diff --git a/langchain/vectorstores/base.py b/langchain/vectorstores/base.py
index 5f618dce0f0..29fe1f3cb04 100644
--- a/langchain/vectorstores/base.py
+++ b/langchain/vectorstores/base.py
@@ -81,17 +81,17 @@ class VectorStore(ABC):
     ) -> List[Document]:
         """Return docs most similar to query."""
 
-    def similarity_search_with_normalized_similarities(
+    def similarity_search_with_relevance_scores(
         self,
         query: str,
         k: int = 4,
         **kwargs: Any,
     ) -> List[Tuple[Document, float]]:
-        """Return docs and similarity scores, normalized on a scale from 0 to 1.
+        """Return docs and relevance scores in the range [0, 1].
 
         0 is dissimilar, 1 is most similar.
         """
-        docs_and_similarities = self._similarity_search_with_normalized_similarities(
+        docs_and_similarities = self._similarity_search_with_relevance_scores(
             query, k=k, **kwargs
         )
         if any(
@@ -99,18 +99,18 @@ class VectorStore(ABC):
             for _, similarity in docs_and_similarities
         ):
             raise ValueError(
-                "Normalized similarity scores must be between"
+                "Relevance scores must be between"
                 f" 0 and 1, got {docs_and_similarities}"
             )
         return docs_and_similarities
 
-    def _similarity_search_with_normalized_similarities(
+    def _similarity_search_with_relevance_scores(
         self,
         query: str,
         k: int = 4,
         **kwargs: Any,
     ) -> List[Tuple[Document, float]]:
-        """Return docs and similarity scores, normalized on a scale from 0 to 1.
+        """Return docs and relevance scores, normalized on a scale from 0 to 1.
 
         0 is dissimilar, 1 is most similar.
         """
diff --git a/langchain/vectorstores/faiss.py b/langchain/vectorstores/faiss.py
index 3d76b377cb6..4530a8cfafc 100644
--- a/langchain/vectorstores/faiss.py
+++ b/langchain/vectorstores/faiss.py
@@ -1,6 +1,7 @@
 """Wrapper around FAISS vector database."""
 from __future__ import annotations
 
+import math
 import pickle
 import uuid
 from pathlib import Path
@@ -29,6 +30,20 @@ def dependable_faiss_import() -> Any:
     return faiss
 
 
+def _default_normalize_score_fn(score: float) -> float:
+    """Return a similarity score on a scale [0, 1]."""
+    # The 'correct' normalization function
+    # may differ depending on a few things, including:
+    # - the distance / similarity metric used by the VectorStore
+    # - the scale of your embeddings (OpenAI's are unit normed. Many others are not!)
+    # - embedding dimensionality
+    # - etc.
+    # This function converts the euclidean norm of normalized embeddings
+    # (0 is most similar, sqrt(2) most dissimilar)
+    # to a similarity function (0 to 1)
+    return 1.0 - score / math.sqrt(2)
+
+
 class FAISS(VectorStore):
     """Wrapper around FAISS vector database.
 
@@ -48,7 +63,9 @@ class FAISS(VectorStore):
         index: Any,
         docstore: Docstore,
         index_to_docstore_id: Dict[int, str],
-        normalize_score_fn: Optional[Callable[[float], float]] = None,
+        normalize_score_fn: Optional[
+            Callable[[float], float]
+        ] = _default_normalize_score_fn,
     ):
         """Initialize with necessary components."""
         self.embedding_function = embedding_function
@@ -424,7 +441,7 @@ class FAISS(VectorStore):
             docstore, index_to_docstore_id = pickle.load(f)
         return cls(embeddings.embed_query, index, docstore, index_to_docstore_id)
 
-    def _similarity_search_with_normalized_similarities(
+    def _similarity_search_with_relevance_scores(
         self,
         query: str,
         k: int = 4,
diff --git a/tests/integration_tests/vectorstores/test_faiss.py b/tests/integration_tests/vectorstores/test_faiss.py
index e5b27532e44..2da963cded4 100644
--- a/tests/integration_tests/vectorstores/test_faiss.py
+++ b/tests/integration_tests/vectorstores/test_faiss.py
@@ -112,7 +112,7 @@ def test_faiss_local_save_load() -> None:
     assert new_docsearch.index is not None
 
 
-def test_faiss_similarity_search_with_normalized_similarities() -> None:
+def test_faiss_similarity_search_with_relevance_scores() -> None:
     """Test the similarity search with normalized similarities."""
     texts = ["foo", "bar", "baz"]
     docsearch = FAISS.from_texts(
@@ -120,7 +120,7 @@ def test_faiss_similarity_search_with_normalized_similarities() -> None:
         FakeEmbeddings(),
         normalize_score_fn=lambda score: 1.0 - score / math.sqrt(2),
     )
-    outputs = docsearch.similarity_search_with_normalized_similarities("foo", k=1)
+    outputs = docsearch.similarity_search_with_relevance_scores("foo", k=1)
     output, score = outputs[0]
     assert output == Document(page_content="foo")
     assert score == 1.0
@@ -135,7 +135,7 @@ def test_faiss_invalid_normalize_fn() -> None:
     with pytest.raises(
         ValueError, match="Normalized similarity scores must be between 0 and 1"
     ):
-        docsearch.similarity_search_with_normalized_similarities("foo", k=1)
+        docsearch.similarity_search_with_relevance_scores("foo", k=1)
 
 
 def test_missing_normalize_score_fn() -> None:
@@ -143,4 +143,4 @@ def test_missing_normalize_score_fn() -> None:
     with pytest.raises(ValueError):
         texts = ["foo", "bar", "baz"]
         faiss_instance = FAISS.from_texts(texts, FakeEmbeddings())
-        faiss_instance.similarity_search_with_normalized_similarities("foo", k=2)
+        faiss_instance.similarity_search_with_relevance_scores("foo", k=2)