title: Understanding LDA Transformed Corpus in Gensim
body: <p>I tried to examine the contents of the BOW corpus vs. the LDA[BOW Corpus] (transformed by LDA model trained on that corpus with, say,  35 topics)
  I found the following output:</p>
  
  <pre><code>DOC 1 : [(1522, 1), (2028, 1), (2082, 1), (6202, 1)]  
  LDA 1 : [(29, 0.80571428571428572)]  
  DOC 2 : [(1522, 1), (5364, 1), (6202, 1), (6661, 1), (6983, 1)]  
  LDA 2 : [(29, 0.83809523809523812)]  
  DOC 3 : [(3079, 1), (3395, 1), (4874, 1)]  
  LDA 3 : [(34, 0.75714285714285712)]  
  DOC 4 : [(1482, 1), (2806, 1), (3988, 1)]  
  LDA 4 : [(22, 0.50714288283121989), (32, 0.25714283145449457)]  
  DOC 5 : [(440, 1), (533, 1), (1264, 1), (2433, 1), (3012, 1), (3902, 1), (4037, 1), (4502, 1), (5027, 1), (5723, 1)]  
  LDA 5 : [(12, 0.075870715371114297), (30, 0.088821329943986921), (31, 0.75219107156801579)]  
  DOC 6 : [(705, 1), (3156, 1), (3284, 1), (3555, 1), (3920, 1), (4306, 1), (4581, 1), (4900, 1), (5224, 1), (6156, 1)]  
  LDA 6 : [(6, 0.63896110435842401), (20, 0.18441557445724915), (28, 0.09350643806744402)]  
  DOC 7 : [(470, 1), (1434, 1), (1741, 1), (3654, 1), (4261, 1)]  
  LDA 7 : [(5, 0.17142855723258577), (13, 0.17142856888458904), (19, 0.50476192150187316)]  
  DOC 8 : [(2227, 1), (2290, 1), (2549, 1), (5102, 1), (7651, 1)]  
  LDA 8 : [(12, 0.16776844589094803), (19, 0.13980868559963203), (22, 0.1728575716782704), (28, 0.37194624921210206)]  
  </code></pre>
  
  <p>Where, 
      DOC N is the document from the BOW corpus 
      LDA N is the transformation of DOC N by that LDA model</p>
  
  <p>Am I correct in understanding the output for each transformed document "LDA N" to be the topics that the document N belongs to? By that understanding, I can see some documents like 4, 5, 6, 7 and 8 to belong to more than 1 topic like DOC 8 belongs to topics 12, 19, 22 and 28 with the respective probabilities.</p>
  
  <p>Could you please explain the output of LDA N and correct my understanding of this output, especially since in another thread <a href="https://groups.google.com/forum/#!msg/gensim/Vv7SSC8HR8k/nQGNRE9HjacJ" rel="noreferrer">HERE</a> - by the creator of Gensim himself, it's been mentioned that a document belongs to ONE topic? </p>