Neural Surrogate HMC: On Using Neural Likelihoods for Hamiltonian Monte Carlo in Simulation-Based Inference

arXiv — cs.LGWednesday, December 10, 2025 at 5:00:00 AM
  • A new study introduces Neural Surrogate Hamiltonian Monte Carlo (HMC), which leverages neural likelihoods to enhance Bayesian inference methods, particularly Markov Chain Monte Carlo (MCMC). This approach addresses the computational challenges associated with likelihood function evaluations by employing machine learning techniques to streamline the process. The method demonstrates significant advantages, including improved efficiency and robustness in simulations.
  • This development is crucial as it provides a more efficient framework for Bayesian inference, particularly in scenarios where traditional MCMC methods face computational limitations. By integrating neural networks to approximate likelihood functions, researchers can achieve faster convergence and more accurate results, which is essential for complex modeling tasks in various scientific fields.
  • The integration of neural networks into traditional Bayesian methods reflects a broader trend in artificial intelligence, where machine learning techniques are increasingly applied to enhance classical statistical methods. This synergy not only improves computational efficiency but also addresses issues of uncertainty and noise in simulations, aligning with ongoing efforts to refine probabilistic modeling and inference techniques across disciplines.
— via World Pulse Now AI Editorial System

Was this article worth reading? Share it

Recommended apps based on your readingExplore all apps
Continue Readings
Gradient-Informed Monte Carlo Fine-Tuning of Diffusion Models for Low-Thrust Trajectory Design
PositiveArtificial Intelligence
A new study has introduced a gradient-informed Monte Carlo fine-tuning method for low-thrust spacecraft trajectory design, utilizing Markov chain Monte Carlo techniques to navigate complex objective landscapes in the Circular Restricted Three-Body Problem. This approach enhances the efficiency of finding optimal trajectories by leveraging generative machine learning and diffusion models.
Uncertainty Quantification for Scientific Machine Learning using Sparse Variational Gaussian Process Kolmogorov-Arnold Networks (SVGP KAN)
PositiveArtificial Intelligence
A new framework has been developed that integrates sparse variational Gaussian process inference with Kolmogorov-Arnold Networks (KANs), enhancing their capability for uncertainty quantification in scientific machine learning applications. This approach allows for scalable Bayesian inference with reduced computational complexity, addressing a significant limitation of traditional methods.
Unsupervised Learning of Density Estimates with Topological Optimization
NeutralArtificial Intelligence
A new paper has been published on arXiv detailing an unsupervised learning approach for density estimation using a topology-based loss function. This method aims to automate the selection of the optimal kernel bandwidth, a critical hyperparameter that influences the bias-variance trade-off in density estimation, particularly in high-dimensional data where visualization is challenging.
Fast training and sampling of Restricted Boltzmann Machines
PositiveArtificial Intelligence
A study has introduced a novel approach to training Restricted Boltzmann Machines (RBMs), addressing the slow mixing issues associated with Markov Chain Monte Carlo (MCMC) methods. By encoding data patterns into singular vectors of the coupling matrix, the research significantly reduces the computational cost of generating new samples and evaluating model quality, particularly in highly clustered datasets.