Vector Similarity Search for DuckDB
This is an experimental extension for DuckDB that adds indexing support to accelerate Vector Similarity Search using DuckDB's new fixed-size ARRAY
type added in version v0.10.0.
This extension is based on the usearch library and serves as a proof of concept for providing a custom index type, in this case a HNSW index, from within an extension and exposing it to DuckDB.
To create a new HNSW index on a table with an ARRAY
column, use the CREATE INDEX
statement with the USING HNSW
clause. For example:
CREATE TABLE my_vector_table (vec FLOAT[3]);
INSERT INTO my_vector_table SELECT array_value(a,b,c) FROM range(1,10) ra(a), range(1,10) rb(b), range(1,10) rc(c);
CREATE INDEX my_hnsw_index ON my_vector_table USING HNSW (vec);
The index will then be used to accelerate queries that use a ORDER BY
clause evaluating one of the supported distance metric functions against the indexed columns and a constant vector, followed by a LIMIT
clause. For example:
SELECT * FROM my_vector_table ORDER BY array_distance(vec, [1,2,3]::FLOAT[3]) LIMIT 3;
# We can verify that the index is being used by checking the EXPLAIN output
# and looking for the HNSW_INDEX_SCAN node in the plan
EXPLAIN SELECT * FROM my_vector_table ORDER BY array_distance(vec, [1,2,3]::FLOAT[3]) LIMIT 3;
┌───────────────────────────┐
│ PROJECTION │
│ ─ ─ ─ ─ ─ ─ ─ ─ ─ ─ ─ │
│ #0 │
└─────────────┬─────────────┘
┌─────────────┴─────────────┐
│ PROJECTION │
│ ─ ─ ─ ─ ─ ─ ─ ─ ─ ─ ─ │
│ vec │
│array_distance(vec, [1.0, 2│
│ .0, 3.0]) │
└─────────────┬─────────────┘
┌─────────────┴─────────────┐
│ HNSW_INDEX_SCAN │
│ ─ ─ ─ ─ ─ ─ ─ ─ ─ ─ ─ │
│ t1 (HNSW INDEX SCAN : │
│ my_idx) │
│ ─ ─ ─ ─ ─ ─ ─ ─ ─ ─ ─ │
│ vec │
│ ─ ─ ─ ─ ─ ─ ─ ─ ─ ─ ─ │
│ EC: 3 │
└───────────────────────────┘
By default the HNSW index will be created using the euclidean distance l2sq
(L2-norm squared) metric, matching DuckDBs array_distance
function, but other distance metrics can be used by specifying the metric
option during index creation. For example:
CREATE INDEX my_hnsw_cosine_index ON my_vector_table USING HNSW (vec) WITH (metric = 'cosine');
The following table shows the supported distance metrics and their corresponding DuckDB functions
Description | Metric | Function |
---|---|---|
Euclidean distance | l2sq |
array_distance |
Cosine similarity | cosine |
array_cosine_distance |
Inner product | ip |
array_negative_inner_product |
The HNSW index does support inserting, updating and deleting rows from the table after index creation. However, there are two things to keep in mind:
To address this, you can call the PRAGMA hnsw_compact_index('<index name>')
pragma function to trigger a re-compaction of the index pruning deleted items, or re-create the index after a significant number of updates.
FLOAT
s are supported at the moment.With that said, the index will be persisted into the database if you run DuckDB with a disk-backed database file. But there is no incremental updates, so every time DuckDB performs a checkpoint the entire index will be serialized to disk and overwrite its previous blocks. Similarly, the index will be deserialized back into main memory in its entirety after a restart of the database, although this will be deferred until you first access the table associated with the index. Depending on how large the index is, the deserialization process may take some time, but it should be faster than simply dropping and re-creating the index.
To build the extension, run:
make
The main binaries that will be built are:
./build/release/duckdb
./build/release/test/unittest
./build/release/extension/vss/vss.duckdb_extension
duckdb
is the binary for the duckdb shell with the extension code automatically loaded.unittest
is the test runner of duckdb. Again, the extension is already linked into the binary.vss.duckdb_extension
is the loadable binary as it would be distributed.To run the extension code, simply start the shell with ./build/release/duckdb
.
Thes SQL tests can be run using:
make test