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A linear program with linear complementarity constraints (LPCC) requires the minimization of a linear objective over a set of linear constraints together with additional linear complementarity constraints. This class has emerged as a…

最优化与控制 · 数学 2018-02-09 Bin Yu , John E. Mitchell , Jong-Shi Pang

We show NP-hardness of a generalized quadratic programming problem, which we called Unconstrained N-ary Quadratic Programming (UNQP). This problem has recently become practically relevant in the context of novel memristor-based neuromorphic…

计算复杂性 · 计算机科学 2019-08-27 Fatemeh Hadaeghi , Herbert Jaeger

We consider the uncapacitated three-level lot-sizing and replenishment problem with a distribution structure. In this NP-hard problem, a single production plant sends the produced items to replenish warehouses from where they are dispatched…

最优化与控制 · 数学 2021-04-20 Jesus O. Cunha , Rafael A. Melo

We explore entanglement as a resource to distinguish locally indistinguishable orthogonal quantum states. Specifically, we consider sets which contain states from an unextendible product basis along with a pure entangled state. We establish…

量子物理 · 物理学 2025-09-30 Abhay Srivastav , Saronath Halder

Food instance segmentation is essential to estimate the serving size of dishes in a food image. The recent cutting-edge techniques for instance segmentation are deep learning networks with impressive segmentation quality and fast…

计算机视觉与模式识别 · 计算机科学 2023-06-29 Huu-Thanh Nguyen , Yu Cao , Chong-Wah Ngo , Wing-Kwong Chan

Mixed Integer Programming (MIP) is one of the most widely used modeling techniques for combinatorial optimization problems. In many applications, a similar MIP model is solved on a regular basis, maintaining remarkable similarities in model…

人工智能 · 计算机科学 2019-09-10 Jian-Ya Ding , Chao Zhang , Lei Shen , Shengyin Li , Bing Wang , Yinghui Xu , Le Song

We address the optimal design of a large scale multi-agent system where each agent has discrete and/or continuous decision variables that need to be set so as to optimize the sum of linear local cost functions, in presence of linear local…

最优化与控制 · 数学 2017-06-28 Alessandro Falsone , Kostas Margellos , Maria Prandini

For complex, high-dimensional Markov Decision Processes (MDPs), it may be necessary to represent the policy with function approximation. A problem is misspecified whenever, the representation cannot express any policy with acceptable…

机器学习 · 计算机科学 2016-06-09 Daniel J. Mankowitz , Timothy A. Mann , Shie Mannor

We investigate the problem of best-policy identification in discounted Markov Decision Processes (MDPs) when the learner has access to a generative model. The objective is to devise a learning algorithm returning the best policy as early as…

机器学习 · 统计学 2021-05-11 Aymen Al Marjani , Alexandre Proutiere

In the knapsack problem under explorable uncertainty, we are given a knapsack instance with uncertain item profits. Instead of having access to the precise profits, we are only given uncertainty intervals that are guaranteed to contain the…

数据结构与算法 · 计算机科学 2025-07-04 Jens Schlöter

Learning from Label Proportions (LLP) is an established machine learning problem with numerous real-world applications. In this setting, data items are grouped into bags, and the goal is to learn individual item labels, knowing only the…

机器学习 · 计算机科学 2023-10-31 Gabriel Franco , Giovanni Comarela , Mark Crovella

We introduce and study Minimum Cut Representability, a framework to solve optimization and feasibility problems over stable matchings by representing them as minimum s-t cut problems on digraphs over rotations. We provide necessary and…

最优化与控制 · 数学 2025-04-08 Yuri Faenza , Ayoub Foussoul , Chengyue He

Paper cutting is a simple process of slicing large rolls of paper, jumbo-reels, into various sub-rolls with variable widths based on demands risen by customers. Since the variability is high due to collected various orders into a pool, the…

其他计算机科学 · 计算机科学 2013-04-09 Mehmet E. Aydin , Osman Taylan

In this paper we deal with a network of agents seeking to solve in a distributed way Mixed-Integer Linear Programs (MILPs) with a coupling constraint (modeling a limited shared resource) and local constraints. MILPs are NP-hard problems and…

系统与控制 · 计算机科学 2020-10-28 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano

Output thresholding is the technique to search for the best threshold to be used during inference for any classifiers that can produce probability estimates on train and testing datasets. It is particularly useful in high imbalance…

机器学习 · 计算机科学 2024-05-21 Baran Koseoglu , Luca Traverso , Mohammed Topiwalla , Egor Kraev , Zoltan Szopory

This paper presents two new approaches to decomposing and solving large Markov decision problems (MDPs), a partial decoupling method and a complete decoupling method. In these approaches, a large, stochastic decision problem is divided into…

人工智能 · 计算机科学 2013-02-01 Ron Parr

Combinatorial optimization is considered a promising class of problems in which quantum computers can show significant advantages. However, problems of practical relevance typically have more variables than current or foreseeable quantum…

量子物理 · 物理学 2025-12-23 Mathias Schmid , Naeimeh Mohseni , Michael J. Hartmann

The study of the fundamental limits of information systems is a central theme in information theory. Both the traditional analytical approach and the recently proposed computational approach have significant limitations, where the former is…

信息论 · 计算机科学 2022-05-04 Wenjing Chen , Chao Tian

Partially Observable Markov Decision Processes (POMDPs) are powerful models for sequential decision making under transition and observation uncertainties. This paper studies the challenging yet important problem in POMDPs known as the…

人工智能 · 计算机科学 2024-06-06 Qi Heng Ho , Martin S. Feather , Federico Rossi , Zachary N. Sunberg , Morteza Lahijanian

The selection of branching variables is a key component of branch-and-bound algorithms for solving Mixed-Integer Programming (MIP) problems since the quality of the selection procedure is likely to have a significant effect on the size of…

最优化与控制 · 数学 2016-08-23 Pierre Le Bodic , George L. Nemhauser