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Many-objective problems where crossover is provably essential 多目标问题,其中交叉是必要的
IF 4.6 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-11-07 DOI: 10.1016/j.artint.2025.104453
Andre Opris
This article addresses theory in evolutionary many-objective optimization and focuses on the role of crossover operators. The advantages of using crossover are hardly understood and rigorous runtime analyses with crossover are lagging far behind its use in practice, specifically in the case of more than two objectives. We present two many-objective problems RRMO and URRMO, and a theoretical runtime analysis of the GSEMO and the widely used NSGA‑III algorithm, to demonstrate that one point crossover on RRMO, as well as uniform crossover on URRMO, can yield an exponential speedup in the runtime. In particular, when the number of objectives is constant, this algorithms can find the Pareto set of both problems in expected polynomial time when using crossover, while without crossover they require exponential time to even find a single Pareto-optimal point. For either problem, we also demonstrate a significant performance gap in certain superconstant parameter regimes for the number of objectives. To the best of our knowledge, this is the first rigorous runtime analysis in many-objective optimization which demonstrates an exponential performance gap when using crossover for more than two objectives. Additionally, it is the first runtime analysis involving crossover in many-objective optimization where the number of objectives is not necessarily constant.
本文讨论了进化多目标优化中的理论,重点讨论了交叉算子的作用。使用交叉的优势很难被理解,严格的运行时分析与交叉在实践中的使用相差甚远,特别是在两个以上目标的情况下。我们提出了两个多目标问题RRMO 和URRMO,并对GSEMO和广泛使用的NSGA - III算法进行了理论运行时分析,证明了RRMO上的一点交叉以及URRMO上的均匀交叉可以在运行时产生指数级的加速。特别是,当目标数一定时,该算法在使用交叉时可以在预期的多项式时间内找到两个问题的Pareto集,而不使用交叉时甚至需要指数时间才能找到一个Pareto最优点。对于这两个问题,我们也证明了在目标数量的某些超常参数体系中存在显著的性能差距。据我们所知,这是多目标优化中第一个严格的运行时分析,它展示了当对两个以上目标使用交叉时的指数级性能差距。此外,它是第一个在多目标优化中涉及交叉的运行时分析,其中目标数量不一定是恒定的。
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引用次数: 0
Bridging sparse domain semantics via an asymmetric siamese framework with virtual anchor guidance for domain-specific multimodal translation 针对特定领域的多模态翻译,采用非对称Siamese框架和虚拟锚引导架桥稀疏领域语义
IF 4.6 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-10-31 DOI: 10.1016/j.artint.2025.104443
Junjun Guo , Yifan Liu , Zhengtao Yu
Domain-specific Multimodal Neural Machine Translation (DMNMT) aims to translate text in specialized domains by leveraging both linguistic context and associated visual information to resolve domain-specific ambiguities and enhance terminological accuracy. Although accompanying images often provide sparse and fragmented visual cues that could potentially anchor critical domain semantics, the semantic mapping from images to textual domain semantics typically exhibits sparse multi-focal alignment challenges. Existing general-domain multimodal neural machine translation (MNMT) models and large language models (LLMs) struggle to achieve accurate aggregation of domain-salient information, often resulting in near-equivalent yet imprecise terminology translations or outright errors. To bridge this sparse domain semantic correspondence gap, we introduce the Asymmetric Siamese Multimodal Fusion (ASMF) framework, which decouples domain representation learning into two complementary branches that both consume text: a domain-specific virtual visual content generation (DVVG) branch and a terminology-aware textual (TAT) branch. The DVVG branch distills sparse, localized visual features into modality-agnostic semantic anchors through mask-constrained multi-focal distillation, while the TAT branch captures terminology-dense textual context. We introduce a novel Domain-Virtualized Pivot-driven Hierarchical Fusion (DVPH) strategy that progressively injects distilled visual anchors across encoder layers. This asymmetric dual-branch design effectively couples spatially fragmented visual details with terminology-rich text, enabling accurate and domain-consistent translations even for low-frequency terms. Extensive experiments were conducted on four benchmark datasets covering three distinct scenarios: two domain-specific datasets (Fashion-MMT and EMMT), one general-domain dataset (Multi30K), and one multi-domain dataset (WIT). Comprehensive evaluations demonstrate that the proposed approach outperforms existing MNMT, DMNMT and LLMs, achieving state-of-the-art (SOTA) results across all datasets. In-depth analyses validate its robustness and generalization capabilities across diverse scenarios, including visually noisy or image-free conditions.
特定领域的多模态神经机器翻译(DMNMT)旨在通过利用语言上下文和相关的视觉信息来解决特定领域的歧义并提高术语的准确性。虽然伴随图像通常提供稀疏和碎片化的视觉线索,可能潜在地锚定关键领域语义,但从图像到文本领域语义的语义映射通常表现出稀疏的多焦点对齐挑战。现有的通用领域多模态神经机器翻译(MNMT)模型和大型语言模型(llm)难以实现领域显著性信息的准确聚合,经常导致近乎等同但不精确的术语翻译或完全错误。为了弥合这种稀疏的领域语义对应差距,我们引入了非对称暹罗多模态融合(ASMF)框架,该框架将领域表示学习解耦为两个互补的分支,这两个分支都消耗文本:特定于领域的虚拟视觉内容生成(DVVG)分支和术语感知文本(TAT)分支。DVVG分支通过掩模约束的多焦点蒸馏将稀疏的局部视觉特征提炼成模态不确定的语义锚,而TAT分支捕获术语密集的文本上下文。我们引入了一种新的域虚拟化轴驱动分层融合(DVPH)策略,该策略在编码器层之间逐步注入精炼的视觉锚点。这种不对称的双分支设计有效地将空间碎片化的视觉细节与术语丰富的文本结合在一起,即使对于低频术语也能实现准确和领域一致的翻译。在涵盖三种不同场景的四个基准数据集上进行了大量实验:两个特定于领域的数据集(Fashion-MMT和EMMT),一个通用领域数据集(Multi30K)和一个多领域数据集(WIT)。综合评估表明,所提出的方法优于现有的MNMT、DMNMT和llm,在所有数据集上都取得了最先进的(SOTA)结果。深入分析验证了其在不同场景下的鲁棒性和泛化能力,包括视觉噪声或无图像条件。
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引用次数: 0
A General Theoretical Framework for Learning Smallest Interpretable Models 学习最小可解释模型的一般理论框架
IF 4.6 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-10-26 DOI: 10.1016/j.artint.2025.104441
Sebastian Ordyniak , Giacomo Paesani , Mateusz Rychlicki , Stefan Szeider
We develop a general algorithmic framework that allows us to obtain fixed-parameter tractability for computing smallest symbolic models that represent given data. Our framework applies to all ML model types that admit a certain extension property. By establishing this extension property for decision trees, decision sets, decision lists, and binary decision diagrams, we obtain that minimizing these fundamental model types is fixed-parameter tractable. Our framework even applies to ensembles, which combine individual models by majority decision.
我们开发了一个通用的算法框架,使我们能够获得固定参数的可追溯性,用于计算表示给定数据的最小符号模型。我们的框架适用于所有承认某种扩展属性的ML模型类型。通过建立决策树、决策集、决策列表和二元决策图的可拓性,我们得到最小化这些基本模型类型是固定参数可处理的。我们的框架甚至适用于集合,它通过多数决策来组合单个模型。
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引用次数: 0
Online POMDP planning with anytime deterministic optimality guarantees 随时确定性最优保证的在线POMDP规划
IF 4.6 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-10-24 DOI: 10.1016/j.artint.2025.104442
Moran Barenboim , Vadim Indelman
Decision-making under uncertainty is a critical aspect of many practical autonomous systems due to incomplete information. Partially Observable Markov Decision Processes (POMDPs) offer a mathematically principled framework for formulating decision-making problems under such conditions. However, finding an optimal solution for a POMDP is generally intractable. In recent years, there has been a significant progress of scaling approximate solvers from small to moderately sized problems, using online tree search solvers. Often, such approximate solvers are limited to probabilistic or asymptotic guarantees towards the optimal solution. In this paper, we derive a deterministic relationship for discrete POMDPs between an approximated and the optimal solution. We show that at any time, we can derive bounds that relate between the existing solution and the optimal one. We show that our derivations provide an avenue for a new set of algorithms and can be attached to existing algorithms that have a certain structure to provide them with deterministic guarantees with marginal computational overhead. In return, not only do we certify the solution quality, but we demonstrate that making a decision based on the deterministic guarantee may result in superior performance compared to the original algorithm without the deterministic certification.
由于信息不完全,不确定性下的决策是许多实际自治系统的一个重要方面。部分可观察马尔可夫决策过程(pomdp)为在这种情况下制定决策问题提供了一个数学原则框架。然而,为POMDP找到最佳解决方案通常是棘手的。近年来,使用在线树搜索求解器将近似求解器从小型扩展到中等规模的问题取得了重大进展。通常,这样的近似解被限制在对最优解的概率或渐近保证。在本文中,我们导出了离散pomdp问题的近似解和最优解之间的确定性关系。我们证明了在任何时候,我们都可以推导出现有解与最优解之间的界。我们表明,我们的推导为一组新算法提供了一条途径,并且可以附加到具有一定结构的现有算法上,以边际计算开销为它们提供确定性保证。作为回报,我们不仅证明了解决方案的质量,而且证明了基于确定性保证的决策可能比没有确定性认证的原始算法产生更好的性能。
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引用次数: 0
Kernel-bounded clustering: Achieving the objective of spectral clustering without eigendecomposition 核有界聚类:实现不需要特征分解的谱聚类目的
IF 4.6 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-10-15 DOI: 10.1016/j.artint.2025.104440
Hang Zhang , Kai Ming Ting , Ye Zhu
The research on spectral clustering (SC) has thus far been pursued on the same track using the same tool of eigendecomposition of a matrix since the idea was first introduced in 1973. Despite its successes, SC has been identified to have fundamental limitations that prevent SC from discovering certain types of clusters, and SC has slow runtime. We offer an alternative path that does not involve the eigendecomposition, and, more broadly, it uses no optimization. The proposed new Kernel-Bounded Clustering (KBC) is a complete metamorphosis in 50 years of research in SC in view of the fact that KBC achieves the same objective of SC without eigendecomposition or optimization. We evaluated KBC on the datasets that have been used to demonstrate the fundamental limitations of SC, genome-wide expression data, large image datasets and many commonly used real-world benchmark datasets. KBC produced better quality clusters than various variants of SC, and it ran six orders of magnitude faster than the traditional SC on a set of 5 million data points.
谱聚类(SC)的研究自1973年首次提出以来,一直在使用相同的矩阵特征分解工具进行相同的研究。尽管它取得了成功,但人们认为SC有一些基本的限制,这些限制使SC无法发现某些类型的集群,而且SC的运行速度很慢。我们提供了一个不涉及特征分解的替代路径,更广泛地说,它不使用优化。新提出的核有界聚类方法(KBC)是近50年来核有界聚类研究的一个彻底的蜕变,因为它不需要特征分解和优化就能达到与核有界聚类相同的目标。我们在数据集上评估了KBC,这些数据集已用于证明SC的基本局限性,全基因组表达数据,大型图像数据集和许多常用的现实世界基准数据集。与SC的各种变体相比,KBC产生的聚类质量更好,在500万个数据点的集合上,它的运行速度比传统SC快6个数量级。
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引用次数: 0
Contra2: A one-step active learning method for imbalanced graphs 非平衡图的一步主动学习方法
IF 4.6 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-10-10 DOI: 10.1016/j.artint.2025.104439
Wenjie Yang , Shengzhong Zhang , Jiaxing Guo , Zengfeng Huang
Graph active learning (GAL) is an important research direction in graph neural networks (GNNs) that aims to select the most valuable nodes for labeling to train GNNs. Previous works in GAL have primarily focused on the overall performance of GNNs, overlooking the balance among different classes. However, graphs in real-world applications are often imbalanced, which leads GAL methods to select class-imbalanced training sets, resulting in biased GNN models. Furthermore, due to the high cost of multi-turn queries, there is an increasing demand for one-step GAL methods, where the entire training set is queried at once. These realities prompt us to investigate the problem of one-step active learning on imbalanced graphs.
In this paper, we propose a theory-driven method called Contrast & Contract (Contra2) to tackle the above issues. The key idea of Contra2 is that intra-class edges within the majority are dominant in the edge set, so contracting these edges will reduce the imbalance ratio. Specifically, Contra2 first learns node representations by graph contrastive learning (GCL), then stochastically contracts the edges that connect nodes with similar embeddings. We theoretically show that Contra2 reduces the imbalance ratio with high probability. By leveraging a more evenly distributed graph, we can achieve a balanced selection of labeled nodes without requiring any seed labels. The effectiveness of Contra2 is evaluated against various baselines on 11 datasets with different budgets. Contra2 demonstrates remarkable performance, achieving either higher or on-par performance with only half of the annotation budget on some datasets.
图主动学习(GAL)是图神经网络(gnn)的一个重要研究方向,旨在选择最有价值的节点进行标记来训练gnn。以前在GAL中的工作主要集中在gnn的整体性能上,忽略了不同类别之间的平衡。然而,现实应用中的图通常是不平衡的,这导致GAL方法选择类不平衡的训练集,从而导致有偏差的GNN模型。此外,由于多回合查询的高成本,对一次性查询整个训练集的一步GAL方法的需求越来越大。这些现实促使我们研究不平衡图上的一步主动学习问题。在本文中,我们提出了一种理论驱动的方法,称为对比契约(contr2)来解决上述问题。contr2的关键思想是多数类内的边在边集中占主导地位,因此收缩这些边将减少不平衡比。具体来说,contr2首先通过图对比学习(GCL)学习节点表示,然后随机收缩连接具有相似嵌入的节点的边。我们从理论上证明了contr2可以大概率地降低不平衡率。通过利用更均匀分布的图,我们可以在不需要任何种子标签的情况下实现标记节点的平衡选择。在11个不同预算的数据集上对contr2的有效性进行了评估。contr2表现出了出色的性能,在一些数据集上,仅用一半的注释预算就实现了更高或同等的性能。
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引用次数: 0
Arc-consistency with linear programming reduced costs (applied to stable set in chordal graphs) 线性规划的弧一致性降低了成本(应用于弦图中的稳定集)
IF 4.6 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-10-10 DOI: 10.1016/j.artint.2025.104438
Guillaume Claus , Hadrien Cambazard , Hugo Apeloig , Pierre Hoppenot
A well known technique to reduce the search space in integer programming is known as variable fixing or reduced cost strengthening. The reduced costs given by an optimal dual solution of the linear relaxation can be used to strengthen the bounds of the variables but this filtering is incomplete. We show how reduced costs can be used to achieve Arc-Consistency (AC), i.e. a complete filtering, of a global constraint with a cost variable and an assignment cost for each value. We assume that an ideal Integer Linear Programming (ILP) formulation is available i.e. the convex hull of the characteristic vectors of the supports is known. A detailed analysis of reduced cost based filtering is proposed. We characterize arc-consistency based on complementary slackness i.e. completeness of reasoning as opposed to only optimality. We also give a simple sufficient condition allowing a set of dual solutions to ensure arc-consistency through reduced costs. In practice, when the constraint has a such an ideal ILP, n dual solutions are always enough to achieve AC (where n is the number of variables of the global constraint). It extends the work presented in [26] for satisfaction problems and in [17] for the specific case of the minimum weighted alldifferent constraint. Our analysis is illustrated on constraints related to the assignment and shortest path problem and also demonstrated on the weighted stable set problem in chordal graphs. A novel AC algorithm is proposed in this latter case based on reduced costs.
在整数规划中减小搜索空间的一种众所周知的技术是变量固定或降低成本增强。线性松弛的最优对偶解给出的降低代价可以用来加强变量的边界,但这种过滤是不完全的。我们展示了如何使用降低的成本来实现Arc-Consistency (AC),即具有成本变量和每个值的分配成本的全局约束的完整过滤。我们假设一个理想的整数线性规划(ILP)公式是可用的,即支撑的特征向量的凸包是已知的。对基于降代价的滤波进行了详细的分析。我们描述弧一致性基于互补松弛,即推理的完备性,而不是仅仅最优性。我们还给出了一个简单的充分条件,允许一组对偶解通过降低成本来保证弧一致性。在实践中,当约束具有这样一个理想的ILP时,n个对偶解总是足以实现AC(其中n为全局约束的变量数)。它扩展了[26]中关于满足问题的研究和[17]中关于最小加权所有不同约束的具体情况的研究。我们的分析说明了与分配和最短路径问题相关的约束,并证明了弦图中的加权稳定集问题。针对后一种情况,提出了一种新的基于降低成本的交流算法。
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引用次数: 0
Constraints and lifting-based (conditional) preferences in abstract argumentation 抽象论证中的约束和基于提升(条件)的偏好
IF 4.6 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-10-08 DOI: 10.1016/j.artint.2025.104437
Gianvincenzo Alfano, Sergio Greco, Francesco Parisi, Irina Trubitsyna
Dealing with controversial information is an important issue in several application contexts. Formal argumentation enables reasoning on arguments for and against a claim to decide on an outcome. Abstract Argumentation Framework (AF) has emerged as a central formalism in argument-based reasoning. In recent years there has been an increasing interest in extending AF to facilitate the knowledge representation and reasoning process. In this paper, we present an extension of AF that allows for the representation of labelled constraints and labelled preferences. A labelled argument is of the form in(a), out(a), or und(a), where a is an argument, whereas in, out, and und denote the acceptance status (i.e., accepted, rejected, undecided, respectively) of the specified argument. We start by considering an extension of AF with labelled constraints, namely Labelled Constrained AF (LCAF), then we focus on AF with labelled preferences (Labelled Preference-based AF, LPAF for short) and, finally, we introduce a general framework called Labelled Preference-based Constrained AF (LPCAF) that combines AF, labelled constraints, and labelled preferences. We also investigate an extension of AF with labelled conditional (or extended) preferences, namely Labelled extended Preference-based AF (LePAF), and its further combination with labelled constraints (Labelled extended Preference-based Constrained AF, LePCAF for short). Herein, conditional preferences are of the form a>b body, where a and b are labelled arguments, whereas body is a propositional formula over labelled arguments. For each framework, we define its syntax and semantics, and investigate the computational complexity of four canonical argumentation problems: existence, verification, and credulous and skeptical acceptance, under the well-known complete, stable, semi-stable, and preferred semantics.
在许多应用程序上下文中,处理有争议的信息是一个重要问题。形式论证可以对支持和反对某一主张的论点进行推理,从而决定结果。摘要论证框架(argumentationframework, AF)是基于论证的推理的核心形式主义。近年来,人们对扩展自动识别以促进知识表示和推理过程越来越感兴趣。在本文中,我们提出了AF的扩展,允许标记约束和标记偏好的表示。标记论证的形式是in(A)、out(A)或und(A),其中A是一个论证,而in、out和und表示指定论证的接受状态(即分别是接受、拒绝和未决定)。我们首先考虑具有标记约束的AF的扩展,即标记约束AF (LCAF),然后我们关注具有标记偏好的AF(标记基于偏好的AF,简称LPAF),最后,我们引入一个称为标记基于偏好的约束AF (LPCAF)的一般框架,该框架结合了AF,标记约束和标记偏好。我们还研究了标记条件(或扩展)偏好的AF扩展,即标记扩展的基于偏好的AF (LePAF),以及它与标记约束的进一步结合(标记扩展的基于偏好的约束AF,简称LePCAF)。在这里,条件偏好的形式为a>;b←body,其中a和b是标记参数,而body是标记参数之上的命题公式。对于每个框架,我们定义了它的语法和语义,并研究了四个规范论证问题的计算复杂性:存在、验证、轻信和怀疑接受,在众所周知的完整、稳定、半稳定和首选语义下。
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引用次数: 0
Defending a city from multi-drone attacks: A sequential Stackelberg security games approach 保卫城市免受多架无人机的攻击:一个连续的Stackelberg安全游戏方法
IF 4.6 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-10-06 DOI: 10.1016/j.artint.2025.104425
Dolev Mutzari , Tonmoay Deb , Cristian Molinaro , Andrea Pugliese , V.S. Subrahmanian , Sarit Kraus
To counter an imminent multi-drone attack on a city, defenders have deployed drones across the city. These drones must intercept/eliminate the threat, thus reducing potential damage from the attack. We model this as a Sequential Stackelberg Security Game, where the defender first commits to a mixed sequential defense strategy, and the attacker then best responds. We develop an efficient algorithm called S2D2, which outputs a defense strategy. We demonstrate the efficacy of S2D2 in extensive experiments on data from 80 real cities, improving the performance of the defender in comparison to greedy heuristics based on prior works. We prove that under some reasonable assumptions about the city structure, S2D2 outputs an approximate Strong Stackelberg Equilibrium (SSE) with a convenient structure.
为了应对即将到来的多架无人机对城市的袭击,防御者在城市各处部署了无人机。这些无人机必须拦截/消除威胁,从而减少来自攻击的潜在伤害。我们将其建模为顺序Stackelberg安全博弈,其中防御者首先提交混合顺序防御策略,然后攻击者做出最佳响应。我们开发了一个名为S2D2的高效算法,它可以输出一个防御策略。我们在80个真实城市的数据上进行了大量实验,证明了S2D2的有效性,与基于先前工作的贪婪启发式算法相比,防御者的性能得到了提高。我们证明了在一些合理的城市结构假设下,S2D2输出一个具有方便结构的近似强Stackelberg均衡(SSE)。
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引用次数: 0
Pandora's box problem with time constraints 时间限制下的潘多拉盒子问题
IF 4.6 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2025-10-06 DOI: 10.1016/j.artint.2025.104426
Georgios Amanatidis , Ben Berger , Tomer Ezra , Michal Feldman , Federico Fusco , Rebecca Reiffenhäuser , Artem Tsikiridis
The Pandora's Box problem models the search for the best alternative when evaluation is costly. In the simplest variant, a decision maker is presented with n boxes, each associated with a cost of inspection and a hidden random reward. The decision maker inspects a subset of these boxes one after the other, in a possibly adaptive order, and gains the difference between the largest revealed reward and the sum of the inspection costs. Although this classic version is well understood (Weitzman 1979), there is a flourishing recent literature on variants of the problem. Here we introduce a general framework—the Pandora's Box Over Time problem—that captures a wide range of variants where time plays a role, e.g., by constraining the schedules of exploration and influencing costs and rewards. In our framework, boxes have time-dependent rewards and costs, whereas inspection may require a box-specific processing time. Moreover, once a box is inspected, its reward may deteriorate over time. Our main result is an efficient constant-factor approximation to the optimal strategy for the Pandora's Box Over Time problem, which is generally NP-hard to compute. We further obtain improved results for the natural special cases where boxes have no processing time, boxes are available only in specific time slots, or when costs and reward distributions are time-independent (but rewards may still deteriorate after inspection).
潘多拉的盒子问题模拟了当评估成本很高时寻找最佳替代方案的过程。在最简单的变体中,决策者面前有n个盒子,每个盒子都与检查成本和隐藏的随机奖励相关。决策者一个接一个地检查这些盒子的子集,以可能自适应的顺序,并获得最大显示奖励和检查成本总和之间的差值。虽然这个经典的版本被很好地理解(Weitzman 1979),但最近有大量关于这个问题变体的文献。在这里,我们将介绍一个通用的框架——潘多拉盒子随时间推移的问题——它捕获了时间发挥作用的各种变体,例如,通过限制探索时间表和影响成本和奖励。在我们的框架中,箱子具有与时间相关的奖励和成本,而检查可能需要特定于箱子的处理时间。此外,一旦盒子被检查,它的奖励可能会随着时间的推移而恶化。我们的主要结果是对潘多拉盒子随时间推移问题的最佳策略的有效常数因子近似值,这通常是np难以计算的。我们进一步得到了自然特殊情况下的改进结果,其中箱子没有处理时间,箱子只在特定的时间段可用,或者成本和奖励分布与时间无关(但检查后奖励仍然可能恶化)。
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引用次数: 0
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Artificial Intelligence
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