How to evaluate homogeneity of a distribution (nodes among a graph's communities)? The 2019 Stack Overflow Developer Survey Results Are InCan the product of two non-independent Gaussians be Gaussian?Possible to merge 2 summations?Mathematical formulation of 'Indra's net'Is Entropy = Information circular or trivial?Coupon Collector Problem for Non-Uniform Coupons: On the number of missed CouponMultiple Binomial Rounds with Changing ProbabilityComparison between two TRUNCATED probability density functionsNetwork Science: Terminology for graphs with different kinds of edgesHow to Rigorously Make Two Random Choices in SuccessionHow evenly are the nodes with the highest degree distributed among communities in a graph?

Why didn't the Event Horizon Telescope team mention Sagittarius A*?

How to answer pointed "are you quitting" questioning when I don't want them to suspect

Earliest use of the term "Galois extension"?

How to save as into a customized destination on macOS?

What is the accessibility of a package's `Private` context variables?

What does "fetching by region is not available for SAM files" means?

Why is the maximum length of OpenWrt’s root password 8 characters?

Pokemon Turn Based battle (Python)

Did Scotland spend $250,000 for the slogan "Welcome to Scotland"?

Did Section 31 appear in Star Trek: The Next Generation?

"as much details as you can remember"

Is three citations per paragraph excessive for undergraduate research paper?

Which Sci-Fi work first showed weapon of galactic-scale mass destruction?

What is the meaning of the verb "bear" in this context?

Why did Acorn's A3000 have red function keys?

Do these rules for Critical Successes and Critical Failures seem Fair?

Falsification in Math vs Science

Am I thawing this London Broil safely?

Lightning Grid - Columns and Rows?

Protecting Dualbooting Windows from dangerous code (like rm -rf)

What are the motivations for publishing new editions of an existing textbook, beyond new discoveries in a field?

Where to refill my bottle in India?

Write faster on AT24C32

How to support a colleague who finds meetings extremely tiring?



How to evaluate homogeneity of a distribution (nodes among a graph's communities)?



The 2019 Stack Overflow Developer Survey Results Are InCan the product of two non-independent Gaussians be Gaussian?Possible to merge 2 summations?Mathematical formulation of 'Indra's net'Is Entropy = Information circular or trivial?Coupon Collector Problem for Non-Uniform Coupons: On the number of missed CouponMultiple Binomial Rounds with Changing ProbabilityComparison between two TRUNCATED probability density functionsNetwork Science: Terminology for graphs with different kinds of edgesHow to Rigorously Make Two Random Choices in SuccessionHow evenly are the nodes with the highest degree distributed among communities in a graph?










0












$begingroup$


Suppose I have a distribution A of nodes in communities of a network graph:



0 29
1 28
2 23
3 22
5 20
4 20
6 8


Then I have another distribution B:



0 39
1 20
2 18
3 15
5 15
4 7


What is a mathematical measure that would allow me to compare how homogeneous each distribution is?



What I want to find out is which distribution is more diverse.



I would imagine I could use some measure of entropy to do that, but I thought maybe you know of other, more appropriate tools?



For example, I would like to be able to categorize the types of the distribution I get...



Thank you!










share|cite|improve this question











$endgroup$
















    0












    $begingroup$


    Suppose I have a distribution A of nodes in communities of a network graph:



    0 29
    1 28
    2 23
    3 22
    5 20
    4 20
    6 8


    Then I have another distribution B:



    0 39
    1 20
    2 18
    3 15
    5 15
    4 7


    What is a mathematical measure that would allow me to compare how homogeneous each distribution is?



    What I want to find out is which distribution is more diverse.



    I would imagine I could use some measure of entropy to do that, but I thought maybe you know of other, more appropriate tools?



    For example, I would like to be able to categorize the types of the distribution I get...



    Thank you!










    share|cite|improve this question











    $endgroup$














      0












      0








      0





      $begingroup$


      Suppose I have a distribution A of nodes in communities of a network graph:



      0 29
      1 28
      2 23
      3 22
      5 20
      4 20
      6 8


      Then I have another distribution B:



      0 39
      1 20
      2 18
      3 15
      5 15
      4 7


      What is a mathematical measure that would allow me to compare how homogeneous each distribution is?



      What I want to find out is which distribution is more diverse.



      I would imagine I could use some measure of entropy to do that, but I thought maybe you know of other, more appropriate tools?



      For example, I would like to be able to categorize the types of the distribution I get...



      Thank you!










      share|cite|improve this question











      $endgroup$




      Suppose I have a distribution A of nodes in communities of a network graph:



      0 29
      1 28
      2 23
      3 22
      5 20
      4 20
      6 8


      Then I have another distribution B:



      0 39
      1 20
      2 18
      3 15
      5 15
      4 7


      What is a mathematical measure that would allow me to compare how homogeneous each distribution is?



      What I want to find out is which distribution is more diverse.



      I would imagine I could use some measure of entropy to do that, but I thought maybe you know of other, more appropriate tools?



      For example, I would like to be able to categorize the types of the distribution I get...



      Thank you!







      probability-distributions normal-distribution entropy network






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Mar 30 at 16:31









      md2perpe

      8,43911028




      8,43911028










      asked Mar 25 at 15:48









      Dmitry ParanyushkinDmitry Paranyushkin

      1136




      1136




















          0






          active

          oldest

          votes












          Your Answer





          StackExchange.ifUsing("editor", function ()
          return StackExchange.using("mathjaxEditing", function ()
          StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
          StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
          );
          );
          , "mathjax-editing");

          StackExchange.ready(function()
          var channelOptions =
          tags: "".split(" "),
          id: "69"
          ;
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function()
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled)
          StackExchange.using("snippets", function()
          createEditor();
          );

          else
          createEditor();

          );

          function createEditor()
          StackExchange.prepareEditor(
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: true,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: 10,
          bindNavPrevention: true,
          postfix: "",
          imageUploader:
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          ,
          noCode: true, onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          );



          );













          draft saved

          draft discarded


















          StackExchange.ready(
          function ()
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3161960%2fhow-to-evaluate-homogeneity-of-a-distribution-nodes-among-a-graphs-communities%23new-answer', 'question_page');

          );

          Post as a guest















          Required, but never shown

























          0






          active

          oldest

          votes








          0






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes















          draft saved

          draft discarded
















































          Thanks for contributing an answer to Mathematics Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid


          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.

          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function ()
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3161960%2fhow-to-evaluate-homogeneity-of-a-distribution-nodes-among-a-graphs-communities%23new-answer', 'question_page');

          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          Triangular numbers and gcdProving sum of a set is $0 pmod n$ if $n$ is odd, or $fracn2 pmod n$ if $n$ is even?Is greatest common divisor of two numbers really their smallest linear combination?GCD, LCM RelationshipProve a set of nonnegative integers with greatest common divisor 1 and closed under addition has all but finite many nonnegative integers.all pairs of a and b in an equation containing gcdTriangular Numbers Modulo $k$ - Hit All Values?Understanding the Existence and Uniqueness of the GCDGCD and LCM with logical symbolsThe greatest common divisor of two positive integers less than 100 is equal to 3. Their least common multiple is twelve times one of the integers.Suppose that for all integers $x$, $x|a$ and $x|b$ if and only if $x|c$. Then $c = gcd(a,b)$Which is the gcd of 2 numbers which are multiplied and the result is 600000?

          Ingelân Ynhâld Etymology | Geografy | Skiednis | Polityk en bestjoer | Ekonomy | Demografy | Kultuer | Klimaat | Sjoch ek | Keppelings om utens | Boarnen, noaten en referinsjes Navigaasjemenuwww.gov.ukOffisjele webside fan it regear fan it Feriene KeninkrykOffisjele webside fan it Britske FerkearsburoNederlânsktalige ynformaasje fan it Britske FerkearsburoOffisjele webside fan English Heritage, de organisaasje dy't him ynset foar it behâld fan it Ingelske kultuergoedYnwennertallen fan alle Britske stêden út 'e folkstelling fan 2011Notes en References, op dizze sideEngland

          Boston (Lincolnshire) Stedsbyld | Berne yn Boston | NavigaasjemenuBoston Borough CouncilBoston, Lincolnshire