Search embeddings with vector search

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This tutorial shows you how to search embeddings stored in BigQuery tables by using the VECTOR_SEARCH function and optionally a vector index.

Required permissions

To run this tutorial, you need the following Identity and Access Management (IAM) permissions:

  • To create a dataset, you need the bigquery.datasets.create permission.
  • To create a table, you need the following permissions:

    • bigquery.tables.create
    • bigquery.tables.updateData
    • bigquery.jobs.create
  • To create a vector index, you need the bigquery.tables.createIndex permission on the table where you're creating the index.

  • To drop a vector index, you need the bigquery.tables.deleteIndex permission on the table where you're dropping the index.

Each of the following predefined IAM roles includes the permissions that you need to work with vector indexes:

  • BigQuery Data Owner (roles/bigquery.dataOwner)
  • BigQuery Data Editor (roles/bigquery.dataEditor)

Costs

In this document, you use the following billable components of Google Cloud:

  • BigQuery: You incur costs for index storage and data processing in BigQuery.

To generate a cost estimate based on your projected usage, use the pricing calculator. New Google Cloud users might be eligible for a free trial.

For more information, see BigQuery pricing.

Before you begin

  1. In the Google Cloud console, on the project selector page, select or create a Google Cloud project.

    Go to project selector

  2. Make sure that billing is enabled for your Google Cloud project.

  3. Enable the BigQuery API.

    Enable the API

Create a dataset

Create a BigQuery dataset:

  1. In the Google Cloud console, go to the BigQuery page.

    Go to the BigQuery page

  2. In the Explorer pane, click your project name.

  3. Click View actions > Create dataset.

    Create dataset.

  4. On the Create dataset page, do the following:

    • For Dataset ID, enter vector_search.

    • For Location type, select Multi-region, and then select US (multiple regions in United States).

      The public datasets are stored in the US multi-region. For simplicity, store your dataset in the same location.

    • Leave the remaining default settings as they are, and click Create dataset.

Create test tables

  1. Create the patents table that contains patents embeddings, based on a subset of the Google Patents public dataset:

    CREATE TABLE vector_search.patents AS
    SELECT * FROM `patents-public-data.google_patents_research.publications`
    WHERE ARRAY_LENGTH(embedding_v1) > 0
     AND publication_number NOT IN ('KR-20180122872-A')
    LIMIT 1000000;
    
  2. Create the patents2 table that contains a patent embedding to find nearest neighbors for:

    CREATE TABLE vector_search.patents2 AS
    SELECT * FROM `patents-public-data.google_patents_research.publications`
    WHERE publication_number = 'KR-20180122872-A';
    

Create a vector index

  1. Create the my_index vector index on the embeddings_v1 column of the patents table:

    CREATE VECTOR INDEX my_index ON vector_search.patents(embedding_v1)
    OPTIONS(distance_type='COSINE', index_type='IVF', ivf_options='{"num_lists": 1000}');
    
  2. Wait several minutes for the vector index to be created, then run the following query and confirm that the coverage_percentage value is 100:

    SELECT * FROM vector_search.INFORMATION_SCHEMA.VECTOR_INDEXES;
    

Use the VECTOR_SEARCH function with an index

After the vector index is created and populated, use the VECTOR_SEARCH function to find the nearest neighbor for the embedding in the embedding_v1 column in the patents2 table. This query uses the vector index in the search, so VECTOR_SEARCH uses an Approximate Nearest Neighbor method to find the embedding's nearest neighbor:

SELECT query.publication_number AS query_publication_number,
  query.title AS query_title,
  base.publication_number AS base_publication_number,
  base.title AS base_title,
  distance
FROM
  VECTOR_SEARCH(
    TABLE vector_search.patents,
    'embedding_v1',
    TABLE vector_search.patents2,
    top_k => 5,
    distance_type => 'COSINE',
    options => '{"fraction_lists_to_search": 0.005}');

The results look similar to the following:

+--------------------------+-------------------------------------------------------------+-------------------------+--------------------------------------------------------------------------------------------------------------------------+---------------------+
| query_publication_number |                         query_title                         | base_publication_number |                                                        base_title                                                        |      distance       |
+--------------------------+-------------------------------------------------------------+-------------------------+--------------------------------------------------------------------------------------------------------------------------+---------------------+
| KR-20180122872-A         | Rainwater management system based on rainwater keeping unit | CN-106599080-B          | A kind of rapid generation for keeping away big vast transfer figure based on GIS                                        | 0.14471956347590609 |
| KR-20180122872-A         | Rainwater management system based on rainwater keeping unit | CN-114118544-A          | Urban waterlogging detection method and device                                                                           | 0.17472108931171348 |
| KR-20180122872-A         | Rainwater management system based on rainwater keeping unit | KR-20200048143-A        | Method and system for mornitoring dry stream using unmanned aerial vehicle                                               | 0.17561990745619782 |
| KR-20180122872-A         | Rainwater management system based on rainwater keeping unit | KR-101721695-B1         | Urban Climate Impact Assessment method of Reflecting Urban Planning Scenarios and Analysis System using the same         | 0.17696129365559843 |
| KR-20180122872-A         | Rainwater management system based on rainwater keeping unit | CN-109000731-B          | The experimental rig and method that research inlet for stom water chocking-up degree influences water discharged amount | 0.17902723269642917 |
+--------------------------+-------------------------------------------------------------+-------------------------+--------------------------------------------------------------------------------------------------------------------------+---------------------+

Use the VECTOR_SEARCH function with brute force

Use the VECTOR_SEARCH function to find the nearest neighbor for the embedding in the embedding_v1 column in the patents2 table. This query doesn't use the vector index in the search, so VECTOR_SEARCH finds the embedding's exact nearest neighbor:

SELECT query.publication_number AS query_publication_number,
  query.title AS query_title,
  base.publication_number AS base_publication_number,
  base.title AS base_title,
  distance
FROM
  VECTOR_SEARCH(
    TABLE vector_search.patents,
    'embedding_v1',
    TABLE vector_search.patents2,
    top_k => 5,
    distance_type => 'COSINE',
    options => '{"use_brute_force":true}');

The results look similar to the following:

+--------------------------+-------------------------------------------------------------+-------------------------+--------------------------------------------------------------------------------------------------------------------------+---------------------+
| query_publication_number |                         query_title                         | base_publication_number |                                                        base_title                                                        |      distance       |
+--------------------------+-------------------------------------------------------------+-------------------------+--------------------------------------------------------------------------------------------------------------------------+---------------------+
| KR-20180122872-A         | Rainwater management system based on rainwater keeping unit | CN-106599080-B          | A kind of rapid generation for keeping away big vast transfer figure based on GIS                                        |  0.1447195634759062 |
| KR-20180122872-A         | Rainwater management system based on rainwater keeping unit | CN-114118544-A          | Urban waterlogging detection method and device                                                                           |  0.1747210893117136 |
| KR-20180122872-A         | Rainwater management system based on rainwater keeping unit | KR-20200048143-A        | Method and system for mornitoring dry stream using unmanned aerial vehicle                                               | 0.17561990745619782 |
| KR-20180122872-A         | Rainwater management system based on rainwater keeping unit | KR-101721695-B1         | Urban Climate Impact Assessment method of Reflecting Urban Planning Scenarios and Analysis System using the same         | 0.17696129365559843 |
| KR-20180122872-A         | Rainwater management system based on rainwater keeping unit | CN-109000731-B          | The experimental rig and method that research inlet for stom water chocking-up degree influences water discharged amount | 0.17902723269642928 |
+--------------------------+-------------------------------------------------------------+-------------------------+--------------------------------------------------------------------------------------------------------------------------+---------------------+

Evaluate recall

When you perform a vector search with an index, it returns approximate results, with the trade-off of reducing recall. You can compute recall by comparing the results returned by vector search with an index and by vector search with brute force. In this dataset, the publication_number value uniquely identifies a patent, so it is used for comparison.

WITH approx_results AS (
  SELECT query.publication_number AS query_publication_number,
    base.publication_number AS base_publication_number
  FROM
    VECTOR_SEARCH(
      TABLE vector_search.patents,
      'embedding_v1',
      TABLE vector_search.patents2,
      top_k => 5,
      distance_type => 'COSINE',
      options => '{"fraction_lists_to_search": 0.005}')
),
  exact_results AS (
  SELECT query.publication_number AS query_publication_number,
    base.publication_number AS base_publication_number
  FROM
    VECTOR_SEARCH(
      TABLE vector_search.patents,
      'embedding_v1',
      TABLE vector_search.patents2,
      top_k => 5,
      distance_type => 'COSINE',
      options => '{"use_brute_force":true}')
)

SELECT
  a.query_publication_number,
  SUM(CASE WHEN a.base_publication_number = e.base_publication_number THEN 1 ELSE 0 END) / 5 AS recall
FROM exact_results e LEFT JOIN approx_results a
  ON e.query_publication_number = a.query_publication_number
GROUP BY a.query_publication_number

If the recall is lower than you would like, you can increase the fraction_lists_to_search value, with the downside of potentially higher latency and resource usage. To tune your vector search, you can try multiple runs of VECTOR_SEARCH with different argument values, save the results to tables, and then compare the results.

Clean up

  1. In the Google Cloud console, go to the Manage resources page.

    Go to Manage resources

  2. In the project list, select the project that you want to delete, and then click Delete.
  3. In the dialog, type the project ID, and then click Shut down to delete the project.