Coupling Between Sustainable Development of Cross-Border E-Commerce and E-Commerce Law Under the Belt and Road Initiative

Driven by technological advancements and economic integration, digital trade is reshaping transaction and production paradigms. Amidst the decline in conventional foreign trade, cross-border e-commerce (CBE) is a vital force in China's trade landscape. This paper presents a legal risk analysis model using deep learning to examine key factors affecting the sustainability of CBE within the Belt and Road Initiative framework. Through simulation experiments and grey correlation analysis, it explores the coupling and evolution of legal supervision mechanisms with e-commerce activities. Findings reveal that enhanced regulatory oversight, policy optimization, and information disclosure significantly improve legal supervision. The study shows a stable upward trend in the coupling of legal oversight with CBE, offering theoretical insights to mitigate legal risks and foster sustainable development in cross-border trade under the Belt and Road Initiative.