The Mystery of the Pathological Path-star Task for Language Models
Not on the map. Why?
Abstract (arXiv)
The recently introduced path-star task is a minimal task designed to exemplify limitations to the abilities of language models (Bachmann and Nagarajan, 2024). It involves a path-star graph where multiple arms radiate from a single starting node and each node is unique. Given the start node and a specified target node that ends an arm, the task is to generate the arm containing that target node. This is straightforward for a human but surprisingly difficult for language models, which did not outperform the random baseline. The authors hypothesized this is due to a deficiency in teacher-forcing and the next-token prediction paradigm. We demonstrate the task is learnable using teacher-forcing in alternative settings and that the issue is partially due to representation. We introduce a regularization method using structured samples of the same graph but with differing target nodes, improving results across a variety of model types. We provide RASP proofs showing the task is theoretically solvable. Finally, we find settings where an encoder-only model can consistently solve the task.
Key facts. Cited by 8 papers in the map (data through 14 Oct 2026). Builds on 33 of its 43 references that are in the map. First posted on arXiv 17 Oct 2024.
Builds on
33 of 43 references.
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21 more
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Built on by
Citing papers per year: 2024: 1; 2025: 6; 2026: 1.
8 papers.
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- 2025Insertion Language Models: Sequence Generation with Arbitrary-Position Insertionscited by 11
- 2025Autoregressive Language Models are Secretly Energy-Based Models: Insights into the Lookahead Capabilities of Next-Token Predictioncited by 8
- 2025Looking beyond the next tokencited by 5
- 2026Discrete Diffusion Models Exploit Asymmetry to Solve Lookahead Planning Taskscited by 4
- 2025Language Models, Graph Searching, and Supervision Adulteration: When More Supervision is Less and How to Make More Morecited by 3
- 2026Discrete Diffusion Models Exploit Asymmetry to Solve Lookahead Planning Tasks23 Feb 2026
- 2025Autoregressive Language Models are Secretly Energy-Based Models: Insights into the Lookahead Capabilities of Next-Token Prediction17 Dec 2025
- 2025Multi-Token Prediction Needs Registers15 May 2025
- 2025Insertion Language Models: Sequence Generation with Arbitrary-Position Insertions9 May 2025
- 2025Roll the dice & look before you leap: Going beyond the creative limits of next-token prediction21 Apr 2025
- 2025Looking beyond the next token15 Apr 2025
- 2025Language Models, Graph Searching, and Supervision Adulteration: When More Supervision is Less and How to Make More More13 Mar 2025
- 2024The Belief State Transformer30 Oct 2024