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This contribution examines optimization problems that involve stochastic dominance constraints. These problems have uncountably many constraints. We develop methods to solve the optimization problem by reducing the constraints to a finite…

最优化与控制 · 数学 2025-02-27 Rajmadan Lakshmanan , Alois Pichler , Miloš Kopa

Constraint answer set programming is a promising research direction that integrates answer set programming with constraint processing. It is often informally related to the field of satisfiability modulo theories. Yet, the exact formal link…

计算机科学中的逻辑 · 计算机科学 2017-02-27 Yuliya Lierler , Benjamin Susman

A variant of the well-known Assignment Problem is studied in this paper, where pairs of assignments are conflicting, and cannot be selected at the same time. This configures a set of hard constraints. The problem, which models real…

最优化与控制 · 数学 2025-06-06 Roberto Montemanni , Derek H. Smith

Constraint Programming is a powerful paradigm to model and solve combinatorial problems. While there are many kinds of constraints, the table constraint is perhaps the most significant-being the most well-studied and has the ability to…

数据库 · 计算机科学 2022-03-23 Soufia Bennai , Kamala Amroun , Samir Loudni , Abdelkader Ouali

This paper can be seen as an attempt of rethinking the {\em Extra-Gradient Philosophy} for solving Variational Inequality Problems. We show that the properly defined {\em Reduced Gradients} can be used instead for finding approximate…

最优化与控制 · 数学 2023-12-05 Yurii Nesterov

In many real-life optimisation problems, there are multiple interacting components in a solution. For example, different components might specify assignments to different kinds of resource. Often, each component is associated with different…

数据结构与算法 · 计算机科学 2014-04-10 Edmund K. Burke , Jakub Marecek , Andrew J. Parkes , Hana Rudova

We revisit the so-called sampling and discarding approach used to quantify the probability of constraint violation of a solution to convex scenario programs when some of the original samples are allowed to be discarded. Motivated by two…

最优化与控制 · 数学 2022-04-05 Licio Romao , Antonis Papachristodoulou , Kostas Margellos

Combinatorial optimization problems arise in a wide range of applications from diverse domains. Many of these problems are NP-hard and designing efficient heuristics for them requires considerable time and experimentation. On the other…

数据结构与算法 · 计算机科学 2020-01-07 Juho Lauri , Sourav Dutta , Marco Grassia , Deepak Ajwani

The design of efficient and generic algorithms for solving combinatorial optimization problems has been an active field of research for many years. Standard exact solving approaches are based on a clever and complete enumeration of the…

机器学习 · 计算机科学 2021-04-21 Félix Chalumeau , Ilan Coulon , Quentin Cappart , Louis-Martin Rousseau

Quadratic Unconstrained Binary Optimization models are useful for solving a diverse range of optimization problems. Constraints can be added by incorporating quadratic penalty terms into the objective, often with the introduction of slack…

最优化与控制 · 数学 2021-05-18 Amit Verma , Mark Lewis

In this paper, we propose a stochastic method for solving equality constrained optimization problems that utilizes predictive variance reduction. Specifically, we develop a method based on the sequential quadratic programming paradigm that…

最优化与控制 · 数学 2023-03-28 Albert S. Berahas , Jiahao Shi , Zihong Yi , Baoyu Zhou

A long-standing open question in Integer Programming is whether integer programs with constraint matrices with bounded subdeterminants are efficiently solvable. An important special case thereof are congruency-constrained integer programs…

最优化与控制 · 数学 2023-04-26 Martin Nägele , Richard Santiago , Rico Zenklusen

Staff scheduling is a universal problem that can be encountered in many organizations, such as call centers, educational institution, industry, hospital, and any other public services. It is one of the most important aspects of workforce…

人工智能 · 计算机科学 2019-02-05 O. M. Alade , A. O. Amusat

Symmetry is an important problem in many combinatorial problems. One way of dealing with symmetry is to add constraints that eliminate symmetric solutions. We survey recent results in this area, focusing especially on two common and useful…

人工智能 · 计算机科学 2012-04-18 Toby Walsh

Modern solvers for Boolean Satisfiability (SAT) and Answer Set Programming (ASP) are based on sophisticated Boolean constraint solving techniques. In both areas, conflict-driven learning and related techniques constitute key features whose…

人工智能 · 计算机科学 2015-03-17 Christian Drescher , Martin Gebser , Benjamin Kaufmann , Torsten Schaub

Cutting plane methods play a significant role in modern solvers for tackling mixed-integer programming (MIP) problems. Proper selection of cuts would remove infeasible solutions in the early stage, thus largely reducing the computational…

最优化与控制 · 数学 2021-10-11 Zeren Huang , Kerong Wang , Furui Liu , Hui-ling Zhen , Weinan Zhang , Mingxuan Yuan , Jianye Hao , Yong Yu , Jun Wang

In this work we focus on efficient heuristics for solving a class of stochastic planning problems that arise in a variety of business, investment, and industrial applications. The problem is best described in terms of future buy and sell…

人工智能 · 计算机科学 2013-01-14 Milos Hauskrecht , Eli Upfal

We describe a general parameterized scheme of program and constraint analyses allowing us to specify both the program specialization method known as Turchin's supercompilation and Hmelevskii's algorithm solving the quadratic word equations.…

计算机科学中的逻辑 · 计算机科学 2018-07-25 Antonina Nepeivoda

Deep learning approaches are successful in a wide range of AI problems and in particular for visual recognition tasks. However, there are still open problems among which is the capacity to handle streams of visual information and the…

机器学习 · 计算机科学 2022-02-02 Umang Aggarwal , Adrian Popescu , Eden Belouadah , Céline Hudelot

We investigate learning heuristics for domain-specific planning. Prior work framed learning a heuristic as an ordinary regression problem. However, in a greedy best-first search, the ordering of states induced by a heuristic is more…

人工智能 · 计算机科学 2016-08-04 Caelan Reed Garrett , Leslie Pack Kaelbling , Tomas Lozano-Perez