mlsanityData to 14 Oct 2026

Pro-KD: Progressive Distillation by Following the Footsteps of the Teacher

arXiv 2110.08532 ↗First posted 16 Oct 2021cs.CLcited by 17

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Abstract (arXiv)

With ever growing scale of neural models, knowledge distillation (KD) attracts more attention as a prominent tool for neural model compression. However, there are counter intuitive observations in the literature showing some challenging limitations of KD. A case in point is that the best performing checkpoint of the teacher might not necessarily be the best teacher for training the student in KD. Therefore, one important question would be how to find the best checkpoint of the teacher for distillation? Searching through the checkpoints of the teacher would be a very tedious and computationally expensive process, which we refer to as the textitcheckpoint-search problem. Moreover, another observation is that larger teachers might not necessarily be better teachers in KD which is referred to as the textitcapacity-gap problem. To address these challenging problems, in this work, we introduce our progressive knowledge distillation (Pro-KD) technique which defines a smoother training path for the student by following the training footprints of the teacher instead of solely relying on distilling from a single mature fully-trained teacher. We demonstrate that our technique is quite effective in mitigating the capacity-gap problem and the checkpoint search problem. We evaluate our technique using a comprehensive set of experiments on different tasks such as image classification (CIFAR-10 and CIFAR-100), natural language understanding tasks of the GLUE benchmark, and question answering (SQuAD 1.1 and 2.0) using BERT-based models and consistently got superior results over state-of-the-art techniques.

Key facts. Cited by 17 papers in the map (data through 14 Oct 2026). Builds on 33 of its 43 references that are in the map. First posted on arXiv 16 Oct 2021.

Builds on

33 of 43 references.

References · 33

  1. 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,399
  2. 2020Language Models are Few-Shot Learnerscited by 32,419
  3. 2019RoBERTa: A Robustly Optimized BERT Pretraining Approachcited by 13,372
  4. 2015Distilling the Knowledge in a Neural Networkcited by 10,324
  5. 2018GLUE: A Multi-Task Benchmark and Analysis Platform for Natural Language Understandingcited by 4,899
  6. 2019DistilBERT, a distilled version of BERT: smaller, faster, cheaper and lightercited by 4,307
  7. 2016SQuAD: 100,000+ Questions for Machine Comprehension of Textcited by 4,148
  8. 2018Neural Tangent Kernel: Convergence and Generalization in Neural Networkscited by 2,621
  9. 2019TinyBERT: Distilling BERT for Natural Language Understandingcited by 1,167
  10. 2017Visualizing the Loss Landscape of Neural Netscited by 1,130
  11. 2015Deep Learning and the Information Bottleneck Principlecited by 802
  12. 2018Gradient Descent Provably Optimizes Over-parameterized Neural Networkscited by 659
21 more
  1. 2018Born Again Neural Networkscited by 546
  2. 2019Patient Knowledge Distillation for BERT Model Compressioncited by 508
  3. 2019On the Efficacy of Knowledge Distillationcited by 381
  4. 2016Entropy-SGD: Biasing Gradient Descent Into Wide Valleyscited by 359
  5. 2015Unifying distillation and privileged informationcited by 233
  6. 2019Gradient Descent with Early Stopping is Provably Robust to Label Noise for Overparameterized Neural Networkscited by 159
  7. 2020Regularizing Class-wise Predictions via Self-knowledge Distillationcited by 144
  8. 2021PanGu-α: Large-scale Autoregressive Pretrained Chinese Language Models with Auto-parallel Computationcited by 134
  9. 2018Overparameterized Nonlinear Learning: Gradient Descent Takes the Shortest Path?cited by 88
  10. 2019BAM! Born-Again Multi-Task Networks for Natural Language Understandingcited by 85
  11. 2019Knowledge Distillation via Route Constrained Optimizationcited by 75
  12. 2021Generalization in NLI: Ways (Not) To Go Beyond Simple Heuristicscited by 67
  13. 2020ALP-KD: Attention-Based Layer Projection for Knowledge Distillationcited by 66
  14. 2021Annealing Knowledge Distillationcited by 61
  15. 2019Distillation ≈ Early Stopping? Harvesting Dark Knowledge Utilizing Anisotropic Information Retrieval For Overparameterized Neural Networkcited by 28
  16. 2021MATE-KD: Masked Adversarial TExt, a Companion to Knowledge Distillationcited by 27
  17. 2020Why Skip If You Can Combine: A Simple Knowledge Distillation Technique for Intermediate Layerscited by 24
  18. 2020Towards Zero-Shot Knowledge Distillation for Natural Language Processingcited by 20
  19. 2020TutorNet: Towards Flexible Knowledge Distillation for End-to-End Speech Recognitioncited by 12
  20. 2021Not Far Away, Not So Close: Sample Efficient Nearest Neighbour Data Augmentation via MiniMaxcited by 10
  21. 2019Essence Knowledge Distillation for Speech Recognitioncited by 3

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2022: 6; 2023: 4; 2024: 1; 2025: 5; 2026: 1.

17 papers.

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  1. 2022DyLoRA: Parameter Efficient Tuning of Pre-trained Models using Dynamic Search-Free Low-Rank Adaptationcited by 233
  2. 2022In-context Learning Distillation: Transferring Few-shot Learning Ability of Pre-trained Language Modelscited by 37
  3. 2023HomoDistil: Homotopic Task-Agnostic Distillation of Pre-trained Transformerscited by 25
  4. 2022PROD: Progressive Distillation for Dense Retrievalcited by 21
  5. 2023Supervision Complexity and its Role in Knowledge Distillationcited by 19
  6. 2022Progressive Cross-modal Knowledge Distillation for Human Action Recognitioncited by 6
  7. 2022CILDA: Contrastive Data Augmentation using Intermediate Layer Knowledge Distillationcited by 4
  8. 2023Accelerating Diffusion-based Combinatorial Optimization Solvers by Progressive Distillationcited by 4
  9. 2022PyNET-QxQ: An Efficient PyNET Variant for QxQ Bayer Pattern Demosaicing in CMOS Image Sensorscited by 2
  10. 2025Dual-Forward Path Teacher Knowledge Distillation: Bridging the Capacity Gap Between Teacher and Studentcited by 2
  11. 2025Right Time to Learn:Promoting Generalization via Bio-inspired Spacing Effect in Knowledge Distillationcited by 1
  12. 2023Improving Knowledge Distillation via Transferring Learning Abilitycited by 0
5 more
  1. 2024Domain Adaptation of Multilingual Semantic Search -- Literature Reviewcited by 0
  2. 2025Revisiting the Relationship between Adversarial and Clean Training: Why Clean Training Can Make Adversarial Training Bettercited by 0
  3. 2025Efficient Speech Watermarking for Speech Synthesis via Progressive Knowledge Distillationcited by 0
  4. 2025BRIDGE: Budget-aware Reasoning via Intermediate Distillation with Guided Examplescited by 0
  5. 2026A Statistical Perspective on Knowledge Distillation: Foundations, Classical Methods, and Large Language Model Extensionscited by 0

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  2. 2021Follow Your Path: a Progressive Method for Knowledge Distillation
  3. 2024Neural Collapse Inspired Knowledge Distillation
  4. 2022Spot-adaptive Knowledge Distillation
  5. 2023What is Lost in Knowledge Distillation?
  6. 2021Preventing Catastrophic Forgetting and Distribution Mismatch in Knowledge Distillation via Synthetic Data
  7. 2025Delta Knowledge Distillation for Large Language Models
  8. 2026Progressive2: A Teacher-Student Progressive Co-Evolving Knowledge Distillation Method for Substantial Model Compression