README
¶
hnsw
Package hnsw implements Hierarchical Navigable Small World graphs in Go. You
can read up about how they work here. In essence,
they allow for fast approximate nearest neighbor searches with high-dimensional
vector data.
This package can be thought of as an in-memory alternative to your favorite vector database (e.g. Pinecone, Weaviate). Granted, it implements just the essential operations:
| Operation | Complexity | Description |
|---|---|---|
| Insert | $O(log(n))$ | Insert a vector into the graph |
| Delete | $O(M^2 \cdot log(n))$ | Delete a vector from the graph |
| Search | $O(log(n))$ | Search for the nearest neighbors of a vector |
| Lookup | $O(1)$ | Retrieve an object by ID |
Note: Complexities are approximate where $n$ is the number of vectors in the graph and $M$ is the maximum number of neighbors each node can have. This paper is a good resource for understanding the effect of the various construction parameters.
Usage:
g := hnsw.NewGraph[hnsw.Vector]()
g.Add(
hnsw.MakeVector("1", []float32{1, 1, 1}),
hnsw.MakeVector("2", []float32{1, -1, 0.999}),
hnsw.MakeVector("3", []float32{1, 0, -0.5}),
)
neighbors := g.Search(
[]float32{0.5, 0.5, 0.5},
1,
)
fmt.Printf("best friend: %v\n", neighbors[0].Embedding())
// Output: best friend: [1 1 1]
Performance
By and large the greatest effect you can have on the performance of the graph is reducing the dimensionality of your data. At 1536 dimensions (OpenAI default), 70% of the query process under default parameters is spent in the distance function.
Roadmap
- Implement durable, file-system backend
Documentation
¶
Index ¶
Constants ¶
This section is empty.
Variables ¶
This section is empty.
Functions ¶
func CosineDistance ¶
CosineDistance computes the cosine distance between two vectors.
func EuclideanDistance ¶
EuclideanDistance computes the Euclidean distance between two vectors.
Types ¶
type Analyzer ¶
type Analyzer[T Embeddable] struct { Graph *Graph[T] }
Analyzer is a struct that holds a graph and provides methods for analyzing it.
func (*Analyzer[T]) Connectivity ¶
Connectivity returns the average number of edges in the graph for each non-empty layer.
func (*Analyzer[T]) Topography ¶
Topography returns the number of nodes in each layer of the graph.
type DistanceFunc ¶
DistanceFunc is a function that computes the distance between two vectors.
type Embeddable ¶
type Embeddable interface {
// ID returns a unique identifier for the object.
ID() string
// Embedding returns the embedding of the object.
// float32 is used for compatibility with OpenAI embeddings.
Embedding() Embedding
}
Embeddable describes a type that can be embedded in a HNSW graph.
type Graph ¶
type Graph[T Embeddable] struct { // M is the maximum number of neighbors to keep for each node. M int // Distance is the distance function used to compare embeddings. Distance DistanceFunc // Ml is the level generation factor. E.g. 1 / log(Ml) is the probability // of adding a node to a level. Ml float64 // EfSearch is the number of nodes to consider in the search phase. EfSearch int // Rng is used for level generation. It may be set to a deterministic value // for reproducibility. Note that deterministic number generation can lead to // degenerate graphs when exposed to adversarial inputs. Rng *rand.Rand // contains filtered or unexported fields }
Graph is a Hierarchical Navigable Small World graph. All public parameters must be set before adding nodes to the graph.
func NewGraph ¶
func NewGraph[T Embeddable]() *Graph[T]
NewGraph returns a new graph with default parameters, roughly designed for storing OpenAI embeddings.
func (*Graph[T]) Add ¶
func (g *Graph[T]) Add(nodes ...T)
Add inserts nodes into the graph. If another node with the same ID exists, it is replaced.
func (*Graph[T]) Delete ¶
Delete removes a node from the graph by ID. It tries to preserve the clustering properties of the graph by replenishing the affected neighborhoods.
type Vector ¶
type Vector struct {
// contains filtered or unexported fields
}
Vector is a struct that holds an ID and an embedding and implements the Embeddable interface.
func MakeVector ¶
MakeVector creates a new Vector with the given ID and embedding.
Source Files
Directories