mlsanityData to 7 Oct 2026

Function-space Parameterization of Neural Networks for Sequential Learning

arXiv 2403.10929 ↗First posted 16 Mar 2024stat.ML cs.LGcited by 7

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Abstract (arXiv)

Sequential learning paradigms pose challenges for gradient-based deep learning due to difficulties incorporating new data and retaining prior knowledge. While Gaussian processes elegantly tackle these problems, they struggle with scalability and handling rich inputs, such as images. To address these issues, we introduce a technique that converts neural networks from weight space to function space, through a dual parameterization. Our parameterization offers: (i) a way to scale function-space methods to large data sets via sparsification, (ii) retention of prior knowledge when access to past data is limited, and (iii) a mechanism to incorporate new data without retraining. Our experiments demonstrate that we can retain knowledge in continual learning and incorporate new data efficiently. We further show its strengths in uncertainty quantification and guiding exploration in model-based RL. Further information and code is available on the project website.

Key facts. Cited by 7 papers in the map (data through 7 Oct 2026). Builds on 46 of its 72 references that are in the map. First posted on arXiv 16 Mar 2024.

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46 of 72 references.

References · 46

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34 more
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7 papers.