Bayesian Kolmogorov Arnold Networks (Bayesian_KANs): A Probabilistic Approach to Enhance Accuracy and Interpretability

TL;DR

This paper introduces Bayesian Kolmogorov Arnold Networks (BKANs), a novel probabilistic framework that enhances deep learning models with improved accuracy, interpretability, and uncertainty estimation for medical diagnostics.

Contribution

The study presents BKANs, combining Kolmogorov Arnold Networks with Bayesian inference, to produce explainable, uncertainty-aware predictions that outperform traditional models on medical datasets.

Findings

BKANs improve prediction accuracy over traditional deep learning models.

The method effectively estimates both aleatoric and epistemic uncertainty.

Experimental results show reduced overfitting on small, imbalanced datasets.

Abstract

Because of its strong predictive skills, deep learning has emerged as an essential tool in many industries, including healthcare. Traditional deep learning models, on the other hand, frequently lack interpretability and omit to take prediction uncertainty into account two crucial components of clinical decision making. In order to produce explainable and uncertainty aware predictions, this study presents a novel framework called Bayesian Kolmogorov Arnold Networks (BKANs), which combines the expressive capacity of Kolmogorov Arnold Networks with Bayesian inference. We employ BKANs on two medical datasets, which are widely used benchmarks for assessing machine learning models in medical diagnostics: the Pima Indians Diabetes dataset and the Cleveland Heart Disease dataset. Our method provides useful insights into prediction confidence and decision boundaries and outperforms traditional deep learning models in terms of prediction accuracy. Moreover, BKANs' capacity to represent aleatoric and epistemic uncertainty guarantees doctors receive more solid and trustworthy decision support. Our Bayesian strategy improves the interpretability of the model and considerably minimises overfitting, which is important for tiny and imbalanced medical datasets, according to experimental results. We present possible expansions to further use BKANs in more complicated multimodal datasets and address the significance of these discoveries for future research in building reliable AI systems for healthcare. This work paves the way for a new paradigm in deep learning model deployment in vital sectors where transparency and reliability are crucial.