Function-space Parameterization of Neural Networks for Sequential Learning

Published: 16 Jan 2024, Last Modified: 16 Mar 2024ICLR 2024 posterEveryoneRevisionsBibTeX
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Keywords: Neural networks, Bayesian deep learning, deep learning, Gaussian processes, Laplace approximation, sequential learning
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TL;DR: Converting neural networks to sparse function-space representation for sequential learning
Abstract: 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.
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Primary Area: probabilistic methods (Bayesian methods, variational inference, sampling, UQ, etc.)
Submission Number: 1379