论文标题
混凝土分布的特性
Properties of the Concrete distribution
论文作者
论文摘要
我们检查了简单上混凝土（或Gumbel-Softmax）分布的属性。使用单纯形的自然矢量空间结构，可以将混凝土分布视为通过反射和位置尺度转换的均匀分布的转换。计算Fisher信息，相应的信息度量是双曲线空间。我们明确地对分布的参数显式转换为庞加莱半空间坐标，该坐标对应于正交参数化，并计算了Fisher-Rao Geodesic距离。
We examine properties of the Concrete (or Gumbel-softmax) distribution on the simplex. Using the natural vector space structure of the simplex, the Concrete distribution can be regarded as a transformation of the uniform distribution through a reflection and a location-scale transformation. The Fisher information is computed and the corresponding information metric is hyperbolic space. We explicitly give an explicit transformation of the parameters of the distribution to Poincaré half-space coordinates, which correspond to an orthogonal parameterization, and the Fisher-Rao geodesic distance is computed.
