Coin Sampling: Gradient-Based Bayesian Inference without Learning Rates
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Abstract (arXiv)
In recent years, particle-based variational inference (ParVI) methods such as Stein variational gradient descent (SVGD) have grown in popularity as scalable methods for Bayesian inference. Unfortunately, the properties of such methods invariably depend on hyperparameters such as the learning rate, which must be carefully tuned by the practitioner in order to ensure convergence to the target measure at a suitable rate. In this paper, we introduce a suite of new particle-based methods for scalable Bayesian inference based on coin betting, which are entirely learning-rate free. We illustrate the performance of our approach on a range of numerical examples, including several high-dimensional models and datasets, demonstrating comparable performance to other ParVI algorithms with no need to tune a learning rate.
Key facts. Cited by 8 papers in the map (data through 7 Oct 2026). Builds on 57 of its 109 references that are in the map. First posted on arXiv 26 Jan 2023.
Builds on
57 of 109 references.
References · 57
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38 more
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Citing papers per year: 2023: 5; 2024: 3.
8 papers.
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- 2023Momentum Particle Maximum Likelihoodcited by 12
- 2023Tuning-Free Maximum Likelihood Training of Latent Variable Models via Coin Bettingcited by 11
- 2024The Price of Adaptivity in Stochastic Convex Optimizationcited by 11
- 2023Learning Rate Free Sampling in Constrained Domainscited by 3
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- 2024Learning-Rate-Free Stochastic Optimization over Riemannian Manifolds4 Jun 2024
- 2024The Price of Adaptivity in Stochastic Convex Optimization16 Feb 2024
- 2023Momentum Particle Maximum Likelihood12 Dec 2023
- 2023Entropy-based Training Methods for Scalable Neural Implicit Sampler8 Jun 2023
- 2023Learning Rate Free Sampling in Constrained Domains24 May 2023
- 2023Tuning-Free Maximum Likelihood Training of Latent Variable Models via Coin Betting24 May 2023
- 2023Interacting Particle Langevin Algorithm for Maximum Marginal Likelihood Estimation23 Mar 2023