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feat: implemented complexity measures for GilpinFlowsSystems and other Dynadojo Systems #127

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3fc8a7d
experimenting with running gilpin lyapunov util unaltered
Jul 26, 2024
9b62991
implemented basic complexity measures, code to generate data using me…
Aug 1, 2024
0e8831f
Merge branch 'DynaDojo:main' into feat/lyapunov-spectrum-measure
Vigithai Aug 1, 2024
7837dde
added time functionality
VictorHuynh Aug 2, 2024
d0942c9
bugfixed datagen files, and generated data for 8/5 slides
Vigithai Aug 5, 2024
fbefae5
revert dt changes for Gilpin, DynaDojo stays the same, modified mse t…
VictorHuynh Aug 7, 2024
6f37646
forgot this one lmao
VictorHuynh Aug 7, 2024
dd18080
Cleaned and commented code, created function to compare calculated ve…
VictorHuynh Aug 7, 2024
4a2a00f
Merge branch 'DynaDojo:main' into feat/lyapunov-spectrum-measure
Vigithai Aug 7, 2024
4899283
verified and revised multiscale entropy and correlation dimension, ad…
VictorHuynh Aug 14, 2024
b7e961a
for Vincent
VictorHuynh Aug 14, 2024
e79a3b6
code for lds test for lyapunov exponents
VictorHuynh Aug 14, 2024
b5b7d13
forgot this one
VictorHuynh Aug 14, 2024
d394ef6
Added Julia integration into Python, Julia's DynamicalSystems now wor…
VictorHuynh Aug 17, 2024
3de0eda
created unit tests for multi_en, corr_dim, and lyapunov (which effect…
VictorHuynh Aug 20, 2024
673cc78
added tests for ky dim and pesin entropy, pretty trivial though wante…
VictorHuynh Aug 20, 2024
9dc4aec
lowered tolerance for unit tests
VictorHuynh Aug 21, 2024
e2368ff
cleaned and commented complexity measures util file with lyapunov spe…
Vigithai Aug 25, 2024
d8a73f1
resolving merge conflict and preserving changes
Vigithai Aug 25, 2024
5da22c7
Added additional Julia functions, added DFA functions, created file f…
VictorHuynh Aug 25, 2024
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121 changes: 121 additions & 0 deletions docs/complexity_comparison.JSON

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18 changes: 18 additions & 0 deletions docs/dyna_complexity_data.JSON
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{"system":"LorenzSystem","D":3,"seed":2,"x0":[1.8790107337,0.5514662733,2.7496936791],"OOD":false,"timesteps":100,"gp_dim":1.8718939635,"mse_mv":0.3499592369,"pca":1,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
{"system":"LorenzSystem","D":3,"seed":2,"x0":[1.8790107337,0.5514662733,2.7496936791],"OOD":false,"timesteps":500,"gp_dim":1.9589571602,"mse_mv":0.539244127,"pca":1,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
{"system":"LorenzSystem","D":3,"seed":2,"x0":[1.8790107337,0.5514662733,2.7496936791],"OOD":false,"timesteps":1000,"gp_dim":1.9446723304,"mse_mv":0.8370459247,"pca":1,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
{"system":"LorenzSystem","D":3,"seed":2,"x0":[1.8790107337,0.5514662733,2.7496936791],"OOD":true,"timesteps":100,"gp_dim":1.9213040117,"mse_mv":0.6378602081,"pca":1,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
{"system":"LorenzSystem","D":3,"seed":2,"x0":[1.8790107337,0.5514662733,2.7496936791],"OOD":true,"timesteps":500,"gp_dim":2.0332554285,"mse_mv":0.9655682513,"pca":1,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
{"system":"LorenzSystem","D":3,"seed":2,"x0":[1.8790107337,0.5514662733,2.7496936791],"OOD":true,"timesteps":1000,"gp_dim":2.0526930138,"mse_mv":1.1220977417,"pca":1,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
{"system":"LorenzSystem","D":5,"seed":2,"x0":[5.6226566278,1.5006226331,4.326307908,6.6929729857,4.2278467327],"OOD":false,"timesteps":100,"gp_dim":2.1298724048,"mse_mv":0.0651032671,"pca":2,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
{"system":"LorenzSystem","D":5,"seed":2,"x0":[5.6226566278,1.5006226331,4.326307908,6.6929729857,4.2278467327],"OOD":false,"timesteps":500,"gp_dim":2.1154697577,"mse_mv":0.0094414745,"pca":2,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
{"system":"LorenzSystem","D":5,"seed":2,"x0":[5.6226566278,1.5006226331,4.326307908,6.6929729857,4.2278467327],"OOD":false,"timesteps":1000,"gp_dim":2.0920615964,"mse_mv":0.0070700943,"pca":2,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
{"system":"LorenzSystem","D":5,"seed":2,"x0":[5.6226566278,1.5006226331,4.326307908,6.6929729857,4.2278467327],"OOD":true,"timesteps":100,"gp_dim":2.140469485,"mse_mv":1.0366166097,"pca":2,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
{"system":"LorenzSystem","D":5,"seed":2,"x0":[5.6226566278,1.5006226331,4.326307908,6.6929729857,4.2278467327],"OOD":true,"timesteps":500,"gp_dim":1.640386227,"mse_mv":0.0890070347,"pca":2,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
{"system":"LorenzSystem","D":5,"seed":2,"x0":[5.6226566278,1.5006226331,4.326307908,6.6929729857,4.2278467327],"OOD":true,"timesteps":1000,"gp_dim":2.0414278765,"mse_mv":0.0326361403,"pca":2,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
{"system":"LorenzSystem","D":7,"seed":2,"x0":[4.2278467327,6.3318439927,9.6743595249,6.8306482231,3.9162483308,1.8725256972,3.4596066557],"OOD":false,"timesteps":100,"gp_dim":1.5187885789,"mse_mv":0.0715996456,"pca":2,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
{"system":"LorenzSystem","D":7,"seed":2,"x0":[4.2278467327,6.3318439927,9.6743595249,6.8306482231,3.9162483308,1.8725256972,3.4596066557],"OOD":false,"timesteps":500,"gp_dim":2.0506263224,"mse_mv":0.0074874858,"pca":2,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
{"system":"LorenzSystem","D":7,"seed":2,"x0":[4.2278467327,6.3318439927,9.6743595249,6.8306482231,3.9162483308,1.8725256972,3.4596066557],"OOD":false,"timesteps":1000,"gp_dim":2.0383048545,"mse_mv":0.0072237203,"pca":2,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
{"system":"LorenzSystem","D":7,"seed":2,"x0":[4.2278467327,6.3318439927,9.6743595249,6.8306482231,3.9162483308,1.8725256972,3.4596066557],"OOD":true,"timesteps":100,"gp_dim":1.5020817661,"mse_mv":0.2567583578,"pca":2,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
{"system":"LorenzSystem","D":7,"seed":2,"x0":[4.2278467327,6.3318439927,9.6743595249,6.8306482231,3.9162483308,1.8725256972,3.4596066557],"OOD":true,"timesteps":500,"gp_dim":2.0391694469,"mse_mv":0.0243876433,"pca":2,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
{"system":"LorenzSystem","D":7,"seed":2,"x0":[4.2278467327,6.3318439927,9.6743595249,6.8306482231,3.9162483308,1.8725256972,3.4596066557],"OOD":true,"timesteps":1000,"gp_dim":2.0364637711,"mse_mv":0.0135280902,"pca":2,"lyapunov_spectrum":null,"kaplan_yorke_dimension":null,"pesin":null}
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