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Vitali Fedulov 53c0313311
Update README.md 2024-04-06 03:29:37 +02:00
Vitali Fedulov af4edd7579
Update README.md 2024-03-20 22:51:11 +01:00
Vitali Fedulov 0cdc91b59c
- 2024-03-20 22:44:19 +01:00
Vitali Fedulov 8330dfbe44 - 2024-02-07 21:02:09 +01:00
Vitali Fedulov bd63fbbcd4 fnv.New64a test fix and README update 2024-02-07 20:55:42 +01:00
Vitali Fedulov 5e6500c206
- 2023-10-16 17:15:20 +02:00
Vitali Fedulov fc910b3659
Update README.md 2022-07-07 03:14:01 +02:00
4 changed files with 17 additions and 14 deletions

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@ -1,6 +1,6 @@
MIT License
Copyright (c) 2121 Vitali Fedulov (fedulov.vitali@gmail.com)
Copyright (c) 2021 Vitali Fedulov (fedulov.vitali@gmail.com)
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal

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@ -1,13 +1,16 @@
# Hashing float vectors in N-dimensions
# Hashing N-dimensional float vectors
Search nearest neighbour vectors in n-dimensional space with hashes. There are no dependencies in this package.
Each vestor is discretized into a set of hashes, as described [here](https://vitali-fedulov.github.io/similar.pictures/algorithm-for-hashing-high-dimensional-float-vectors.html) (also as [PDF](https://github.com/vitali-fedulov/research/blob/main/Algorithm%20for%20hashing%20float%20vectors.pdf)).
The algorithm is based on the assumption that two real numbers can be considered equal within certain equality distance. Then quantization is used for comparison. To make sure points near or at quantization borders are also comparable, a vector can be discretized into more than one hash, as described [here](https://vitali-fedulov.github.io/similar.pictures/algorithm-for-hashing-high-dimensional-float-vectors.html) (also as [PDF](https://github.com/vitali-fedulov/research/blob/main/Algorithm%20for%20hashing%20float%20vectors.pdf)). The method indirectly clusters given vectors by hypercubes.
Usage sequence:
1) CubeSet or CentralCube, depending which one is used for a database record and which one for a query.
2) HashSet and DecimalHash to get corresponding hash set and central hash from results of (2). If DecimalHash is not suitable because of very large number of buckets or dimensions, use FNV1aHash to get both the hash set and the central hash).
[Example](https://github.com/vitali-fedulov/images3/blob/master/hashes.go) of usage for image comparison.
[Go doc](https://pkg.go.dev/github.com/vitali-fedulov/hyper) for code documentation.
## How to use
1) Provided a float vector []float64, use `CubeSet` and `CentralCube` functions to generate hypercube coordinates []int. The difference between the two functions is that one corresponds to hash-table record and the other to a query or vice versa, depending on performance/memory preference.
2) `HashSet` and `DecimalHash`/`FNV1aHash` are used to get corresponding hash set and central hash from the hypercube coordinates above. There are 2 alternative hash functions: DecimalHash and FNV1aHash. DecimalHash does not have collisions, but is not suitable for cases with large number of buckets or dimensions. FNV1aHash is applicable for all cases.
[Example](https://github.com/vitali-fedulov/imagehash2/blob/main/hashes.go) for similar image search and clustering.
[Go doc](https://pkg.go.dev/github.com/vitali-fedulov/hyper) for full code documentation.

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@ -18,7 +18,7 @@ type Params struct {
// CubeSet returns a set of hypercubes, which represent
// fuzzy discretization of one n-dimensional vector,
// as described in
// https://vitali-fedulov.github.io/algorithm-for-hashing-high-dimensional-float-vectors.html
// https://vitali-fedulov.github.io/similar.pictures/algorithm-for-hashing-high-dimensional-float-vectors.html
// One hupercube is defined by bucket numbers in each dimension.
// min and max are minimum and maximum possible values of
// the vector components. The assumption is that min and max

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@ -17,7 +17,7 @@ func TestDecimalHash(t *testing.T) {
func TestFNV1aHash(t *testing.T) {
cube := Cube{5, 59, 255, 9, 7, 12, 22, 31}
hash := cube.FNV1aHash()
want := uint64(1659788114117494335)
want := uint64(6267598672213710911)
if hash != want {
t.Errorf(`Got %v, want %v.`, hash, want)
}
@ -31,10 +31,10 @@ func TestHashSet(t *testing.T) {
{1, 0, 8, 3, 0, 0, 9}}
hashSet := cubes.HashSet((Cube).FNV1aHash)
want := []uint64{
6172277127052188606,
3265650857171344968,
13730239218993256724,
6843127655045710906}
9211138565158515574,
6304441926533466432,
5296875461196147964,
13706017245957046114}
if !reflect.DeepEqual(hashSet, want) {
t.Errorf(`Got %v, want %v.`, hashSet, want)
}