Power-scaled Bayesian Inference with Score-based Generative Models
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917379148087296 |
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| author | Erdinc, Huseyin Tuna Zeng, Yunlin Gahlot, Abhinav Prakash Herrmann, Felix J. |
| author_facet | Erdinc, Huseyin Tuna Zeng, Yunlin Gahlot, Abhinav Prakash Herrmann, Felix J. |
| contents | We propose a score-based generative algorithm for sampling from power-scaled priors and likelihoods within the Bayesian inference framework. Our algorithm enables flexible control over prior-likelihood influence without requiring retraining for different power-scaling configurations. Specifically, we focus on synthesizing seismic velocity models conditioned on imaged seismic. Our method enables sensitivity analysis by sampling from intermediate power posteriors, allowing us to assess the relative influence of the prior and likelihood on samples of the posterior distribution. Through a comprehensive set of experiments, we evaluate the effects of varying the power parameter in different settings: applying it solely to the prior, to the likelihood of a Bayesian formulation, and to both simultaneously. The results show that increasing the power of the likelihood up to a certain threshold improves the fidelity of posterior samples to the conditioning data (e.g., seismic images), while decreasing the prior power promotes greater structural diversity among samples. Moreover, we find that moderate scaling of the likelihood leads to a reduced shot data residual, confirming its utility in posterior refinement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_10807 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Power-scaled Bayesian Inference with Score-based Generative Models Erdinc, Huseyin Tuna Zeng, Yunlin Gahlot, Abhinav Prakash Herrmann, Felix J. Machine Learning Computer Vision and Pattern Recognition Geophysics We propose a score-based generative algorithm for sampling from power-scaled priors and likelihoods within the Bayesian inference framework. Our algorithm enables flexible control over prior-likelihood influence without requiring retraining for different power-scaling configurations. Specifically, we focus on synthesizing seismic velocity models conditioned on imaged seismic. Our method enables sensitivity analysis by sampling from intermediate power posteriors, allowing us to assess the relative influence of the prior and likelihood on samples of the posterior distribution. Through a comprehensive set of experiments, we evaluate the effects of varying the power parameter in different settings: applying it solely to the prior, to the likelihood of a Bayesian formulation, and to both simultaneously. The results show that increasing the power of the likelihood up to a certain threshold improves the fidelity of posterior samples to the conditioning data (e.g., seismic images), while decreasing the prior power promotes greater structural diversity among samples. Moreover, we find that moderate scaling of the likelihood leads to a reduced shot data residual, confirming its utility in posterior refinement. |
| title | Power-scaled Bayesian Inference with Score-based Generative Models |
| topic | Machine Learning Computer Vision and Pattern Recognition Geophysics |
| url | https://arxiv.org/abs/2504.10807 |