Proving the Lottery Ticket Hypothesis: Pruning is All You Need
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Abstract (arXiv)
The lottery ticket hypothesis (Frankle and Carbin, 2018), states that a randomly-initialized network contains a small subnetwork such that, when trained in isolation, can compete with the performance of the original network. We prove an even stronger hypothesis (as was also conjectured in Ramanujan et al., 2019), showing that for every bounded distribution and every target network with bounded weights, a sufficiently over-parameterized neural network with random weights contains a subnetwork with roughly the same accuracy as the target network, without any further training.
Key facts. Cited by 200 papers in the map (data through 7 Oct 2026). First posted on arXiv 3 Feb 2020.
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Citing papers per year: 2021: 32; 2022: 49; 2023: 37; 2024: 31; 2025: 30; 2026: 21.
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- 2024Parameter-Efficient Fine-Tuning for Large Models: A Comprehensive Surveycited by 641
- 2023A Survey on Deep Neural Network Pruning-Taxonomy, Comparison, Analysis, and Recommendationscited by 200
- 2021Composable Sparse Fine-Tuning for Cross-Lingual Transfercited by 144
- 2021Pixelated Butterfly: Simple and Efficient Sparse training for Neural Network Modelscited by 75
- 2022Finding Skill Neurons in Pre-trained Transformer-based Language Modelscited by 65
- 2021Multi-Prize Lottery Ticket Hypothesis: Finding Accurate Binary Neural Networks by Pruning A Randomly Weighted Networkcited by 55
- 2021PARP: Prune, Adjust and Re-Prune for Self-Supervised Speech Recognitioncited by 50
- 2021Playing Lottery Tickets with Vision and Languagecited by 45
- 2021Recent Advances on Neural Network Pruning at Initializationcited by 41
- 2022The Combinatorial Brain Surgeon: Pruning Weights That Cancel One Another in Neural Networkscited by 41
- 2022Rare Gems: Finding Lottery Tickets at Initializationcited by 34
- 2021MixMo: Mixing Multiple Inputs for Multiple Outputs via Deep Subnetworkscited by 32
38 more
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- 2023A Primer on Bayesian Neural Networks: Review and Debatescited by 26
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- 2021Lottery Ticket Preserves Weight Correlation: Is It Desirable or Not?cited by 22
- 2022Most Activation Functions Can Win the Lottery Without Excessive Depthcited by 21
- 2021Pruning Randomly Initialized Neural Networks with Iterative Randomizationcited by 20
- 2021Spartus: A 9.4 TOp/s FPGA-based LSTM Accelerator Exploiting Spatio-Temporal Sparsitycited by 20
- 2022A General Framework For Proving The Equivariant Strong Lottery Ticket Hypothesiscited by 19
- 2022DataMUX: Data Multiplexing for Neural Networkscited by 18
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- 2024How Uniform Random Weights Induce Non-uniform Bias: Typical Interpolating Neural Networks Generalize with Narrow Teacherscited by 18
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- 2023Successfully Applying Lottery Ticket Hypothesis to Diffusion Modelcited by 11
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- 2021Dense for the Price of Sparse: Improved Performance of Sparsely Initialized Networks via a Subspace Offsetcited by 9
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50 most cited of 200 All 200 (JSON)
- 2026On-the-fly Weight Generation: A Hypernetwork Proof of Concept on ARC-1D30 Sep 2026
- 2026Stabilizing the Dynamic Low-Rank Training26 Sep 2026
- 2026Artificial Structure Function Search: Preserving Artificial Functional Connectivity for Structured Pruning21 Sep 2026
- 2026A Unifying Relational Perspective on Expressive Lottery Tickets19 Aug 2026
- 2026Double-Scoring: Reliable Extraction of Strong Lottery Tickets15 Jul 2026
- 2026A Unified Framework for Quantized and Continuous Strong Lottery Tickets4 Jul 2026
- 2026Distilling a Modular Reservoir Through a Genomic Bottleneck20 Jun 2026
- 2026Finding Sparse Subnetworks in One Training Cycle via Progressive Magnitude-Based Pruning10 Jun 2026
- 2026STARFISH: faST Accuracy Recovery in pruned networks From Internal State Healing31 May 2026
- 2026Why Larger Models Learn More: Effects of Capacity, Interference, and Rare-Task Retention28 May 2026
- 2026Emergent Sparsity in Frozen Random CNN Feature Extractors for Deep Reinforcement Learning15 May 2026
- 2026Strategic Over-Parameterization for Generalizable Low-Rank Adaptation15 May 2026
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- 2026It's Not a Lottery, It's a Race: Understanding How Gradient Descent Adapts the Network's Capacity to the Task4 Feb 2026
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- 2025Investigating the Lottery Ticket Hypothesis for Variational Quantum Circuits14 Sep 2025
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- 2025Towards Scalable Lottery Ticket Networks using Genetic Algorithms12 Aug 2025
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- 2025Sparse Brains are Also Adaptive Brains: Cognitive-Load-Aware Dynamic Activation for LLMs26 Feb 2025
- 2025The impact of allocation strategies in subset learning on the expressive power of neural networks10 Feb 2025
- 2025Information Consistent Pruning: How to Efficiently Search for Sparse Networks?26 Jan 2025
50 newest of 200 All 200 (JSON)
- 2021Membership Inference Attacks on Lottery Ticket Networkscited by 3
- 2021Membership Inference Attacks on Lottery Ticket Networks7 Aug 2021
- 2024Parameter-Efficient Fine-Tuning for Large Models: A Comprehensive Surveycited by 641
- 2023A Survey on Deep Neural Network Pruning-Taxonomy, Comparison, Analysis, and Recommendationscited by 200
- 2021Composable Sparse Fine-Tuning for Cross-Lingual Transfercited by 144
- 2021Pixelated Butterfly: Simple and Efficient Sparse training for Neural Network Modelscited by 75
- 2022Finding Skill Neurons in Pre-trained Transformer-based Language Modelscited by 65
- 2021Multi-Prize Lottery Ticket Hypothesis: Finding Accurate Binary Neural Networks by Pruning A Randomly Weighted Networkcited by 55
- 2021PARP: Prune, Adjust and Re-Prune for Self-Supervised Speech Recognitioncited by 50
- 2021Playing Lottery Tickets with Vision and Languagecited by 45
- 2021Recent Advances on Neural Network Pruning at Initializationcited by 41
- 2022The Combinatorial Brain Surgeon: Pruning Weights That Cancel One Another in Neural Networkscited by 41
- 2022Rare Gems: Finding Lottery Tickets at Initializationcited by 34
- 2021MixMo: Mixing Multiple Inputs for Multiple Outputs via Deep Subnetworkscited by 32
12 most cited of 198 All 198 (JSON)
- 2026On-the-fly Weight Generation: A Hypernetwork Proof of Concept on ARC-1D30 Sep 2026
- 2026Stabilizing the Dynamic Low-Rank Training26 Sep 2026
- 2026Artificial Structure Function Search: Preserving Artificial Functional Connectivity for Structured Pruning21 Sep 2026
- 2026A Unifying Relational Perspective on Expressive Lottery Tickets19 Aug 2026
- 2026Double-Scoring: Reliable Extraction of Strong Lottery Tickets15 Jul 2026
- 2026A Unified Framework for Quantized and Continuous Strong Lottery Tickets4 Jul 2026
- 2026Distilling a Modular Reservoir Through a Genomic Bottleneck20 Jun 2026
- 2026Finding Sparse Subnetworks in One Training Cycle via Progressive Magnitude-Based Pruning10 Jun 2026
- 2026STARFISH: faST Accuracy Recovery in pruned networks From Internal State Healing31 May 2026
- 2026Why Larger Models Learn More: Effects of Capacity, Interference, and Rare-Task Retention28 May 2026
- 2026Emergent Sparsity in Frozen Random CNN Feature Extractors for Deep Reinforcement Learning15 May 2026
- 2026Strategic Over-Parameterization for Generalizable Low-Rank Adaptation15 May 2026
12 newest of 198 All 198 (JSON)