The local rules of Wolfram cellular automata with one-dimensional three-cell neighborhoods are represented by eight-bit binary that encode deterministic update rules. These automata are widely utilized to investigate self-organization phenomena and the dynamics of complex systems. In this work, we employ numerical simulations and computational methods to investigate the asymptotic density and dynamical evolution mechanisms in Wolfram automata. We apply both supervised and unsupervised learning methods to identify the configurations associated with different Wolfram rules. Furthermore, we explore alternative initial conditions under which certain Wolfram rules generate similar fractal patterns over time, even when starting from a single active site. Our results reveal the relationship between the asymptotic density and the initial density of selected rules. The supervised learning methods effectively identify the configurations of various Wolfram rules, while unsupervised methods like principal component analysis and autoencoders can approximately cluster configurations of different Wolfram rules into distinct groups, yielding results that align well with simulated density outputs.

Home-based single-lead AI-ECG devices have enabled continuous, real-world cardiac monitoring. However, the accuracy of parameter calculations from single-lead AI-ECG algorithm remains to be fully validated, which is critical for conditions such as Long QT Syndrome (LQTS) and First-Degree Atrioventricular Block (AVBI). In this multicenter study, we assessed FeatureDB, an ECG measurements computation algorithm, in the context of single-lead monitoring using three annotated datasets: PTB-XL+ (n=21,354), CSE (n=105), and HeartVoice-ECG-lite (n=369). FeatureDB showed strong correlation with standard ECG machines (12SL and Uni-G) in key measurements (PR, QRS, QT, QTc), and high agreement confirmed by Bland-Altman analysis. In detecting LQTS (AUC=0.786) and AVBI (AUC=0.684), FeatureDB demonstrated diagnostic performance comparable to commercial ECG systems (12SL: 0.859/0.716; Uni-G: 0.817/0.605), significantly outperforming ECGDeli (0.501/0.569). Notably, FeatureDB can operate locally on resource-limited devices, facilitating use in low-connectivity settings. These findings confirm the clinical reliability of FeatureDB for single-lead ECG diagnostics and highlight its potential to bridge traditional ECG diagnostics with wearable technology for scalable cardiovascular monitoring and early intervention.