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随机梯度下降 (SGD)

随机梯度下降 (SGD) 是一种一阶迭代优化算法,源于 Robbins 和 Monro 于 1951 年提出的随机逼近框架。它通过在每一步使用单个随机选取的训练样本(或一个小批量样本)计算出的梯度来更新模型参数,从而最小化目标函数。它是现代机器学习和深度学习的核心优化引擎,能够处理内存无法容纳的大型数据集的训练。

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来源

  1. Robbins, H. & Monro, S. (1951). A Stochastic Approximation Method. The Annals of Mathematical Statistics, 22(3), 400–407. DOI: 10.1214/aoms/1177729586
  2. Goodfellow, I., Bengio, Y. & Courville, A. (2016). Deep Learning (Ch. 8). MIT Press. ISBN: 978-0-262-03561-3

如何引用本页

ScholarGate. (2026, June 3). Stochastic Gradient Descent (SGD) Optimization Algorithm. ScholarGate. https://scholargate.app/zh/machine-learning/stochastic-gradient-descent

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被引用于

ScholarGateStochastic Gradient Descent (Stochastic Gradient Descent (SGD) Optimization Algorithm). 于 2026-06-15 检索自 https://scholargate.app/zh/machine-learning/stochastic-gradient-descent · 数据集: https://doi.org/10.5281/zenodo.20539026