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arXiv 2302.01800cs.LG
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使用条件可逆神经网络从任意确定性预测创建概率预测

Creating Probabilistic Forecasts from Arbitrary Deterministic Forecasts using Conditional Invertible Neural Networks

Karlsruhe Institute for Technology(卡尔斯鲁厄理工学院)

Kaleb Phipps, Benedikt Heidrich, Marian Turowski, Moritz Wittig, Ralf Mikut, Veit Hagenmeyer

摘要:

在各种应用中,概率预测需要量化与预测相关的固有不确定性。然而,许多现代预测方法仍然旨在创建确定性预测。将这些确定性预测转换为概率性预测通常具有挑战性,并且基于许多可能在现实世界中不成立的假设。因此,本文提出了一种新的方法,从任意确定性预测创建概率预测。为了实现这种方法,我们使用一个条件可逆神经网络(cINN)。更具体地说,我们应用cINN来学习数据的底层分布,然后将该分布的不确定性与任意确定性预测相结合,以生成准确的概率预测。我们的方法可以简单地创建概率预测,而无需复杂的统计损失函数或进一步的假设。除了显示我们的方法的数学有效性,我们的经验表明,我们的方法明显优于传统的方法,包括确定性预测的不确定性,一般优于最先进的概率预测基准。

英文摘要:

In various applications, probabilistic forecasts are required to quantify the inherent uncertainty associated with the forecast. However, numerous modern forecasting methods are still designed to create deterministic forecasts. Transforming these deterministic forecasts into probabilistic forecasts is often challenging and based on numerous assumptions that may not hold in real-world situations. Therefore, the present article proposes a novel approach for creating probabilistic forecasts from arbitrary deterministic forecasts. In order to implement this approach, we use a conditional Invertible Neural Network (cINN). More specifically, we apply a cINN to learn the underlying distribution of the data and then combine the uncertainty from this distribution with an arbitrary deterministic forecast to generate accurate probabilistic forecasts. Our approach enables the simple creation of probabilistic forecasts without complicated statistical loss functions or further assumptions. Besides showing the mathematical validity of our approach, we empirically show that our approach noticeably outperforms traditional methods for including uncertainty in deterministic forecasts and generally outperforms state-of-the-art probabilistic forecasting benchmarks.

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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