A post on zhichai.net reviews the paper "Same Evidence, Different Answers: Canonical-Context On-Policy Distillation for Multi-Turn Language Models" by Zizhuo Lin, Quanling Liu, Jinsheng Quan, and Chao Zhang (independent researchers; arXiv:2605.30251, cs.CL, submitted May 28, 2026).
Key points
The phenomenon: self-anchored drift
The post opens with a medical example: given a complete patient description (45-year-old male, 3 days of chest pain radiating to the left arm, ST elevation, elevated troponin) in a single prompt, an AI correctly answers "acute myocardial infarction, initiate PCI." But when the same evidence is delivered over three turns, the model's early replies ("muscle strain, GERD, or angina"; "possibly pericarditis or stress cardiomyopathy") anchor its final answer, and it recommends NSAIDs for pericarditis.
The paper formalizes this as self-anchored drift: hypotheses the model generates from incomplete early-turn information get written into the conversation history and anchor all subsequent processing, so identical evidence yields different—and typically worse—conclusions depending on presentation timing.
Experimental design
- FULL: all user information in one prompt.
- RAW-SHARDED: the same information split across three turns.
- Teacher (frozen): receives the complete FULL prompt and produces ideal full-context responses.
- Student (trainable): handles the RAW-SHARDED multi-turn version, aligned along trajectories it generates itself (on-policy), so corrections target its own failure modes.
- Trained only on math dialogue, CCOPD improves RAW-SHARDED math performance by a 32% relative gain, while FULL performance is unaffected.
- Zero-shot positive transfer was observed on all five unrelated tasks: legal reasoning, medical QA, logic puzzles, code debugging, and dialogue state tracking (no per-domain numbers given).
- Ablations show CCOPD increases reliance on user-provided evidence and decreases sensitivity to the model's own earlier turns—the inverse of self-anchored drift.
- Absolute accuracy levels behind the 32% relative gain are not reported, making effect size hard to interpret.
- Why is the residual gap 68% rather than 0? Some drift may be structural to autoregressive generation, where each turn's output irreversibly becomes the next turn's context.
- Scaling beyond three turns (10–20 turn conversations) is untested.
- Whether anti-anchoring training makes the model overly conservative—crossing from "not jumping to conclusions" into "not concluding at all"—is not evaluated.
Base models score significantly lower on RAW-SHARDED than FULL, and most RAW-SHARDED errors trace back to early-turn self-generated hypotheses that would not appear under full context.
The fix: CCOPD
Canonical-Context On-Policy Distillation uses a single base model in two roles:
The student learns not stronger reasoning but a discipline: restraint from premature anchoring when information is incomplete. No external labeled data is required.
Results
Honest gaps (per the reviewer)
Deeper implication
The reviewer argues the paper's real contribution is exposing information presentation timing as a hidden variable: the AI community studies what models can do with information, but rarely how the sequencing of that information reshapes output. CCOPD is a handbrake, not a new car—self-anchored drift is a feature of autoregressive architectures, not a bug, and it can be mitigated but not fully eliminated.
References cited: Lin et al., arXiv:2605.30251 (2026); Brown et al., GPT-3 (NeurIPS 2020); Touvron et al., LLaMA (arXiv:2302.13971); Wei et al., Chain-of-Thought (NeurIPS 2022); Kahneman & Tversky (Science, 1974).