It's definitely a very valuable pass to make. It cuts down the combinatorics immensely, especially (as you said) if you can remove the most common words from the picture.

I implemented it myself, because I couldn't work out how to accumulate the partiton items on the fly using Graph::UnionFind--for good reason it seems:).

My homebrew implementation finds

  • 141 partitons in the 17576 keywords / 676 items set in .5 seconds.
  • 292 partitons in the 436697 keywords / 676 items set in 23 seconds.
  • 745 partitions in the 17676 keywords / 17676 items set in 18 seconds. 
    [22:56:47.23] P:\test>436050-2 -W=3 -I=2 -NODETAILS
Keywords: 16873
Items: 676
141 partitons found.

[22:56:47.81] P:\test>436050-2 -W=4 -I=2 -NODETAILS
Keywords: 438697
Items: 676
292 partitons found.

[22:57:10.23] P:\test>436050-2 -W=3 -I=3 -NODETAILS
Keywords: 16873
Items: 17576
745 partitons found.

[22:57:28.48] P:\test>

    [download]

    Which is good news because it means that it scales well in both directions.

    I tried the 438897K / 438697I combination, but even with avoiding the memory requirement of Gr::UnF's hashes, it still requires more memory than I have, and my disk is badly fragged so I am defragging it before trying again.

    Once you have partitioned, would you agree that it makes sense to do a pairwise combinations of the partitions and isolating those pairs within the partition that have nothing in common?

    Examine what is said, not who speaks.
    Silence betokens consent.
    Love the truth but pardon error.

    In reply to Re^7: algorithm for 'best subsets' by BrowserUk
    in thread algorithm for 'best subsets' by halley

    Title:
    Use:  <p> text here (a paragraph) </p>
    and:  <code> code here </code>
    to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.