SPARK: Susceptibility-Guided Profiling and Steering of Latent Reasoning States in Large Language Models
On the map: LLM reasoning → Reasoning benchmarks and evaluation
Abstract (arXiv)
Reasoning failures in large language models (LLMs) are usually evaluated from final answers, but a wrong answer does not reveal why the model failed. The same incorrect output may reflect missing capability, an unstable reasoning trajectory, or a failure to activate a reasoning state that is already available in the frozen model. Existing prompting and benchmark-based evaluation methods mostly operate at the output level, while generic activation-steering methods typically apply global directions without diagnosing which examples require intervention. In this paper, we introduce SPARK, which uses hidden-state response to diagnose whether a model internally enters an effective reasoning state and to guide lightweight test-time steering. The key observation is that raw hidden-state susceptibility is strongly confounded by prompt length, especially in programmatic and algorithmic reasoning where harder serialized instances naturally become longer. SPARK therefore uses length-controlled susceptibility to separate input-scale effects from residual reasoning activation, and combines this signal with cross-layer coordination to select reasoning-active anchors and under-activated hard examples. We use FRONTIER-4.5K as a controlled programmatic reasoning suite for latent profiling and difficulty-aware analysis, and evaluate SPARK-Steering on GSM8K and MATH-500 with forward-only benchmark profiling. Our method improves Qwen3 series models consistently; on MATH-500, accuracy rises from 82.0% to 84.6% for Qwen3-4B and from 82.4% to 85.6% for Qwen3-8B. These results suggest that susceptibility can serve not only as a diagnostic signal for reasoning failures, but also as a practical guide for targeted test-time intervention.
Key facts. No citing papers in the map yet (data through 14 Oct 2026). Placed in Reasoning benchmarks and evaluation, one of 17 directions in LLM reasoning. Builds on 30 of its 45 references that are in the map. First posted on arXiv 11 Jul 2026.
Builds on
30 of 45 references.
Closest ancestors · 3
Same direction, newest first
- 2025Qwen3 Technical Report14 May
- 2024The CLRS-Text Algorithmic Reasoning Language Benchmark6 Jun
- 2022ReAct: Synergizing Reasoning and Acting in Language Models6 Oct
Other references · 27
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- 2023Representation Engineering: A Top-Down Approach to AI Transparencycited by 1,336
- 2021Train Short, Test Long: Attention with Linear Biases Enables Input Length Extrapolationcited by 1,103
- 2023Steering Language Models With Activation Engineeringcited by 922
- 2019Plug and Play Language Models: A Simple Approach to Controlled Text Generationcited by 799
- 2023Eliciting Latent Predictions from Transformers with the Tuned Lenscited by 623
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- 2018Sensitivity and Generalization in Neural Networks: an Empirical Studycited by 189
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