Pro-KD: Progressive Distillation by Following the Footsteps of the Teacher
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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
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- 2020Language Models are Few-Shot Learnerscited by 32,419
- 2019RoBERTa: A Robustly Optimized BERT Pretraining Approachcited by 13,372
- 2015Distilling the Knowledge in a Neural Networkcited by 10,324
- 2018GLUE: A Multi-Task Benchmark and Analysis Platform for Natural Language Understandingcited by 4,899
- 2019DistilBERT, a distilled version of BERT: smaller, faster, cheaper and lightercited by 4,307
- 2016SQuAD: 100,000+ Questions for Machine Comprehension of Textcited by 4,148
- 2018Neural Tangent Kernel: Convergence and Generalization in Neural Networkscited by 2,621
- 2019TinyBERT: Distilling BERT for Natural Language Understandingcited by 1,167
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- 2015Deep Learning and the Information Bottleneck Principlecited by 802
- 2018Gradient Descent Provably Optimizes Over-parameterized Neural Networkscited by 659
21 more
- 2018Born Again Neural Networkscited by 546
- 2019Patient Knowledge Distillation for BERT Model Compressioncited by 508
- 2019On the Efficacy of Knowledge Distillationcited by 381
- 2016Entropy-SGD: Biasing Gradient Descent Into Wide Valleyscited by 359
- 2015Unifying distillation and privileged informationcited by 233
- 2019Gradient Descent with Early Stopping is Provably Robust to Label Noise for Overparameterized Neural Networkscited by 159
- 2020Regularizing Class-wise Predictions via Self-knowledge Distillationcited by 144
- 2021PanGu-α: Large-scale Autoregressive Pretrained Chinese Language Models with Auto-parallel Computationcited by 134
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- 2019Knowledge Distillation via Route Constrained Optimizationcited by 75
- 2021Generalization in NLI: Ways (Not) To Go Beyond Simple Heuristicscited by 67
- 2020ALP-KD: Attention-Based Layer Projection for Knowledge Distillationcited by 66
- 2021Annealing Knowledge Distillationcited by 61
- 2019Distillation ≈ Early Stopping? Harvesting Dark Knowledge Utilizing Anisotropic Information Retrieval For Overparameterized Neural Networkcited by 28
- 2021MATE-KD: Masked Adversarial TExt, a Companion to Knowledge Distillationcited by 27
- 2020Why Skip If You Can Combine: A Simple Knowledge Distillation Technique for Intermediate Layerscited by 24
- 2020Towards Zero-Shot Knowledge Distillation for Natural Language Processingcited by 20
- 2020TutorNet: Towards Flexible Knowledge Distillation for End-to-End Speech Recognitioncited by 12
- 2021Not Far Away, Not So Close: Sample Efficient Nearest Neighbour Data Augmentation via MiniMaxcited by 10
- 2019Essence Knowledge Distillation for Speech Recognitioncited by 3
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Citing papers per year: 2022: 6; 2023: 4; 2024: 1; 2025: 5; 2026: 1.
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- 2025Dual-Forward Path Teacher Knowledge Distillation: Bridging the Capacity Gap Between Teacher and Student23 Jun 2025
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- 2023Supervision Complexity and its Role in Knowledge Distillation28 Jan 2023
- 2022In-context Learning Distillation: Transferring Few-shot Learning Ability of Pre-trained Language Models20 Dec 2022
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- 2022PyNET-QxQ: An Efficient PyNET Variant for QxQ Bayer Pattern Demosaicing in CMOS Image Sensors8 Mar 2022
- 2023HomoDistil: Homotopic Task-Agnostic Distillation of Pre-trained Transformerscited by 25
- 2023Supervision Complexity and its Role in Knowledge Distillationcited by 19
- 2022CILDA: Contrastive Data Augmentation using Intermediate Layer Knowledge Distillationcited by 4
- 2025Dual-Forward Path Teacher Knowledge Distillation: Bridging the Capacity Gap Between Teacher and Studentcited by 2
- 2025Right Time to Learn:Promoting Generalization via Bio-inspired Spacing Effect in Knowledge Distillationcited by 1
- 2023Improving Knowledge Distillation via Transferring Learning Abilitycited by 0
- 2025Efficient Speech Watermarking for Speech Synthesis via Progressive Knowledge Distillationcited by 0
- 2026A Statistical Perspective on Knowledge Distillation: Foundations, Classical Methods, and Large Language Model Extensionscited by 0
- 2026A Statistical Perspective on Knowledge Distillation: Foundations, Classical Methods, and Large Language Model Extensions27 Sep 2026
- 2025Efficient Speech Watermarking for Speech Synthesis via Progressive Knowledge Distillation24 Sep 2025
- 2025Dual-Forward Path Teacher Knowledge Distillation: Bridging the Capacity Gap Between Teacher and Student23 Jun 2025
- 2025Right Time to Learn:Promoting Generalization via Bio-inspired Spacing Effect in Knowledge Distillation10 Feb 2025
- 2023Improving Knowledge Distillation via Transferring Learning Ability24 Apr 2023
- 2023HomoDistil: Homotopic Task-Agnostic Distillation of Pre-trained Transformers19 Feb 2023
- 2023Supervision Complexity and its Role in Knowledge Distillation28 Jan 2023
- 2022CILDA: Contrastive Data Augmentation using Intermediate Layer Knowledge Distillation15 Apr 2022
- 2022DyLoRA: Parameter Efficient Tuning of Pre-trained Models using Dynamic Search-Free Low-Rank Adaptationcited by 233
- 2022In-context Learning Distillation: Transferring Few-shot Learning Ability of Pre-trained Language Modelscited by 37
- 2022PROD: Progressive Distillation for Dense Retrievalcited by 21
- 2022Progressive Cross-modal Knowledge Distillation for Human Action Recognitioncited by 6
- 2022PyNET-QxQ: An Efficient PyNET Variant for QxQ Bayer Pattern Demosaicing in CMOS Image Sensorscited by 2
- 2024Domain Adaptation of Multilingual Semantic Search -- Literature Reviewcited by 0
- 2025Revisiting the Relationship between Adversarial and Clean Training: Why Clean Training Can Make Adversarial Training Bettercited by 0
- 2025BRIDGE: Budget-aware Reasoning via Intermediate Distillation with Guided Examplescited by 0
- 2025BRIDGE: Budget-aware Reasoning via Intermediate Distillation with Guided Examples23 Dec 2025
- 2025Revisiting the Relationship between Adversarial and Clean Training: Why Clean Training Can Make Adversarial Training Better30 Mar 2025
- 2024Domain Adaptation of Multilingual Semantic Search -- Literature Review5 Feb 2024
- 2022In-context Learning Distillation: Transferring Few-shot Learning Ability of Pre-trained Language Models20 Dec 2022
- 2022DyLoRA: Parameter Efficient Tuning of Pre-trained Models using Dynamic Search-Free Low-Rank Adaptation14 Oct 2022
- 2022PROD: Progressive Distillation for Dense Retrieval27 Sep 2022
- 2022Progressive Cross-modal Knowledge Distillation for Human Action Recognition17 Aug 2022
- 2022PyNET-QxQ: An Efficient PyNET Variant for QxQ Bayer Pattern Demosaicing in CMOS Image Sensors8 Mar 2022
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