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Prediction of Prediction (PoP): Inter-Layer Activation Fusion for Single-Pass Hallucination Detection in Large Language Models

Himal Badu

arXiv:2608.27165v1cs.CL

TL;DR

LLMs can produce confident factual errors, while output-level metrics and multi-sample verification have important limitations. PoP detects hallucination risk from hidden-state transitions and cross-layer fusion in a single forward pass, reporting 75.5% AUROC on TruthfulQA with less than 1.2% latency overhead and zero auxiliary generation passes.

  • Problem

    Output-stage uncertainty can fail on overconfident false assertions, while multi-sample verification requires additional completions or model calls.

  • Method

    PoP fuses normalized hidden-state transitions across transformer depth to estimate hallucination risk during standard autoregressive generation.

  • Results

    75.5% AUROC on TruthfulQA was reported with less than 1.2% runtime latency overhead and zero auxiliary generation passes.

  • Takeaways & Limitations

    The transition representation was predictive under the tested setup, while ablations do not establish that it causally drives hallucination.

  • Takeaways & Limitations

    The study covers English-language generation in specified settings; crosslingual, long-form, and reasoning-chain reliability remain unverified.

Abstract

from arXiv · show

Autoregressive large language models (LLMs) routinely generate factually incorrect outputs with high decoding confidence, limiting their deployment in high-stakes workflows. Existing output-stage uncertainty metrics can fail when models are overconfident on false assertions, while multi-sample verification pipelines introduce substantial memory and latency overhead. This work evaluates whether internal hidden-state transition dynamics during generation can signal factual errors without auxiliary decoding calls. We introduce Prediction of Prediction (PoP), a mechanism that captures layer-transition uncertainty by fusing intermediate hidden representations across depth during a single forward pass. Evaluated on the TruthfulQA benchmark using autoregressive transformer backbones, PoP achieves an area under the receiver operating characteristic curve (AUROC) of 75.5% for factual-correctness classification. The mechanism operates within the base forward pass, adding less than 1.2% runtime latency and requiring zero additional generation passes. The numerical results are reported from the author-verified experimental implementation and are bounded by the evaluation scope described below.

1 Introduction

PoP addresses the need for factual-hallucination detection during generation by modeling hidden-state transitions in a single forward execution. It combines layer-transition fusion with lightweight scoring and reports benchmark validation on TruthfulQA.

  • Output-stage uncertainty metrics can miss factual errors when incorrect entities have low logit variance, while stylistic choices can produce high entropy.
  • Post-hoc verification can improve precision but requires multiple completions or auxiliary model calls, increasing latency and compute cost.
  • The unresolved question is whether factual validity is encoded in hidden-state trajectories as representations change across transformer depth.
  • PoP estimates sequence-level hallucination risk through layer-transition activation fusion during generation.
  • 75.5% AUROC on TruthfulQA and less than 1.2% additional latency were reported without auxiliary decoding runs.

2 Related Work

Related work spans output-level uncertainty, internal-state detectors, and production-oriented black-box or context-grounded systems. PoP is positioned by its ordered layer-transition statistic, cross-layer fusion, temporal drift, and explicit comparison boundary.

  • Output-level methods estimate reliability from probabilities, entropy, self-consistency, or external evidence, whereas PoP uses ordered changes across internal layers.
  • Internal-state research includes hidden-state probes, attention-based detectors, residual-stream methods, spectral trajectories, semantic dynamics, and graph-based approaches.
  • PoP must demonstrate contribution beyond a best single-layer probe, an existing dynamic detector, attention-derived features, and an equally sized prediction head.
  • Compared with ICR Probe, PoP uses adjacent normalized-state cosine divergence, depth-weighted aggregation, cross-layer attention, and temporal drift before scoring.
  • Production-oriented baselines emphasize latency, span localization, calibration, and distinctions between intrinsic confabulation and contextual contradiction.

3 Problem Definition and Scope

The study targets factual correctness during ordinary autoregressive generation, using internal activations to produce step-level and sequence-level hallucination scores. Its single-pass setting requires instrumentable models and excludes several broader reliability claims.

  • The study focuses primarily on factual correctness and does not claim that PoP detects every form of hallucination.
  • PoP operates during normal autoregressive generation, retaining activations while using one generator forward pass per decoding step.
  • Figure 1 groups the method into activation capture, transition and fusion processing, and production of step-level and calibrated sequence-level scores.
  • Single pass means one generator execution per decoding step and zero auxiliary generation passes for the same response.
  • The detector outputs a step-level hallucination probability and a calibrated sequence-level score, evaluated as separate targets.

4 Layer-Transition Uncertainty Method

PoP retains and normalizes hidden states, measures adjacent-layer changes, fuses representations across depth with temporal information, and scores hallucination risk online. The implementation preserves the base model execution while keeping inference overhead low.

  • PoP intercepts and fuses hidden-state dynamics across intermediate transformer layers during generation rather than analyzing text post hoc.
  • The architecture captures activations, computes adjacent-layer divergence with cross-layer fusion and temporal drift, then produces calibrated risk scores.
  • 4.2 Internal representation: PoP layer-normalizes hidden states to reduce scale variation across transformer depth.
  • 4.2 Internal representation: Forward hooks extract activations without mutating base-model weights or altering the standard key-value-cache execution graph.
  • 4.3 Transition uncertainty statistic: PoP represents directional changes between adjacent layers and computes cosine distance between successive normalized states.
  • 4.3 Transition uncertainty statistic: The trajectory-divergence statistic aggregates layer transitions with learnable depth weights normalized by L−1 for comparable scale across model depths.
  • 4.4 Inter-layer fusion and calibration: Cross-layer attention projects retained states into query, key, and value spaces before mean-pooling the fused output with the final normalized layer state.
  • 4.4 Inter-layer fusion and calibration: The meta-representation combines the fused state, transition vector, and temporal drift before an MLP produces step-level probabilities and a calibrated aggregate yields the sequence score.

5 Experimental Setup

The evaluation uses specified instruction-tuned backbones, datasets, factuality procedures, baseline families, and threshold-agnostic and deployment-oriented metrics under bounded comparison conditions.

  • Model configuration: The study evaluates Llama-3-8B-Instruct, Qwen2.5-7B-Instruct, and Mistral-7B-Instruct-v0.2 with the listed decoding settings and a 256-token maximum output.Models run in native 16-bit precision on NVIDIA A100-80GB GPUs.
  • Datasets and labels: TruthfulQA contains 817 questions designed to elicit common false beliefs, with factual correctness determined by the official target-evaluation procedure.
  • Datasets and labels: HaluEval 2.0 contributes 10,000 paired sequences spanning general question answering and dialogue with factual ground truths and generated hallucinations.
  • Datasets and labels: FaithDial contributes 5,000 conversational turns evaluating faithfulness against grounded knowledge snippets.
  • Baselines: The comparison set includes output-only, multi-sample, static internal, and dynamic internal baselines, with superiority claims restricted to matched evaluation conditions.The novelty claim is limited to the uncertainty-propagation and fusion mechanism studied here.
  • Metrics: Evaluation reports AUROC, AUPRC, fixed-recall precision, calibration error, Brier score, operating-threshold precision and recall, F1, latency, VRAM, FLOPs, and throughput impact.These metrics cover separation, reliability, calibration, detection behavior, and operational cost.

6 Main Results

PoP shows strong factual-error separation and calibrated, low-overhead behavior under the stated protocol, while transfer, perturbation, and early-warning findings remain bounded by their tested conditions.

  • Detection performance: 75.5% AUROC on TruthfulQA and 74.6% on HaluEval are the highest separation accuracies among methods shown, including a 9.4-point gain over the static l = 32 probe on TruthfulQA.
  • Calibration and operating points: Calibration reduces ECE from 0.142 to 0.031, with calibration coefficients and the operating threshold selected on validation data.The test set is reserved for final evaluation.
  • Cost and latency: 0.3 ms/token and 18.4 MB of temporary activation memory are added under the stated benchmark protocol.Measurements use the declared warm-up, repeated-trial, synchronization, hardware, and batch-size conditions.
  • Cross-model and cross-domain transfer: Less than 3.5 percentage points of AUROC are lost in the reported transfer settings, bounded to English-language generation.
  • Perturbation robustness: Across tested perturbations, PoP loses at most 2.4 AUROC points, while output entropy is more sensitive to style and temperature.This interpretation is limited to the tested entity swaps, style transformations, paraphrases, distractor contexts, and temperature scaling.
  • Early warning and token-level behavior: A risk threshold of 0.70 is crossed within 1.2 ± 0.4 tokens of factual-error onset, preventing an average of 18.4 downstream decoding steps on hallucinated completions.Token-level entity-span precision is 71.8% and recall is 68.4%.
  • Early warning and token-level behavior: Token-level interpretation is bounded by the entity-span annotation protocol, and stopping-rule deployment additionally requires monitoring false interruptions, restart costs, and response quality.

7 Analysis and Ablations

The reported ablations examine which transition and fusion components support PoP under the Llama-3-8B-Instruct and TruthfulQA setup. They indicate predictive utility for ordered layer transitions and normalization, while limiting broader component comparisons.

  • Experimental setup: The ablations were conducted on Llama-3-8B-Instruct and TruthfulQA.
  • Ablation findings: Ordered layer transitions and layer normalization contribute to PoP’s performance under the tested setup.
  • Interpretation: The strongest supported interpretation is that PoP’s transition representation is predictive under the tested setup, not that it causally drives hallucination.
  • Ablation findings: The evaluated transition representation, normalization, layer order, and fusion components are supported by the reported ablations.
  • Scope: Comparisons with additional transition statistics and alternative fusion heads remain outside this version’s scope.

8 Limitations and Broader Impact

PoP’s limitations concern model access, temporary activation memory, evaluation scope, calibration requirements, and interpretation of predictive correlations. The study also cautions against treating low risk scores as guarantees of truth in high-stakes settings.

  • Technical limitations: PoP requires intermediate hidden states and cannot directly operate on closed-source APIs exposing only text or token probabilities.
  • Technical limitations: Retaining H_t ∈ R^L×d requires temporary GPU memory, and large batches or deep models may constrain throughput.
  • Evaluation scope: The study evaluates English-language generation in closed-book question answering, dialogue, and short-context retrieval-augmented settings.
  • Evaluation scope: Crosslingual performance, long-form document generation, and reasoning-chain reliability remain unverified.
  • Evaluation scope: The conclusions are conditional on the listed model and dataset configuration rather than claims of state-of-the-art performance across newer models or benchmarks.
  • Calibration: The scoring head and calibration procedure require labeled validation data, and severe distribution shifts may degrade calibration.
  • Interpretation: The experiments report predictive correlations with factual errors rather than proved causal mechanisms because they use standard forward execution without active intervention.
  • Broader impact and risks: A low risk score is not a guarantee of truth, and human review or domain-specific verification remains necessary in high-stakes settings.

9 Conclusion

The paper studies whether factual hallucinations leave detectable signals in internal layer-transition dynamics before final vocabulary projection. It introduces PoP to fuse these trajectories into a calibrated risk score during standard generation, reporting 75.5% AUROC on TruthfulQA with less than 1.2% latency overhead and zero auxiliary generation passes.

  • PoP detects hallucination risk by intercepting hidden-state trajectories, computing normalized transition divergence, fusing cross-layer information, and calibrating a score during generation.
  • 75.5% AUROC on TruthfulQA, less than 1.2% runtime latency overhead, and zero auxiliary generation passes are reported under the stated evaluation protocol.
  • The contribution is restricted to the combination of adjacent-layer transition divergence, cross-layer activation fusion, temporal drift, and calibration.
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