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This paper is devoted to the variational inequality problems. We consider two classes of problems, the first is classical constrained variational inequality and the second is the same problem with functional (inequality type) constraints.…

Optimization and Control · Mathematics 2025-06-04 Mohammad S. Alkousa , Belal A. Alashqar , Fedor S. Stonyakin , Tarek Nabhani , Seydamet S. Ablaev

This work establishes the technical fundamentals of a well-tuned Customizable Contraction Hierarchies (CCH) implementation that is simple and elegant. We give a detailed overview of the state of the art of CCH, review recent advances on CCH…

Data Structures and Algorithms · Computer Science 2025-02-18 Thomas Bläsius , Valentin Buchhold , Dorothea Wagner , Tim Zeitz , Michael Zündorf

This paper analyzes the limiting behavior of stochastic linear-quadratic optimal control problems in finite time horizon $[0,T]$ as $T\rightarrow\infty$. The so-called turnpike properties are established for such problems, under…

Optimization and Control · Mathematics 2022-02-28 Jingrui Sun , Hanxiao Wang , Jiongmin Yong

In recent years, a myriad of advanced results have been reported in the community of imitation learning, ranging from parametric to non-parametric, probabilistic to non-probabilistic and Bayesian to frequentist approaches. Meanwhile, ample…

Machine Learning · Computer Science 2019-09-18 Yanlong Huang , Darwin G. Caldwell

We present a Transformer-based framework for Constraint Satisfaction Problems (CSPs). CSPs find use in many applications and thus accelerating their solution with machine learning is of wide interest. Most existing approaches rely on…

Machine Learning · Computer Science 2025-06-11 Yudong W. Xu , Wenhao Li , Scott Sanner , Elias B. Khalil

It is argued that the `perspectival change' of a physical object in special relativity may be given a natural dynamical explanation in terms of a change in the object under the action of certain forces in a rest properties-preserving way.

General Physics · Physics 2010-10-20 Dragan V Redzic

We present an algorithm determining where to relocate objects inside a cluttered and confined space while rearranging objects to retrieve a target object. Although methods that decide what to remove have been proposed, planning for the…

Robotics · Computer Science 2020-03-25 Sang Hun Cheong , Brian Y. Cho , Jinhwi Lee , ChangHwan Kim , Changjoo Nam

Many AI synthesis problems such as planning or scheduling may be modelized as constraint satisfaction problems (CSP). A CSP is typically defined as the problem of finding any consistent labeling for a fixed set of variables satisfying all…

Artificial Intelligence · Computer Science 2013-03-25 Thomas Schiex

In this paper, we are concerned with geometric constraint solvers, i.e., with programs that find one or more solutions of a geometric constraint problem. If no solution exists, the solver is expected to announce that no solution has been…

Graphics · Computer Science 2017-01-09 Ioannis Fudos , Christoph M. Hoffmann , Robert Joan-Arinyo

Chance constraints are a valuable tool for the design of safe decisions in uncertain environments; they are used to model satisfaction of a constraint with a target probability. However, because of possible non-convexity and non-smoothness,…

Optimization and Control · Mathematics 2021-03-22 Yassine Laguel , Jérôme Malick , Wim Ackooij

In this paper, we define the reoptimization variant of the closest substring problem (CSP) under sequence addition. We show that, even with the additional information we have about the problem instance, the problem of finding a closest…

Data Structures and Algorithms · Computer Science 2016-03-09 Jeffrey Aborot , Henry Adorna , Jhoirene Clemente

The classic Resource Constrained Shortest Path (RCSP) problem aims to find a cost optimal path between a pair of nodes in a network such that the resources used in the path are within a given limit. Having been studied for over a decade,…

Artificial Intelligence · Computer Science 2025-04-17 Saman Ahmadi , Andrea Raith , Guido Tack , Mahdi Jalili

We extend the class of SQP methods for equality constrained optimization to the setting of differentiable manifolds. The use of retractions and stratifications allows us to pull back the involved mappings to linear spaces. We study local…

Optimization and Control · Mathematics 2020-05-15 Anton Schiela , Julian Ortiz

In this paper, we address the problem of how automated situation-awareness can be achieved by learning real-world situations from ubiquitously generated mobility data. Without semantic input about the time and space where situations take…

Artificial Intelligence · Computer Science 2017-03-30 Mitra Baratchi , Geert Heijenk , Maarten van Steen

We study a group of new methods to solve an open problem that is the shortest paths problem on a given fix-weighted instance. It is the real significance at a considerable altitude to reach our aim to meet these qualities of generic,…

Discrete Mathematics · Computer Science 2016-11-30 Yong Tan

We examine one of the advantages of Ashtekar's formulation of general relativity: a tractability of degenerate points from the point of view of following the dynamics of classical spacetime. Assuming that all dynamical variables are finite,…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Gen Yoneda , Hisaaki Shinkai , Akika Nakamichi

We investigate the capacitated vehicle routing problem (CVRP) under a robotics context, where a vehicle with limited payload must complete delivery (or pickup) tasks to serve a set of geographically distributed customers with varying…

Robotics · Computer Science 2021-07-27 Kai Gao , Jingjin Yu

Object detection is a crucial task in computer vision that aims to identify and localize objects in images or videos. The recent advancements in deep learning and Convolutional Neural Networks (CNNs) have significantly improved the…

Computer Vision and Pattern Recognition · Computer Science 2023-04-12 Hrishitva Patel

Constrained Reinforcement Learning (CRL) is a subset of machine learning that introduces constraints into the traditional reinforcement learning (RL) framework. Unlike conventional RL which aims solely to maximize cumulative rewards, CRL…

Artificial Intelligence · Computer Science 2024-12-02 Xiaoshan Lin , Sadık Bera Yüksel , Yasin Yazıcıoğlu , Derya Aksaray

In this paper, we investigate the hybrid tractability of binary Quantified Constraint Satisfaction Problems (QCSPs). First, a basic tractable class of binary QCSPs is identified by using the broken-triangle property. In this class, the…

Artificial Intelligence · Computer Science 2011-04-27 Jian Gao , Minghao Yin , Junping Zhou