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Yannic Kilcher

SupSup: Supermasks in Superposition (Paper Explained)

By Advanced AI EditorMay 11, 2025No Comments2 Mins Read
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Supermasks are binary masks of a randomly initialized neural network that result in the masked network performing well on a particular task. This paper considers the problem of (sequential) Lifelong Learning and trains one Supermask per Task, while keeping the randomly initialized base network constant. By minimizing the output entropy, the system can automatically derive the Task ID of a data point at inference time and distinguish up to 2500 tasks automatically.

OUTLINE:
0:00 – Intro & Overview
1:20 – Catastrophic Forgetting
5:20 – Supermasks
9:35 – Lifelong Learning using Supermasks
11:15 – Inference Time Task Discrimination by Entropy
15:05 – Mask Superpositions
24:20 – Proof-of-Concept, Task Given at Inference
30:15 – Binary Maximum Entropy Search
32:00 – Task Not Given at Inference
37:15 – Task Not Given at Training
41:35 – Ablations
45:05 – Superfluous Neurons
51:10 – Task Selection by Detecting Outliers
57:40 – Encoding Masks in Hopfield Networks
59:40 – Conclusion

Paper:
Code:

My Video about Lottery Tickets:
My Video about Supermasks:

Abstract:
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.

Authors: Mitchell Wortsman, Vivek Ramanujan, Rosanne Liu, Aniruddha Kembhavi, Mohammad Rastegari, Jason Yosinski, Ali Farhadi

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