Description: A Bayesian neural network is a type of neural network that incorporates Bayesian inference to estimate uncertainty in its predictions. Unlike traditional neural networks, which provide a single deterministic output, Bayesian neural networks generate probability distributions over outputs, allowing them to capture the inherent uncertainty in data and models. This feature is particularly valuable in applications where decision-making must consider variability and uncertainty. Bayesian neural networks use a probabilistic approach to learning, treating model parameters as random variables. This is achieved by applying Bayes’ theorem, which allows for updating beliefs about parameters as new information becomes available. As a result, these networks are more robust against overfitting and can generalize better in situations where data is scarce or noisy. Additionally, the ability to estimate uncertainty can be crucial in various fields, such as medicine, robotics, and financial forecasting, where model-based decisions need to be informed and cautious.