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Bloom filters are used to quickly check whether an element is part of a set.
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Xor and binary fuse filters are a faster and more concise alternative to Bloom filters.
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Furthermore, unlike Bloom filters, xor and binary fuse filters are naturally compressible using standard techniques (gzip, zstd, etc.).
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They are also smaller than cuckoo filters. They are used in [production systems](https://github.com/datafuselabs/databend).
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They are also smaller than cuckoo filters. They are used in [production systems](https://github.com/datafuselabs/databend). The Go xorfilter library is part of [Pebble](https://github.com/cockroachdb/pebble) (Cockroach Labs).
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* Thomas Mueller Graf, Daniel Lemire, [Binary Fuse Filters: Fast and Smaller Than Xor Filters](http://arxiv.org/abs/2201.01174), Journal of Experimental Algorithmics (to appear). DOI: 10.1145/3510449
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* Thomas Mueller Graf, Daniel Lemire, [Xor Filters: Faster and Smaller Than Bloom and Cuckoo Filters](https://arxiv.org/abs/1912.08258), Journal of Experimental Algorithmics 25 (1), 2020. DOI: 10.1145/3376122
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