3 papers
math-ph2026
A Two-Parameter Memory-Weighted Velocity Operator for Time and State Variables: Foundations and Fundamental Properties
Jiahao Jiang
We introduce and analyze a memory-weighted velocity operator V_{α,\b{eta}} within the framework of operator theory, establishing rigorous theoretical results for systems with time…
math.PR2025
Towards a Mathematical Theory of Adaptive Memory: From Time-Varying to Responsive Fractional Brownian Motion
Jiahao Jiang
This work attempts to develop a systematic mathematical description for a class of stochastic processes whose local regularity adjusts dynamically in response to their own state. T…
cs.IR2025
SLIF-MR: Self-loop Iterative Fusion of Heterogeneous Auxiliary Information for Multimodal Recommendation
Jie Guo, Jiahao Jiang, Ziyuan Guo +2
Knowledge graphs (KGs) and multimodal item information, which respectively capture relational and attribute features, play a crucial role in improving recommender system accuracy.…