V2EX gaussian process

Gaussian Process

释义 Definition

高斯过程:一种用于描述无限维随机函数的概率模型;它把“函数上任意有限个点的取值”视为服从多元高斯分布。在机器学习中常用于贝叶斯回归不确定性估计非参数建模。(在其他语境中也可泛指“与高斯分布相关的过程”,但最常见的是统计/机器学习里的这一定义。)

发音 Pronunciation (IPA)

/asin prss/

例句 Examples

A Gaussian process can model smooth curves from noisy data.
高斯过程可以从含噪数据中建模出平滑曲线。

By choosing an appropriate kernel, a Gaussian process expresses prior beliefs about the function and produces a posterior distribution over predictions.
通过选择合适的核函数,高斯过程能够表达对函数的先验假设,并给出预测的后验分布。

词源 Etymology

Gaussian 来自德国数学家 Carl Friedrich Gauss(高斯) 的名字,表示“与高斯(正态)分布相关的”。process 源自拉丁语 processus(“进程、过程、推进”)。合起来指“以高斯分布为核心刻画的随机过程/函数分布”。

相关词 Related Words

文学/著作中的出现 Literary / Notable Works

  • Gaussian Processes for Machine Learning Carl E. Rasmussen & Christopher K. I. Williams
  • Pattern Recognition and Machine Learning Christopher M. Bishop
  • Machine Learning: A Probabilistic Perspective Kevin P. Murphy
  • Bayesian Learning for Neural Networks(博士论文) Radford M. Neal
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