论文标题
非阳性曲率的测地空间中的指数加权平均预测器
The exponentially weighted average forecaster in geodesic spaces of non-positive curvature
论文作者
论文摘要
本文通过在亚历山德罗夫（Alexandrov）的意义上，通过专家建议在大地测量空间中对结果进行专家建议解决了预测问题。通过几何考虑，尤其是Barycenters的概念，我们扩展到了此设置经典加权平均预报器的定义和分析。我们还适应了在线原则以将转换为此设置。我们很快就会在聚合和重中心估计的问题中讨论这些结果的应用。
This paper addresses the problem of prediction with expert advice for outcomes in a geodesic space with non-positive curvature in the sense of Alexandrov. Via geometric considerations, and in particular the notion of barycenters, we extend to this setting the definition and analysis of the classical exponentially weighted average forecaster. We also adapt the principle of online to batch conversion to this setting. We shortly discuss the application of these results in the context of aggregation and for the problem of barycenter estimation.
