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      What I call "scores"  are usually log likelihoods or log
      probabilities, sometimes scaled in some fashion.   lattice-tool
      does not care about the probabilistic interpretation of such
      scores, it just combines the scores according to their weights and
      finds the path with the highest overall score.<br>
      <br>
      In the case of HTK lattices, the scores typically encoded in the
      lattices are acoustic model (a=), ngram model (n=), general
      language model (l=), and sometimes pronunciation weights (r=). <br>
      The HTK lattice format has been generalized to allow up to 9
      additional scores to be encoded (x1= through x9=) on nodes or
      links.<br>
      <br>
      The header of the lattice file can define the weights for these
      scores (acscale=, ngscale=, lmscale=, prscale=).  There is also a
      word insertion penalty (wdpenalty=) that implies a constant
      additional score on each word hypothesis.<br>
      <br>
      Score weights can be overridden on the command line (-htk-scscale,
      -htk-lmscale, etc.).  If no score weights are given they default
      to 1 (or 0 for the word penalty).<br>
      <br>
      If you specify an external language model that will override the
      l= (general lm) scores in the lattice, but that is optional.<br>
      <br>
      lattice-tool will generate an aggregate score from the weighted
      combination of all scores, and decode the lattice path with the
      highest overall score (from both nodes and links).<br>
      <br>
      Andreas<br>
      <br>
      <br>
      On 6/6/2018 2:44 PM, Andreas Stolcke wrote:<br>
    </div>
    <blockquote type="cite"
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        <p class="MsoNormal"><o:p> </o:p></p>
        <p class="MsoNormal"><b>From:</b> Michael Campbell
          <a class="moz-txt-link-rfc2396E" href="mailto:mcampbell@veritone.com"><mcampbell@veritone.com></a> <br>
          <b>Sent:</b> Wednesday, June 6, 2018 2:31 PM<br>
          <b>To:</b> Andreas Stolcke
          <a class="moz-txt-link-rfc2396E" href="mailto:Andreas.Stolcke@microsoft.com"><Andreas.Stolcke@microsoft.com></a><br>
          <b>Subject:</b> Re: question about lattice-tool<o:p></o:p></p>
        <p class="MsoNormal"><o:p> </o:p></p>
        <div>
          <p class="MsoNormal">By scores, you mean probabilities of
            words?<o:p></o:p></p>
          <div>
            <p class="MsoNormal"><o:p> </o:p></p>
          </div>
          <div>
            <p class="MsoNormal">The lattice I input consists of edges
              representing multiple word candidates per time step =
              node.  I use the HTK lattice format and do not assign any
              probabilities to edges in my lattice.<o:p></o:p></p>
          </div>
          <div>
            <p class="MsoNormal"><o:p> </o:p></p>
          </div>
          <div>
            <p class="MsoNormal">For example,<o:p></o:p></p>
          </div>
          <div>
            <p class="MsoNormal"><o:p> </o:p></p>
          </div>
          <div>
            <pre><i><span style="font-size:9.0pt;font-family:"Menlo",serif;color:gray">         __their_____
        /            \ 
       *----there----*---going---*
   t=0 \____they're_/t=1        t=2</span></i><span style="font-size:9.0pt;font-family:"Menlo",serif;color:black"><o:p></o:p></span></pre>
            <pre><span style="font-size:9.0pt;font-family:"Menlo",serif;color:black"><o:p> </o:p></span></pre>
            <pre><span style="font-size:12.0pt;font-family:"Arial",sans-serif;color:#222222">I thought lattice-tool would choose the path of highest probability based on a built-in language model.  For example, that it would produce output from above as "they're going" since it would have the highest probability.</span><span style="font-size:9.0pt;font-family:"Menlo",serif;color:black"><o:p></o:p></span></pre>
            <pre><span style="font-size:12.0pt;font-family:"Arial",sans-serif;color:#222222">It is interesting that lattice-tool *does* produce output for such a lattice (without probabilities or scores).  How does it compute that output?</span><span style="font-size:9.0pt;font-family:"Menlo",serif;color:black"><o:p></o:p></span></pre>
            <pre><span style="font-size:9.0pt;font-family:"Menlo",serif;color:black"><o:p> </o:p></span></pre>
            <pre><span style="font-size:12.0pt;font-family:"Arial",sans-serif;color:#222222">best,</span><span style="font-size:9.0pt;font-family:"Menlo",serif;color:black"><o:p></o:p></span></pre>
            <pre><span style="font-size:12.0pt;font-family:"Arial",sans-serif;color:#222222">Mike </span><span style="font-size:9.0pt;font-family:"Menlo",serif;color:black"><o:p></o:p></span></pre>
          </div>
        </div>
        <div>
          <p class="MsoNormal"><o:p> </o:p></p>
          <div>
            <p class="MsoNormal">On Wed, Jun 6, 2018 at 1:27 PM, Andreas
              Stolcke <<a href="mailto:Andreas.Stolcke@microsoft.com"
                target="_blank" moz-do-not-send="true">Andreas.Stolcke@microsoft.com</a>>
              wrote:<o:p></o:p></p>
            <blockquote style="border:none;border-left:solid #CCCCCC
              1.0pt;padding:0in 0in 0in
              6.0pt;margin-left:4.8pt;margin-right:0in">
              <div>
                <div>
                  <p class="MsoNormal"
                    style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">Michael,<o:p></o:p></p>
                  <p class="MsoNormal"
                    style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
                  <p class="MsoNormal"
                    style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">Lattice-tool
                    does not require a language model.   If non is
                    given, the scores contained in the lattice will be
                    used for decoding (-viterbi-decode, -nbest-decode,
                    -posterior-decode) and confusion network building
                    (-write-mesh).<o:p></o:p></p>
                  <p class="MsoNormal"
                    style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
                  <p class="MsoNormal"
                    style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">Andreas<o:p></o:p></p>
                  <p class="MsoNormal"
                    style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
                  <p class="MsoNormal"
                    style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><b>From:</b>
                    Michael Campbell <<a
                      href="mailto:mcampbell@veritone.com"
                      target="_blank" moz-do-not-send="true">mcampbell@veritone.com</a>>
                    <br>
                    <b>Sent:</b> Wednesday, June 6, 2018 1:10 PM<br>
                    <b>To:</b> Andreas Stolcke <<a
                      href="mailto:Andreas.Stolcke@microsoft.com"
                      target="_blank" moz-do-not-send="true">Andreas.Stolcke@microsoft.com</a>><br>
                    <b>Subject:</b> question about lattice-tool<o:p></o:p></p>
                  <div>
                    <div>
                      <p class="MsoNormal"
                        style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
                      <div>
                        <p class="MsoNormal"
                          style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">Hello
                          Andreas,<o:p></o:p></p>
                        <div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
                        </div>
                        <div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">I
                            am using the SRILM "lattice-tool" utility,
                            for which you are listed as an author.<o:p></o:p></p>
                        </div>
                        <div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
                        </div>
                        <div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">I
                            am new to this, and the documentation does
                            not say whether or not "lattice-tool"
                            requires<o:p></o:p></p>
                        </div>
                        <div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">a
                            Language Model to be input in order to use
                            Viterbi or Posterior algorithms on a lattice
                            of words.<o:p></o:p></p>
                        </div>
                        <div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
                        </div>
                        <div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> 
                               * I created a lattice of words, and would
                            like to see the most probable sentence. <o:p></o:p></p>
                        </div>
                        <div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
                        </div>
                        <div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> 
                               * If I use Viterbi, I get a result,
                            <b>without using any language model options</b>.<o:p></o:p></p>
                        </div>
                        <div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
                        </div>
                        <div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
                        </div>
                        <div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><b>Does
                              "lattice-tool" use a built-in language
                              model to give that result, or is the
                              result 'nonsense' since I am not inputting
                              a language model into "lattice-tool"?   </b><o:p></o:p></p>
                        </div>
                        <div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
                        </div>
                        <div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">Thank
                            you very much for any feedback.<o:p></o:p></p>
                        </div>
                        <div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
                        </div>
                        <div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">All
                            the best,<o:p></o:p></p>
                        </div>
                        <div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">Mike<o:p></o:p></p>
                        </div>
                        <div>
                          <div>
                            <p class="MsoNormal"
                              style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
                          </div>
                          <p class="MsoNormal"
                            style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">--
                            <o:p></o:p></p>
                          <div>
                            <div>
                              <p
                                style="margin-bottom:30.0pt;line-height:13.5pt"><b><span
style="font-size:10.5pt;font-family:"Helvetica",sans-serif">Michael
                                    Campbell</span></b><span
                                  style="font-size:10.5pt;font-family:"Helvetica",sans-serif"><br>
                                  mcampbell<a
                                    href="mailto:youremail@veritone.com"
                                    target="_blank"
                                    moz-do-not-send="true"><span
                                      style="text-decoration:none">@veritone.com</span></a></span><o:p></o:p></p>
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                              <div>
                                <p class="MsoNormal"
                                  style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
                              </div>
                            </div>
                          </div>
                        </div>
                      </div>
                    </div>
                  </div>
                </div>
              </div>
            </blockquote>
          </div>
          <p class="MsoNormal"><br>
            <br clear="all">
            <o:p></o:p></p>
          <div>
            <p class="MsoNormal"><o:p> </o:p></p>
          </div>
          <p class="MsoNormal">-- <o:p></o:p></p>
          <div>
            <div>
              <p style="margin-bottom:30.0pt;line-height:13.5pt"><b><span
style="font-size:10.5pt;font-family:"Helvetica",sans-serif">Michael
                    Campbell</span></b><span
                  style="font-size:10.5pt;font-family:"Helvetica",sans-serif"><br>
                  mcampbell<a href="mailto:youremail@veritone.com"
                    target="_blank" moz-do-not-send="true"><span
                      style="text-decoration:none">@veritone.com</span></a><o:p></o:p></span></p>
              <p style="margin-bottom:7.5pt;line-height:13.5pt"><span
style="font-size:10.5pt;font-family:"Helvetica",sans-serif;color:black"><a
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                  <b>Veritone, Inc.</b><br>
                  575 Anton Blvd. Suite 100, Costa Mesa, CA. 92626<br>
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