Research map / Probabilistic and scientific modeling / Uncertainty and Gaussian processes
A Rigorous Link between Deep Ensembles and (Variational) Bayesian Methods
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add KL regularisation and Langevin noise to deep ensembles | Deep ensembles · UCI regression benchmarks | test negative log likelihood | Mixed |
| Add MMD-based repulsive interactions and KL regularisation | Deep Langevin ensembles · UCI regression benchmarks | test negative log likelihood | Mixed |
| Use a finite Gaussian variational family instead of an infinite-dimensional particle distribution | GVI · Multimodal toy loss | approximation quality to the global minimiser | Hurt |
| Add regularisation and Langevin noise | Deep ensembles · Multimodal toy loss | particle spread around local minima | Helped |
| Add MMD repulsion to Langevin particles | Deep Langevin ensembles · Multimodal toy loss | global-minimiser convergence | Helped |
| Use unregularised gradient descent from random initialisations rather than a regularised objective | Deep ensembles · Loss landscape with multiple local minima | convergence to the global minimiser | Hurt |
| Use few particles relative to the number of local minima | Deep ensembles, DLE, and DRLE · Toy loss with 2000 local minima | approximation quality to the global minimiser: 2000; 20; 16/20 | Hurt |
Closest papers by meaning
- Variational inference via Wasserstein gradient flows (NeurIPS 2022 · similarity 0.89)
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- Beyond Deep Ensembles: A Large-Scale Evaluation of Bayesian Deep Learning under Distribution Shift (NeurIPS 2023 · similarity 0.88)
- Theoretical Guarantees for Variational Inference with Fixed-Variance Mixture of Gaussians (ICML 2024 · similarity 0.88)
- Variational Bayesian Monte Carlo (NeurIPS 2018 · similarity 0.88)
- Bayesian Online Natural Gradient (BONG) (NeurIPS 2024 · similarity 0.87)
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