceedings of the Mathematical Foundations of Computer Science 1998, 1998

1995
Lower bounds for arithmetic networks II: Sum of Betti numbers.
Appl. Algebra Eng. Commun. Comput., 1995

How Lower and Upper Complexity Bounds Meet in Elimination Theory.
Proceedings of the Applied Algebra, 1995

When Polynomial Equation Systems Can Be "Solved" Fast?.
Proceedings of the Applied Algebra, 1995

1994
A Note on Rabin's Width of a Complete Proof.
Comput. Complex., 1994

1993
Lower Bounds for Arithmetic Networks.
Appl. Algebra Eng. Commun. Comput., 1993

1992
Time Bounded Computations over the Reals.
Int. J. Algebra Comput., 1992

1987
Rabin's width of a complete proof and the width of a semialgebraic set.
Proceedings of the EUROCAL '87, 1987

On the Computation of the Local and Global Analytic Branches of a Real Algebraic Curve.
Proceedings of the Applied Algebra, 1987


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