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arXiv 2110.03633stat.APcs.GTcs.SYeess.SY
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回归市场及其在能源预测中的应用

Regression markets and application to energy forecasting

Pierre Pinson, Liyang Han, Jalal Kazempour

摘要:

在过去的几十年里,能源预测引起了极大的关注,与使用异构数据源,概率预测,在线学习等相关的新建议出现的一个关键方面是,学习和预测可能会极大地受益于分布式数据,虽然不仅在地理意义上。也就是说,各种代理收集并拥有可能对其他人有用的数据。与最近研究分布式和隐私保护学习(无激励)的建议相反,我们在这里探索一个称为回归市场的框架。在那里,旨在改善其预测的代理发布回归任务,其他代理可以通过共享其特征的数据来做出贡献,并为此获得金钱奖励。市场设计用于回归模型,其参数是线性的,并且可能是可分离的,基于批处理或在线学习进行估计。样本内和样本外的方面都被认为是与市场拟合模型样本,然后为提高真正的预测样本外。这种回归市场依赖于机器学习方法和合作博弈论的可解释性内的最新概念,以及Shapley加法解释。除了介绍市场设计和证明其理想的属性,应用结果显示基于模拟研究(突出该建议的显着特点)和现实世界的案例研究。

英文摘要:

Energy forecasting has attracted enormous attention over the last few decades, with novel proposals related to the use of heterogeneous data sources, probabilistic forecasting, online learn-ing, etc. A key aspect that emerged is that learning and forecasting may highly benefit from distributed data, though not only in the geographical sense. That is, various agents collect and own data that may be useful to others. In contrast to recent proposals that look into distributed and privacy-preserving learning (incentive-free), we explore here a framework called regression markets. There, agents aiming to improve their forecasts post a regression task, for which other agents may contribute by sharing their data for their features and get monetarily rewarded for it.The market design is for regression models that are linear in their parameters, and possibly sep-arable, with estimation performed based on either batch or online learning. Both in-sample and out-of-sample aspects are considered, with markets for fitting models in-sample, and then for improving genuine forecasts out-of-sample. Such regression markets rely on recent concepts within interpretability of machine learning approaches and cooperative game theory, with Shapley additive explanations. Besides introducing the market design and proving its desirable properties, application results are shown based on simulation studies (to highlight the salient features of the proposal) and with real-world case studies.

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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