使用python执行敏感性分析 [英] Performing a sensitivity analysis with python
问题描述
我正在尝试进行敏感性分析,因此我开始学习python,所以我想在python中完成这项工作.我找到了一个名为SALib
的程序包,但实际上并没有真正了解如何实现自己的方程式.
例如,这是我的方程式:
I'm trying to perform a sensitivity analysis and I started to learn python so I wanted to accomplish this in python. I found a package called SALib
but I don't really get how to implement my own equation.
For example this is my equation:
ET = 0,0031*C*(R+209)*(t*(t+15)**-1)
首先,我必须定义我的问题:
At first I have to define my problem:
problem = {'num_vars': 3,
'names': ['C', 'R', 't'],
'bounds': [[10, 100],
[3, 7],
[-10, 30]]
}
此后,我必须生成输入样本,但是如何用自己的方程式生成这些样本?也许有人对SALib有经验,可以为我提供帮助.我发现包装文件没有真正的帮助.
After this I have to generae Input Samples but I how do I generate these with my own equation? Maybe someone has expierience with SALib and can help me. I don't find the package documentation really helpful.
推荐答案
函数saltelli.sample()
将生成一个矩阵,其中每一列代表problem
中定义的变量,并在problem
中定义的相应范围内采样.之后,您可以将模型定义为一个函数,如下所示,并为这些输入计算函数ET()
的值.结果是函数值的向量,可以将其发送给文档中给出的其他SALib
函数( https://github.com/SALib/SALib ).
The function saltelli.sample()
will generate a matrix with each column representing a variable defined in problem
and sampled in the corresponding bounds defined in problem
. After that, you can define your model as a function, as shown below, and compute the value of the function ET()
for these inputs. The result is a vector of function values, which can be sent the the other SALib
functions as given in the documentation (https://github.com/SALib/SALib).
from SALib.sample import saltelli
from SALib.analyze import sobol
def ET(X):
# column 0 = C, column 1 = R, column 2 = t
return(0.0031*X[:,0]*(X[:,1]+209)*(X[:,2]*(X[:,2]+15))**-1)
problem = {'num_vars': 3,
'names': ['C', 'R', 't'],
'bounds': [[10, 100],
[3, 7],
[-10, 30]]
}
# Generate samples
param_values = saltelli.sample(problem, 10000000, calc_second_order=False)
# Run model (example)
Y = ET(param_values)
# Perform analysis
Si = sobol.analyze(problem, Y, print_to_console=True)
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