When Shallow Wins: Silent Failures and the Depth-Accuracy Paradox in Latent Reasoning
On the map: LLM reasoning → Mathematical reasoning
Abstract (arXiv)
Mathematical reasoning models are widely deployed in education, automated tutoring, and decision support systems despite exhibiting fundamental computational instabilities. We demonstrate that state-of-the-art models (Qwen2.5-Math-7B) achieve 61% accuracy through a mixture of reliable and unreliable reasoning pathways: 18.4% of correct predictions employ stable, faithful reasoning while 81.6% emerge through computationally inconsistent pathways. Additionally, 8.8% of all predictions are silent failures -- confident yet incorrect outputs. Through comprehensive analysis using novel faithfulness metrics, we reveal: (1) reasoning quality shows weak negative correlation with correctness (r=-0.21, p=0.002), reflecting a binary classification threshold artifact rather than a monotonic inverse relationship; (2) scaling from 1.5B to 7B parameters (4.7x increase) provides zero accuracy benefit on our evaluated subset (6% of GSM8K), requiring validation on the complete benchmark; and (3) latent reasoning employs diverse computational strategies, with ~20% sharing CoT-like patterns. These findings highlight that benchmark accuracy can mask computational unreliability, demanding evaluation reforms measuring stability beyond single-sample metrics.
Key facts. Cited by 2 papers in the map (data through 7 Oct 2026). Placed in Mathematical reasoning, one of 17 directions in LLM reasoning. Builds on 13 of its 16 references that are in the map. First posted on arXiv 3 Mar 2026.
Builds on
13 of 16 references.
References · 13
- 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,302
- 2017Axiomatic Attribution for Deep Networkscited by 3,350
- 2022Locating and Editing Factual Associations in GPTcited by 2,609
- 2023Language Models Don't Always Say What They Think: Unfaithful Explanations in Chain-of-Thought Promptingcited by 1,081
- 2015Deep Learning and the Information Bottleneck Principlecited by 793
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- 2023Plan-and-Solve Prompting: Improving Zero-Shot Chain-of-Thought Reasoning by Large Language Modelscited by 550
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- 2025Implicit Reasoning in Large Language Models: A Comprehensive Surveycited by 42
- 2025LLM Latent Reasoning as Chain of Superpositioncited by 37
- 2025Is Chain-of-Thought Really Not Explainability? Chain-of-Thought Can Be Faithful without Hint Verbalizationcited by 15
- 2025ActivationReasoning: Logical Reasoning in Latent Activation Spacescited by 4
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Citing papers per year: 2026: 2.
2 papers.
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- 2025Catch Me If You Can: How Smaller Reasoning Models Pretend to Reason with Mathematical Fidelity
- 2026Does Inference Scaling Improve Reasoning Faithfulness? A Multi-Model Analysis of Self-Consistency Tradeoffs
- 2025ReliableMath: Benchmark of Reliable Mathematical Reasoning on Large Language Models
- 2025Can Large Reasoning Models Improve Accuracy on Mathematical Tasks Using Flawed Thinking?
- 2026A Reference-Free Score for Detecting Silent Reasoning Failures in Large Language Models
- 2026RFEval: Benchmarking Reasoning Faithfulness under Counterfactual Reasoning Intervention in Large Reasoning Models
- 2026Catching The Correct Answer Trap: Characterising AI Tutor Blind Spots When Analysing Student Reasoning
- 2025Putnam-AXIOM: A Functional and Static Benchmark for Measuring Higher Level Mathematical Reasoning in LLMs