V2EX variational

Variational

释义 Definition

variational(形容词):变分的;与变分法有关的;涉及“在多种可能变化中寻找最优/极值”的。常用于数学、物理、工程与机器学习等语境(如 variational method / variational principle / variational inference)。

发音 Pronunciation (IPA)

/ver.ie.n.l/

例句 Examples

A variational method can find the best solution under constraints.
变分方法可以在约束条件下找到最优解。

The paper proposes a variational framework that balances accuracy and computational cost in high-dimensional models.
这篇论文提出了一种变分框架,用于在高维模型中平衡准确性与计算成本。

词源 Etymology

来自 variation(变化、变异)+ 形容词后缀 -al。其核心含义与“变化”有关,但在学术语境中更具体:指通过“让量发生微小变化(variation)”来推导或寻找极值的思想(如变分法、变分原理)。

相关词 Related Words

文学与著作 Notable Works

  • Richard P. Feynman & Albert R. Hibbs, Quantum Mechanics and Path Integrals(常见于与“变分原理/方法”相关的讨论)
  • David J. Griffiths, Introduction to Quantum Mechanics(涉及变分法在量子力学近似中的应用)
  • Claude E. Shannon & Warren Weaver, The Mathematical Theory of Communication(在相关数学表述与方法论延伸中常与“优化/泛函”语境并列出现)
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