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Knowledge Tagging with Large Language Model Based Multi-Agent System
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Proposes an LLM-based multi-agent system (planner, question solver, semantic judger, numerical judger with Python code execution) for knowledge tagging of math questions, evaluated on MathKnowCT against embedding, fine-tuned PLM and single-LLM baselines.
Problem
Automating knowledge tagging of questions (binary matching of knowledge definitions to question stems) is hard when definitions have intricate semantic and strict numerical constraints, where single-LLM and PLM methods fall short of human experts.
Approach
Decompose a knowledge definition into independent sub-constraints via a planning agent; route semantic constraints to an LLM judge and numerical constraints to LLM-generated Python code executed to verify them, then AND the results.
Key results
- Multi-agent Mixtral (base) reaches 79.27% accuracy and 68.17% precision, the best base-size result, while the multi-agent GPT-4o large model reaches 86.91% accuracy and 80.47% precision versus 88.38% accuracy for single GPT-4o.
- Multi-agent design improves precision for base-sized LLMs (e.g., Llama-3-8B precision 51.84 to 62.01), but recall drops for multi-agent variants.
- Industrial deployment at Squirrel Ai reportedly saved at least $306,750 in labeling cost (self-reported estimate).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use the multi-agent system instead of single-LLM 2-shot inference | Mixtral Base · MathKnowCT | accuracy: 75.42 -> 79.27 | Helped |
| Use the multi-agent system instead of single-LLM 2-shot inference | Mixtral Base · MathKnowCT | precision: 59.74 -> 68.17 | Helped |
| Use the multi-agent system instead of single-LLM 2-shot inference | Mixtral Base · MathKnowCT | recall: 93.15 -> 77.42 | Hurt |
| Use the multi-agent system instead of single-LLM 2-shot inference | GPT Large · MathKnowCT | precision: 76.51 -> 80.47 | Helped |
| Use the multi-agent system instead of single-LLM 2-shot inference | GPT Large · MathKnowCT | accuracy: 88.38 -> 86.91 | Hurt |
Surprising findings
- Single-LLM GPT-4o achieves higher accuracy (88.38%) and F1 (85.46) than its multi-agent counterpart (86.91%, 81.75), contrary to the claim that the multi-agent design uniformly helps.
- Multi-agent design lowers recall, attributed to errors compounding across intermediate steps.
Limitations
- Recall decreases with the multi-agent pipeline because intermediate-step errors increase false negatives.
- Large-model gains are smaller; GPT-4o single-LLM outperforms the multi-agent variant on accuracy and F1.
- Evaluation limited to one dataset (MathKnowCT, 24 concepts, grades 1-3).
Experimental setup
Datasets: MathKnowCT
Benchmarks: MathKnowCT
Metrics: accuracy precision recall F1-score
Baselines: GPT-Embed (text-embedding-3-small) SBERT BERT fine-tuning RoBERTa fine-tuning T5 fine-tuning single LLM 2-shot CoT inference
Builds on: chain-of-thought prompting in-context learning tool-use LLMs
Closest papers by meaning
- Chain of Agents: Large Language Models Collaborating on Long-Context Tasks (NeurIPS 2024 · similarity 0.86)
- S-DAG: A Subject-Based Directed Acyclic Graph for Multi-Agent Heterogeneous Reasoning (AAAI 2026 · similarity 0.86)
- KARMA: Leveraging Multi-Agent LLMs for Automated Knowledge Graph Enrichment (NeurIPS 2025 · similarity 0.85)
- Knowledge Graph Prompting for Multi-Document Question Answering (AAAI 2024 · similarity 0.85)
- Distilling LLM Agent into Small Models with Retrieval and Code Tools (NeurIPS 2025 · similarity 0.85)
- Synergistic Multi-Agent Framework with Trajectory Learning for Knowledge-Intensive Tasks (AAAI 2025 · similarity 0.84)
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