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arXiv 2402.05955cs.LGmath.OC
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一种带分裂可行性约束的可控帕累托前沿学习的超变换器模型

A Hyper-Transformer model for Controllable Pareto Front Learning with Split Feasibility Constraints

Hanoi University of Science and Technology(河内科技大学)

Tran Anh Tuan, Nguyen Viet Dung, Tran Ngoc Thang

AI总结:

针对约束区域内的可控帕累托前沿学习问题,提出一种超变换器模型,利用序列到序列函数的通用逼近理论,在计算实验中比超多层感知器模型获得更小的MED误差。

摘要:

可控帕累托前沿学习(CPFL)逼近帕累托解集,然后根据给定的参考向量定位一个帕累托最优解。然而,在实践中,决策者的目标被限制在一个约束区域内,因此我们不在整个决策空间上训练,而只在约束区域上训练。带分裂可行性约束(SFC)的可控帕累托前沿学习是一种为满足特定约束的分裂多目标优化问题寻找最佳帕累托解的方法。在先前的研究中,CPFL使用了由多层感知器(Hyper-MLP)块组成的超网络模型。随着深度学习中的变换器架构的显著进步,变换器在各种任务中可以胜过其他架构。因此,我们为带SFC的CPFL开发了一种超变换器(Hyper-Trans)模型。我们利用序列到序列函数的通用逼近理论来证明,在计算实验中,Hyper-Trans模型比Hyper-MLP模型使MED误差更小。

英文摘要:

Controllable Pareto front learning (CPFL) approximates the Pareto solution set and then locates a Pareto optimal solution with respect to a given reference vector. However, decision-maker objectives were limited to a constraint region in practice, so instead of training on the entire decision space, we only trained on the constraint region. Controllable Pareto front learning with Split Feasibility Constraints (SFC) is a way to find the best Pareto solutions to a split multi-objective optimization problem that meets certain constraints. In the previous study, CPFL used a Hypernetwork model comprising multi-layer perceptron (Hyper-MLP) blocks. With the substantial advancement of transformer architecture in deep learning, transformers can outperform other architectures in various tasks. Therefore, we have developed a hyper-transformer (Hyper-Trans) model for CPFL with SFC. We use the theory of universal approximation for the sequence-to-sequence function to show that the Hyper-Trans model makes MED errors smaller in computational experiments than the Hyper-MLP model.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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