用 Milvus 绘制 RAG 图

大型语言模型的广泛应用凸显了提高其响应准确性和相关性的重要性。检索增强生成（RAG）利用外部知识库增强了模型，提供了更多上下文信息，缓解了幻觉和知识不足等问题。然而，仅仅依靠简单的 RAG 范式有其局限性，尤其是在处理复杂的实体关系和多跳问题时，模型往往难以提供准确的答案。

将知识图谱（KG）引入 RAG 系统提供了一种新的解决方案。知识图谱以结构化的方式呈现实体及其关系，提供更精确的检索信息，帮助 RAG 更好地处理复杂的问题解答任务。KG-RAG 仍处于早期阶段，对于如何从 KG 中有效检索实体及其关系，以及如何将向量相似性搜索与图结构相结合，目前还没有达成共识。

在本笔记本中，我们介绍了一种简单但功能强大的方法，可大大提高该场景的性能。它是一种简单的 RAG 范式，先进行多向检索，然后重新排序，但它在逻辑上实现了 Graph RAG，并在处理多跳问题时达到了最先进的性能。让我们看看它是如何实现的。

前提条件

在运行本笔记本之前，请确保已安装以下依赖项：

$ pip install --upgrade --quiet pymilvus numpy scipy langchain langchain-core langchain-openai tqdm

如果您使用的是 Google Colab，要启用刚刚安装的依赖项，可能需要重启运行时（点击屏幕上方的 "运行时 "菜单，从下拉菜单中选择 "重启会话"）。

我们将使用 OpenAI 的模型。您应将api key OPENAI_API_KEY 作为环境变量。

import os

os.environ["OPENAI_API_KEY"] = "sk-***********"

导入必要的库和依赖项。

import numpy as np

from collections import defaultdict
from scipy.sparse import csr_matrix
from pymilvus import MilvusClient
from langchain_core.messages import AIMessage, HumanMessage
from langchain_core.prompts import ChatPromptTemplate, HumanMessagePromptTemplate
from langchain_core.output_parsers import StrOutputParser, JsonOutputParser
from langchain_openai import ChatOpenAI, OpenAIEmbeddings
from tqdm import tqdm

初始化 Milvus 客户端实例、LLM 和 Embeddings 模型。

milvus_client = MilvusClient(uri="./milvus.db")

llm = ChatOpenAI(
    model="gpt-4o",
    temperature=0,
)
embedding_model = OpenAIEmbeddings(model="text-embedding-3-small")

离线数据加载

数据准备

我们将以一个介绍伯努利系和欧拉系关系的纳米数据集为例进行演示。这个纳米数据集包含 4 个段落和一组相应的三元组，其中每个三元组包含一个主语、一个谓语和一个宾语。 实际上，您可以使用任何方法从自己的自定义语料库中提取三元组。

nano_dataset = [
    {
        "passage": "Jakob Bernoulli (1654–1705): Jakob was one of the earliest members of the Bernoulli family to gain prominence in mathematics. He made significant contributions to calculus, particularly in the development of the theory of probability. He is known for the Bernoulli numbers and the Bernoulli theorem, a precursor to the law of large numbers. He was the older brother of Johann Bernoulli, another influential mathematician, and the two had a complex relationship that involved both collaboration and rivalry.",
        "triplets": [
            ["Jakob Bernoulli", "made significant contributions to", "calculus"],
            [
                "Jakob Bernoulli",
                "made significant contributions to",
                "the theory of probability",
            ],
            ["Jakob Bernoulli", "is known for", "the Bernoulli numbers"],
            ["Jakob Bernoulli", "is known for", "the Bernoulli theorem"],
            ["The Bernoulli theorem", "is a precursor to", "the law of large numbers"],
            ["Jakob Bernoulli", "was the older brother of", "Johann Bernoulli"],
        ],
    },
    {
        "passage": "Johann Bernoulli (1667–1748): Johann, Jakob’s younger brother, was also a major figure in the development of calculus. He worked on infinitesimal calculus and was instrumental in spreading the ideas of Leibniz across Europe. Johann also contributed to the calculus of variations and was known for his work on the brachistochrone problem, which is the curve of fastest descent between two points.",
        "triplets": [
            [
                "Johann Bernoulli",
                "was a major figure of",
                "the development of calculus",
            ],
            ["Johann Bernoulli", "was", "Jakob's younger brother"],
            ["Johann Bernoulli", "worked on", "infinitesimal calculus"],
            ["Johann Bernoulli", "was instrumental in spreading", "Leibniz's ideas"],
            ["Johann Bernoulli", "contributed to", "the calculus of variations"],
            ["Johann Bernoulli", "was known for", "the brachistochrone problem"],
        ],
    },
    {
        "passage": "Daniel Bernoulli (1700–1782): The son of Johann Bernoulli, Daniel made major contributions to fluid dynamics, probability, and statistics. He is most famous for Bernoulli’s principle, which describes the behavior of fluid flow and is fundamental to the understanding of aerodynamics.",
        "triplets": [
            ["Daniel Bernoulli", "was the son of", "Johann Bernoulli"],
            ["Daniel Bernoulli", "made major contributions to", "fluid dynamics"],
            ["Daniel Bernoulli", "made major contributions to", "probability"],
            ["Daniel Bernoulli", "made major contributions to", "statistics"],
            ["Daniel Bernoulli", "is most famous for", "Bernoulli’s principle"],
            [
                "Bernoulli’s principle",
                "is fundamental to",
                "the understanding of aerodynamics",
            ],
        ],
    },
    {
        "passage": "Leonhard Euler (1707–1783) was one of the greatest mathematicians of all time, and his relationship with the Bernoulli family was significant. Euler was born in Basel and was a student of Johann Bernoulli, who recognized his exceptional talent and mentored him in mathematics. Johann Bernoulli’s influence on Euler was profound, and Euler later expanded upon many of the ideas and methods he learned from the Bernoullis.",
        "triplets": [
            [
                "Leonhard Euler",
                "had a significant relationship with",
                "the Bernoulli family",
            ],
            ["leonhard Euler", "was born in", "Basel"],
            ["Leonhard Euler", "was a student of", "Johann Bernoulli"],
            ["Johann Bernoulli's influence", "was profound on", "Euler"],
        ],
    },
]

我们构建实体和关系的方法如下：

• 实体是三元组中的主语或宾语，因此我们直接从三元组中提取它们。
• 在这里，我们通过直接连接主语、谓语和宾语来构建关系概念，中间留有空格。

我们还准备了一个 dict，用于将实体 id 映射到关系 id，以及另一个 dict，用于将关系 id 映射到通道 id，以备后用。

entityid_2_relationids = defaultdict(list)
relationid_2_passageids = defaultdict(list)

entities = []
relations = []
passages = []
for passage_id, dataset_info in enumerate(nano_dataset):
    passage, triplets = dataset_info["passage"], dataset_info["triplets"]
    passages.append(passage)
    for triplet in triplets:
        if triplet[0] not in entities:
            entities.append(triplet[0])
        if triplet[2] not in entities:
            entities.append(triplet[2])
        relation = " ".join(triplet)
        if relation not in relations:
            relations.append(relation)
            entityid_2_relationids[entities.index(triplet[0])].append(
                len(relations) - 1
            )
            entityid_2_relationids[entities.index(triplet[2])].append(
                len(relations) - 1
            )
        relationid_2_passageids[relations.index(relation)].append(passage_id)

数据插入

为实体、关系和段落创建 Milvus 集合。在我们的方法中，实体集合和关系集合作为图构建的主要集合，而段落集合则作为天真 RAG 检索比较或辅助用途。

embedding_dim = len(embedding_model.embed_query("foo"))


def create_milvus_collection(collection_name: str):
    if milvus_client.has_collection(collection_name=collection_name):
        milvus_client.drop_collection(collection_name=collection_name)
    milvus_client.create_collection(
        collection_name=collection_name,
        dimension=embedding_dim,
        consistency_level="Strong",
    )


entity_col_name = "entity_collection"
relation_col_name = "relation_collection"
passage_col_name = "passage_collection"
create_milvus_collection(entity_col_name)
create_milvus_collection(relation_col_name)
create_milvus_collection(passage_col_name)

将数据及其元数据信息插入 Milvus 集合，包括实体集合、关系集合和段落集合。元数据信息包括段落 id 和邻接实体或关系 id。

def milvus_insert(
    collection_name: str,
    text_list: list[str],
):
    batch_size = 512
    for row_id in tqdm(range(0, len(text_list), batch_size), desc="Inserting"):
        batch_texts = text_list[row_id : row_id + batch_size]
        batch_embeddings = embedding_model.embed_documents(batch_texts)

        batch_ids = [row_id + j for j in range(len(batch_texts))]
        batch_data = [
            {
                "id": id_,
                "text": text,
                "vector": vector,
            }
            for id_, text, vector in zip(batch_ids, batch_texts, batch_embeddings)
        ]
        milvus_client.insert(
            collection_name=collection_name,
            data=batch_data,
        )


milvus_insert(
    collection_name=relation_col_name,
    text_list=relations,
)

milvus_insert(
    collection_name=entity_col_name,
    text_list=entities,
)

milvus_insert(
    collection_name=passage_col_name,
    text_list=passages,
)

Inserting: 100%|███████████████████████████████████| 1/1 [00:00<00:00,  1.02it/s]
Inserting: 100%|███████████████████████████████████| 1/1 [00:00<00:00,  1.39it/s]
Inserting: 100%|███████████████████████████████████| 1/1 [00:00<00:00,  2.28it/s]

在线查询

相似性检索

我们根据输入的查询从 Milvus 中检索前 K 个相似实体和关系。

在进行实体检索时，我们应首先使用特定的方法（如 NER（命名实体识别））从查询文本中提取查询实体。为简单起见，我们在此准备了 NER 结果。实际上，您可以使用任何其他模型或方法从查询中提取实体。

query = "What contribution did the son of Euler's teacher make?"

query_ner_list = ["Euler"]
# query_ner_list = ner(query) # In practice, replace it with your custom NER approach

query_ner_embeddings = [
    embedding_model.embed_query(query_ner) for query_ner in query_ner_list
]

top_k = 3

entity_search_res = milvus_client.search(
    collection_name=entity_col_name,
    data=query_ner_embeddings,
    limit=top_k,
    output_fields=["id"],
)

query_embedding = embedding_model.embed_query(query)

relation_search_res = milvus_client.search(
    collection_name=relation_col_name,
    data=[query_embedding],
    limit=top_k,
    output_fields=["id"],
)[0]

扩展子图

我们使用检索到的实体和关系来展开子图并获得候选关系，然后通过两种方式将它们合并。下面是子图扩展过程的流程图：

在这里，我们构建了一个邻接矩阵，并使用矩阵乘法在几度内计算出邻接映射信息。通过这种方法，我们可以快速获取任意扩展度的信息。

# Construct the adjacency matrix of entities and relations where the value of the adjacency matrix is 1 if an entity is related to a relation, otherwise 0.
entity_relation_adj = np.zeros((len(entities), len(relations)))
for entity_id, entity in enumerate(entities):
    entity_relation_adj[entity_id, entityid_2_relationids[entity_id]] = 1

# Convert the adjacency matrix to a sparse matrix for efficient computation.
entity_relation_adj = csr_matrix(entity_relation_adj)

# Use the entity-relation adjacency matrix to construct 1 degree entity-entity and relation-relation adjacency matrices.
entity_adj_1_degree = entity_relation_adj @ entity_relation_adj.T
relation_adj_1_degree = entity_relation_adj.T @ entity_relation_adj

# Specify the target degree of the subgraph to be expanded.
# 1 or 2 is enough for most cases.
target_degree = 1

# Compute the target degree adjacency matrices using matrix multiplication.
entity_adj_target_degree = entity_adj_1_degree
for _ in range(target_degree - 1):
    entity_adj_target_degree = entity_adj_target_degree * entity_adj_1_degree
relation_adj_target_degree = relation_adj_1_degree
for _ in range(target_degree - 1):
    relation_adj_target_degree = relation_adj_target_degree * relation_adj_1_degree

entity_relation_adj_target_degree = entity_adj_target_degree @ entity_relation_adj

通过从目标度扩展矩阵中取值，我们可以很容易地从检索到的实体和关系中扩展出相应的度，从而得到子图的所有关系。

expanded_relations_from_relation = set()
expanded_relations_from_entity = set()
# You can set the similarity threshold here to guarantee the quality of the retrieved ones.
# entity_sim_filter_thresh = ...
# relation_sim_filter_thresh = ...

filtered_hit_relation_ids = [
    relation_res["entity"]["id"]
    for relation_res in relation_search_res
    # if relation_res['distance'] > relation_sim_filter_thresh
]
for hit_relation_id in filtered_hit_relation_ids:
    expanded_relations_from_relation.update(
        relation_adj_target_degree[hit_relation_id].nonzero()[1].tolist()
    )

filtered_hit_entity_ids = [
    one_entity_res["entity"]["id"]
    for one_entity_search_res in entity_search_res
    for one_entity_res in one_entity_search_res
    # if one_entity_res['distance'] > entity_sim_filter_thresh
]

for filtered_hit_entity_id in filtered_hit_entity_ids:
    expanded_relations_from_entity.update(
        entity_relation_adj_target_degree[filtered_hit_entity_id].nonzero()[1].tolist()
    )

# Merge the expanded relations from the relation and entity retrieval ways.
relation_candidate_ids = list(
    expanded_relations_from_relation | expanded_relations_from_entity
)

relation_candidate_texts = [
    relations[relation_id] for relation_id in relation_candidate_ids
]

我们通过扩展子图得到了候选关系，下一步将通过 LLM 对其进行重排。

LLM 重新排序

在这一阶段，我们利用 LLM 强大的自我关注机制来进一步过滤和完善候选关系集。我们采用一次性提示，将查询和候选关系集纳入提示中，并指示 LLM 选择有助于回答查询的潜在关系。鉴于某些查询可能比较复杂，我们采用了 "思维链 "方法，允许 LLM 在回复中阐明其思维过程。我们规定 LLM 的响应采用 json 格式，以便于解析。

query_prompt_one_shot_input = """I will provide you with a list of relationship descriptions. Your task is to select 3 relationships that may be useful to answer the given question. Please return a JSON object containing your thought process and a list of the selected relationships in order of their relevance.

Question:
When was the mother of the leader of the Third Crusade born?

Relationship descriptions:
[1] Eleanor was born in 1122.
[2] Eleanor married King Louis VII of France.
[3] Eleanor was the Duchess of Aquitaine.
[4] Eleanor participated in the Second Crusade.
[5] Eleanor had eight children.
[6] Eleanor was married to Henry II of England.
[7] Eleanor was the mother of Richard the Lionheart.
[8] Richard the Lionheart was the King of England.
[9] Henry II was the father of Richard the Lionheart.
[10] Henry II was the King of England.
[11] Richard the Lionheart led the Third Crusade.

"""
query_prompt_one_shot_output = """{"thought_process": "To answer the question about the birth of the mother of the leader of the Third Crusade, I first need to identify who led the Third Crusade and then determine who his mother was. After identifying his mother, I can look for the relationship that mentions her birth.", "useful_relationships": ["[11] Richard the Lionheart led the Third Crusade", "[7] Eleanor was the mother of Richard the Lionheart", "[1] Eleanor was born in 1122"]}"""

query_prompt_template = """Question:
{question}

Relationship descriptions:
{relation_des_str}

"""


def rerank_relations(
    query: str, relation_candidate_texts: list[str], relation_candidate_ids: list[str]
) -> list[int]:
    relation_des_str = "\n".join(
        map(
            lambda item: f"[{item[0]}] {item[1]}",
            zip(relation_candidate_ids, relation_candidate_texts),
        )
    ).strip()
    rerank_prompts = ChatPromptTemplate.from_messages(
        [
            HumanMessage(query_prompt_one_shot_input),
            AIMessage(query_prompt_one_shot_output),
            HumanMessagePromptTemplate.from_template(query_prompt_template),
        ]
    )
    rerank_chain = (
        rerank_prompts
        | llm.bind(response_format={"type": "json_object"})
        | JsonOutputParser()
    )
    rerank_res = rerank_chain.invoke(
        {"question": query, "relation_des_str": relation_des_str}
    )
    rerank_relation_ids = []
    rerank_relation_lines = rerank_res["useful_relationships"]
    id_2_lines = {}
    for line in rerank_relation_lines:
        id_ = int(line[line.find("[") + 1 : line.find("]")])
        id_2_lines[id_] = line.strip()
        rerank_relation_ids.append(id_)
    return rerank_relation_ids


rerank_relation_ids = rerank_relations(
    query,
    relation_candidate_texts=relation_candidate_texts,
    relation_candidate_ids=relation_candidate_ids,
)

获取最终结果

我们可以从 Rerankers 关系中获取最终检索到的段落。

final_top_k = 2

final_passages = []
final_passage_ids = []
for relation_id in rerank_relation_ids:
    for passage_id in relationid_2_passageids[relation_id]:
        if passage_id not in final_passage_ids:
            final_passage_ids.append(passage_id)
            final_passages.append(passages[passage_id])
passages_from_our_method = final_passages[:final_top_k]

我们可以将结果与天真的 RAG 方法进行比较，后者直接从 Collections 中检索出基于查询嵌入的 topK 段落。

naive_passage_res = milvus_client.search(
    collection_name=passage_col_name,
    data=[query_embedding],
    limit=final_top_k,
    output_fields=["text"],
)[0]
passages_from_naive_rag = [res["entity"]["text"] for res in naive_passage_res]

print(
    f"Passages retrieved from naive RAG: \n{passages_from_naive_rag}\n\n"
    f"Passages retrieved from our method: \n{passages_from_our_method}\n\n"
)


prompt = ChatPromptTemplate.from_messages(
    [
        (
            "human",
            """Use the following pieces of retrieved context to answer the question. If there is not enough information in the retrieved context to answer the question, just say that you don't know.
Question: {question}
Context: {context}
Answer:""",
        )
    ]
)

rag_chain = prompt | llm | StrOutputParser()

answer_from_naive_rag = rag_chain.invoke(
    {"question": query, "context": "\n".join(passages_from_naive_rag)}
)
answer_from_our_method = rag_chain.invoke(
    {"question": query, "context": "\n".join(passages_from_our_method)}
)

print(
    f"Answer from naive RAG: {answer_from_naive_rag}\n\nAnswer from our method: {answer_from_our_method}"
)

Passages retrieved from naive RAG: 
['Leonhard Euler (1707–1783) was one of the greatest mathematicians of all time, and his relationship with the Bernoulli family was significant. Euler was born in Basel and was a student of Johann Bernoulli, who recognized his exceptional talent and mentored him in mathematics. Johann Bernoulli’s influence on Euler was profound, and Euler later expanded upon many of the ideas and methods he learned from the Bernoullis.', 'Johann Bernoulli (1667–1748): Johann, Jakob’s younger brother, was also a major figure in the development of calculus. He worked on infinitesimal calculus and was instrumental in spreading the ideas of Leibniz across Europe. Johann also contributed to the calculus of variations and was known for his work on the brachistochrone problem, which is the curve of fastest descent between two points.']

Passages retrieved from our method: 
['Leonhard Euler (1707–1783) was one of the greatest mathematicians of all time, and his relationship with the Bernoulli family was significant. Euler was born in Basel and was a student of Johann Bernoulli, who recognized his exceptional talent and mentored him in mathematics. Johann Bernoulli’s influence on Euler was profound, and Euler later expanded upon many of the ideas and methods he learned from the Bernoullis.', 'Daniel Bernoulli (1700–1782): The son of Johann Bernoulli, Daniel made major contributions to fluid dynamics, probability, and statistics. He is most famous for Bernoulli’s principle, which describes the behavior of fluid flow and is fundamental to the understanding of aerodynamics.']


Answer from naive RAG: I don't know. The retrieved context does not provide information about the contributions made by the son of Euler's teacher.

Answer from our method: The son of Euler's teacher, Daniel Bernoulli, made major contributions to fluid dynamics, probability, and statistics. He is most famous for Bernoulli’s principle, which describes the behavior of fluid flow and is fundamental to the understanding of aerodynamics.

我们可以看到，从幼稚 RAG 方法中检索出的段落遗漏了一个地面实况段落，从而导致了错误的答案。 而从我们的方法中检索出的段落是正确的，这有助于得到问题的准确答案。