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arXiv 2001.00784cs.LGstat.ML
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使用无监督和强化无监督深度学习优化无线系统

Optimizing Wireless Systems Using Unsupervised and Reinforced-Unsupervised Deep Learning

University of Southampton(南安普顿大学);Beihang University(北京航空航天大学)

Dong Liu, Chengjian Sun, Chenyang Yang, Lajos Hanzo

摘要:

无线网络中的资源分配和收发器通常通过求解服从特定约束的优化问题来设计,该优化问题可以被公式化为变量或函数优化。如果变量优化问题的目标函数和约束函数可以导出,则可以应用标准数值算法来寻找最优解,然而当变量的维数较高时,这会导致较高的计算成本。为了降低在线计算复杂性,通过深度神经网络(DNN)学习作为环境状态的函数的最优解是一种有效的方法。DNN可以在最优解的监督下进行训练,但不适用于没有模型的场景或难以获得最优解的功能优化。如果目标和约束函数不可用,则可以应用强化学习来找到函数优化问题的解,然而,这并不适合于无线网络中的优化问题。在这篇文章中,我们介绍了无监督和加强无监督学习框架,用于解决变量和函数优化问题,而无需监督最优解。当环境的数学模型是完全已知的,环境的状态分布是已知的或未知的,我们可以调用无监督学习算法。当环境的数学模型是不完整的,我们引入了加强-无监督学习算法,通过与环境的交互来学习模型。我们的模拟结果证实了这些学习框架的适用性,以用户关联问题为例。

英文摘要:

Resource allocation and transceivers in wireless networks are usually designed by solving optimization problems subject to specific constraints, which can be formulated as variable or functional optimization. If the objective and constraint functions of a variable optimization problem can be derived, standard numerical algorithms can be applied for finding the optimal solution, which however incur high computational cost when the dimension of the variable is high. To reduce the on-line computational complexity, learning the optimal solution as a function of the environment's status by deep neural networks (DNNs) is an effective approach. DNNs can be trained under the supervision of optimal solutions, which however, is not applicable to the scenarios without models or for functional optimization where the optimal solutions are hard to obtain. If the objective and constraint functions are unavailable, reinforcement learning can be applied to find the solution of a functional optimization problem, which is however not tailored to optimization problems in wireless networks. In this article, we introduce unsupervised and reinforced-unsupervised learning frameworks for solving both variable and functional optimization problems without the supervision of the optimal solutions. When the mathematical model of the environment is completely known and the distribution of environment's status is known or unknown, we can invoke unsupervised learning algorithm. When the mathematical model of the environment is incomplete, we introduce reinforced-unsupervised learning algorithms that learn the model by interacting with the environment. Our simulation results confirm the applicability of these learning frameworks by taking a user association problem as an example.

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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