Momentum LMS Theory beyond Stationarity: Stability, Tracking, and Regret
Researchers have developed a new theoretical framework for the Momentum Least Mean Squares (MLMS) algorithm, designed to handle nonstationary data streams common in large-scale processing. The paper derives tracking performance and regret bounds for MLMS in time-varying stochastic linear systems, addressing the complexities introduced by momentum in stability analysis. Experimental results on both synthetic and real-world data confirm MLMS's ability to adapt rapidly and track effectively in nonstationary environments, suggesting its utility for modern online learning applications. AI
IMPACT Provides theoretical grounding for adaptive algorithms crucial in real-time data processing for AI systems.