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The Future of Facts: Tracing the Factual Generation-Verification Gap
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Controlled fine-tuning study on synthetic facts across four open model families shows verification is learned before generation, survives continual learning better, and factual updates leave models in a multi-verse state, with natural-experiment checks on frontier models.
Problem
How training mechanisms (acquisition, continual learning, updating) shape the generation-verification gap on factual knowledge, which remains poorly understood because training data is opaque and confounded.
Approach
Uses synthetic facts with paraphrased training sentences and controlled fine-tuning to trace generation and verification separately across three life-cycle phases, and exploits real-world coverage variation (S&P 500, NBA, lottery, Billboard) to test frontier models.
Key results
- Verification is learned before generation during acquisition across all four families and scales; gap closes with sufficient exposure but is invisible in training loss.
- Verification is more robust than generation under continual learning on T-REx, with generation collapsing sharply while verification settles at a higher floor.
- After updating, generation flips to the new answer while verification still accepts the old answer, a multi-verse state; on GPT 5.4 low reasoning, NBA 2013 example gives U_G=0.50 and U_V(✓)=0.80 vs U_V(×)=0.88.
Surprising findings
- Verification accepts both old and new answers after updating, even though generation has fully shifted.
- Increased reasoning effort does not improve generation or overall verification utility, and widens affirmation bias for OpenAI models.
Limitations
- Single-hop synthetic facts with clean paraphrases; likely not representative of messy natural training data.
- Facts injected during post-training (SFT) rather than pretraining.
- Frontier natural experiments are confounded by possible evaluation-context recognition and lack of training-data access.
Experimental setup
Datasets: T-REx S&P 500 closing prices NBA game scores Mega Millions lottery numbers Billboard Hot 100
Benchmarks: synthetic fact acquisition/continual learning/update tests natural-experiment coverage datasets (S&P 500, NBA, lottery, Billboard)
Metrics: generation accuracy balanced verification accuracy utility U_V' validation loss GV-gap
Baselines: GPT 5.4 Gemini 3 Flash
Builds on: Best-of-N rejection sampling T-REx DPO
Closest papers by meaning
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- Mind the Gap: Examining the Self-Improvement Capabilities of Large Language Models (ICLR 2025 · similarity 0.88)
- Variation in Verification: Understanding Verification Dynamics in Large Language Models (ICLR 2026 · similarity 0.86)
- Beyond Semantics: The Unreasonable Effectiveness of Reasonless Intermediate Tokens (NeurIPS 2026 · similarity 0.86)
- The Lock-in Hypothesis: Stagnation by Algorithm (ICML 2025 · similarity 0.86)
- ParamMute: Suppressing Knowledge-Critical FFNs for Faithful Retrieval-Augmented Generation (NeurIPS 2025 · similarity 0.86)
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