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# LIMIT
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# LIMIT
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A retrieval dataset that exposes fundamental theoretical limitations of embedding-based retrieval models. Despite using simple queries like "Who likes Apples?", state-of-the-art embedding models achieve less than 20% recall@100 on LIMIT full and cannot solve LIMIT-small (46 docs).
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## Links
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- **Paper**: [On the Theoretical Limitations of Embedding-Based Retrieval](https://arxiv.org/abs/2508.21038)
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- **Code**: [github.com/google-deepmind/limit](https://github.com/google-deepmind/limit)
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- **Full version**: [LIMIT](https://huggingface.co/datasets/orionweller/LIMIT/) (50k documents)
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- **Small version**: [LIMIT-small](https://huggingface.co/datasets/orionweller/LIMIT-small/) (46 documents only)
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## Dataset Details
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**Queries** (1,000): Simple questions asking "Who likes [attribute]?"
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- Examples: "Who likes Quokkas?", "Who likes Joshua Trees?", "Who likes Disco Music?"
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**Corpus** (50k documents): Short biographical texts describing people and their preferences
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- Format: "[Name] likes [attribute1] and [attribute2]."
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- Example: "Geneva Durben likes Quokkas and Apples."
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**Qrels** (2,000): Each query has exactly 2 relevant documents (score=1), creating nearly all possible combinations of 2 documents from the 46 corpus documents (C(46,2) = 1,035 combinations).
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### Format
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The dataset follows standard MTEB format with three configurations:
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- `default`: Query-document relevance judgments (qrels), keys: `corpus-id`, `query-id`, `score` (1 for relevant)
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- `queries`: Query texts with IDs , keys: `_id`, `text`
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- `corpus`: Document texts with IDs, keys: `_id`, `title` (empty), and `text`
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### Purpose
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Tests whether embedding models can represent all top-k combinations of relevant documents, based on theoretical results connecting embedding dimension to representational capacity. Despite the simple nature of queries, state-of-the-art models struggle due to fundamental dimensional limitations.
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## Citation
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```bibtex
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@misc{weller2025theoreticallimitationsembeddingbasedretrieval,
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title={On the Theoretical Limitations of Embedding-Based Retrieval},
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author={Orion Weller and Michael Boratko and Iftekhar Naim and Jinhyuk Lee},
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year={2025},
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eprint={2508.21038},
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archivePrefix={arXiv},
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primaryClass={cs.IR},
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url={https://arxiv.org/abs/2508.21038},
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}
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```
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