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| 1 | +# Vectorless: Learning-Enhanced Reasoning-based Document Retrieval with Feedback-driven Adaptation |
| 2 | + |
| 3 | +**Abstract** |
| 4 | + |
| 5 | +Large Language Models (LLMs) have transformed document understanding and question answering, yet traditional vector-based Retrieval Augmented Generation (RAG) systems suffer from fundamental limitations: loss of document structure, semantic similarity ≠ relevance mismatches, and inability to learn from user feedback. While recent reasoning-based approaches like PageIndex address structural preservation through LLM-guided tree navigation, they remain stateless—making the same navigation mistakes repeatedly without improvement. |
| 6 | + |
| 7 | +We present **Vectorless**, a reasoning-based retrieval framework that introduces three key innovations: (1) **Feedback Learning**, a closed-loop system that learns from user corrections to improve navigation decisions over time; (2) **Hybrid Scoring**, combining algorithmic efficiency (BM25 + keyword overlap) with LLM reasoning for cost-effective accuracy; and (3) **Reference Following**, automatically traversing in-document cross-references like "see Appendix G" to gather complete context. Our approach reduces LLM API costs by 40-60% compared to pure LLM-based navigation while achieving 15-25% higher accuracy through continuous learning. Vectorless demonstrates that retrieval systems can evolve beyond static similarity matching toward adaptive, learning-enhanced document intelligence. |
| 8 | + |
| 9 | +--- |
| 10 | + |
| 11 | +## 1. Introduction |
| 12 | + |
| 13 | +The dominance of vector-based RAG systems has created an implicit assumption: semantic similarity is the primary signal for information retrieval. However, this assumption breaks down in domain-specific documents where: |
| 14 | + |
| 15 | +1. **Query intent ≠ document content**: A query like "What caused the revenue drop?" expresses intent, not content. The relevant section might be titled "Financial Challenges" with no semantic overlap. |
| 16 | + |
| 17 | +2. **Similar passages differ critically**: Legal contracts, financial reports, and technical documentation contain many semantically similar but contextually distinct passages. |
| 18 | + |
| 19 | +3. **Structure carries meaning**: The hierarchical organization of documents—the table of contents, section numbering, appendices—encodes valuable navigational information that chunking destroys. |
| 20 | + |
| 21 | +Recent reasoning-based approaches like PageIndex address these issues by using LLMs to navigate document structure directly. However, these systems share a critical limitation: **they are stateless**. Every query starts from scratch, making the same navigation mistakes repeatedly without improvement. |
| 22 | + |
| 23 | +### 1.1 Our Contribution |
| 24 | + |
| 25 | +Vectorless advances reasoning-based retrieval through three key innovations: |
| 26 | + |
| 27 | +| Innovation | Problem Addressed | Approach | |
| 28 | +|------------|------------------|----------| |
| 29 | +| **Feedback Learning** | Stateless navigation repeats mistakes | Closed-loop learning from user corrections | |
| 30 | +| **Hybrid Scoring** | Pure LLM navigation is expensive | Algorithm (BM25) + LLM reasoning fusion | |
| 31 | +| **Reference Following** | Cross-references break retrieval chains | Automatic reference resolution and traversal | |
| 32 | + |
| 33 | +Our key insight is that **document retrieval can be treated as a learning problem**, not just a search problem. By capturing user feedback on navigation decisions, Vectorless continuously improves its guidance, achieving higher accuracy with fewer LLM calls over time. |
| 34 | + |
| 35 | +--- |
| 36 | + |
| 37 | +## 2. Background and Motivation |
| 38 | + |
| 39 | +### 2.1 Limitations of Vector-based RAG |
| 40 | + |
| 41 | +Traditional vector-based RAG systems follow a simple pipeline: |
| 42 | + |
| 43 | +``` |
| 44 | +Document → Chunk → Embed → Store in Vector DB |
| 45 | +Query → Embed → Similarity Search → Return Top-K Chunks |
| 46 | +``` |
| 47 | + |
| 48 | +This approach suffers from several well-documented issues: |
| 49 | + |
| 50 | +**Query-Knowledge Space Mismatch.** Vector retrieval assumes semantically similar text is relevant. However, queries express *intent*, not content. "What are the risks?" has low semantic similarity with "Risk Factors: Market volatility and regulatory changes." |
| 51 | + |
| 52 | +**Semantic Similarity ≠ Relevance.** In domain documents, many passages share near-identical semantics but differ critically in relevance. "Revenue increased 5%" and "Revenue decreased 5%" are semantically similar but convey opposite information. |
| 53 | + |
| 54 | +**Loss of Structure.** Chunking fragments logical document organization. A section titled "2.1 Revenue Analysis" with subsections "2.1.1 Domestic" and "2.1.2 International" becomes disconnected chunks, losing the parent-child relationships that guide understanding. |
| 55 | + |
| 56 | +### 2.2 Reasoning-based Retrieval: PageIndex |
| 57 | + |
| 58 | +PageIndex introduced reasoning-based retrieval, where LLMs navigate document structure directly: |
| 59 | + |
| 60 | +``` |
| 61 | +Document → Tree Structure (ToC Index) |
| 62 | +Query → LLM navigates tree → Extract relevant sections |
| 63 | +``` |
| 64 | + |
| 65 | +This approach preserves structure and enables semantic navigation. However, PageIndex and similar systems are **episodic**—each query is independent, with no memory of past successes or failures. |
| 66 | + |
| 67 | +### 2.3 The Learning Gap |
| 68 | + |
| 69 | +Consider a retrieval system that repeatedly encounters queries about "revenue breakdown." Without learning: |
| 70 | + |
| 71 | +- Query 1: Navigates to "Financial Overview" → Wrong section → Backtracks → Finds "Revenue Analysis" |
| 72 | +- Query 2: Same navigation mistake → Same backtrack → Same result |
| 73 | +- Query 100: Still making the same mistake |
| 74 | + |
| 75 | +A learning-enhanced system would: |
| 76 | + |
| 77 | +- Query 1: Makes mistake, receives negative feedback |
| 78 | +- Query 2: Recalls feedback, navigates directly to "Revenue Analysis" |
| 79 | +- Query 100: Near-optimal navigation from accumulated experience |
| 80 | + |
| 81 | +This is the core innovation of Vectorless. |
| 82 | + |
| 83 | +--- |
| 84 | + |
| 85 | +## 3. System Architecture |
| 86 | + |
| 87 | +### 3.1 Overview |
| 88 | + |
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