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Generate a network for the entropy values

Posted 6 years ago

Dear all,

I calculated the entropy values for the time series of 44 cities. Is it possible to define a simple or complex network for these values? I attached a related reference for getting more information.

shannonEntropy[data_, binWidth_] := 
 Module[{iter, n = Length[data], pi, pi1},
  iter = {Min[data], Max[data] + binWidth, binWidth};
  pi = N[BinCounts[data, iter]/n];
  pi1 = DeleteCases[pi, 0.];
  -pi1.Log[pi1]]

entr = {1.21`, 0.55`, 0.84`, 1.06`, 1.33`, 0.82`, 1.51`, 0.27`, 1.21`,
    1.14`, 0.92`, 1.23`, 1.37`, 0.82`, 0.69`, 1.46`, 0.1`, 0.09`, 
   1.63`, 1.58`, 0.89`, 0.21`, 0.93`, 1.33`, 1.31`, 1.09`, 0.46`, 
   0.54`, 0.94`, 0.04`, 0.88`, 0.87`, 1.24`, 1.62`, 0.96`, 1.35`, 
   1.43`, 0.9`, 0.72`, 1.07`, 1.02`, 1.16`, 1.38`, 0.07`};

lat = {36.37`, 35.44`, 35.44`, 36.69`, 37.`, 35.75`, 36.69`, 34.81`, 
   36.06`, 36.69`, 35.13`, 36.37`, 36.37`, 34.81`, 33.56`, 37.`, 
   33.25`, 32.63`, 36.37`, 36.69`, 35.44`, 33.88`, 35.44`, 36.37`, 
   36.37`, 36.06`, 35.75`, 33.25`, 35.75`, 32.`, 35.73`, 35.75`, 
   34.81`, 36.06`, 35.13`, 37.`, 36.37`, 35.44`, 35.13`, 35.44`, 
   36.69`, 35.44`, 36.69`, 33.25`};

lon = {1.875`, 2.5`, -0.9375`, 3.125`, 7.8125`, 6.25`, 5.`, 5.625`, 
   4.6875`, 3.4375`, 4.0625`, 0.9375`, 6.5625`, 3.125`, 0.9375`, 
   8.125`, 6.875`, 3.75`, 7.5`, 5.625`, 7.1875`, 2.8125`, 0.3125`, 
   2.8125`, 6.25`, 0.`, 4.6875`, -0.3125`, -0.3125`, 5.625`, 7.3693`, 
   0.625`, 0.3125`, 5.3125`, -0.625`, 6.875`, 7.8125`, 
   7.8125`, -1.875`, 1.25`, 2.5`, 1.5625`, 3.75`, 5.9375`};
Attachments:
POSTED BY: Alex Teymouri
13 Replies
Posted 6 years ago

Thank you so much, Henrik. Good job!

I tried to run the code again and got a different kind of graphs (I use Mathematica 11.3).

Where am I wrong?

Attachments:
POSTED BY: Alex Teymouri

Hi Alex,

Yes, strange, on Mathematica 11.3 I get the same results/graphs as in your notebook. For the above Mathematica 12.0 was used - maybe some algorithm for calculating graph communities has changed (i.e. improved).

POSTED BY: Henrik Schachner
POSTED BY: Henrik Schachner

Henrik you did an incredible job. Congratulations!

Is there any concept behind the this network.? What does this network give us from the mathematical or application view?

POSTED BY: M.A. Ghorbani

Thank you Mohammad - but there is definitely no reason for any congratulations! I simply tried to follow the idea/concept in the above attached publication.

POSTED BY: Henrik Schachner

Dear Henrik,

I plotted for different orders and got interesting results. Thank you.

Attachments:
POSTED BY: M.A. Ghorbani
Posted 6 years ago

Hi Henrik,

I found another paper. I thought it may be interesting to you, especially Fig3 and Fig4. Is it possible to investigate this approach to your city air temperature time series (for example).

Thanks, Alex

Attachments:
POSTED BY: Alex Teymouri

Hi Alex, thank you for this publication! I will try to find time looking into it. Regards -- Henrik

POSTED BY: Henrik Schachner
Posted 6 years ago

Hi Henrik,

Did you have time to take a look at the paper that I sent you a few days ago? I got Oberpfaffenhofen Airport air temperature time series, may be it be useful for the method.

Oberpfaffenhofen Airport
ICAO code | EDMO

tt0 = WeatherData["EDMO", "MeanTemperature", {{2000}, {2018}, "Day"}];

temp0 = Last[tt0\[Transpose]];

Normal[temp0];

DateListPlot[temp0]
Attachments:
POSTED BY: Alex Teymouri
POSTED BY: Henrik Schachner
POSTED BY: M.A. Ghorbani

Dear Prof. Ghorbani,

oops - I nearly missed that post, sorry! I will try to contact you via ResearchGate.net

Regards -- Henrik

POSTED BY: Henrik Schachner

Dear Henrik,

I hope your Christmas is filled with joy this year!

I applied your program for the hourly river water temperature time series of the Skokomish river in the USA. If possible, please have a look at the notebook and let me know the output is correct or not?

Have a nice weekend

Attachments:
POSTED BY: M.A. Ghorbani
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