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This paper considers the multi-parametric linear complementarity problem (pLCP) with sufficient matrices. The main result is an algorithm to find a polyhedral decomposition of the set of feasible parameters and to construct a piecewise…

Optimization and Control · Mathematics 2008-07-16 Sebastiano Columbano , Komei Fukuda , Colin Jones

Processors with large numbers of cores are becoming commonplace. In order to take advantage of the available resources in these systems, the programming paradigm has to move towards increased parallelism. However, increasing the level of…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-07 Ashkan Tousimojarad , Wim Vanderbauwhede

The non-linear induction problem in ferromagnetic media is solved using the fixed-point iteration method, where the linearized problem at each iteration is treated by means of a modal approach. The proposed approach does not require meshing…

Computational Physics · Physics 2017-12-13 Anastassios Skarlatos , Theodoros Theodoulidis

Fuzzing is an effective technique for discovering software vulnerabilities by generating random test inputs and executing them against the target program. However, fuzzing large and complex programs remains challenging due to difficulties…

Cryptography and Security · Computer Science 2024-06-10 Dongdong She , Adam Storek , Yuchong Xie , Seoyoung Kweon , Prashast Srivastava , Suman Jana

Interval type-2 (IT2) fuzzy systems have become increasingly popular in the last 20 years. They have demonstrated superior performance in many applications. However, the operation of an IT2 fuzzy system is more complex than that of its…

Artificial Intelligence · Computer Science 2019-07-04 Dongrui Wu , Jerry Mendel

In this report, we will define a new approach to the problem of non deterministic planning for extended temporal goals. In particular, we will give a solution to this problem reducing it to a fully observable non deterministic (FOND)…

Artificial Intelligence · Computer Science 2020-04-16 Francesco Fuggitti

In recent years, fuzzing has been widely applied not only to application software but also to system software, including the Linux kernel and firmware, and has become a powerful technique for vulnerability discovery. Among these approaches,…

Cryptography and Security · Computer Science 2026-03-27 Masami Ichikawa

We consider fundamental algorithmic number theoretic problems and their relation to a class of block structured Integer Linear Programs (ILPs) called $2$-stage stochastic. A $2$-stage stochastic ILP is an integer program of the form $\min…

Computational Complexity · Computer Science 2021-02-08 Klaus Jansen , Kim-Manuel Klein , Alexandra Lassota

High-dimensional nonlinear optimization problems subject to nonlinear constraints can appear in several contexts including constrained physical and dynamical systems, statistical estimation, and other numerical models. Feasible optimization…

Optimization and Control · Mathematics 2021-11-08 Kevin S. Silmore , James W. Swan

Indefinite quadratic programs (QPs) are known to be very difficult to be solved to global optimality, so are linear programs with linear complementarity constraints. Treating the former as a subclass of the latter, this paper presents a…

Optimization and Control · Mathematics 2025-03-18 Xinyao Zhang , Shaoning Han , Jong-Shi Pang

Data-driven inverse optimization for mixed-integer linear programs (MILPs), which seeks to learn an objective function and constraints consistent with observed decisions, is important for building accurate mathematical models in a variety…

Optimization and Control · Mathematics 2026-02-17 Akira Kitaoka

Integer Linear Programming (ILP) serves as a versatile framework for modeling a wide range of combinatorial optimization problems, typically addressed by sophisticated exact solvers or heuristics. While learning-based approaches have…

Machine Learning · Computer Science 2026-05-29 Kyuil Sim , Sanghyeok Choi , Jinkyoo Park

Fuzzing is a commonly used technique designed to test software by automatically crafting program inputs. Currently, the most successful fuzzing algorithms emphasize simple, low-overhead strategies with the ability to efficiently monitor…

Software Engineering · Computer Science 2018-07-20 William Drozd , Michael D. Wagner

OpenMP parallelization of multiple precision Taylor series method is proposed. A very good parallel performance scalability and parallel efficiency inside one computation node of a CPU-cluster is observed. We explain the details of the…

Mathematical Software · Computer Science 2019-08-27 S. Dimova , I. Hristov , R. Hristova , I. Puzynin , T. Puzynina , Z. Sharipov , N. Shegunov , Z. Tukhliev

This paper considers the linear objective function optimization with respect to a novel system of fuzzy relation equations, where the fuzzy compositions are defined by the minimum t-norm. It is proved that the feasible solution set is…

Optimization and Control · Mathematics 2023-09-22 Amin Ghodousian , Mahdi Mollakazemiha

The Finite Fourier Series (FFS) Shape-Based (SB) trajectory approximation method has been used to rapidly generate initial trajectories that satisfy the dynamics, trajectory boundary conditions, and limitation on maximum thrust…

Optimization and Control · Mathematics 2024-01-31 Caleb Gunsaulus , Carl De Vries , William Brown , Youngro Lee , Madhusudan Vijayakumar , Ossama Abdelkhalik

This paper aims to find efficient solutions to a multi-objective optimization problem (MP) with convex polynomial data. To this end, a hybrid method, which allows us to transform problem (MP) into a scalar convex polynomial optimization…

Optimization and Control · Mathematics 2020-11-03 Jae Hyoung Lee , Nithirat Sisarat , Liguo Jiao

Multi-variable nonlinear fuzzy optimization problem is considered under linear order relation on fuzzy numbers. Using gH-differentiability of a fuzzy-valued function $\tilde{f}$, new necessary and sufficient optimality conditions are…

General Mathematics · Mathematics 2018-02-28 Umme Salma M. Pirzada

Fuzzy answer set programming (FASP) combines two declarative frameworks, answer set programming and fuzzy logic, in order to model reasoning by default over imprecise information. Several connectives are available to combine different…

Artificial Intelligence · Computer Science 2020-02-19 Mario Alviano , Rafael Penaloza

We study inexact fixed-point proximity algorithms for solving a class of sparse regularization problems involving the $\ell_0$ norm. Specifically, the $\ell_0$ model has an objective function that is the sum of a convex fidelity term and a…

Optimization and Control · Mathematics 2024-04-30 Ronglong Fang , Yuesheng Xu , Mingsong Yan
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