Calibration Across Layers: Understanding Calibration Evolution in LLMs
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Abstract (arXiv)
Large Language Models (LLMs) have demonstrated inherent calibration capabilities, where predicted probabilities align well with correctness, despite prior findings that deep neural networks are often overconfident. Recent studies have linked this behavior to specific components in the final layer, such as entropy neurons and the unembedding matrix null space. In this work, we provide a complementary perspective by investigating how calibration evolves throughout the network depth. Analyzing multiple open-weight models on the MMLU benchmark, we uncover a distinct confidence correction phase in the upper/later layers, where model confidence is actively recalibrated after decision certainty has been reached. Furthermore, we identify a low-dimensional calibration direction in the residual stream whose perturbation significantly improves calibration metrics (ECE and MCE) without harming accuracy. Our findings suggest that calibration is a distributed phenomenon, shaped throughout the network forward pass, not just in its final projection, providing new insights into how confidence-regulating mechanisms operate within LLMs.
Key facts. Cited by 9 papers in the map (data through 14 Oct 2026). Builds on 31 of its 41 references that are in the map. First posted on arXiv 31 Oct 2025.
Builds on
31 of 41 references.
References · 31
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19 more
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Built on by
Citing papers per year: 2025: 3; 2026: 6.
9 papers.
- 2025Geometry of Decision Making in Language Modelscited by 9
- 2025Beyond Components: Singular Vector-Based Interpretability of Transformer Circuitscited by 7
- 2026The Confidence Manifold: Geometric Structure of Correctness Representations in Language Modelscited by 4
- 2026Correctness-Optimized Residual Activation Lens (CORAL): Transferrable and Calibration-Aware Inference-Time Steeringcited by 2
- 2025RSTR: Reducing SpatioTemporal Redundancy in Diffusion Transformerscited by 1
- 2026Post-Training Shifts Confidence: A Three-Stage Analysis of How SFT, RL, and OPD Shape CoT Calibrationcited by 1
- 2026The Convergence Gap: Instruction-Tuned Language Models Stabilize Later in the Forward Passcited by 0
- 2026From token probabilities to calibrated confidence: An empirical study of mathematical question answeringcited by 0
- 2026Weakening Neurons: An Input-Output Functionality in Transformers with Outsize Influencecited by 0
- 2026Weakening Neurons: An Input-Output Functionality in Transformers with Outsize Influence16 Sep 2026
- 2026From token probabilities to calibrated confidence: An empirical study of mathematical question answering8 Aug 2026
- 2026Post-Training Shifts Confidence: A Three-Stage Analysis of How SFT, RL, and OPD Shape CoT Calibration15 Jul 2026
- 2026The Convergence Gap: Instruction-Tuned Language Models Stabilize Later in the Forward Pass8 May 2026
- 2026The Confidence Manifold: Geometric Structure of Correctness Representations in Language Models8 Feb 2026
- 2026Correctness-Optimized Residual Activation Lens (CORAL): Transferrable and Calibration-Aware Inference-Time Steering5 Feb 2026
- 2025RSTR: Reducing SpatioTemporal Redundancy in Diffusion Transformers16 Dec 2025
- 2025Geometry of Decision Making in Language Models25 Nov 2025
- 2025Beyond Components: Singular Vector-Based Interpretability of Transformer Circuits25 Nov 2025