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This paper presents a scalable method for improving the solutions of AC Optimal Power Flow (AC OPF) with respect to deviations in predicted power injections from wind and other uncertain generation resources. The focus of the paper is on…

Systems and Control · Computer Science 2019-01-10 Miles Lubin , Yury Dvorkin , Line Roald

We consider the global minimization of a particular type of minimum structured optimization problems wherein the variables must belong to some basic set, the feasible domain is described by the intersection of a large number of functional…

Optimization and Control · Mathematics 2024-12-09 Guillaume Van Dessel , François Glineur

Many known planning tasks have inherent constraints concerning the best order in which to achieve the goals. A number of research efforts have been made to detect such constraints and to use them for guiding search, in the hope of speeding…

Artificial Intelligence · Computer Science 2011-07-04 J. Hoffmann , J. Porteous , L. Sebastia

We encode arrays as functions which, in turn, are encoded as sets of ordered pairs. The set cardinality of each of these functions coincides with the length of the array it is representing. Then we define a fragment of set theory that is…

Logic in Computer Science · Computer Science 2026-05-12 Maximiliano Cristiá , Gianfranco Rossi

This paper develops a novel approach to necessary optimality conditions for constrained variational problems defined in generally incomplete subspaces of absolutely continuous functions. Our approach involves reducing a variational problem…

Optimization and Control · Mathematics 2021-11-01 Ashkan Mohammadi , Boris Mordukhovich

We develop formal foundations for notions and mechanisms needed to support service-oriented computing. Our work builds on recent theoretical advancements in the algebraic structures that capture the way services are orchestrated and in the…

Logic in Computer Science · Computer Science 2017-01-11 Ionut Tutu , Jose Luiz Fiadeiro

Logic languages based on the theory of rational, possibly infinite, trees have much appeal in that rational trees allow for faster unification (due to the safe omission of the occurs-check) and increased expressivity (cyclic terms can…

Programming Languages · Computer Science 2007-05-23 Roberto Bagnara , Roberta Gori , Patricia M. Hill , Enea Zaffanella

This paper proposes the use of Constraint Logic Programming (CLP) to model SQL queries in a data-independent abstract layer by focusing on some semantic properties for signalling possible errors in such queries. First, we define a…

Databases · Computer Science 2020-02-19 Fernando Sáenz-Pérez

Programs to solve so-called constraint problems are complex pieces of software which require many design decisions to be made more or less arbitrarily by the implementer. These decisions affect the performance of the finished solver…

Artificial Intelligence · Computer Science 2010-05-20 Lars Kotthoff , Ian Gent , Ian Miguel

A sequential quadratic programming method is designed for solving general smooth nonlinear stochastic optimization problems subject to expectation equality constraints. We consider the setting where the objective and constraint function…

Optimization and Control · Mathematics 2026-03-17 Haoming Shen , Yang Zeng , Baoyu Zhou

In this paper, we identify a fragment of second-order logic with restricted quantification that is expressive enough to capture numerous static analysis problems (e.g. safety proving, bug finding, termination and non-termination proving,…

Logic in Computer Science · Computer Science 2015-09-01 Cristina David , Daniel Kroening , Matt Lewis

This paper is an attempt to remedy the problem of slow convergence for first-order numerical algorithms by proposing an adaptive conditioning heuristic. First, we propose a parallelizable numerical algorithm that is capable of solving…

Optimization and Control · Mathematics 2021-03-02 Muhammad Adil , Sasan Tavakkol , Ramtin Madani

We describe an approach for compiling preferences into logic programs under the answer set semantics. An ordered logic program is an extended logic program in which rules are named by unique terms, and in which preferences among rules are…

Artificial Intelligence · Computer Science 2007-05-23 James P. Delgrande , Torsten Schaub , Hans Tompits

When the underlying conditional density is known, conditional expectations can be computed analytically or numerically. When, however, such knowledge is not available and instead we are given a collection of training data, the goal of this…

Machine Learning · Statistics 2024-07-19 George V. Moustakides

Constraint-logic object-oriented programming, for example using Muli, facilitates the integrated development of business software that occasionally involves finding solutions to constraint-logic problems. The availability of object-oriented…

Programming Languages · Computer Science 2019-07-03 Jan C. Dageförde

We propose analyzing conditional reasoning by appeal to a notion of intervention on a simulation program, formalizing and subsuming a number of approaches to conditional thinking in the recent AI literature. Our main results include a…

Logic in Computer Science · Computer Science 2018-05-09 Duligur Ibeling , Thomas Icard

We propose a projection-free conditional gradient-type algorithm for smooth stochastic multi-level composition optimization, where the objective function is a nested composition of $T$ functions and the constraint set is a closed convex…

Optimization and Control · Mathematics 2022-10-11 Tesi Xiao , Krishnakumar Balasubramanian , Saeed Ghadimi

The convergence behavior of gradient methods for minimizing convex differentiable functions is one of the core questions in convex optimization. This paper shows that their well-known complexities can be achieved under conditions weaker…

Optimization and Control · Mathematics 2013-09-10 Hui Zhang , Wotao Yin

We consider a stochastic optimization problem involving two random variables: a context variable $X$ and a dependent variable $Y$. The objective is to minimize the expected value of a nonlinear loss functional applied to the conditional…

Optimization and Control · Mathematics 2026-03-16 Noel Smith , Andrzej Ruszczynski

We present a systematic introduction to first-order optimality conditions for mathematical programs with equilibrium constraints (MPECs), emphasizing the limitations of classical nonlinear programming techniques. The goal is twofold. First,…

Optimization and Control · Mathematics 2026-05-04 Louis Shuo Wang
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