32 citations · 51 across the 17 of their papers we have counts for
18 papers
A Subspace Method for Time Series Anomaly Detection in Cyber-Physical Systems
Fredy Vides, Esteban Segura, Carlos Vargas-Agüero
Time series anomaly detection is an important process for system monitoring and model switching, among other applications in cyber-physical systems. In this document, we present a…
Quadratic pseudospectrum for identifying localized states
Alexander Cerjan, Terry A. Loring, Fredy Vides
We examine the utility of the quadratic pseudospectrum in photonics and condensed matter. Specifically, the quadratic pseudospectrum represents a method for approaching systems wit…
Computing Semilinear Sparse Models for Approximately Eventually Periodic Signals
Fredy Vides
Some elements of the theory and algorithmics corresponding to the computation of semilinear sparse models for discrete-time signals are presented. In this study, we will focus on a…
Sparse system identification by low-rank approximation
Fredy Vides
In this document, some general results in approximation theory and matrix analysis with applications to sparse identification of time series models and nonlinear discrete-time dyna…
Computing Floquet Hamiltonians with Symmetries
Terry Loring, Fredy Vides
Unitary matrices arise in many ways in physics, in particular as a time evolution operator. For a periodically driven system one frequently wishes to compute a Floquet Hamilonian t…
Universal Algebraic Controllers and System Identification
Fredy Vides
In this document, some structured operator approximation theoretical methods for system identification of nearly eventually periodic systems, are presented. Let $\mathbb{C}^{n\time…
On Cyclic Finite-State Approximation of Data-Driven Systems
Fredy Vides
In this document, some novel theoretical and computational techniques for constrained approximation of data-driven systems, are presented. The motivation for the development of the…
On Topologically Controlled Model Reduction for Discrete-Time Systems
Fredy Vides
In this document the author proves that several problems in data-driven numerical approximation of dynamical systems in , can be reduced to the computation of a famil…
On Uniform Connectivity of Algebraic Matrix Sets
Fredy Vides
In this document we study the uniform local path connectivity of sets of -tuples of pairwise commuting normal matrices with some additional constraints. More specifically, given…
Connecting Commuting Normal Matrices
Fredy Vides
In this document we study the local path connectivity of sets of -tuples of commuting normal matrices with some additional geometric constraints in their joint spectra. In parti…
Local Deformation of Matrix Words
Fredy Vides
In this document we study some local deformation properties of matrix representations of the universal C-algebras denoted by and $\…
Local Matrix Homotopies and Soft Tori
Terry A. Loring, Fredy Vides
We present solutions to local connectivity problems in matrix representations of the form for any $…
Dynamical Deformation of Toroidal Matrix Varieties
Fredy Vides
In this document we study the local connectivity of the sets whose elements are -tuples of pairwise commuting normal matrix contractions. Given , we prove that th…
Estimating Norms of Commutators
Terry A. Loring, Fredy Vides
We find estimates on the norms commutators of the form [f(x), y] in terms of the norm of [x, y] assuming that x and y are contractions in a C*-algebra A, with x normal and with spe…
On Matrix Schrödinger Unitary Groups in Particular Representations of Finite Dimensional Quantum Dynamical Systems
Fredy Vides
In this paper we study some particular types of matrix Schrödinger semigroups of the form where is the Hamiltonian of a given…
Approximation of Schr{ö}dinger Unitary Groups of Operators by Particular Projection Methods
Fredy Vides
In this paper we work with the approximation of unitary groups of operators of the form where is the Hamiltonian of a given quantum dynami…
On the Approximation of Nonlinear Evolution Equations in Particular C*-Algebras of Operators
Fredy Vides
In this article we deal with the stability and convergence of numerical solutions of nonlinear evolution equations of the form , the numerical analysis of so…
On the Approximation of Contractive Semigroups of Operators in Discretizable Hilbert Spaces
Fredy Vides
The Computation of discrete Contractive semigroups becomes necessary when we deal with several types of evolution equations in Discretizable Hilbert spaces, in this work we study s…