Skip to main content

Authors in a Markov matrix Part 2 (9) Experimental results: Which author do people find most inspiring?

This time is a follow up discussion of the result.

No link found problem


We have an impression there are some amount of Japanese author links that have no reference page in German Wikipedia. We didn't check the exact numbers, but while we debugged the program, we looked into several pages. A typical no link reference case is, for instance, a page mentioned about 良寛 (Ryōkan) has a link to Ryokan, or Sōseki link to Seseki, and so on. These special characters are often omitted, this causes no link reference found.

Cross reference between Wikipedia


It was relatively easy to make a cross reference list between English and German Wikipedia results since these Wikipedias share how to write the author names, i.e., using the Latin character set. However, Japanese Wikipedias uses Japanese characters for the author's name. For example, Lowis Carroll is ルイス・キャロル in Japanese Wikipedia. In Japanese Wikipedia has the information also in Latin characters, but, the Wiki page keys are all in Japanese. To make a cross reference table, we need to have a Japanese written name to Latin written name map. We could not find a easy way to do that this time, therefore, there is no cross reference between English and Japanese results, or between German and Japanese results. This is also a future work.

Correlating with other data


We have some discussion with our friends about these results. They have some interesting questions. Especially they are interested in correlating with some other data:

  • Correlating Nobel prize winner and PageRank results
  • Are there any correlation between Wikipedia's writer and PageRank result. For example, if a few specific Wikipedia writers are actively writing the articles, are there any bias of these Wikipedia writers bias in the PageRank results?

Johann Wolfgang von Goethe is 10th in Japanese Wiki


The rank of Johann Wolfgang von Goethe is 10th in Japanese Wikipedia. This is unexpectedly low for us. However, the total number of Japanese Wikipedia pages that can construct a valid graph is only 31. The number of pages is too low and a slightly different link structure may change the result. By the way, the first rank of German writers in Japanese Wikipedia is Gerhart Hauptmann.

This was a long article, but, now we are close to the end. Next time, I will present the conclusion of this theme.

Comments

Popular posts from this blog

Why A^{T}A is invertible? (2) Linear Algebra

Why A^{T}A has the inverse Let me explain why A^{T}A has the inverse, if the columns of A are independent. First, if a matrix is n by n, and all the columns are independent, then this is a square full rank matrix. Therefore, there is the inverse. So, the problem is when A is a m by n, rectangle matrix.  Strang's explanation is based on null space. Null space and column space are the fundamental of the linear algebra. This explanation is simple and clear. However, when I was a University student, I did not recall the explanation of the null space in my linear algebra class. Maybe I was careless. I regret that... Explanation based on null space This explanation is based on Strang's book. Column space and null space are the main characters. Let's start with this explanation. Assume  x  where x is in the null space of A .  The matrices ( A^{T} A ) and A share the null space as the following: This means, if x is in the null space of A , x is also in the null spa

Gauss's quote for positive, negative, and imaginary number

Recently I watched the following great videos about imaginary numbers by Welch Labs. https://youtu.be/T647CGsuOVU?list=PLiaHhY2iBX9g6KIvZ_703G3KJXapKkNaF I like this article about naming of math by Kalid Azad. https://betterexplained.com/articles/learning-tip-idea-name/ Both articles mentioned about Gauss, who suggested to use other names of positive, negative, and imaginary numbers. Gauss wrote these names are wrong and that is one of the reason people didn't get why negative times negative is positive, or, pure positive imaginary times pure positive imaginary is negative real number. I made a few videos about explaining why -1 * -1 = +1, too. Explanation: why -1 * -1 = +1 by pattern https://youtu.be/uD7JRdAzKP8 Explanation: why -1 * -1 = +1 by climbing a mountain https://youtu.be/uD7JRdAzKP8 But actually Gauss's insight is much powerful. The original is in the Gauß, Werke, Bd. 2, S. 178 . Hätte man +1, -1, √-1) nicht positiv, negative, imaginäre (oder gar um

Why parallelogram area is |ad-bc|?

Here is my question. The area of parallelogram is the difference of these two rectangles (red rectangle - blue rectangle). This is not intuitive for me. If you also think it is not so intuitive, you might interested in my slides. I try to explain this for hight school students. Slides:  A bit intuitive (for me) explanation of area of parallelogram  (to my site, external link) .