Zobrazeno 1 - 10
of 147
pro vyhledávání: '"Tsigaridas, Elias P."'
We prove a combinatorial version of Thom's Isotopy Lemma for projection maps applied to any complex or real toric variety. Our results are constructive and give rise to a method for associating the Whitney strata of the projection to the faces of the
Externí odkaz:
http://arxiv.org/abs/2408.08991
Autor:
Hilany, Boulos El, Tsigaridas, Elias
We present precise bit and degree estimates for the optimal value of the polynomial optimization problem $f^*:=\text{inf}_{x\in \mathscr{X}}~f(x)$, where $\mathscr{X}$ is a semi-algebraic set satisfying some non-degeneracy conditions. Our bounds depe
Externí odkaz:
http://arxiv.org/abs/2407.17093
We study the relation between the multigraded Castelnuovo-Mumford regularity of a multihomogeneous ideal $I$ and the multidegrees of a Gr\"obner basis of $I$ with respect to the degree reverse lexicographical monomial order in generic coordinates. Fo
Externí odkaz:
http://arxiv.org/abs/2407.13536
The present article explores the application of randomized control techniques in empirical asset pricing and performance evaluation. It introduces geometric random walks, a class of Markov chain Monte Carlo methods, to construct flexible control grou
Externí odkaz:
http://arxiv.org/abs/2403.00009
Network games are an important class of games that model agent interactions in networked systems, where players are situated at the nodes of a graph and their payoffs depend on the actions taken by their neighbors. We extend the classical framework b
Externí odkaz:
http://arxiv.org/abs/2310.20333
Linear structural equation models are multivariate statistical models encoded by mixed graphs. In particular, the set of covariance matrices for distributions belonging to a linear structural equation model for a fixed mixed graph $G=(V, D,B)$ is par
Externí odkaz:
http://arxiv.org/abs/2210.00239
We propose novel randomized geometric tools to detect low-volatility anomalies in stock markets; a principal problem in financial economics. Our modeling of the (detection) problem results in sampling and estimating the (relative) volume of geodesica
Externí odkaz:
http://arxiv.org/abs/2205.03852
We introduce and study the class of semidefinite games, which generalizes bimatrix games and finite $N$-person games, by replacing the simplex of the mixed strategies for each player by a slice of the positive semidefinite cone in the space of real s
Externí odkaz:
http://arxiv.org/abs/2202.12035
Publikováno v:
ACM Communications in Computer Algebra (2023) Vol. 57, No. 4
We consider the bit complexity of computing Chow forms and their generalization to multiprojective spaces. We develop a deterministic algorithm using resultants and obtain a single exponential complexity upper bound. Earlier computational results for
Externí odkaz:
http://arxiv.org/abs/2202.11582
Publikováno v:
Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation (ISSAC 22). Association for Computing Machinery, New York, NY, USA, 139-148 (2022)
Isolating the real roots of univariate polynomials is a fundamental problem in symbolic computation and it is arguably one of the most important problems in computational mathematics. The problem has a long history decorated with numerous ingenious a
Externí odkaz:
http://arxiv.org/abs/2202.06428