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Nonparametric estimation by convex programming
The problem we concentrate on is as follows: given (1) a convex compact set $X$ in ${\mathbb{R}}^n$, an affine mapping $x\mapsto A(x)$, a parametric family $\{p_{\mu}(\cdot)\}$ of probability densities and (2) $N$ i.i.d.
Juditsky, Anatoli B. +1 more
core +5 more sources
Convex Programs for Temporal Verification of Nonlinear Dynamical Systems [PDF]
A methodology for safety verification of continuous and hybrid systems using barrier certificates has been proposed recently. Conditions that must be satisfied by a barrier certificate can be formulated as a convex program, and the feasibility of the ...
Prajna, Stephen, Rantzer, Anders
core +1 more source
Symmetrized separable convex programming [PDF]
The duality model for convex programming studied recently by E. L. Peterson is analyzed from the viewpoint of perturbational duality theory. Relationships with the traditional Lagrangian model for ordinary programming are explored in detail, with particular emphasis placed on the respective dual problems, Kuhn-Tucker vectors, and extremality conditions.
openaire +2 more sources
Price‐based unit commitment with decision‐dependent uncertainty in hourly demand
The price‐based unit commitment (PBUC) problem aims to optimise the power generating units' schedules to meet the system demand with the objective to maximise the generation companies' (GENCOs') profit.
Jinshun Su +2 more
doaj +1 more source
Fuzzy Relation Bilevel Optimization Model in the Wireless Communication Station System
In order to minimize the intensity of electromagnetic radiation, as well as the operation cost of the base stations in a wireless communication station system, we construct a bilevel programming problem with max-product fuzzy relation inequalities ...
Jianjun Qiu +3 more
doaj +1 more source
Inexact Restoration Methods for Semivectorial Bilevel Programming Problem on Riemannian Manifolds
For a better understanding of the bilevel programming on Riemannian manifolds, a semivectorial bilevel programming scheme is proposed in this paper. The semivectorial bilevel programming is firstly transformed into a single-level programming problem by ...
Jiagen Liao, Zhongping Wan
doaj +1 more source
A convex mathematical model based on second-order cone programming (SOCP) for the optimal operation in direct current microgrids (DCMGs) with high-level penetration of renewable energies and battery energy storage systems (BESSs) is developed in this ...
Walter Gil-González +4 more
doaj +1 more source
Sequential Convex Programming Methods for Solving Nonlinear Optimization Problems with DC constraints [PDF]
This paper investigates the relation between sequential convex programming (SCP) as, e.g., defined in [24] and DC (difference of two convex functions) programming.
Diehl, Moritz, Quoc, Tran Dinh
core
Unbounded convex sets for non-convex mixed-integer quadratic programming [PDF]
This paper introduces a fundamental family of unbounded convex sets that arises in the context of non-convex mixed-integer quadratic programming.
Burer, Samuel, Letchford, Adam
core
Extended Formulations in Mixed-integer Convex Programming
We present a unifying framework for generating extended formulations for the polyhedral outer approximations used in algorithms for mixed-integer convex programming (MICP).
A Ahmadi +19 more
core +1 more source

