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python Ubuntu dlib 人脸识别9-辅助函数

news 来源：原创 2024/4/29 12:29:14

全局优化函数：

import dlib
from math import sin,cos,pi,exp,sqrt

# This is a standard test function for these kinds of optimization problems.
# It has a bunch of local minima, with the global minimum resulting in
# holder_table()==-19.2085025679. 
def holder_table(x0,x1):
    return -abs(sin(x0)*cos(x1)*exp(abs(1-sqrt(x0*x0+x1*x1)/pi)))

# Find the optimal inputs to holder_table().  The print statements that follow
# show that find_min_global() finds the optimal settings to high precision.
x,y = dlib.find_min_global(holder_table, 
                           [-10,-10],  # Lower bound constraints on x0 and x1 respectively
                           [10,10],    # Upper bound constraints on x0 and x1 respectively
                           80)         # The number of times find_min_global() will call holder_table()

print("optimal inputs: {}".format(x));
print("optimal output: {}".format(y));

最佳分配问题：

假设需要为N个工作分配N个人。另外，每个工人会得到相应报酬，但每一份工作都需要有不同的技能，所以他们在某些工作中表现更好或更糟糕
其他。您希望找到将人员分配到这些工作的最佳方式，并希望报酬最大化。对于这样的问题模型，可以直接调用max_cost_assignment来实现，输入为一给矩阵，第N行为第N个工人所得到的报酬。如第1个工人做3分工作的报酬为1，2，6；第2个工人是5，3，6；第3个为4，5，0。这个函数可以用于高效的计算最大损失。

cost = dlib.matrix([[1, 2, 6],
                    [5, 3, 6],
                    [4, 5, 0]])

# To find out the best assignment of people to jobs we just need to call this
# function.
assignment = dlib.max_cost_assignment(cost)

# This prints optimal assignments:  [2, 0, 1]
# which indicates that we should assign the person from the first row of the
# cost matrix to job 2, the middle row person to job 0, and the bottom row
# person to job 1.
print("Optimal assignments: {}".format(assignment))

# This prints optimal cost:  16.0
# which is correct since our optimal assignment is 6+5+5.
print("Optimal cost: {}".format(dlib.assignment_cost(cost, assignment)))