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Research map / Probabilistic and scientific modeling / Uncertainty and Gaussian processes

A Rigorous Link between Deep Ensembles and (Variational) Bayesian Methods

NeurIPS 2023 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Variational Bayesian deep learning · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add KL regularisation and Langevin noise to deep ensemblesDeep ensembles · UCI regression benchmarkstest negative log likelihoodMixed
Add MMD-based repulsive interactions and KL regularisationDeep Langevin ensembles · UCI regression benchmarkstest negative log likelihoodMixed
Use a finite Gaussian variational family instead of an infinite-dimensional particle distributionGVI · Multimodal toy lossapproximation quality to the global minimiserHurt
Add regularisation and Langevin noiseDeep ensembles · Multimodal toy lossparticle spread around local minimaHelped
Add MMD repulsion to Langevin particlesDeep Langevin ensembles · Multimodal toy lossglobal-minimiser convergenceHelped
Use unregularised gradient descent from random initialisations rather than a regularised objectiveDeep ensembles · Loss landscape with multiple local minimaconvergence to the global minimiserHurt
Use few particles relative to the number of local minimaDeep ensembles, DLE, and DRLE · Toy loss with 2000 local minimaapproximation quality to the global minimiser: 2000; 20; 16/20Hurt

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