通过删除下降值显示平滑曲线

Question

在这种情况下，是否可以通过平滑值下降的水平来显示平滑曲线？

例如，这里有两个完整的列表。

list1 = [0.02439024, 0.04878049, 0.07317073, 0.09756098, 0.12195122,
       0.14634146, 0.17073171, 0.19512195, 0.2195122 , 0.24390244,
       0.26829268, 0.29268293, 0.31707317, 0.34146341, 0.36585366,
       0.3902439 , 0.41463415, 0.43902439, 0.46341463, 0.48780488,
       0.51219512, 0.53658537, 0.56097561, 0.58536585, 0.6097561 ,
       0.63414634, 0.65853659, 0.68292683, 0.70731707, 0.73170732,
       0.75609756, 0.7804878 , 0.80487805, 0.82926829, 0.85365854,
       0.87804878, 0.90243902, 0.92682927, 0.92682927, 0.92682927,
       0.92682927, 0.95121951, 0.95121951, 0.95121951, 0.95121951,
       0.97560976, 0.97560976, 0.97560976, 0.97560976, 0.97560976,
       0.97560976, 0.97560976, 0.97560976, 0.97560976, 0.97560976,
       0.97560976, 0.97560976, 0.97560976, 0.97560976, 0.97560976,
       0.97560976, 0.97560976, 0.97560976, 0.97560976, 0.97560976,
       0.97560976, 0.97560976, 0.97560976, 0.97560976, 0.97560976,
       0.97560976, 0.97560976, 0.97560976, 0.97560976, 0.97560976,
       0.97560976, 0.97560976, 0.97560976, 0.97560976, 0.97560976,
       0.97560976, 0.97560976, 0.97560976, 0.97560976, 0.97560976,
       0.97560976, 0.97560976, 0.97560976, 0.97560976, 0.97560976,
       0.97560976, 0.97560976, 0.97560976, 0.97560976, 0.97560976,
       0.97560976, 0.97560976, 0.97560976, 0.97560976, 0.97560976,
       0.97560976, 0.97560976, 0.97560976, 0.97560976, 0.97560976,
       0.97560976, 0.97560976, 0.97560976, 0.97560976, 0.97560976,
       0.97560976, 0.97560976, 0.97560976, 0.97560976]

list2 = [1.        , 1.        , 1.        , 1.        , 1.        ,
       1.        , 1.        , 1.        , 1.        , 1.        ,
       1.        , 1.        , 1.        , 1.        , 1.        ,
       1.        , 1.        , 1.        , 1.        , 1.        ,
       1.        , 1.        , 1.        , 1.        , 1.        ,
       1.        , 1.        , 1.        , 1.        , 1.        ,
       1.        , 1.        , 1.        , 1.        , 1.        ,
       1.        , 1.        , 1.        , 0.974359  , 0.95      ,
       0.9268293 , 0.9285714 , 0.90697676, 0.8863636 , 0.8666667 ,
       0.8695652 , 0.85106385, 0.8333333 , 0.81632656, 0.8       ,
       0.78431374, 0.7692308 , 0.754717  , 0.7407407 , 0.72727275,
       0.71428573, 0.7017544 , 0.6896552 , 0.6779661 , 0.6666667 ,
       0.6557377 , 0.6451613 , 0.63492066, 0.625     , 0.61538464,
       0.6060606 , 0.5970149 , 0.5882353 , 0.5797101 , 0.5714286 ,
       0.5633803 , 0.5555556 , 0.5479452 , 0.5405405 , 0.53333336,
       0.5263158 , 0.5194805 , 0.51282054, 0.5063291 , 0.5       ,
       0.49382716, 0.4878049 , 0.48192772, 0.47619048, 0.47058824,
       0.4651163 , 0.4597701 , 0.45454547, 0.4494382 , 0.44444445,
       0.43956044, 0.4347826 , 0.43010753, 0.42553192, 0.42105263,
       0.41666666, 0.41237113, 0.40816328, 0.4040404 , 0.4       ,
       0.3960396 , 0.39215687, 0.3883495 , 0.3846154 , 0.3809524 ,
       0.3773585 , 0.37383178, 0.37037036, 0.36697248, 0.36363637,
       0.36036035, 0.35714287, 0.3539823 , 0.3508772 ]

出现的曲线是带有@werner 解决方案的平滑曲线，虚线加法是我想要的最终平滑曲线。 B样条度数的变化似乎不是曲线形式。即使通过排序和删除 list2 下降的点：

new = list(zip(list1, list2))
new_ = list(dict(sorted(new)).items())
list1, list2 = list(zip(*new_))

平滑不是完全的。

Answer 1

import pandas as pd
import matplotlib.pyplot as plt
import seaborn as sns
from scipy import signal

plt.ion()

df = pd.DataFrame(new, columns=['list1', 'list2'])
_ = signal.savgol_filter(new, 21, 2, axis=0)
df_ = pd.DataFrame(_, columns=['list1', 'list2'])

sns.scatterplot(data=df, x='list1', y='list2')
sns.scatterplot(data=df_, x='list1', y='list2')

savgol_filter 能解决问题吗？您可以根据自己的喜好调整参数。