Algorithm to calculate a page importance based on its views / comments

Question

I need an algorithm that allows me to determine an appropriate field for my website\'s sitemap based on the page\'s views and comments count.

Answer 1

You mentioned doing this in an SQL query, so I'll give samples in that.

If you have a table/view Pages, something like this

Pages
-----
page_id:int
views:int  - indexed
comments:int - indexed

Then you can order them by writing

SELECT * FROM Pages
ORDER BY 
    (0.3+LOG10(10+views)/LOG10(10+(SELECT MAX(views) FROM Pages))) +       
    (0.7+LOG10(10+comments)/LOG10(10+(SELECT MAX(comments) FROM Pages)))

I've deliberately chosen unequal weighting between views and comments. A problem that can arise with keeping an equal weighting with views/comments is that the ranking becomes a self-fulfilling prophecy - a page is returned at the top of the list, so it's visited more often, and thus gets more points, so it's shown at the stop of the list, and it's visited more often, and it gets more points.... Putting more weight on on the comments reflects that these take real effort and show real interest.

The above formula will give you ranking based on all-time statistics. So an article that amassed the same number of views/comments in the last week as another article amassed in the last year will be given the same priority. It may make sense to repeat the formula, each time specifying a range of dates, and favoring pages with higher activity, e.g.

  0.3*(score for views/comments today) - live data
  0.3*(score for views/comments in the last week)
  0.25*(score for views/comments in the last month)
  0.15*(score for all views/comments, all time)

This will ensure that "hot" pages are given higher priority than similarly scored pages that haven't seen much action lately. All values apart from today's scores can be persisted in tables by scheduled stored procedures so that the database isn't having to aggregate many many comments/view stats. Only today's stats are computed "live". Taking it one step further, the ranking formula itself can be computed and stored for historical data by a stored procedure run daily.

EDIT: To get a strict range from 0.1 to 1.0, you would motify the formula like this. But I stress - this will only add overhead and is unecessary - the absolute values of priority are not important - only their relative values to other urls. The search engine uses these to answer the question, is URL A more important/relevant than URL B? It does this by comparing their priorities - which one is greatest - not their absolute values.

// unnormalized - x is some page id un(x) = 0.3*log(views(x)+10)/log(10+maxViews()) + 0.7*log(comments(x)+10)/log(10+maxComments()) // the original formula (now in pseudo code)

The maximum will be 1.0, the minimum will start at 1.0 and move downwards as more views/comments are made.

we define un(0) as the minimum value, i.e. (where views(x) and comments(x) are both 0 in the above formula)

To get a normalized formula from 0.1 to 1.0, you then compute n(x), the normalized priority for page x

                  (1.0-un(x)) * (un(0)-0.1)
  n(x) = un(x) -  -------------------------    when un(0) != 1.0
                          1.0-un(0)

       = 0.1 otherwise.