Updating the K-NN Filters documentation due to recent enhancements in… (#4987)

* Updating the K-NN Filters documentation due to recent enhancements in Efficient Filters

Signed-off-by: Navneet Verma <navneev@amazon.com>

* Fixed the review comments.

Signed-off-by: Navneet Verma <navneev@amazon.com>

* Apply suggestions from code review

Co-authored-by: kolchfa-aws <105444904+kolchfa-aws@users.noreply.github.com>
Signed-off-by: Navneet Verma <vermanavneet003@gmail.com>

* Apply suggestions from code review

Co-authored-by: Nathan Bower <nbower@amazon.com>
Signed-off-by: Navneet Verma <vermanavneet003@gmail.com>

* Update settings.md

Signed-off-by: Navneet Verma <navneev@amazon.com>

* Update _search-plugins/knn/settings.md

Signed-off-by: kolchfa-aws <105444904+kolchfa-aws@users.noreply.github.com>

---------

Signed-off-by: Navneet Verma <navneev@amazon.com>
Signed-off-by: Navneet Verma <vermanavneet003@gmail.com>
Signed-off-by: kolchfa-aws <105444904+kolchfa-aws@users.noreply.github.com>
Co-authored-by: kolchfa-aws <105444904+kolchfa-aws@users.noreply.github.com>
Co-authored-by: Nathan Bower <nbower@amazon.com>

_search-plugins/knn/filter-search-knn.md

@@ -13,7 +13,7 @@ To refine k-NN results, you can filter a k-NN search using one of the following
 
 - [Efficient k-NN filtering](#efficient-k-nn-filtering): This approach applies filtering _during_ the k-NN search, as opposed to before or after the k-NN search, which ensures that `k` results are returned (if there are at least `k` results in total). This approach is supported by the following engines:
   - Lucene engine with a Hierarchical Navigable Small World (HNSW) algorithm (k-NN plugin versions 2.4 and later) 
-  - Faiss engine with an HNSW algorithm (k-NN plugin versions 2.9 or later) 
+  - Faiss engine with an HNSW algorithm (k-NN plugin versions 2.9 and later) or IVF algorithm (k-NN plugin versions 2.10 and later)
 
 -  [Post-filtering](#post-filtering): Because it is performed after the k-NN search, this approach may return significantly fewer than `k` results for a restrictive filter. You can use the following two filtering strategies for this approach:
     - [Boolean post-filter](#boolean-filter-with-ann-search): This approach runs an [approximate nearest neighbor (ANN)]({{site.url}}{{site.baseurl}}/search-plugins/knn/approximate-knn/) search and then applies a filter to the results. The two query parts are executed independently, and then the results are combined based on the query operator (`should`, `must`, and so on) provided in the query. 
@@ -25,7 +25,7 @@ The following table summarizes the preceding filtering use cases.
 
 Filter | When the filter is applied | Type of search | Supported engines and methods | Where to place the `filter` clause
 :--- | :--- | :--- | :---
-Efficient k-NN filtering | During search (a hybrid of pre- and post-filtering) | Approximate | - `lucene` (`hnsw`) <br> - `faiss` (`hnsw`) | Inside the k-NN query clause.
+Efficient k-NN filtering | During search (a hybrid of pre- and post-filtering) | Approximate | - `lucene` (`hnsw`) <br> - `faiss` (`hnsw`, `ivf`) | Inside the k-NN query clause.
 Boolean filter | After search (post-filtering) | Approximate | - `lucene`<br> - `nmslib`<br> - `faiss` | Outside the k-NN query clause. Must be a leaf clause.
 The `post_filter` parameter | After search (post-filtering) | Approximate | - `lucene`<br> - `nmslib`<br> - `faiss` | Outside the k-NN query clause. 
 Scoring script filter | Before search (pre-filtering) | Exact | N/A | Inside the script score query clause.
@@ -42,12 +42,12 @@ Once you've estimated the number of documents in your index, the restrictiveness
 
 | Number of documents in an index | Percentage of documents the filter returns | k | Filtering method to use for higher recall | Filtering method to use for lower latency |
 | :-- | :-- | :-- | :-- | :-- |
-| 10M | 2.5 | 100 | Scoring script | Scoring script |
-| 10M | 38 | 100 | Efficient k-NN filtering | Boolean filter |
-| 10M | 80 | 100 | Scoring script | Efficient k-NN filtering |
-| 1M | 2.5 | 100 | Efficient k-NN filtering | Scoring script |
-| 1M | 38 | 100 | Efficient k-NN filtering | Efficient k-NN filtering/scoring script |
-| 1M | 80 | 100 | Efficient k-NN filtering | Boolean filter |
+| 10M | 2.5 | 100 | Efficient k-NN filtering/Scoring script | Scoring script |
+| 10M | 38 | 100 | Efficient k-NN filtering | Efficient k-NN filtering |
+| 10M | 80 | 100 | Efficient k-NN filtering | Efficient k-NN filtering |
+| 1M | 2.5 | 100 | Efficient k-NN filtering/Scoring script | Scoring script |
+| 1M | 38 | 100 | Efficient k-NN filtering | Efficient k-NN filtering |
+| 1M | 80 | 100 | Efficient k-NN filtering | Efficient k-NN filtering |
 
 ## Efficient k-NN filtering
 
@@ -261,13 +261,16 @@ For more ways to construct a filter, see [Constructing a filter](#constructing-a
 
 ### Faiss k-NN filter implementation 
 
-Starting with k-NN plugin version 2.9, you can use `faiss` filters for k-NN searches.
+For k-NN searches, you can use `faiss` filters with an HNSW algorithm (k-NN plugin versions 2.9 and later) or IVF algorithm (k-NN plugin versions 2.10 and later).
 
 When you specify a Faiss filter for a k-NN search, the Faiss algorithm decides whether to perform an exact k-NN search with pre-filtering or an approximate search with modified post-filtering. The algorithm uses the following variables:
 
 - N: The number of documents in the index.
 - P: The number of documents in the document subset after the filter is applied (P <= N).
 - k: The maximum number of vectors to return in the response.
+- R: The number of results returned after performing the filtered approximate nearest neighbor search.
+- FT (filtered threshold): An index-level threshold defined in the [`knn.advanced.filtered_exact_search_threshold` setting]({{site.url}}{{site.baseurl}}/search-plugins/knn/settings/) that specifies to switch to exact search.
+- MDC (max distance computations): The maximum number of distance computations allowed in exact search if `FT` (filtered threshold) is not set. This value cannot be changed.
 
 The following flow chart outlines the Faiss algorithm.
 
@@ -699,4 +702,4 @@ POST /hotels-index/_search
   }
 }
 ```
-{% include copy-curl.html %}
+{% include copy-curl.html %}

_search-plugins/knn/settings.md

@@ -21,5 +21,6 @@ Setting | Default | Description
 `knn.memory.circuit_breaker.limit` | 50% | The native memory limit for native library indexes. At the default value, if a machine has 100 GB of memory and the JVM uses 32 GB, the k-NN plugin uses 50% of the remaining 68 GB (34 GB). If memory usage exceeds this value, k-NN removes the least recently used native library indexes.
 `knn.memory.circuit_breaker.enabled` | true | Whether to enable the k-NN memory circuit breaker.
 `knn.plugin.enabled`| true | Enables or disables the k-NN plugin.
-`knn.model.index.number_of_shards`| 1 | Number of shards to use for the model system index, the OpenSearch index that stores the models used for Approximate k-NN Search.
-`knn.model.index.number_of_replicas`| 1 | Number of replica shards to use for the model system index. Generally, in a multi-node cluster, this should be at least 1 to increase stability.
+`knn.model.index.number_of_shards`| 1 | The number of shards to use for the model system index, the OpenSearch index that stores the models used for Approximate Nearest Neighbor (ANN) search.
+`knn.model.index.number_of_replicas`| 1 | The number of replica shards to use for the model system index. Generally, in a multi-node cluster, this should be at least 1 to increase stability.
+`knn.advanced.filtered_exact_search_threshold`| null | The threshold value for the filtered IDs that is used to switch to exact search during filtered ANN search. If the number of filtered IDs in a segment is less than this setting's value, exact search will be performed on the filtered IDs.