Training Sparse Neural Networks
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Abstract (arXiv)
Deep neural networks with lots of parameters are typically used for large-scale computer vision tasks such as image classification. This is a result of using dense matrix multiplications and convolutions. However, sparse computations are known to be much more efficient. In this work, we train and build neural networks which implicitly use sparse computations. We introduce additional gate variables to perform parameter selection and show that this is equivalent to using a spike-and-slab prior. We experimentally validate our method on both small and large networks and achieve state-of-the-art compression results for sparse neural network models.
Key facts. Cited by 73 papers in the map (data through 14 Oct 2026). First posted on arXiv 21 Nov 2016.
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Citing papers per year: 2021: 20; 2022: 15; 2023: 16; 2024: 12; 2025: 8; 2026: 2.
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- 2021CF-GNNExplainer: Counterfactual Explanations for Graph Neural Networkscited by 119
- 2021Do We Actually Need Dense Over-Parameterization? In-Time Over-Parameterization in Sparse Trainingcited by 110
- 2021Sparse Training via Boosting Pruning Plasticity with Neuroregenerationcited by 84
- 2021Effective Sparsification of Neural Networks with Global Sparsity Constraintcited by 45
- 2023Break It Down: Evidence for Structural Compositionality in Neural Networkscited by 44
- 2021Efficient Neural Network Training via Forward and Backward Propagation Sparsificationcited by 30
- 2022RLx2: Training a Sparse Deep Reinforcement Learning Model from Scratchcited by 30
- 2022A Survey on Graph Counterfactual Explanations: Definitions, Methods, Evaluation, and Research Challengescited by 30
- 2023NTK-SAP: Improving neural network pruning by aligning training dynamicscited by 30
- 2021GDP: Stabilized Neural Network Pruning via Gates with Differentiable Polarizationcited by 29
- 2023AutoReP: Automatic ReLU Replacement for Fast Private Network Inferencecited by 29
- 2023LinGCN: Structural Linearized Graph Convolutional Network for Homomorphically Encrypted Inferencecited by 27
38 more
- 2021Effective Model Sparsification by Scheduled Grow-and-Prune Methodscited by 26
- 2022Bayesian autoencoders for data-driven discovery of coordinates, governing equations and fundamental constantscited by 24
- 2021A Bregman Learning Framework for Sparse Neural Networkscited by 15
- 2022DiSparse: Disentangled Sparsification for Multitask Model Compressioncited by 14
- 2022Spatial Mixture-of-Expertscited by 14
- 2021On the Robustness of Monte Carlo Dropout Trained with Noisy Labelscited by 11
- 2024Circuit Compositions: Exploring Modular Structures in Transformer-Based Language Modelscited by 11
- 2021Lottery Jackpots Exist in Pre-trained Modelscited by 10
- 2022Learning Signal Temporal Logic through Neural Network for Interpretable Classificationcited by 10
- 2023Efficient Symbolic Policy Learning with Differentiable Symbolic Expressioncited by 10
- 2022Sequential Attention for Feature Selectioncited by 9
- 2023Efficient Neural Networks for Tiny Machine Learning: A Comprehensive Reviewcited by 9
- 2024TLINet: Differentiable Neural Network Temporal Logic Inferencecited by 9
- 2022Accelerating Attention through Gradient-Based Learned Runtime Pruningcited by 8
- 2023Balanced Training for Sparse GANscited by 8
- 2024Bypass Back-propagation: Optimization-based Structural Pruning for Large Language Models via Policy Gradientcited by 6
- 2021Neural Network for Weighted Signal Temporal Logiccited by 5
- 2021Sparse Personalized Federated Learningcited by 5
- 2022Pruning-aware Sparse Regularization for Network Pruningcited by 5
- 2022Sparse Vicious Attacks on Graph Neural Networkscited by 5
- 2025Temporal Action Detection Model Compression by Progressive Block Dropcited by 5
- 2021[Reproducibility Report] Rigging the Lottery: Making All Tickets Winnerscited by 4
- 2022Sparse Federated Learning with Hierarchical Personalized Modelscited by 4
- 2022Interaction Decompositions for Tensor Network Regressioncited by 4
- 2022Optimal bump functions for shallow ReLU networks: Weight decay, depth separation and the curse of dimensionalitycited by 4
- 2022Streaming, fast and accurate on-device Inverse Text Normalization for Automatic Speech Recognitioncited by 4
- 2023UPSCALE: Unconstrained Channel Pruningcited by 4
- 2024Deep Fr'echet Regressioncited by 4
- 2023DSFormer: Effective Compression of Text-Transformers by Dense-Sparse Weight Factorizationcited by 3
- 2024DIET: Customized Slimming for Incompatible Networks in Sequential Recommendationcited by 3
- 2025Boosting Large Language Models with Mask Fine-Tuningcited by 3
- 2021End-to-End Supermask Pruning: Learning to Prune Image Captioning Modelscited by 2
- 2023Effective Neural Network L0 Regularization With BinMaskcited by 2
- 2024Zero-Space Cost Fault Tolerance for Transformer-based Language Models on ReRAMcited by 2
- 2024Mini-batch Estimation for Deep Cox Models: Statistical Foundations and Practical Guidancecited by 2
- 2025Graph Inverse Style Transfer for Counterfactual Explainabilitycited by 2
- 2023Learning Activation Functions for Sparse Neural Networkscited by 1
- 2023Binary domain generalization for sparsifying binary neural networkscited by 1
50 most cited of 73 All 73 (JSON)
- 2026Deep Neural Networks for Doubly Robust Estimation with Nonprobability Survey Samples27 May 2026
- 2026Timestep-Aware Block Masking for Efficient Diffusion Model Inference20 Mar 2026
- 2025Explore and Establish Synergistic Effects Between Weight Pruning and Coreset Selection in Neural Network Training13 Nov 2025
- 2025Slice or the Whole Pie? Utility Control for AI Models6 Aug 2025
- 2025Global Minimizers of ℓp-Regularized Objectives Yield the Sparsest ReLU Neural Networks27 May 2025
- 2025Graph Inverse Style Transfer for Counterfactual Explainability23 May 2025
- 2025SAND: One-Shot Feature Selection with Additive Noise Distortion6 May 2025
- 2025Boosting Large Language Models with Mask Fine-Tuning27 Mar 2025
- 2025Temporal Action Detection Model Compression by Progressive Block Drop21 Mar 2025
- 2025Advancing Weight and Channel Sparsification with Enhanced Saliency5 Feb 2025
- 2024Efficient Sparse Training with Structured Dropout2 Nov 2024
- 2024Circuit Compositions: Exploring Modular Structures in Transformer-Based Language Models2 Oct 2024
38 more
- 2024Value-Based Deep Multi-Agent Reinforcement Learning with Dynamic Sparse Training28 Sep 2024
- 2024Sparsifying Parametric Models with L0 Regularization5 Sep 2024
- 2024Mini-batch Estimation for Deep Cox Models: Statistical Foundations and Practical Guidance5 Aug 2024
- 2024Deep Fr'echet Regression31 Jul 2024
- 2024Bypass Back-propagation: Optimization-based Structural Pruning for Large Language Models via Policy Gradient15 Jun 2024
- 2024DIET: Customized Slimming for Incompatible Networks in Sequential Recommendation13 Jun 2024
- 2024Sparse-ProxSkip: Accelerated Sparse-to-Sparse Training in Federated Learning31 May 2024
- 2024TLINet: Differentiable Neural Network Temporal Logic Inference3 May 2024
- 2024Random Search as a Baseline for Sparse Neural Network Architecture Search13 Mar 2024
- 2024Zero-Space Cost Fault Tolerance for Transformer-based Language Models on ReRAM22 Jan 2024
- 2023DSFormer: Effective Compression of Text-Transformers by Dense-Sparse Weight Factorization20 Dec 2023
- 2023Sparse Multitask Learning for Efficient Neural Representation of Motor Imagery and Execution10 Dec 2023
- 2023An End-to-End Network Pruning Pipeline with Sparsity Enforcement4 Dec 2023
- 2023Efficient Neural Networks for Tiny Machine Learning: A Comprehensive Review20 Nov 2023
- 2023Efficient Symbolic Policy Learning with Differentiable Symbolic Expression2 Nov 2023
- 2023LinGCN: Structural Linearized Graph Convolutional Network for Homomorphically Encrypted Inference25 Sep 2023
- 2023AutoReP: Automatic ReLU Replacement for Fast Private Network Inference20 Aug 2023
- 2023UPSCALE: Unconstrained Channel Pruning17 Jul 2023
- 2023Binary domain generalization for sparsifying binary neural networks23 Jun 2023
- 2023Learning Activation Functions for Sparse Neural Networks18 May 2023
- 2023Effective Neural Network L0 Regularization With BinMask21 Apr 2023
- 2023Evil from Within: Machine Learning Backdoors through Hardware Trojans17 Apr 2023
- 2023NTK-SAP: Improving neural network pruning by aligning training dynamics6 Apr 2023
- 2023Learning Sparsity of Representations with Discrete Latent Variables3 Apr 2023
- 2023Balanced Training for Sparse GANs28 Feb 2023
- 2023Break It Down: Evidence for Structural Compositionality in Neural Networks26 Jan 2023
- 2022Spatial Mixture-of-Experts24 Nov 2022
- 2022Bayesian autoencoders for data-driven discovery of coordinates, governing equations and fundamental constants19 Nov 2022
- 2022Streaming, fast and accurate on-device Inverse Text Normalization for Automatic Speech Recognition7 Nov 2022
- 2022A Survey on Graph Counterfactual Explanations: Definitions, Methods, Evaluation, and Research Challenges21 Oct 2022
- 2022Learning Signal Temporal Logic through Neural Network for Interpretable Classification4 Oct 2022
- 2022Sequential Attention for Feature Selection29 Sep 2022
- 2022Sparse Vicious Attacks on Graph Neural Networks20 Sep 2022
- 2022Optimal bump functions for shallow ReLU networks: Weight decay, depth separation and the curse of dimensionality2 Sep 2022
- 2022Interaction Decompositions for Tensor Network Regression11 Aug 2022
- 2022Sparsifying Binary Networks11 Jul 2022
- 2022DiSparse: Disentangled Sparsification for Multitask Model Compression9 Jun 2022
- 2022RLx2: Training a Sparse Deep Reinforcement Learning Model from Scratch30 May 2022
50 newest of 73 All 73 (JSON)
- 2022Spatial Mixture-of-Expertscited by 14
- 2022Spatial Mixture-of-Experts24 Nov 2022
- 2021CF-GNNExplainer: Counterfactual Explanations for Graph Neural Networkscited by 119
- 2021Do We Actually Need Dense Over-Parameterization? In-Time Over-Parameterization in Sparse Trainingcited by 110
- 2021Sparse Training via Boosting Pruning Plasticity with Neuroregenerationcited by 84
- 2021Effective Sparsification of Neural Networks with Global Sparsity Constraintcited by 45
- 2023Break It Down: Evidence for Structural Compositionality in Neural Networkscited by 44
- 2021Efficient Neural Network Training via Forward and Backward Propagation Sparsificationcited by 30
- 2022RLx2: Training a Sparse Deep Reinforcement Learning Model from Scratchcited by 30
- 2022A Survey on Graph Counterfactual Explanations: Definitions, Methods, Evaluation, and Research Challengescited by 30
- 2023NTK-SAP: Improving neural network pruning by aligning training dynamicscited by 30
- 2021GDP: Stabilized Neural Network Pruning via Gates with Differentiable Polarizationcited by 29
- 2023AutoReP: Automatic ReLU Replacement for Fast Private Network Inferencecited by 29
- 2023LinGCN: Structural Linearized Graph Convolutional Network for Homomorphically Encrypted Inferencecited by 27
12 most cited of 71 All 71 (JSON)
- 2026Deep Neural Networks for Doubly Robust Estimation with Nonprobability Survey Samples27 May 2026
- 2025Explore and Establish Synergistic Effects Between Weight Pruning and Coreset Selection in Neural Network Training13 Nov 2025
- 2025Slice or the Whole Pie? Utility Control for AI Models6 Aug 2025
- 2025Global Minimizers of ℓp-Regularized Objectives Yield the Sparsest ReLU Neural Networks27 May 2025
- 2025Graph Inverse Style Transfer for Counterfactual Explainability23 May 2025
- 2025SAND: One-Shot Feature Selection with Additive Noise Distortion6 May 2025
- 2025Boosting Large Language Models with Mask Fine-Tuning27 Mar 2025
- 2025Temporal Action Detection Model Compression by Progressive Block Drop21 Mar 2025
- 2025Advancing Weight and Channel Sparsification with Enhanced Saliency5 Feb 2025
- 2024Efficient Sparse Training with Structured Dropout2 Nov 2024
- 2024Circuit Compositions: Exploring Modular Structures in Transformer-Based Language Models2 Oct 2024
- 2024Value-Based Deep Multi-Agent Reinforcement Learning with Dynamic Sparse Training28 Sep 2024
12 newest of 71 All 71 (JSON)