Thanks for the write up, Lucas. It was very intuitive and I learnt a lot.
I noticed that you used 5000 buckets to store the frequency of 7000 non-unique words in the section on 'Counting Bloom Filters'. How is that better than using 7000 buckets and a uniformly distributed hash function, which would maintain frequencies perfectly? We would be using fewer buckets by an order of magnitude in a real-world implementation to save memory.
I noticed that you used 5000 buckets to store the frequency of 7000 non-unique words in the section on 'Counting Bloom Filters'. How is that better than using 7000 buckets and a uniformly distributed hash function, which would maintain frequencies perfectly? We would be using fewer buckets by an order of magnitude in a real-world implementation to save memory.