研究生数学建模算法代码
时间: 2023-10-01 08:03:09 浏览: 56
研究生数学建模算法代码因为每个算法的实现方式和具体的问题而有所不同。以下是一些常见的数学建模算法及其代码示例:
1. 最小二乘法(linear regression)的代码示例:
```python
import numpy as np
# 构造数据集
X = np.array([[1, 1], [1, 2], [1, 3], [1, 4]])
y = np.array([2, 3, 4, 5])
# 最小二乘法求解系数
coefficients = np.linalg.inv(X.T @ X) @ X.T @ y
# 打印系数
print(coefficients)
```
2. 遗传算法(genetic algorithm)的代码示例:
```python
import random
# 初始化种群
def initialize_population(population_size):
population = []
for _ in range(population_size):
chromosome = [random.randint(0, 1) for _ in range(chromosome_length)]
population.append(chromosome)
return population
# 适应度函数
def fitness_function(chromosome):
# 计算适应度
...
# 选择操作
def selection(population):
# 选择优秀个体
...
# 交叉操作
def crossover(parent1, parent2):
# 交叉生成子代
...
# 变异操作
def mutation(chromosome):
# 突变操作
...
# 遗传算法主循环
def genetic_algorithm(population_size, num_generations):
population = initialize_population(population_size)
for _ in range(num_generations):
# 计算适应度
fitness_values = [fitness_function(chromosome) for chromosome in population]
# 选择操作
parents = selection(population, fitness_values)
# 交叉操作
offspring = []
for i in range(0, len(parents), 2):
offspring.extend(crossover(parents[i], parents[i+1]))
# 变异操作
offspring = [mutation(chromosome) for chromosome in offspring]
# 更新种群
population = parents + offspring
# 返回最优个体
best_individual = max(population, key=lambda chromosome: fitness_function(chromosome))
return best_individual
# 调用遗传算法
best_solution = genetic_algorithm(population_size=100, num_generations=1000)
```
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