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steepest descent method是什么意思,steepest descent method的意思翻译、用法、同义词、例句

输入单词

常用词典

  • [数] 最速下降法;[数] 最陡下降法

  • 例句

  • The corresponding adaptive algorithm was derived based on the steepest descent method.

    基于最陡下降方法,推导出了相应的自适应算法。

  • Since it adopt the steepest descent method in nonlinear programming, it has the drawback that easy converge to a local minimum point of the error function.

    由于它采用非线性规划中的最速下降法,因而存在极易陷入局部极小的缺陷。

  • Morbid Linear Equations calculation problems involving Gauss elimination method, Jacobi' s iterative method, Gauss- Seidel iterative method, steepest descent method and conjugate gradient method.

    病态线性方程组的计算题,涉及Gauss消元法、雅可比迭代法、高斯-赛德尔迭代法、最速下降法和共轭梯度法。

  • The key features of the conjugate gradient algorithms are that they require no matrix storage and they are faster than the steepest descent method.

    共轭梯度算法最大的优点是不需要存储矩阵,而且收敛速度比最速下降法要快。

  • Compared with the conjugate method or the steepest descent method, the method has features with quick convergence rate, large convergence range and wide accommodation.

    文中的算例结果表明,混合算法与单纯的共轭梯度法或最速下降法相比,具有收敛速度快、收敛范围大、适应面宽等特点。

  • The learning method of hidden output layer weights is the steepest descent method and the one of input hidden layer weights is genetic algorithm.

    隐层输出层的权值用最速下降法学习,输入层隐层的权值用遗传算法进行学习。

  • Based on the steepest descent method and the conjugate gradient method, a hybrid algorithm is proposed in this paper, and its global convergence is proved.

    将最速下降法与共轭梯度法有机结合起来,构造出一种混合优化算法,并证明其全局收敛性。

  • The one-dimension projection algorithm, which is the steepest descent method, based on residual space for solving linear equations is analyzed in this paper.

    分析了基于残差空间求解线性方程组的一维投影算法、最速下降法和最小剩余法。

  • The maximum likelihood estimation of such model is discussed, and an approximate solution is obtained with the steepest descent method.

    文中讨论了这类模型参数的极大似然估计,并采用最陡下降法来求其近似解,模拟试验证实此算法是有效。

  • An intelligent sampling technique coupled with the steepest descent method is implemented for on-line estimation of the process, which can be approximated by a second-order model with time delay.

    对于可以用延时二阶模型来拟合的过程,使用一种智能采样技术,结合阶跃下降法,实现了对实时过程的在线模拟。

  • This algorithm splits the difference between the Newton method and the steepest descent method, which is suitable for neural network training.

    该算法的本质是提供牛顿法的速度和保证收敛的最速下降法之间的一个折中,适合于性能指标是平方误差的神经网络训练。

  • The algorithm which utilizes the Steepest Descent Method can give the estimation of displacement between two frames of image directly.

    它对一定时间间隔内两次采样得到的图象进行运算,用最陡梯度下降法直接迭代出图象位移的估计值。

  • The learning method of hidden-output layer weights is the steepest descent method and the one of input-hidden layer weights is genetic algorithm(GA) .

    网络隐层-输出层的权值采取最速下降法学习,输入层-隐层的权值采用遗传算法进行学习;

  • Its learning rule is to use the steepest descent method, by back-propagation network to continuously adjust the weights and thresholds, so the network and the minimum sum of squared errors.

    它的学习规则是使用最速下降法,通过反向传播来不断调整网络的权值和阈值,使网络的误差平方和最小。

  • Then modified steepest descent method which is a new LMS algorithm of adaptive filters is presented , This method is a simple and effective algorithm to solve optimum coefficient .

    然后提出了一种新的LMS算法——改进的最陡下降法,该算法正是求最佳权矢量的一个简单而有效的算法。

  • Three unconstrained optimization methods'steepest descent method, DFP variable metric algorithm and BFGS variable metric algorithm, are compared with each other.

    文中比较了最速下降法、DFP变尺度法和BFGS变尺度法这三种无约束最优化算法;

  • By the steepest descent method, some meaningful results have been obtained in the calculation of the MFPT for a system with nonlinear drift.

    利用最陡下降法简化所得结果,处理了具有非线性漂移的随机系统的MFPT问题。

  • A hybrid computational intellective algorithm for locating the global optima of function put forward by setting the steepest descent method in real-code genetic algorithm.

    在浮点编码遗传算法中加入最速下降法,构成适于函数全局优化的混合遗传算法。

  • A improved BP neural network algorithm with the stability of the steepest descent method and the speed performance of the Newton approach method is educed.

    导出一种既有最速下降法的稳定性又有牛顿法的快速性的新算法;

  • At first, the hidden node parameters of RBF are obtained by the classical clustering method; then those parameters are studied again by the method of steepest descent.

    在用传统聚类方法得到初步的RBF隐节点参数之后,提出再用最陡下降法进行误差反传学习,进一步校正隐节点参数。

  • By steepest descent rule, a new method of selecting cutting plane equation has been given.

    用最速下降规则,给出了选择割平面的一个新方法。

  • Then we explain basic theory of wiener filter and basic structure model of adaptive filter, and combine the method of steepest descent to deduce the LMS.

    然后系统阐述了基本维纳滤波原理和自适应滤波器的基本结构模型,接着在此基础上结合最陡下降法引出LMS算法。

  • Minimizing the LOO upper bound is one of efficient method to select kernel-parameter. Usually, the steepest descent algorithm is used to find the minimum of LOO upper-bound.

    通过最速下降法求LOO上界的极小点来确定核参数是一种新的核参数选择方法。

  • In this paper, the steepest descent arithmetic is used. The computer simulations results show that it is approximate to the common ones. The new method is a viable way in engineering applications.

    文中采用最陡下降算法求解该问题,通过计算机仿真,可以看到该方法与原来采用方法具有相似的结果,为工程应用提供了一种简单、实用的方法。

  • 网络扩展资料

    最速下降法(Steepest Descent Method)是一种常见的数值优化方法。它被广泛应用于数值分析、物理学、化学等领域。

    用法

    最速下降法是一种迭代算法,用于寻找多元函数的最小值。它的基本思想是通过迭代,使函数在当前点的梯度方向上下降最快,从而逐步接近函数的最小值点。

    解释

    最速下降法的迭代公式如下:

    $$ x_{k 1} = x_k - alpha_k abla f(x_k) $$

    其中,$x_k$是迭代到第$k$步的点,$alpha_k$是步长,$abla f(x_k)$是函数$f$在点$x_k$处的梯度。步长$alpha_k$的确定是最速下降法中的一个重要问题,通常需要通过线性搜索等方法来确定。

    最速下降法的收敛速度较慢,因为它只考虑了梯度方向,没有考虑二阶导数等更高阶信息。因此,在实际应用中,常常需要结合其他优化方法来提高收敛速度。

    例句

    • 英文例句:The steepest descent method is a simple but widely used numerical optimization algorithm.
    • 中文例句:最速下降法是一种简单但广泛应用的数值优化算法。

    近义词

    最速下降法的近义词包括梯度下降法、负梯度法等。

    反义词

    最速下降法的反义词包括最速上升法、牛顿法等。

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