V2EX markov process

Markov Process

Definition|释义

Markov process(马尔可夫过程):一种随机过程,其“未来状态”的概率分布只取决于当前状态,而与更早的历史路径无关(这称为马尔可夫性/无记忆性)。常用于描述随时间演化、并带有随机性的系统;马尔可夫链是其在离散时间/离散状态下的常见形式。

Pronunciation|发音

/mr.kf pro.ses/

Examples|例句

The weather can be modeled as a Markov process.
天气可以被建模为一个马尔可夫过程。

In a Markov process, the next state depends on the current state rather than the entire history, which makes it useful for modeling queues and many machine-learning methods.
在马尔可夫过程中,下一状态取决于当前状态而不是全部历史,因此它常用于排队系统以及许多机器学习方法的建模。

Etymology|词源

“Markov”来自俄罗斯数学家Andrey Markov(安德烈马尔可夫)的姓氏,他在20世纪初系统研究了这类具有“无记忆”性质的随机模型;“process”源自拉丁语 processus,意为“前进、进程”,在数学与统计中常指“随时间演化的过程”。

Related Words|相关词

Literary Works|文学与著作中的用例

  • An Introduction to Probability Theory and Its Applications(William Feller)
  • Stochastic Processes(J. L. Doob)
  • Markov Chains(J. R. Norris)
  • Pattern Recognition and Machine Learning(Christopher M. Bishop)
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