Search
Search Results
-
Provably optimal sparse solutions to overdetermined linear systems with non-negativity constraints in a least-squares sense by implicit enumeration
Computing sparse solutions to overdetermined linear systems is a ubiquitous problem in several fields such as regression analysis, signal and image...
-
Exact SDP reformulations of adjustable robust linear programs with box uncertainties under separable quadratic decision rules via SOS representations of non-negativity
In this paper we show that two-stage adjustable robust linear programs with affinely adjustable data in the face of box data uncertainties under...
-
Convergence, non-negativity and stability of a new Lobatto IIIC-Milstein method for a pricing option approach based on stochastic volatility model
Recently, stochastic differential equation (SDE) has been used for many applications in option pricing models which satisfy the non-negativity. So,...
-
Safe Feature Elimination for Non-negativity Constrained Convex Optimization
Inspired by recent work on safe feature elimination for 1-norm regularized least-squares, we develop strategies to eliminate features from convex...
-
Convergence, Non-negativity and Stability of a New Tamed Euler–Maruyama Scheme for Stochastic Differential Equations with Hölder Continuous Diffusion Coefficient
We propose and analyze a new tamed Euler–Maruyama approximation scheme for stochastic differential equations with Hölder continuous diffusion. This...
-
A Positivity-Preserving and Robust Fast Solver for Time-Fractional Convection–Diffusion Problems
This paper presents a fast solver for time-fractional two-dimensional convection-diffusion problems that maintains non-negativity of numerical...
-
Totally positive kernels, Pólya frequency functions, and their transforms
The composition operators preserving total non-negativity and total positivity for various classes of kernels are classified, following three themes....
-
Dynamical behavior of a hepatitis B epidemic model and its NSFD scheme
Hepatitis is inflammation of the liver, and one of its types, hepatitis B, is a contagious infection. Using mathematical models, the nature of the...
-
Gradient-Robust Hybrid DG Discretizations for the Compressible Stokes Equations
This paper studies two hybrid discontinuous Galerkin (HDG) discretizations for the velocity-density formulation of the compressible Stokes equations...
-
Sums of Squares Polynomial Program Reformulations for Adjustable Robust Linear Optimization Problems with Separable Polynomial Decision Rules
We show that adjustable robust linear programs with affinely adjustable box data uncertainties under separable polynomial decision rules admit exact...
-
Quasi Non-Negative Quaternion Matrix Factorization with Application to Color Face Recognition
To address the non-negativity dropout problem of quaternion models, a novel quasi non-negative quaternion matrix factorization (QNQMF) model is...
-
Bounded perturbations resilient iterative methods for linear systems and least squares problems: operator-based approaches, analysis, and performance evaluation
We examine some bounded perturbations resilient iterative methods for addressing (constrained) consistent linear systems of equations and...
-
Exact SDP Reformulations for Adjustable Robust Quadratic Optimization with Affine Decision Rules
In this paper, we deal with exact semidefinite programming (SDP) reformulations for a class of adjustable robust quadratic optimization problems with...
-
Special Topic: Associated Random Fields, Positive Dependence, FKG Inequalities
The notion of association is a form of positive dependence among random variables independently introduced in reliability theory, percolation theory...
-
Sublinear Circuits for Polyhedral Sets
Sublinear circuits are generalizations of the affine circuits in matroid theory, and they arise as the convex-combinatorial core underlying...
-
Direct Limit of Shift-Invariant Measures on a Hilbert Space
AbstractA translationally invariant measure on a Hilbert space is constructed such that this measure is invariant with respect to a group of shifts...
-
Optimality Conditions for Nonlinear Optimization
The optimization problems considered in this book involve the minimization or maximization of a function of several real variables subject to one or...
-
The moment problem on curves with bumps
The power moments of a positive measure on the real line or the circle are characterized by the non-negativity of an infinite matrix, Hankel,...
-
Constructing Free Energies for Materials with Memory
We now discuss methods for deriving new functionals which have the properties of a free energy. Free energy properties Perhaps the central...