The weight distribution P(w|{Di}) is derived by averaging the probability distributions P(w|Di) across all subsets Di of the dataset D using Bayesian inference. Each subset's likelihood P(Di|w), combined with a prior P0(w), informs the posterior distribution of weights P(w|Di). This process mitigates the influence of outliers, improving robustness and generalization.
The main focus of the research is to improve the generalization performance of neural networks by using a Bayesian framework that averages weight distributions over all possible subsets of a dataset. This approach addresses the problem of model sensitivity to specific data subsets and outliers by modifying the loss function to suppress the influence of high-loss samples.
Traditional methods for training neural networks often result in sensitive models, particularly to the subsets of data they were trained on. This leads to different solutions and potentially poor generalization to unseen data. The proposed method utilizes heuristics like outlier suppression and robust loss functions to improve convergence and generalization, addressing the issue of model sensitivity to specific data subsets and outliers.