This tree search framework hits 98.7% of the documents where the vector search fails



A new open-source framework called PageIndex solved one of the age-old problems of retrieval-augmented generation (RAG): handling very long documents.

The classic RAG workflow (chunk documents, calculate embeddings, store them in a vector database, and extract top matches based on semantic similarity) is good for basic tasks like Q&A on small documents.

PageIndex leaves the pattern "chunk-and-embed" method completely and treats document retrieval not as a search problem, but a navigation problem.

But as businesses try to move RAG into high-stakes workflows — auditing financial statements, analyzing legal contracts, navigating pharmaceutical protocols — they hit an accuracy hurdle that chunk optimization can’t solve.

AlphaGo for documents

PageIndex addresses these limitations by borrowing a concept from game-playing AI rather than search engines: tree search.

When people need to find specific information in a dense book or long annual report, they cannot scan each paragraph linearly. They consult the table of contents to find the appropriate chapter, then the section, and finally the specific page. PageIndex forces LLM to mimic this human behavior.

Instead of pre-calculating vectors, the framework builds a "Global Index" in the document structure, creates a tree where the nodes represent chapters, sections, and subsections. When a query arrives, LLM performs a tree search, clearly classifying each node as relevant or irrelevant based on the entire context of the user’s request.

"In computer science terms, the table of contents is a tree structure representation of a document, and navigating it is equivalent to searching the tree," Zhang said. "PageIndex applies the same basic idea – tree search – to document retrieval, and can be thought of as an AlphaGo-style system for retrieval rather than games."

This shifts the architectural paradigm from passive retrieval, where the system simply retrieves matching text, to active navigation, where an agent model decides where to look.

The limits of semantic equivalence

There is a fundamental flaw in how traditional RAG manages complex data. Vector retrieval assumes that the text most semantically similar to a user’s query is also the most relevant. In professional domains, this assumption often breaks down.

Mingtian Zhang, co-founder of PageIndex, points to financial reporting as a prime example of this mode of failure. If a financial analyst asks an AI about "Ebitda" (earnings before interest, taxes, depreciation, and amortization), a standard vector database will capture every fraction where the acronym or similar term appears.

"Several sections may refer to EBITDA with the same wording, but only one section defines the precise calculation, adjustment, or reporting scope related to the question," Zhang told VentureBeat. "A similarity-based retriever struggles to identify these cases because the semantic signals are nearly indistinguishable."

This is "intent versus content" gap. The user does not want to search for the word "Ebitda"; they want to understand the “logic” behind it for that specific quarter.

Additionally, traditional embeddings remove the question from its context. Since embedding models have strict limits on the length of the input, the retrieval system usually only sees the specific question asked, ignoring the previous turns of the conversation. This removes the extraction step from the user’s reasoning process. The system matches documents against a short, decontextualized query rather than the entire history of the problem the user is trying to solve.

Solving the multi-hop reasoning problem

The real-world impact of this structural approach is most visible in the "multi-hop" questions that require AI to trace a path of breadcrumbs through various parts of a document.

In a recent benchmark test known as FinanceBench, a system built by PageIndex called "Additional 2.5" achieved a state-of-the-art accuracy score of 98.7%. The performance gap between this approach and vector-based systems becomes clear when analyzing how they handle internal references.

Zhang offered the example of a question about the total amount of deferred assets in an annual Federal Reserve report. The first section of the report describes the “change” in value but does not list the total. However, the text has a footnote: “See Appendix G of this report … for more detailed information.”

A vector-based system often fails here. The text in Appendix G does not appear to be the same as the user’s question about deferred assets; it’s probably just a table of numbers. Since there is no semantic match, the vector database ignores it.

The reasoning-based retriever, however, reads the cue in the main text, follows the link structure in Appendix G, looks up the correct table, and returns the appropriate number.

The latency trade-off and infrastructure transfer

For enterprise architects, the immediate concern with the LLM-powered search process is latency. Vector searches happen in milliseconds; have an LLM "read" a table of contents means a smoother user experience.

However, Zhang explained that the perceived latency for the end user can be negligible because of how the capture is integrated into the generation process. In a classic RAG setup, retrieval is a blocking step: the system must search the database before it starts generating a response. With PageIndex, the retrieval happens inline, during the model’s reasoning process.

"The system can start streaming immediately, and capture as it generates," Zhang said. "That means PageIndex does not add an extra ‘retrieval gate’ before the first token, and the Time to First Token (TTFT) is comparable to a normal LLM call."

This architecture shift also simplified the data infrastructure. By removing the reliance on embeddings, businesses no longer need to maintain a dedicated vector database. The index tree structure is lightweight enough to sit in a traditional relational database like PostgreSQL.

It addresses a growing pain point in LLM systems with extraction components: the complexity of keeping vector stores compatible with live documents. PageIndex separates structural indexing from text retrieval. When a contract is amended or a policy is updated, the system can handle small edits by re-indexing the affected subtree rather than re-processing the entire document corpus.

A decision matrix for business

While the accuracy gains are compelling, tree search is not a universal substitute for vector search. Technology is best viewed as a specialized tool for "deep work" rather than a catch-all for each retrieval task.

For short documents, such as emails or chat logs, the entire context usually fits within a modern LLM’s context window, making any retrieval system unnecessary. In contrast, for tasks based solely on semantic discovery, such as recommending similar products or searching for content with similar "vibe," vector embeddings remain the superior choice because the goal is proximity, not logic.

PageIndex fits right in the middle: long, highly structured documents where the cost of error is high. This includes technical manuals, FDA filings, and merger agreements. In these scenarios, the requirement is auditability. A business system must be able to explain not only the answer, but the path necessary to find it (eg, confirm that it has reviewed Section 4.1, followed the reference in Appendix B, and synthesized the data found there).

The future of agent acquisition

The rise of frameworks like PageIndex heralds a broader trend in the AI ​​stack: the move towards "Agent RAG." As models become more capable of planning and reasoning, the responsibility for finding data moves from the database layer to the model layer.

We’ve already seen this in the coding space, where agents want to Claude Code and Cursor moves away from simple vector searches in favor of active exploration of the codebase. Zhang believes the acquisition of the generic document will follow a similar trajectory.

"Vector databases still have appropriate use cases," Zhang said. "But their historical role as the default database for LLMs and AI may become less clear over time."



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