帮我写一个将一维时间序列转换为二维递归图的矩阵函数
时间: 2024-10-12 15:16:16 浏览: 28
将一维时间序列转换为二维递归图(也称为相邻矩阵或邻接矩阵)通常涉及创建一个矩阵,其中行和列都代表时间序列中的元素,而矩阵元素表示两个元素之间的关联或临近程度。下面是一个简单的Python函数示例,使用numpy库:
```python
import numpy as np
def time_series_to_adjacency_matrix(seq, threshold=1):
"""
Function to convert a one-dimensional time series into a two-dimensional recursive adjacency matrix.
Parameters:
seq (list or array): The one-dimensional time sequence.
threshold (int or float, optional): The similarity threshold for determining adjacent elements. Defaults to 1.
Returns:
adj_matrix (numpy.ndarray): A square matrix where (i, j) element is non-zero if |seq[i] - seq[j]| <= threshold, and zero otherwise.
"""
n = len(seq)
adj_matrix = np.zeros((n, n), dtype=int)
# Iterate over pairs of indices
for i in range(n):
for j in range(i+1, n):
distance = abs(seq[i] - seq[j]) # Compute the absolute difference between elements
if distance <= threshold:
adj_matrix[i, j] = adj_matrix[j, i] = 1 # Mark as connected if within threshold
return adj_matrix
# Example usage:
time_series = [1, 2, 3, 4, 5]
adj_matrix = time_series_to_adjacency_matrix(time_series)
```
这个函数会返回一个二维矩阵,其中非零元素表示时间序列中的元素在阈值范围内是相邻的。
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