Problem 1132. Create a recurrence matrix for a vector of data

Created by Alex Feinman

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In <a href="https://en.wikipedia.org/wiki/Conversation_analysis">conversation analysis</a>, it's often useful to track the contributions from each speaker to see who talks when. One measurement of engagement between a pair of conversants is to see if they talk to each other more than they talk to other people; for example, at a double date, two old friends might talk to each other more than they talk to their spouses.Assuming we've coded up the conversation data (e.g. using Gail Jefferson's <a href="http://mis.ucd.ie/wiki/JeffersonianTranscription">transcription methods</a>) and assigned a unique number to each participant, MATLAB makes an excellent tool to quickly gather some of these statistics.Given a vector of speaker observations V, where element V(i) indicates who spoke sentence i in the data, find how many times each element occurs directly after each other element. Note that since we may only be analyzing a part of a larger transcripts, not all speaker numbers may appear in the vector.Return a matrix containing this data, as well as the list of (ordered) unique elements.E.g., if V = [1 3 5 3 5 5], then<pre class="language-matlab">[R, U] = recurrence(V)
R =
 0 1 0
 0 0 2
 0 1 1
U =
 1 3 5
</pre>Such a tool will have other uses, of course.

In <https://en.wikipedia.org/wiki/Conversation_analysis conversation analysis>, it's often useful to track the contributions from each speaker to see who talks when. One measurement of engagement between a pair of conversants is to see if they talk to each other more than they talk to other people; for example, at a double date, two old friends might talk to each other more than they talk to their spouses.

Assuming we've coded up the conversation data (e.g. using Gail Jefferson's <http://mis.ucd.ie/wiki/JeffersonianTranscription transcription methods>) and assigned a unique number to each participant, MATLAB makes an excellent tool to quickly gather some of these statistics.

Given a vector of speaker observations V, where element _V(i)_ indicates who spoke sentence _i_ in the data, find how many times each element occurs directly after each other element. Note that since we may only be analyzing a part of a larger transcripts, not all speaker numbers may appear in the vector.

Return a matrix containing this data, as well as the list of (ordered) unique elements.

E.g., if V = [1 3 5 3 5 5], then

[R, U] = recurrence(V)
  R =
       0     1     0
       0     0     2
       0     1     1
  U =
       1     3     5
  
Such a tool will have other uses, of course.

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Problem 1132. Create a recurrence matrix for a vector of data

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