The authors argue that credit allocation within aligned chunks and anchoring unaligned tokens are both necessary, reporting gains across mathematics, science, and code benchmarks.
Jingru Yang · Jinhang Wu · Minjing Shi · Shengfeng He · Xuyan Li · Man Tan · Biye Li
Method and reading notes
Decoded-text alignment followed by uncertainty/smoothness-weighted chunk credit and selective initial-policy anchoring.
In the tested pairs, strict-position top-16 supervision matches full shared-vocabulary OPD, while added mismatch-span MSE hurts accuracy. The paper prioritizes supervision reliability over broader coverage.
Bingxi Hou · Guochao Jiang · Guofeng Quan · Weiqing Li · Wenfeng Feng · Guohua Liu · Yuewei Zhang
Method and reading notes
Strict 1:1 span alignment; reverse KL on renormalized shared vocabulary or a student-selected top-k subset.
The paper argues that supervising the combined probability of valid event completions complements token alignment, improving mathematics, code, and science without extra rollouts or vocabulary changes.
Jiacheng Liu · Jingwei Song · Qituan Zhang · Siheng Chen · Linfeng Zhang
Method and reading notes
Aggregate prefix-related teacher events; add a completion-set loss at visited child states to byte-aligned root supervision.
The authors propose adapting the teacher to the student's vocabulary and token positions, reporting full-dimensional supervision and gains across six reasoning tasks.
Kedi Chen · Chen Lin · Yutao Sun · Wei Zhang
Method and reading notes
Train a student-vocabulary teacher head using parallel-tokenized input and Hybrid-Prefix Attention.
The paper argues that cross-family offsets obscure useful teacher improvements; transferring within-family likelihood shifts improves reasoning in the tested student families.
Naibin Gu · Qingyi Si · Chenxu Yang · Chuanyu Qin · Junhao Zhou · Peng Fu · Zheng Lin · Weiping Wang
Method and reading notes
Shared-boundary span alignment; transfer strong-teacher minus teacher-family-reference scores, with a frozen student anchor.
The paper proposes high-probability anchors and residual regularization to reduce cross-tokenizer alignment noise, reporting reasoning gains in single-teacher and multi-teacher off-policy distillation.
Huiyi Zhang · Zijian Li · Xiaocheng Feng · Weitao Ma · Xiaoliang Yang · Yichong Huang · Bing Qin
Method and reading notes
Vocabulary/sequence alignment with high-probability anchor loss and residual regularization.
The authors report compact financial agents with reliable reasoning and long-horizon execution from a combined SFT, critical-step OPD, RLVR, and model-merging pipeline.
Mint-Agent Team · Kun Wang · Gavin Zhang · Yaze Geng · Lei Tang · Yaoyang Yi · Zonghan Wu · Yifan Hu · Qingsong Wen · Yilei Shao
Method and reading notes
At critical student turns, decoded-text chunks redistribute teacher path scores proportionally to student token log-probabilities.
The authors report that exact text-span alignment and student-reference constraints enable stable transfer of long-context teachers' reasoning capabilities to shorter-context students.
Haonan He · Haodi Lei · Yun Luo · Haoran Zhang · Shunkai Zhang · Yizhuo Li · Shengji Tang · Zhilin Wang · Runzhe Zhan · Lei Bai · Ganqu Cui · Fangchen Yu · Yafu Li · Peng Ye · Ning Ding · Yu Cheng
Method and reading notes
Retokenize student text with the teacher template; retain tokens with identical start/end offsets.
The paper proposes a byte-aligned target over the student vocabulary that preserves teacher probability mass, reporting gains on mathematics and programming benchmarks.
Hao Wang · Kun Yuan · Wenlin Zhong · Minglei Zhang · Han Xiao · Ming Sun · Honggang Qi
Method and reading notes
Teacher mass is routed to the longest student-token byte prefix; collisions are aggregated and unmatched mass enters a residual category.
The paper presents a shared verl backend with separate method modules, showing that different OPD settings can retain their objectives within one execution framework.
Jie Sun · Mao Zheng · Mingyang Song · Qiyong Zhong · Gengsheng Li · Zhepei Hong · Chang Wu · Pengfei Liu · Junfeng Fang · Xiang Wang
Method and reading notes
Software modules for SimCT and cross-tokenizer baselines on a shared verl backend.
The paper proposes transmitting token-level OPD signals across model families through decoded-text mapping, reporting better compute efficiency than the evaluated baselines.
Yifan Niu · Han Xiao · Dongyi Liu · Zelong Wang · Dihong Gong · Yasheng Wang · Jia Li
Method and reading notes
Dual-pointer decoded-string synchronization chunks and teacher/student canonical-path likelihoods.
The authors claim that hidden-state supervision avoids output-head limitations, and report cross-architecture and cross-tokenizer transfer through frozen low-rank projectors.
Shenzhi Yang · Guangcheng Zhu · Bowen Song · Haobo Wang · Mingxuan Xia · Xing Zheng · Yingfan Ma · Zhongqi Chen · Weiqiang Wang · Junbo Zhao · Gang Chen
Method and reading notes
OPRD-Bridge aligns selected hidden layers through frozen low-rank projectors.
The paper argues that semantic verification of response chunks supplies reliable OPD feedback without teacher logits, including feedback from proprietary text-only teachers.
Yuhang Zhou · Lizhu Zhang · Yifan Wu · Mingyi Wang · Bo Peng · Jiayi Liu · Xiangjun Fan · Zhuokai Zhao
Method and reading notes
Monte Carlo teacher continuations and semantic similarity over decoded multi-token chunks.
The authors report that restricting rollouts to early response tokens can outperform full-rollout OPD while improving GPU efficiency and training stability.
The paper argues that short jointly tokenizable continuations recover useful supervision lost by exact token matching, improving mathematics and code results in the tested heterogeneous pairs.
Jie Sun · Mao Zheng · Mingyang Song · Qiyong Zhong · Yilin Cheng · Bichuan Feng · Pengfei Liu · Junfeng Fang · Xiang Wang
Method and reading notes
Shared surface tokens plus minimal multi-token continuations that both tokenizers can realize.
The authors argue that prompt-specific rubrics can replace teacher logits for OPD, reporting improved performance and sample efficiency in the evaluated settings.
Junfeng Fang · Zhepei Hong · Mao Zheng · Mingyang Song · Gengsheng Li · Houcheng Jiang · Dan Zhang · Haiyun Guo · Xiang Wang · Tat-Seng Chua
Method and reading notes
A rubricator contrasts teacher and current student responses to induce textual criteria; a verifier scores each student rollout against them.
The authors argue that selectively allocating teacher feedback reduces negative transfer and entropy collapse, and report improved sample efficiency, including cross-vocabulary experiments.
Jongwoo Ko · Sara Abdali · Young Jin Kim · Tianyi Chen · Pashmina Cameron
Method and reading notes
Not specified for the mismatched vocabularies; the objective uses teacher/student likelihood ratios for sampled tokens.
The authors propose separate inference and training backends for teacher and student, reporting faster distributed distillation while supporting on-policy, off-policy, and cross-tokenizer methods.
The authors propose retaining strong student trajectories and replacing weaker segments using verbal teacher feedback, reporting reasoning and efficiency gains with text-only teachers.
Jing Xiong · Hui Shen · Shansan Gong · Yuxin Cheng · Jianghan Shen · Chaofan Tao · Haochen Tan · Haoli Bai · Lifeng Shang · Ngai Wong
Method and reading notes
Verbal scores select student sub-trajectories; rejected suffixes or queries are replaced by teacher continuations.
The paper proposes learning an adaptive discriminator from teacher text alone, reporting stronger black-box distillation than sequence-level imitation.
Tianzhu Ye · Li Dong · Zewen Chi · Xun Wu · Shaohan Huang · Furu Wei
Method and reading notes
A discriminator co-evolves to distinguish fixed teacher responses from current student responses and supplies an RL reward.
Teacher → Student
GPT-5-Chat → Qwen2.5-3B/7B/14B-Instruct
GPT-5-Chat → Llama-3.2-3B-Instruct or Llama-3.1-8B-Instruct
The official documentation describes cross-tokenizer distillation using decoded-text alignment, probability merging, and hybrid ULD loss within TRL's experimental trainer.
Carlos Miguel Patiño · Kashif Rasul · Quentin Gallouédec · Ben Burtenshaw · Sergio Paniego · Vaibhav Srivastav · Thibaud Frere · Ed Beeching · Lewis Tunstall · Leandro von Werra · Thomas Wolf
Method and reading notes
Incremental decoded-span alignment with exact/shared-token supervision where possible and ULD fallback.
The paper argues that one draft model can adapt online to target models with different vocabularies, reporting faster speculative decoding through hybrid distillation and adaptive drafting.
The authors propose shared prediction heads and dual-space projection to distill across vocabularies, reporting improvements on instruction following, mathematics, and code generation.
For dense vocabulary targets, inspect BPM or DVLM. For realized-path credit, compare BTB and CAST. For text-only teachers, inspect GAD, ROPD, and OmniOPD. Read Rethinking alongside coverage-oriented methods.
Dense distribution targets
Compare byte-prefix mapping with a learned student-vocabulary head.