Contrastive Neural Ratio Estimation for Simulation-based Inference
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Abstract (arXiv)
Likelihood-to-evidence ratio estimation is usually cast as either a binary (NRE-A) or a multiclass (NRE-B) classification task. In contrast to the binary classification framework, the current formulation of the multiclass version has an intrinsic and unknown bias term, making otherwise informative diagnostics unreliable. We propose a multiclass framework free from the bias inherent to NRE-B at optimum, leaving us in the position to run diagnostics that practitioners depend on. It also recovers NRE-A in one corner case and NRE-B in the limiting case. For fair comparison, we benchmark the behavior of all algorithms in both familiar and novel training regimes: when jointly drawn data is unlimited, when data is fixed but prior draws are unlimited, and in the commonplace fixed data and parameters setting. Our investigations reveal that the highest performing models are distant from the competitors (NRE-A, NRE-B) in hyperparameter space. We make a recommendation for hyperparameters distinct from the previous models. We suggest two bounds on the mutual information as performance metrics for simulation-based inference methods, without the need for posterior samples, and provide experimental results. This version corrects a minor implementation error in γ, improving results.
Key facts. Cited by 7 papers in the map (data through 7 Oct 2026). Builds on 39 of its 89 references that are in the map. First posted on arXiv 11 Oct 2022.
Builds on
39 of 89 references.
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Citing papers per year: 2023: 6; 2024: 0; 2025: 1.
7 papers.
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- 2023Pseudo-Likelihood Inferencecited by 0
- 2025Simulation-Based Inference: A Practical Guide18 Aug 2025
- 2023Pseudo-Likelihood Inference28 Nov 2023
- 2023Calibrating Neural Simulation-Based Inference with Differentiable Coverage Probability20 Oct 2023
- 2023Simulation-based Inference with the Generalized Kullback-Leibler Divergence3 Oct 2023
- 2023Hierarchical Neural Simulation-Based Inference Over Event Ensembles21 Jun 2023
- 2023Learning Likelihood Ratios with Neural Network Classifiers17 May 2023
- 2023Balancing Simulation-based Inference for Conservative Posteriors21 Apr 2023