✅ Перевірена відповідь на це питання доступна нижче. Наші рішення, перевірені спільнотою, допомагають краще зрозуміти матеріал.
You want to assess popularity (mis)calibration of a given recommender system using the popularity calibration metrics %Δ𝜉 ("Delta metrics") we discussed in the lecture.
The items in the interaction history Hu of user u have the following popularity estimates (e.g., total number of users who interacted with the item):
| i1 | i2 | i3 | i4 | i5 | |
| Hu | 1 | 5 | 13 | 2 | 4 |
The items in the recommendation list Ru of user u have the following popularity estimates (using the same underlying popularity definition as for Hu):
| i1 | i2 | i3 | i4 | i5 | i6 | i7 | i8 | i9 | i10 | |
| Ru | 8 | 10 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 9 |
Please calculate the popularity (mis)calibration of the recommender system for user u in terms of the %Δ𝜉 measure using the arithmetic mean for 𝜉 and reporting the result as percentage (like in the examples provided in the lecture).