查询词典 falling gradient

The Frechet derivative of the cost function is determined via the solution of an adjoint partial differential equation, and the boundary shape is then modified in a direction of descent. This process is repeated until an optimum solution is approached. The advantage is that the cost function variation is independent of the flow field variation, with the result that the gradient of cost function with respect to arbitrary number of design variables can be determined without the need for additional flow-field evaluations. So each design cycle requires the numerical solution of both the flow and the adjoint equations leading to a computational cost roughly equal to the cost of two flow solutions.

虽然他们的研究成果大多数都可以在公开性文献上看到，但是其中一些具体的细节问题的处理方法却没有透露，比如：伴随方程如何离散求解才能减小最终梯度计算中的误差，使得设计过程有效地进行；伴随方程与流动方程的边界条件是不同的，如何合理地处理伴随方程的边界条件，才能推动设计过程朝着设计目标而发展；在减阻问题中目标函数如何定义，求解梯度的具体数学公式如何推导，如何通过数值方法来实现它们等。

A kind of on-line gradient learning algorithms based on signal flow graphs isproposed for neural networks on-line training. The signal flow graph and adjoint one of aneural network are used to compute the its gradients.

对于动态神经网络在线学习而言，该算法避免了传统梯度计算中复杂的链式求导过程，利用神经网络的信号流图及其线性的伴随流图，可以直接计算任何变量的梯度信息。

The sensitivity gradient can be calculated in a very cheap way through an adjoint system,which makes it a huge advantage in reducing cost.

基于控制理论的气动设计方法作为一种基于梯度的优化方法，通过引入伴随系统计算目标函数的敏感性导数，大大降低设计成本。

For a nonlinear autonomous dynamic system, there exists an adjoint system, which is a gradient system. All equilibrium points of the original system are stable equilibrium points in the adjoint system.

对于一个非线性自治动力系统，存在一个伴随系统，该伴随系统是一个梯度系统，原始系统的所有平衡点都是伴随系统的渐近稳定平衡点，并且每一平衡点存在解析形式的Lyapunov函数。

Spectral methods and the classical Crank-Nicolson scheme are applied to deduce the full discrete system for the continuous model, then the variational adjoint assimilation approach is used to derive the gradient and the corresponding adjoint system.

从这个全离散问题出发，结合全局或局部已知的观测数据，分别构造梯度下降算法求解相应的最优化问题。我们分析了采用不同方法计算梯度所需的代价，另外，还给出一种选择最优迭代步长的算法。

But this does not mean that the adjoint method can not be used to calculate the gradient.

但这并不意味着在梯度计算中不能使用伴随方法。

The adjoint model method is introduced to calculate the gradient of the objective function, and then the inverse problem is solved.

正问题和反问题有着本质的不同，在解的定义和求解方法上也有很大的区别。

These adjoint gradient systems share the same potential energy function and equilibrium points.

这些梯度系统共享一个势能函数和相同的平衡点。

In this study, an adjustable rate of relative gradient algorithm was proposed.

在独立分量分析的相对梯度算法中，要取得较好的效果，选取合适的学习速率是至关重要的。

When the river's gradient becomes sharp, frothy water is formed consisting of bubbles and aerated water.

当河流坡度十分陡时，常有水泡和汽水组成的泡沫流。

More direct, directer ; most direct, directest

径直的，笔直的

Do you know how to use a chain saw?

你知道如何使用链锯吗？