Connecting the Dots: Is Mode-Connectedness the Key to Feasible Sample-Based Inference in Bayesian Neural Networks?

• URL: http://arxiv.org/abs/2402.01484v2
• Date: Tue, 28 May 2024 03:13:08 GMT
• Title: Connecting the Dots: Is Mode-Connectedness the Key to Feasible Sample-Based Inference in Bayesian Neural Networks?
• Authors: Emanuel Sommer, Lisa Wimmer, Theodore Papamarkou, Ludwig Bothmann, Bernd Bischl, David Rügamer,
• Abstract summary: A major challenge in sample-based inference ( SBI) for Bayesian neural networks is the size and structure of the networks' parameter space. We show that successful SBI is possible by embracing the characteristic relationship between weight and function space. We present a deep ensemble approach as an effective solution with competitive performance and uncertainty quantification.
• Score: 9.332937821095653
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A major challenge in sample-based inference (SBI) for Bayesian neural networks is the size and structure of the networks' parameter space. Our work shows that successful SBI is possible by embracing the characteristic relationship between weight and function space, uncovering a systematic link between overparameterization and the difficulty of the sampling problem. Through extensive experiments, we establish practical guidelines for sampling and convergence diagnosis. As a result, we present a deep ensemble initialized approach as an effective solution with competitive performance and uncertainty quantification.

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