Supermasks in Superposition
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Abstract (arXiv)
We present the Supermasks in Superposition (SupSup) model, capable of sequentially learning thousands of tasks without catastrophic forgetting. Our approach uses a randomly initialized, fixed base network and for each task finds a subnetwork (supermask) that achieves good performance. If task identity is given at test time, the correct subnetwork can be retrieved with minimal memory usage. If not provided, SupSup can infer the task using gradient-based optimization to find a linear superposition of learned supermasks which minimizes the output entropy. In practice we find that a single gradient step is often sufficient to identify the correct mask, even among 2500 tasks. We also showcase two promising extensions. First, SupSup models can be trained entirely without task identity information, as they may detect when they are uncertain about new data and allocate an additional supermask for the new training distribution. Finally the entire, growing set of supermasks can be stored in a constant-sized reservoir by implicitly storing them as attractors in a fixed-sized Hopfield network.
Key facts. Cited by 227 papers in the map (data through 14 Oct 2026). First posted on arXiv 26 Jun 2020.
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Citing papers per year: 2021: 28; 2022: 46; 2023: 57; 2024: 46; 2025: 34; 2026: 16.
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50 most cited of 227 All 227 (JSON)
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- 2026SpecDrop: Parameter-Free Category-Conditioned Routing for Modular Specialization4 Aug 2026
- 2026Cortex-Inspired Continual Learning: Unsupervised Instantiation and Recovery of Functional Task Networks27 Apr 2026
- 2026Similarity-Aware Mixture-of-Experts for Data-Efficient Continual Learning24 Mar 2026
- 2024More Experts Than Galaxies: Conditionally-overlapping Experts With Biologically-Inspired Fixed Routing10 Oct 2024
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- 2022Patching open-vocabulary models by interpolating weightscited by 190
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- 2026Relative Parameter Importance in Task-Agnostic Replay-Free Continual Learning1 Aug 2026
- 2026NORACL: Neurogenesis for Oracle-free Resource-Adaptive Continual Learning29 Apr 2026
- 2026Same Methods, Different Rankings: Trainable Depth as an Evaluation Variable in Continual Learning23 Apr 2026
- 2026SLE-FNO: Single-Layer Extensions for Task-Agnostic Continual Learning in Fourier Neural Operators20 Mar 2026
- 2026Beyond Static Models: An Evolving Framework for Continual Learning in Large Language Models across Training Stages13 Mar 2026
- 2026Exploring the Impact of Parameter Update Magnitude on Forgetting and Generalization of Continual Learning24 Feb 2026
- 2026FIRE: Frobenius-Isometry Reinitialization for Balancing the Stability-Plasticity Tradeoff8 Feb 2026
- 2025Distillation-Guided Structural Transfer for Continual Learning Beyond Sparse Distributed Memory17 Dec 2025
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