Top-KAST: Top-K Always Sparse Training
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Abstract (arXiv)
Sparse neural networks are becoming increasingly important as the field seeks to improve the performance of existing models by scaling them up, while simultaneously trying to reduce power consumption and computational footprint. Unfortunately, most existing methods for inducing performant sparse models still entail the instantiation of dense parameters, or dense gradients in the backward-pass, during training. For very large models this requirement can be prohibitive. In this work we propose Top-KAST, a method that preserves constant sparsity throughout training (in both the forward and backward-passes). We demonstrate the efficacy of our approach by showing that it performs comparably to or better than previous works when training models on the established ImageNet benchmark, whilst fully maintaining sparsity. In addition to our ImageNet results, we also demonstrate our approach in the domain of language modeling where the current best performing architectures tend to have tens of billions of parameters and scaling up does not yet seem to have saturated performance. Sparse versions of these architectures can be run with significantly fewer resources, making them more widely accessible and applicable. Furthermore, in addition to being effective, our approach is straightforward and can easily be implemented in a wide range of existing machine learning frameworks with only a few additional lines of code. We therefore hope that our contribution will help enable the broader community to explore the potential held by massive models, without incurring massive computational cost.
Key facts. Cited by 79 papers in the map (data through 7 Oct 2026). Builds on 32 of its 46 references that are in the map. First posted on arXiv 7 Jun 2021.
Builds on
32 of 46 references.
References · 32
- 2017Attention Is All You Needcited by 59,932
- 2019EfficientNet: Rethinking Model Scaling for Convolutional Neural Networkscited by 6,415
- 2020Scaling Laws for Neural Language Modelscited by 6,411
- 2016Pointer Sentinel Mixture Modelscited by 2,992
- 2018The Lottery Ticket Hypothesis: Finding Sparse, Trainable Neural Networkscited by 2,250
- 2015Learning both Weights and Connections for Efficient Neural Networkscited by 1,998
- 2019Transformer-XL: Attentive Language Models Beyond a Fixed-Length Contextcited by 1,830
- 2019Megatron-LM: Training Multi-Billion Parameter Language Models Using Model Parallelismcited by 1,829
- 2019Energy and Policy Considerations for Deep Learning in NLPcited by 1,242
- 2016HyperNetworkscited by 1,003
- 2019Green AIcited by 620
- 2017In-Datacenter Performance Analysis of a Tensor Processing Unitcited by 610
20 more
- 2017To prune, or not to prune: exploring the efficacy of pruning for model compressioncited by 596
- 2017Learning Sparse Neural Networks through L0 Regularizationcited by 571
- 2013Generating Sequences With Recurrent Neural Networkscited by 549
- 2019Rigging the Lottery: Making All Tickets Winnerscited by 491
- 2019The State of Sparsity in Deep Neural Networkscited by 471
- 2017Scalable Training of Artificial Neural Networks with Adaptive Sparse Connectivity inspired by Network Sciencecited by 325
- 2017Variational Dropout Sparsifies Deep Neural Networkscited by 265
- 2018Streaming End-to-end Speech Recognition For Mobile Devicescited by 230
- 2018Adaptive Input Representations for Neural Language Modelingcited by 226
- 2018Efficient Neural Audio Synthesiscited by 218
- 2019Deconstructing Lottery Tickets: Zeros, Signs, and the Supermaskcited by 206
- 2019Parameter Efficient Training of Deep Convolutional Neural Networks by Dynamic Sparse Reparameterizationcited by 187
- 2020Soft Threshold Weight Reparameterization for Learnable Sparsitycited by 150
- 2017Deep Rewiring: Training very sparse deep networkscited by 136
- 2019Augmenting Self-attention with Persistent Memorycited by 92
- 2017Exploring Sparsity in Recurrent Neural Networkscited by 75
- 2019The Difficulty of Training Sparse Neural Networkscited by 62
- 2019Discovering Neural Wiringscited by 56
- 2016Multiplicative LSTM for sequence modellingcited by 27
- 2019Non-Differentiable Supervised Learning with Evolution Strategies and Hybrid Methodscited by 8
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Citing papers per year: 2021: 11; 2022: 18; 2023: 24; 2024: 10; 2025: 11; 2026: 5.
79 papers.
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- 2021Chasing Sparsity in Vision Transformers: An End-to-End Explorationcited by 181
- 2022More ConvNets in the 2020s: Scaling up Kernels Beyond 51x51 using Sparsitycited by 142
- 2023Let's Sample Step by Step: Adaptive-Consistency for Efficient Reasoning and Coding with LLMscited by 111
- 2022Monarch: Expressive Structured Matrices for Efficient and Accurate Trainingcited by 100
- 2022The Unreasonable Effectiveness of Random Pruning: Return of the Most Naive Baseline for Sparse Trainingcited by 85
- 2021Sparse Training via Boosting Pruning Plasticity with Neuroregenerationcited by 83
- 2022Make Sharpness-Aware Minimization Stronger: A Sparsified Perturbation Approachcited by 70
- 2023Dynamic Sparse No Training: Training-Free Fine-tuning for Sparse LLMscited by 61
- 2021AC/DC: Alternating Compressed/DeCompressed Training of Deep Neural Networkscited by 58
- 2021How Well Do Sparse Imagenet Models Transfer?cited by 50
- 2021Dynamic Sparse Training for Deep Reinforcement Learningcited by 49
- 2021Powerpropagation: A sparsity inducing weight reparameterisationcited by 49
38 more
- 2021Deep Ensembling with No Overhead for either Training or Testing: The All-Round Blessings of Dynamic Sparsitycited by 44
- 2022Sparsity Winning Twice: Better Robust Generalization from More Efficient Trainingcited by 41
- 2023Scaling Laws for Sparsely-Connected Foundation Modelscited by 41
- 2025Weight-sparse transformers have interpretable circuitscited by 40
- 2023Dynamic Sparse Training with Structured Sparsitycited by 36
- 2022SPDY: Accurate Pruning with Speedup Guaranteescited by 34
- 2022Learning Best Combination for Efficient N:M Sparsitycited by 32
- 2022Achieving Personalized Federated Learning with Sparse Local Modelscited by 30
- 2023SPDF: Sparse Pre-training and Dense Fine-tuning for Large Language Modelscited by 26
- 2023Ten Lessons We Have Learned in the New "Sparseland": A Short Handbook for Sparse Neural Network Researcherscited by 25
- 2022Meta-Learning Sparse Compression Networkscited by 22
- 2024FIARSE: Model-Heterogeneous Federated Learning via Importance-Aware Submodel Extractioncited by 21
- 2022Towards Sparsification of Graph Neural Networkscited by 18
- 2023Dynamic Sparsity Is Channel-Level Sparsity Learnercited by 17
- 2023E2ENet: Dynamic Sparse Feature Fusion for Accurate and Efficient 3D Medical Image Segmentationcited by 16
- 2021ScaleCert: Scalable Certified Defense against Adversarial Patches with Sparse Superficial Layerscited by 15
- 2022Where to Pay Attention in Sparse Training for Feature Selection?cited by 15
- 2024LSK3DNet: Towards Effective and Efficient 3D Perception with Large Sparse Kernelscited by 15
- 2021Towards Structured Dynamic Sparse Pre-Training of BERTcited by 12
- 2022Dimensionality Reduced Training by Pruning and Freezing Parts of a Deep Neural Network, a Surveycited by 12
- 2023SparseProp: Efficient Sparse Backpropagation for Faster Training of Neural Networkscited by 12
- 2023A Unified Framework for Soft Threshold Pruningcited by 12
- 2024Dynamic Sparse Training versus Dense Training: The Unexpected Winner in Image Corruption Robustnesscited by 11
- 2023Accurate Neural Network Pruning Requires Rethinking Sparse Optimizationcited by 10
- 2022On the Neural Tangent Kernel Analysis of Randomly Pruned Neural Networkscited by 9
- 2023HyperSparse Neural Networks: Shifting Exploration to Exploitation through Adaptive Regularizationcited by 9
- 2025TeleSparse: Practical Privacy-Preserving Verification of Deep Neural Networkscited by 9
- 2022Spartan: Differentiable Sparsity via Regularized Transportationcited by 8
- 2022Safety and Performance, Why not Both? Bi-Objective Optimized Model Compression toward AI Software Deploymentcited by 8
- 2023Continual Learning with Dynamic Sparse Training: Exploring Algorithms for Effective Model Updatescited by 8
- 2021Avoiding Forgetting and Allowing Forward Transfer in Continual Learning via Sparse Networkscited by 7
- 2023Supervised Feature Selection with Neuron Evolution in Sparse Neural Networkscited by 7
- 2023Sparse-IFT: Sparse Iso-FLOP Transformations for Maximizing Training Efficiencycited by 7
- 2022Cyclical Pruning for Sparse Neural Networkscited by 6
- 2022Superposing Many Tickets into One: A Performance Booster for Sparse Neural Network Trainingcited by 6
- 2023Balance is Essence: Accelerating Sparse Training via Adaptive Gradient Correctioncited by 5
- 2022Compositional Generalization in Grounded Language Learning via Induced Model Sparsitycited by 4
- 2023Calibrating the Rigged Lottery: Making All Tickets Reliablecited by 4
50 most cited of 79 All 79 (JSON)
- 2026Beyond Low-Rank: Low-Rank Sparse Prompting via Spiking Neural Network and Prompt Factorization1 Jun 2026
- 2026Representation-Aligned Multi-Scale Personalization for Federated Learning13 Apr 2026
- 2026Accurate and Efficient Multi-Channel Time Series Forecasting via Sparse Attention Mechanism19 Mar 2026
- 2026ZO-SAM: Zero-Order Sharpness-Aware Minimization for Efficient Sparse Training13 Mar 2026
- 2026Sparse Training of Neural Networks based on Multilevel Mirror Descent3 Feb 2026
- 2025Weight-sparse transformers have interpretable circuits17 Nov 2025
- 2025Neuro-inspired Ensemble-to-Ensemble Communication Primitives for Sparse and Efficient ANNs19 Aug 2025
- 2025TopK Language Models26 Jun 2025
- 2025Dynamic Sparse Training of Diagonally Sparse Networks13 Jun 2025
- 2025Hyperpruning: Efficient Search through Pruned Variants of Recurrent Neural Networks Leveraging Lyapunov Spectrum9 Jun 2025
- 2025TeleSparse: Practical Privacy-Preserving Verification of Deep Neural Networks27 Apr 2025
- 2025Differential Privacy Personalized Federated Learning Based on Dynamically Sparsified Client Updates12 Mar 2025
38 more
- 2025Advancing Weight and Channel Sparsification with Enhanced Saliency5 Feb 2025
- 2025CoNNect: Connectivity-Based Regularization for Structural Pruning2 Feb 2025
- 2025FedRTS: Federated Robust Pruning via Combinatorial Thompson Sampling31 Jan 2025
- 2025Brain network science modelling of sparse neural networks enables Transformers and LLMs to perform as fully connected31 Jan 2025
- 2024Pushing the Limits of Sparsity: A Bag of Tricks for Extreme Pruning20 Nov 2024
- 2024Dynamic Sparse Training versus Dense Training: The Unexpected Winner in Image Corruption Robustness3 Oct 2024
- 2024Are Sparse Neural Networks Better Hard Sample Learners?13 Sep 2024
- 2024Unveiling the Power of Sparse Neural Networks for Feature Selection8 Aug 2024
- 2024FIARSE: Model-Heterogeneous Federated Learning via Importance-Aware Submodel Extraction28 Jul 2024
- 2024Quantitative Evaluation of the Saliency Map for Alzheimer's Disease Classifier with Anatomical Segmentation11 Jul 2024
- 2024Embracing Unknown Step by Step: Towards Reliable Sparse Training in Real World29 Mar 2024
- 2024LSK3DNet: Towards Effective and Efficient 3D Perception with Large Sparse Kernels22 Mar 2024
- 2024Always-Sparse Training by Growing Connections with Guided Stochastic Exploration12 Jan 2024
- 2024Safety and Performance, Why Not Both? Bi-Objective Optimized Model Compression against Heterogeneous Attacks Toward AI Software Deployment2 Jan 2024
- 2023E2ENet: Dynamic Sparse Feature Fusion for Accurate and Efficient 3D Medical Image Segmentation7 Dec 2023
- 2023REST: Enhancing Group Robustness in DNNs through Reweighted Sparse Training5 Dec 2023
- 2023Towards Higher Ranks via Adversarial Weight Pruning29 Nov 2023
- 2023Dynamic Sparse No Training: Training-Free Fine-tuning for Sparse LLMs13 Oct 2023
- 2023Feather: An Elegant Solution to Effective DNN Sparsification3 Oct 2023
- 2023Scaling Laws for Sparsely-Connected Foundation Models15 Sep 2023
- 2023Continual Learning with Dynamic Sparse Training: Exploring Algorithms for Effective Model Updates28 Aug 2023
- 2023HyperSparse Neural Networks: Shifting Exploration to Exploitation through Adaptive Regularization14 Aug 2023
- 2023Accurate Neural Network Pruning Requires Rethinking Sparse Optimization3 Aug 2023
- 2023Systematic Investigation of Sparse Perturbed Sharpness-Aware Minimization Optimizer30 Jun 2023
- 2023Dynamic Sparsity Is Channel-Level Sparsity Learner30 May 2023
- 2023Adaptive Sparsity Level during Training for Efficient Time Series Forecasting with Transformers28 May 2023
- 2023Let's Sample Step by Step: Adaptive-Consistency for Efficient Reasoning and Coding with LLMs19 May 2023
- 2023Dynamic Sparse Training with Structured Sparsity3 May 2023
- 2023AUTOSPARSE: Towards Automated Sparse Training of Deep Neural Networks14 Apr 2023
- 2023Sparse-IFT: Sparse Iso-FLOP Transformations for Maximizing Training Efficiency21 Mar 2023
- 2023SPDF: Sparse Pre-training and Dense Fine-tuning for Large Language Models18 Mar 2023
- 2023Supervised Feature Selection with Neuron Evolution in Sparse Neural Networks10 Mar 2023
- 2023A Unified Framework for Soft Threshold Pruning25 Feb 2023
- 2023Calibrating the Rigged Lottery: Making All Tickets Reliable18 Feb 2023
- 2023SparseProp: Efficient Sparse Backpropagation for Faster Training of Neural Networks9 Feb 2023
- 2023Ten Lessons We Have Learned in the New "Sparseland": A Short Handbook for Sparse Neural Network Researchers6 Feb 2023
- 2023Balance is Essence: Accelerating Sparse Training via Adaptive Gradient Correction9 Jan 2023
- 2023Pruning Before Training May Improve Generalization, Provably1 Jan 2023
50 newest of 79 All 79 (JSON)
- 2021Chasing Sparsity in Vision Transformers: An End-to-End Explorationcited by 181
- 2022More ConvNets in the 2020s: Scaling up Kernels Beyond 51x51 using Sparsitycited by 142
- 2022Monarch: Expressive Structured Matrices for Efficient and Accurate Trainingcited by 100
- 2022The Unreasonable Effectiveness of Random Pruning: Return of the Most Naive Baseline for Sparse Trainingcited by 85
- 2021Sparse Training via Boosting Pruning Plasticity with Neuroregenerationcited by 83
- 2022Make Sharpness-Aware Minimization Stronger: A Sparsified Perturbation Approachcited by 70
- 2023Dynamic Sparse No Training: Training-Free Fine-tuning for Sparse LLMscited by 61
- 2021AC/DC: Alternating Compressed/DeCompressed Training of Deep Neural Networkscited by 58
- 2021How Well Do Sparse Imagenet Models Transfer?cited by 50
- 2021Dynamic Sparse Training for Deep Reinforcement Learningcited by 49
- 2021Powerpropagation: A sparsity inducing weight reparameterisationcited by 49
- 2021Deep Ensembling with No Overhead for either Training or Testing: The All-Round Blessings of Dynamic Sparsitycited by 44
12 most cited of 77 All 77 (JSON)
- 2026Beyond Low-Rank: Low-Rank Sparse Prompting via Spiking Neural Network and Prompt Factorization1 Jun 2026
- 2026Representation-Aligned Multi-Scale Personalization for Federated Learning13 Apr 2026
- 2026Accurate and Efficient Multi-Channel Time Series Forecasting via Sparse Attention Mechanism19 Mar 2026
- 2026ZO-SAM: Zero-Order Sharpness-Aware Minimization for Efficient Sparse Training13 Mar 2026
- 2026Sparse Training of Neural Networks based on Multilevel Mirror Descent3 Feb 2026
- 2025Weight-sparse transformers have interpretable circuits17 Nov 2025
- 2025Neuro-inspired Ensemble-to-Ensemble Communication Primitives for Sparse and Efficient ANNs19 Aug 2025
- 2025TopK Language Models26 Jun 2025
- 2025Dynamic Sparse Training of Diagonally Sparse Networks13 Jun 2025
- 2025Hyperpruning: Efficient Search through Pruned Variants of Recurrent Neural Networks Leveraging Lyapunov Spectrum9 Jun 2025
- 2025TeleSparse: Practical Privacy-Preserving Verification of Deep Neural Networks27 Apr 2025
- 2025Differential Privacy Personalized Federated Learning Based on Dynamically Sparsified Client Updates12 Mar 2025
12 newest of 77 All 77 (JSON)