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

Created by Alex Feinman

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>In</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Conversation_analysis\"><w:r><w:t>conversation analysis</w:t></w:r></w:hyperlink><w:r><w:t>, 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.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Assuming we've coded up the conversation data (e.g. using Gail Jefferson's</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://mis.ucd.ie/wiki/JeffersonianTranscription\"><w:r><w:t>transcription methods</w:t></w:r></w:hyperlink><w:r><w:t>) and assigned a unique number to each participant, MATLAB makes an excellent tool to quickly gather some of these statistics.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given a vector of speaker observations V, where element</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>V(i)</w:t></w:r><w:r><w:t> indicates who spoke sentence</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>i</w:t></w:r><w:r><w:t> 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.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Return a matrix containing this data, as well as the list of (ordered) unique elements.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>E.g., if V = [1 3 5 3 5 5], then</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[[R, U] = recurrence(V)\nR =\n 0 1 0\n 0 0 2\n 0 1 1\nU =\n 1 3 5]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Such a tool will have other uses, of course.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

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.

Solve

Solution Stats

29 Solutions
14 Solvers

Last Solution submitted on May 21, 2018

Last 200 Solutions

Problem Comments

Problem Recent Solvers14

Problem Tags

sequences

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

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

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers14

Suggested Problems

More from this Author3

Problem Tags

Community Treasure Hunt

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

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers14

Suggested Problems

More from this Author3

Problem Tags

Community Treasure Hunt

Players