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Fixed-Budget Online Adaptive Learning for Physics-Informed Neural Networks. Towards Parameterized Problem Inference 物理信息神经网络的固定预算在线自适应学习。面向参数化问题推理
Pub Date : 2022-12-22 DOI: 10.1007/978-3-031-36027-5_36
T. Nguyen, T. Dairay, Raphael Meunier, C. Millet, M. Mougeot
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引用次数: 1
GCS-Q: Quantum Graph Coalition Structure Generation GCS-Q:量子图联盟结构生成
Pub Date : 2022-12-21 DOI: 10.48550/arXiv.2212.11372
Supreeth Mysore Venkatesh, A. Macaluso, M. Klusch
The problem of generating an optimal coalition structure for a given coalition game of rational agents is to find a partition that maximizes their social welfare and is known to be NP-hard. This paper proposes GCS-Q, a novel quantum-supported solution for Induced Subgraph Games (ISGs) in coalition structure generation. GCS-Q starts by considering the grand coalition as initial coalition structure and proceeds by iteratively splitting the coalitions into two nonempty subsets to obtain a coalition structure with a higher coalition value. In particular, given an $n$-agent ISG, the GCS-Q solves the optimal split problem $mathcal{O} (n)$ times using a quantum annealing device, exploring $mathcal{O}(2^n)$ partitions at each step. We show that GCS-Q outperforms the currently best classical solvers with its runtime in the order of $n^2$ and an expected worst-case approximation ratio of $93%$ on standard benchmark datasets.
对于给定的理性主体联盟博弈,生成最优联盟结构的问题是找到一个使其社会福利最大化且已知为np困难的分区。针对联盟结构生成中的诱导子图博弈(isg),提出了一种新的量子支持解GCS-Q。GCS-Q首先将大联盟作为初始联盟结构,然后将联盟迭代划分为两个非空子集,得到一个联盟值更高的联盟结构。特别是,给定一个$n$-agent ISG, GCS-Q使用量子退火设备解决$mathcal{O}(n)$次的最优分割问题,在每一步探索$mathcal{O}(2^n)$分区。我们表明,GCS-Q在标准基准数据集上的运行时间为$n^2$,预期最坏情况近似比为$93%$,优于目前最好的经典求解器。
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引用次数: 4
Learning Neural Optimal Interpolation Models and Solvers 学习神经最优插值模型和求解器
Pub Date : 2022-11-14 DOI: 10.1007/978-3-031-36027-5_28
M. Beauchamp, J. Thompson, Hugo Georgenthum, Q. Febvre, Ronan Fablet
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引用次数: 3
Classification of Hybrid Quantum-Classical Computing 混合量子-经典计算的分类
Pub Date : 2022-10-27 DOI: 10.1007/978-3-031-36030-5_2
F. Phillipson, N. Neumann, R. Wezeman
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引用次数: 1
Improving Group Lasso for High-Dimensional Categorical Data 改进的高维分类数据分组套索
Pub Date : 2022-10-25 DOI: 10.1007/978-3-031-36021-3_47
Szymon Nowakowski, P. Pokarowski, W. Rejchel
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引用次数: 0
FAIR-FATE: Fair Federated Learning with Momentum 公平的命运:有动力的公平联合学习
Pub Date : 2022-09-27 DOI: 10.1007/978-3-031-35995-8_37
Teresa Salazar, Miguel X. Fernandes, Helder Araújo, Pedro Abreu
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引用次数: 2
A case study of the profit-maximizing multi-vehicle pickup and delivery selection problem for the road networks with the integratable nodes 具有可积节点的道路网络中利润最大化的多车辆取货选择问题
Pub Date : 2022-08-31 DOI: 10.48550/arXiv.2208.14866
Aolong Zha, Qi Chang, Naoto Imura, K. Nishinari
This paper is a study of an application-based model in profit-maximizing multi-vehicle pickup and delivery selection problem (PPDSP). The graph-theoretic model proposed by existing studies of PPDSP is based on transport requests to define the corresponding nodes (i.e., each request corresponds to a pickup node and a delivery node). In practice, however, there are probably multiple requests coming from or going to an identical location. Considering the road networks with the integratable nodes as above, we define a new model based on the integrated nodes for the corresponding PPDSP and propose a novel mixed-integer formulation. In comparative experiments with the existing formulation, as the number of integratable nodes increases, our method has a clear advantage in terms of the number of variables as well as the number of constraints required in the generated instances, and the accuracy of the optimized solution obtained within a given time.
研究了基于应用程序的利润最大化多车取货选择问题(PPDSP)。现有的PPDSP研究提出的图论模型是基于传输请求来定义相应的节点(即每个请求对应一个拾取节点和一个交付节点)。然而,在实践中,可能有多个请求来自或前往相同的位置。针对上述具有可积节点的道路网络,我们为相应的PPDSP定义了基于可积节点的新模型,并提出了一种新的混合整数公式。在与现有公式的对比实验中,随着可积节点数量的增加,我们的方法在生成实例所需的变量数量和约束数量以及给定时间内获得的优化解的准确性方面具有明显的优势。
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引用次数: 0
Analysis of Public Transport (in)accessibility and Land-Use Pattern in Different Areas in Singapore 新加坡不同地区公共交通可达性与土地利用模式分析
Pub Date : 2022-07-04 DOI: 10.1007/978-3-031-08754-7_21
H. Huynh
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引用次数: 0
Black Box Optimization Using QUBO and the Cross Entropy Method 基于QUBO和交叉熵方法的黑盒优化
Pub Date : 2022-06-24 DOI: 10.48550/arXiv.2206.12510
Jonas Nusslein, Christoph Roch, Thomas Gabor, Claudia Linnhoff-Popien, Sebastian Feld
Black-box optimization (BBO) can be used to optimize functions whose analytic form is unknown. A common approach to realising BBO is to learn a surrogate model which approximates the target black-box function which can then be solved via white-box optimization methods. In this paper, we present our approach BOX-QUBO, where the surrogate model is a QUBO matrix. However, unlike in previous state-of-the-art approaches, this matrix is not trained entirely by regression, but mostly by classification between 'good' and 'bad' solutions. This better accounts for the low capacity of the QUBO matrix, resulting in significantly better solutions overall. We tested our approach against the state-of-the-art on four domains and in all of them BOX-QUBO showed better results. A second contribution of this paper is the idea to also solve white-box problems, i.e. problems which could be directly formulated as QUBO, by means of black-box optimization in order to reduce the size of the QUBOs to the information-theoretic minimum. Experiments show that this significantly improves the results for MAX-k-SAT.
黑盒优化(BBO)可以用于对解析形式未知的函数进行优化。实现BBO的一种常用方法是学习一个代理模型,该模型近似于目标黑盒函数,然后可以通过白盒优化方法求解。在本文中,我们提出了BOX-QUBO方法,其中代理模型是一个QUBO矩阵。然而,与之前最先进的方法不同,这个矩阵并不完全通过回归来训练,而是主要通过“好”和“坏”解决方案之间的分类来训练。这更好地解释了QUBO矩阵的低容量,从而产生总体上更好的解决方案。我们在四个领域对我们的方法进行了最先进的测试,BOX-QUBO在所有这些领域都表现出更好的结果。本文的第二个贡献是解决白盒问题的想法,即可以直接表述为QUBO的问题,通过黑盒优化将QUBO的大小减小到信息论的最小值。实验表明,这大大改善了MAX-k-SAT的结果。
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引用次数: 4
Attribute Exploration with Multiple Contradicting Partial Experts 多矛盾局部专家的属性探索
Pub Date : 2022-05-31 DOI: 10.1007/978-3-031-16663-1_5
Maximilian Felde, Gerd Stumme
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引用次数: 0
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International Conference on Conceptual Structures
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