Do Deep Nets Really Need to be Deep?
Not on the map. Why?
Abstract (arXiv)
Currently, deep neural networks are the state of the art on problems such as speech recognition and computer vision. In this extended abstract, we show that shallow feed-forward networks can learn the complex functions previously learned by deep nets and achieve accuracies previously only achievable with deep models. Moreover, in some cases the shallow neural nets can learn these deep functions using a total number of parameters similar to the original deep model. We evaluate our method on the TIMIT phoneme recognition task and are able to train shallow fully-connected nets that perform similarly to complex, well-engineered, deep convolutional architectures. Our success in training shallow neural nets to mimic deeper models suggests that there probably exist better algorithms for training shallow feed-forward nets than those currently available.
Key facts. Cited by 466 papers in the map (data through 7 Oct 2026). First posted on arXiv 21 Dec 2013.
Builds on
No reference list yet.
Built on by
Citing papers per year: 2018: 1; 2019: 0; 2020: 0; 2021: 139; 2022: 103; 2023: 98; 2024: 58; 2025: 31; 2026: 36.
466 papers.
Sort:
By area:
- 2024Depth Anything V2cited by 1,385
- 2023CAMEL: Communicative Agents for "Mind" Exploration of Large Language Model Societycited by 1,348
- 2022Large Language Models Can Self-Improvecited by 656
- 2021ImageNet-21K Pretraining for the Massescited by 607
- 2023LightGaussian: Unbounded 3D Gaussian Compression with 15x Reduction and 200+ FPScited by 420
- 2021Data-Free Knowledge Distillation for Heterogeneous Federated Learningcited by 380
- 2021Membership Inference Attacks on Machine Learning: A Surveycited by 306
- 2021NeRV: Neural Representations for Videoscited by 255
- 2021Does Knowledge Distillation Really Work?cited by 187
- 2023AM-RADIO: Agglomerative Vision Foundation Model -- Reduce All Domains Into Onecited by 165
- 2021Towards Understanding Knowledge Distillationcited by 158
- 20222DPASS: 2D Priors Assisted Semantic Segmentation on LiDAR Point Cloudscited by 157
38 more
- 2022Distilling Reasoning Capabilities into Smaller Language Modelscited by 155
- 2024Distilling System 2 into System 1cited by 152
- 2022Knowledge Distillation with the Reused Teacher Classifiercited by 140
- 2022Efficient Few-Shot Learning Without Promptscited by 135
- 2021Comparing Kullback-Leibler Divergence and Mean Squared Error Loss in Knowledge Distillationcited by 131
- 2021AMMUS : A Survey of Transformer-based Pretrained Models in Natural Language Processingcited by 131
- 2023Similarity of Neural Network Models: A Survey of Functional and Representational Measurescited by 128
- 2023CompGS: Smaller and Faster Gaussian Splatting with Vector Quantizationcited by 127
- 2023Dataset Distillation: A Comprehensive Reviewcited by 126
- 2023The Truth is in There: Improving Reasoning in Language Models with Layer-Selective Rank Reductioncited by 120
- 2021Rethinking Soft Labels for Knowledge Distillation: A Bias-Variance Tradeoff Perspectivecited by 116
- 2021Split Computing and Early Exiting for Deep Learning Applications: Survey and Research Challengescited by 114
- 2022Class-Incremental Learning by Knowledge Distillation with Adaptive Feature Consolidationcited by 113
- 2021Dynamic Slimmable Networkcited by 83
- 2021A Practical Survey on Faster and Lighter Transformerscited by 73
- 2022X-Trans2Cap: Cross-Modal Knowledge Transfer using Transformer for 3D Dense Captioningcited by 70
- 2022Knowledge Distillation via the Target-aware Transformercited by 70
- 2021Adaptive Multi-Teacher Multi-level Knowledge Distillationcited by 69
- 2022R2L: Distilling Neural Radiance Field to Neural Light Field for Efficient Novel View Synthesiscited by 69
- 2021Improving Deep Learning Interpretability by Saliency Guided Trainingcited by 68
- 2022Compressing Volumetric Radiance Fields to 1 MBcited by 66
- 2021Model Complexity of Deep Learning: A Surveycited by 64
- 2021What Kinds of Functions do Deep Neural Networks Learn? Insights from Variational Spline Theorycited by 60
- 2021Distilling Audio-Visual Knowledge by Compositional Contrastive Learningcited by 53
- 2021A Survey on Green Deep Learningcited by 52
- 2022Semi-Supervised and Unsupervised Deep Visual Learning: A Surveycited by 52
- 2026Expanding the Capabilities of Reinforcement Learning via Text Feedbackcited by 49
- 2021Deep Model Intellectual Property Protection via Deep Watermarkingcited by 47
- 2024Learning from Teaching Regularization: Generalizable Correlations Should be Easy to Imitatecited by 46
- 2023NORM: Knowledge Distillation via N-to-One Representation Matchingcited by 44
- 2024A Survey on Transformer Compressioncited by 44
- 2022A Survey on Heterogeneous Federated Learningcited by 42
- 2022Cross-Architecture Knowledge Distillationcited by 40
- 2021Confidence-Aware Multi-Teacher Knowledge Distillationcited by 39
- 2021Distilling Object Detectors with Feature Richnesscited by 38
- 2021Zero-Shot Knowledge Distillation from a Decision-Based Black-Box Modelcited by 37
- 2021Learning Compatible Embeddingscited by 37
- 2022Submodularity In Machine Learning and Artificial Intelligencecited by 37
50 most cited of 466 All 466 (JSON)
- 2026SAKI: Maximal-Coupling-Routed Teacher Supervision for On-Policy Distillation29 Sep 2026
- 2026REALM: Regime-Switching, Explainable, and Activation-Induced Linear Models26 Sep 2026
- 2026Distilling Foundation Models for Agentic What-If Reasoning:Cost, Latency, and Governance in a Hybrid LLM+SLM Architecture14 Sep 2026
- 2026zScore-N: A Neural Network for On-Chain Wallet Reputation Scoring8 Sep 2026
- 2026On Mitigation of Subliminal Learning in Large Language Models2 Sep 2026
- 2026Knowledge Distillation under Teacher Misspecification: An Order-Parameter Analysis of the Gap between Teacher Mimicry and Task Performance29 Aug 2026
- 2026Scaling Model-Generated Distillation Data Can Make Latent Teacher Traits More Recoverable27 Aug 2026
- 2026Resource-Efficient Pruning for Transformer via Low-Rank Importance Estimation25 Aug 2026
- 2026Close Shortcut Wins Long: Seeking Diverse and Stable Generators for Data-Free Knowledge Distillation22 Aug 2026
- 2026Self-Specialized Teachers for Domain Post-Training16 Aug 2026
- 2026Distillation of Foundation Models for Time-dependent PDEs12 Aug 2026
- 2026Towards Sustainable Artificial Intelligence: A Comprehensive Review and Comparative Analysis of Deep Learning Models' Carbon Footprint7 Aug 2026
38 more
- 2026Robust and Efficient Motion Reasoning for Privacy-Aware Classroom Incident Recognition5 Aug 2026
- 2026ADS-C: Antidistillation Sampling for Classification16 Jul 2026
- 2026On the Design of Mixture-of-Experts for Dynamic Gaussian Splatting9 Jul 2026
- 2026PHF: Privileged Hidden Flow for On-Policy Self-Distillation28 Jun 2026
- 2026SLAD : Shared LoRA Adapters for Task Specific Distillation28 May 2026
- 2026Llamion Technical Report25 May 2026
- 2026Pocket Foundation Models: Distilling TFMs into CPU-Ready Gradient-Boosted Trees18 May 2026
- 2026Distribution Corrected Offline Data Distillation for Large Language Models13 May 2026
- 2026On the Generalization of Knowledge Distillation: An Information-Theoretic View13 May 2026
- 2026EGAD: Entropy-Guided Adaptive Distillation for Token-Level Knowledge Transfer3 May 2026
- 2026Improving Diversity in Black-box Few-shot Knowledge Distillation28 Apr 2026
- 2026Integrative neurocybernetic modeling in the era of large-scale neuroscience26 Apr 2026
- 2026From Foundation ECG Models to NISQ Learners: Distilling ECGFounder into a VQC Student28 Mar 2026
- 2026Neural Network Conversion of Machine Learning Pipelines26 Mar 2026
- 2026Residual-as-Teacher: Mitigating Bias Propagation in Student--Teacher Estimation26 Mar 2026
- 2026EdgeCrafter: Compact ViTs for Edge Dense Prediction via Task-Specialized Distillation19 Mar 2026
- 2026PACED: Distillation and On-Policy Self-Distillation at the Frontier of Student Competence11 Mar 2026
- 2026SSR: A Generic Framework for Text-Aided Map Compression for Localization4 Mar 2026
- 2026Logit Distance Bounds Representational Similarity17 Feb 2026
- 2026Expanding the Capabilities of Reinforcement Learning via Text Feedback2 Feb 2026
- 2026Mixture-of-Top-k Attention: Efficient Attention via Scalable Fast Weights1 Feb 2026
- 2026Investigating the Robustness of Subtask Distillation under Spurious Correlation31 Jan 2026
- 2026MemKD: Memory-Discrepancy Knowledge Distillation for Efficient Time Series Classification7 Jan 2026
- 2026Learning to Reason: Temporal Saliency Distillation for Interpretable Knowledge Transfer7 Jan 2026
- 2025Two Heads are Better than One: Distilling Large Language Model Features Into Small Models with Feature Decomposition and Mixture10 Nov 2025
- 2025A Metamorphic Testing Perspective on Knowledge Distillation for Language Models of Code: Does the Student Deeply Mimic the Teacher?7 Nov 2025
- 2025HYDRA: HYbrid knowledge Distillation and spectral Reconstruction Algorithm for high channel hyperspectral camera applications18 Oct 2025
- 2025Distillation of Large Language Models via Concrete Score Matching30 Sep 2025
- 2025Towards Understanding Subliminal Learning: When and How Hidden Biases Transfer28 Sep 2025
- 2025Expandable Residual Approximation for Knowledge Distillation22 Aug 2025
- 2025Synthetic Adaptive Guided Embeddings (SAGE): A Novel Knowledge Distillation Method20 Aug 2025
- 2025EntropyGS: An Efficient Entropy Coding on 3D Gaussian Splatting13 Aug 2025
- 2025Task complexity shapes internal representations and robustness in neural networks7 Aug 2025
- 2025ASNN: Learning to Suggest Neural Architectures from Performance Distributions27 Jul 2025
- 2025ProGMLP: A Progressive Framework for GNN-to-MLP Knowledge Distillation with Efficient Trade-offs25 Jul 2025
- 2025"So, Tell Me About Your Policy...": Distillation of interpretable policies from Deep Reinforcement Learning agents10 Jul 2025
- 2025VERITAS: Verification and Explanation of Realness in Images for Transparency in AI Systems7 Jul 2025
- 2025Competitive Distillation: A Simple Learning Strategy for Improving Visual Classification29 Jun 2025
50 newest of 466 All 466 (JSON)
- 2022Large Language Models Can Self-Improvecited by 656
- 2022Distilling Reasoning Capabilities into Smaller Language Modelscited by 155
- 2024Distilling System 2 into System 1cited by 152
- 2023The Truth is in There: Improving Reasoning in Language Models with Layer-Selective Rank Reductioncited by 120
- 2022Joint Answering and Explanation for Visual Commonsense Reasoningcited by 11
- 2022Avoid Overthinking in Self-Supervised Models for Speech Recognitioncited by 5
- 2026PHF: Privileged Hidden Flow for On-Policy Self-Distillationcited by 5
- 2026Distribution Corrected Offline Data Distillation for Large Language Modelscited by 0
- 2026PHF: Privileged Hidden Flow for On-Policy Self-Distillation28 Jun 2026
- 2026Distribution Corrected Offline Data Distillation for Large Language Models13 May 2026
- 2024Distilling System 2 into System 18 Jul 2024
- 2023The Truth is in There: Improving Reasoning in Language Models with Layer-Selective Rank Reduction21 Dec 2023
- 2022Distilling Reasoning Capabilities into Smaller Language Models1 Dec 2022
- 2022Avoid Overthinking in Self-Supervised Models for Speech Recognition1 Nov 2022
- 2022Large Language Models Can Self-Improve20 Oct 2022
- 2022Joint Answering and Explanation for Visual Commonsense Reasoning25 Feb 2022
- 2023CAMEL: Communicative Agents for "Mind" Exploration of Large Language Model Societycited by 1,348
- 2023Explaining Agent Behavior with Large Language Modelscited by 3
- 2023Understanding Your Agent: Leveraging Large Language Models for Behavior Explanationcited by 3
- 2026Distilling Foundation Models for Agentic What-If Reasoning:Cost, Latency, and Governance in a Hybrid LLM+SLM Architecturecited by 0
- 2026Distilling Foundation Models for Agentic What-If Reasoning:Cost, Latency, and Governance in a Hybrid LLM+SLM Architecture14 Sep 2026
- 2023Understanding Your Agent: Leveraging Large Language Models for Behavior Explanation29 Nov 2023
- 2023Explaining Agent Behavior with Large Language Models19 Sep 2023
- 2023CAMEL: Communicative Agents for "Mind" Exploration of Large Language Model Society31 Mar 2023
- 2024m2mKD: Module-to-Module Knowledge Distillation for Modular Transformerscited by 5
- 2018Mixture of Expert/Imitator Networks: Scalable Semi-supervised Learning Frameworkcited by 2
- 2026Mixture-of-Top-k Attention: Efficient Attention via Scalable Fast Weightscited by 1
- 2026On the Design of Mixture-of-Experts for Dynamic Gaussian Splattingcited by 1
- 2026On the Design of Mixture-of-Experts for Dynamic Gaussian Splatting9 Jul 2026
- 2026Mixture-of-Top-k Attention: Efficient Attention via Scalable Fast Weights1 Feb 2026
- 2024m2mKD: Module-to-Module Knowledge Distillation for Modular Transformers26 Feb 2024
- 2018Mixture of Expert/Imitator Networks: Scalable Semi-supervised Learning Framework13 Oct 2018
- 2021Membership Inference Attacks on Machine Learning: A Surveycited by 306
- 2021Deep Model Intellectual Property Protection via Deep Watermarkingcited by 47
- 2023Students Parrot Their Teachers: Membership Inference on Model Distillationcited by 31
- 2024Can Distillation Mitigate Backdoor Attacks in Pre-trained Encoders?cited by 6
- 2024Can Distillation Mitigate Backdoor Attacks in Pre-trained Encoders?6 Mar 2024
- 2023Students Parrot Their Teachers: Membership Inference on Model Distillation6 Mar 2023
- 2021Membership Inference Attacks on Machine Learning: A Survey14 Mar 2021
- 2021Deep Model Intellectual Property Protection via Deep Watermarking8 Mar 2021
- 2023Teaching Language Models to Self-Improve through Interactive Demonstrationscited by 26
- 2023Few-Shot Data Synthesis for Open Domain Multi-Hop Question Answeringcited by 9
- 2023Accelerating Neural Self-Improvement via Bootstrappingcited by 1
- 2026Scaling Model-Generated Distillation Data Can Make Latent Teacher Traits More Recoverablecited by 1
- 2026Scaling Model-Generated Distillation Data Can Make Latent Teacher Traits More Recoverable27 Aug 2026
- 2023Teaching Language Models to Self-Improve through Interactive Demonstrations20 Oct 2023
- 2023Few-Shot Data Synthesis for Open Domain Multi-Hop Question Answering23 May 2023
- 2023Accelerating Neural Self-Improvement via Bootstrapping2 May 2023
- 2024Depth Anything V2cited by 1,385
- 2021ImageNet-21K Pretraining for the Massescited by 607
- 2023LightGaussian: Unbounded 3D Gaussian Compression with 15x Reduction and 200+ FPScited by 420
- 2021Data-Free Knowledge Distillation for Heterogeneous Federated Learningcited by 380
- 2021NeRV: Neural Representations for Videoscited by 255
- 2021Does Knowledge Distillation Really Work?cited by 187
- 2023AM-RADIO: Agglomerative Vision Foundation Model -- Reduce All Domains Into Onecited by 165
- 2021Towards Understanding Knowledge Distillationcited by 158
- 20222DPASS: 2D Priors Assisted Semantic Segmentation on LiDAR Point Cloudscited by 157
- 2022Knowledge Distillation with the Reused Teacher Classifiercited by 140
- 2022Efficient Few-Shot Learning Without Promptscited by 135
- 2021Comparing Kullback-Leibler Divergence and Mean Squared Error Loss in Knowledge Distillationcited by 131
12 most cited of 434 All 434 (JSON)
- 2026SAKI: Maximal-Coupling-Routed Teacher Supervision for On-Policy Distillation29 Sep 2026
- 2026REALM: Regime-Switching, Explainable, and Activation-Induced Linear Models26 Sep 2026
- 2026zScore-N: A Neural Network for On-Chain Wallet Reputation Scoring8 Sep 2026
- 2026On Mitigation of Subliminal Learning in Large Language Models2 Sep 2026
- 2026Knowledge Distillation under Teacher Misspecification: An Order-Parameter Analysis of the Gap between Teacher Mimicry and Task Performance29 Aug 2026
- 2026Resource-Efficient Pruning for Transformer via Low-Rank Importance Estimation25 Aug 2026
- 2026Close Shortcut Wins Long: Seeking Diverse and Stable Generators for Data-Free Knowledge Distillation22 Aug 2026
- 2026Self-Specialized Teachers for Domain Post-Training16 Aug 2026
- 2026Distillation of Foundation Models for Time-dependent PDEs12 Aug 2026
- 2026Towards Sustainable Artificial Intelligence: A Comprehensive Review and Comparative Analysis of Deep Learning Models' Carbon Footprint7 Aug 2026
- 2026Robust and Efficient Motion Reasoning for Privacy-Aware Classroom Incident Recognition5 Aug 2026
- 2026ADS-C: Antidistillation Sampling for Classification16 Jul 2026
12 newest of 434 All 434 (JSON)