Combining bloom filters? [combined summary]



Individual post summaries: Click here to read the original discussion on the bitcoin-dev mailing list

Published on: 2013-08-17T14:15:31+00:00


Summary:

In an email thread on the Bitcoin-development mailing list, Jeff Garzik asked whether it is possible to combine two bloom filters created by different wallets into a single filter. Pieter Wuille responded that, assuming both filters use the same seed and number of hash functions, combining them would result in a worse filter if they were already optimal for their given false positive rate.Bitcoinj's BloomFilter class allows for the combination of two filters under certain conditions. The filters must have the same parameters, including tweak, size, and hash count. A user posed a question on whether or not bloom filter A' and B' could be combined to form a single bloom filter C', to which Jeff Garzik, Senior Software Engineer and open source evangelist at BitPay, responded. This feature can be useful for wallet users who want to combine their filters for greater efficiency.The question posed by Jeff Garzik revolves around the possibility of merging two separate bloom filters built by different wallets. Specifically, wallet A builds bloom filter A' and wallet B builds bloom filter B'. The query is whether these two filters can be combined to form a single bloom filter C'. A bloom filter is a space-efficient probabilistic data structure that is used to test whether an element is a member of a set. It works by using a bit array where each bit has a random hash function associated with it. When an item is added to the filter, its hash value is calculated and the corresponding bits are set to 1. To check if an element is in the set, its hash value is calculated again and the corresponding bits are checked. If any of the bits are 0, then the element is definitely not in the set. Otherwise, it may or may not be in the set.The concept of merging bloom filters is not new and has been explored before. One approach is to simply OR the bit arrays of the two filters together. However, this may lead to false positives since the resulting filter will have more bits set to 1 than either of the individual filters. Another approach is to use a weighted union of the two filters, where the probability of a false positive is minimized.In conclusion, Jeff Garzik's question about merging bloom filters relates to the possibility of combining two distinct filters built by different wallets. Bloom filters are probabilistic data structures that use bit arrays and hash functions to determine if an element is in a set. Merging bloom filters can be done by OR-ing their bit arrays or by using a weighted union to minimize false positives. Additionally, the email thread also includes a promotional message for AppDynamics Lite, a troubleshooting tool designed for Java and .NET code, providing code-level detail for bottlenecks in production.


Updated on: 2023-08-01T05:39:43.668315+00:00