if filter is not None:
                filter = {
                    key: [value] if not isinstance(value, list) else value
                    for key, value in filter.items()
                }
                if all(doc.metadata.get(key) in value for key, value in filter.items()):
                    docs.append((doc, scores[0][j]))
            else:
                docs.append((doc, scores[0][j]))
        score_threshold = kwargs.get("score_threshold")
        if score_threshold is not None:
            cmp = (
                operator.ge
                if self.distance_strategy
                in (DistanceStrategy.MAX_INNER_PRODUCT, DistanceStrategy.JACCARD)
                else operator.le
            )
            docs = [
                (doc, similarity)
                for doc, similarity in docs
                if cmp(similarity, score_threshold)
            ]
        return docs[:k]
[docs]    async def asimilarity_search_with_score_by_vector(
        self,
        embedding: List[float],
        k: int = 4,
        filter: Optional[Dict[str, Any]] = None,
        fetch_k: int = 20,
        **kwargs: Any,
    ) -> List[Tuple[Document, float]]:
        """Return docs most similar to query asynchronously.
        Args:
            embedding: Embedding vector to look up documents similar to.
            k: Number of Documents to return. Defaults to 4.
            filter (Optional[Dict[str, Any]]): Filter by metadata. Defaults to None.
            fetch_k: (Optional[int]) Number of Documents to fetch before filtering.
                      Defaults to 20.
            **kwargs: kwargs to be passed to similarity search. Can include:
                score_threshold: Optional, a floating point value between 0 to 1 to