Calculates the correlation integral. Does not take self-distance into account.
Memory complexity is len(data)*len(Rs). Calculations are done with single
precision floating point data, and the theoretical maximum data length is
3.037.000.499 points divided by the number of Rs that you want to calculate
Usage
To import the library run:
import correlation_integral as ciThree methods can be used
ci.euclidean
ci.manhattan
ci.chebyshevAll three methods take the following arguments:
data: one-dimensional float32 numpy array with the data
dims: integer specifying the dimension for which to calculate the correlation integral
r : one-dimensional float32 numpy array with the distances to calculate the correlation integral for
And they return the following output:
cd: one-dimensional float32 numpy array which contains the correlation-integral for each r given in the input
The signature looks like this:
cd = ci.euclidean(data,dims,r)Installation
pip install correlation-integralExample
import correlation_integral as ci
import numpy as np
import matplotlib.pyplot as plt
# example Henon map - create & plot data
a=1.4;
b=0.3;
x=np.zeros(shape=(10000+5000),dtype=np.float32)
y=np.zeros(shape=(10000+5000),dtype=np.float32)
x[0]=1
y[0]=0
for i in range(1,len(x)-1):
x[i+1]=1-a*x[i]**2+y[i]
y[i+1]=b*x[i]
x=x[5000:]
y=y[5000:]
# correlation integral analysis done only with x-variable
nrsteps=10;
dims=np.arange(1,16) # calculate for d=1 uptil d=16
nrdims=dims.size;
rs=np.logspace(-2.5,0.5,nrsteps)
Cds=np.zeros((nrsteps,nrdims));
print("Start")
for j in range(nrdims):
Cds[:,j] = ci.chebyshev(x,dims[j],rs)
print("x",end="")
print("\nDONE!")
# Plot the results
for i in range(len(dims)):
plt.plot(rs,Cds[:,i])
plt.xscale("log")
plt.yscale("log")
plt.show()1 maintainer
Metadata
1 maintainer
Release files for correlation-integral 0.0.5
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Built distributions (wheels)
Total release size: 39.1 MB
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Release files / correlation_integral-0.0.5-cp38-cp38-win_amd64.whl
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Release files / correlation_integral-0.0.5-cp38-cp38-win32.whl
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Release files / correlation_integral-0.0.5-cp38-cp38-musllinux_1_1_x86_64.whl
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Release files / correlation_integral-0.0.5-cp38-cp38-musllinux_1_1_i686.whl
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Release files / correlation_integral-0.0.5-cp38-cp38-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
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Release files / correlation_integral-0.0.5-cp38-cp38-manylinux_2_17_i686.manylinux2014_i686.whl
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Release files / correlation_integral-0.0.5-cp38-cp38-macosx_10_9_x86_64.whl
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Release files / correlation_integral-0.0.5-cp37-cp37m-win_amd64.whl
| Download URL | correlation_integral-0.0.5-cp37-cp37m-win_amd64.whl |
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Release files / correlation_integral-0.0.5-cp37-cp37m-win32.whl
| Download URL | correlation_integral-0.0.5-cp37-cp37m-win32.whl |
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Release files / correlation_integral-0.0.5-cp37-cp37m-musllinux_1_1_x86_64.whl
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Release files / correlation_integral-0.0.5-cp37-cp37m-musllinux_1_1_i686.whl
| Download URL | correlation_integral-0.0.5-cp37-cp37m-musllinux_1_1_i686.whl |
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Release files / correlation_integral-0.0.5-cp37-cp37m-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
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Release files / correlation_integral-0.0.5-cp37-cp37m-manylinux_2_17_i686.manylinux2014_i686.whl
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Release files / correlation_integral-0.0.5-cp37-cp37m-macosx_10_9_x86_64.whl
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Release files / correlation_integral-0.0.5-cp36-cp36m-win_amd64.whl
| Download URL | correlation_integral-0.0.5-cp36-cp36m-win_amd64.whl |
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Release files / correlation_integral-0.0.5-cp36-cp36m-win32.whl
| Download URL | correlation_integral-0.0.5-cp36-cp36m-win32.whl |
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Release files / correlation_integral-0.0.5-cp36-cp36m-musllinux_1_1_x86_64.whl
| Download URL | correlation_integral-0.0.5-cp36-cp36m-musllinux_1_1_x86_64.whl |
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Release files / correlation_integral-0.0.5-cp36-cp36m-musllinux_1_1_i686.whl
| Download URL | correlation_integral-0.0.5-cp36-cp36m-musllinux_1_1_i686.whl |
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Release files / correlation_integral-0.0.5-cp36-cp36m-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
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Release files / correlation_integral-0.0.5-cp36-cp36m-manylinux_2_17_i686.manylinux2014_i686.whl
| Download URL | correlation_integral-0.0.5-cp36-cp36m-manylinux_2_17_i686.manylinux2014_i686.whl |
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Release files / correlation_integral-0.0.5-cp36-cp36m-macosx_10_9_x86_64.whl
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