Rockburst monitoring data acquired during underground coal mining are characterized by strong noise, nonlinearity, and multiscale coupling, which severely limit the predictive performance of existing models. To address these challenges, an innovative deep learning model was proposed. First, a hybrid denoising strategy combining Complete Ensemble Empirical Mode Decomposition with Adaptive Noise (CEEMDAN) and wavelet transform was applied to enhance the quality of microseismic data. Subsequently, a trend–residual decomposition module was constructed to decouple the complex microseismic data into a trend component, representing long-term stress accumulation, and a residual component, capturing short-term fracture-induced fluctuations. On this basis, an improved adaptive multiscale noise-resilient Long Short-Term Memory (LSTM) unit was designed. A dynamic noise-control mechanism and a multiscale memory strategy were introduced to enable targeted feature extraction from the trend and residual branches, respectively. Furthermore, a multiscale interactive fusion (MSIF) module incorporating a channel attention mechanism was employed to dynamically integrate complementary information from both branches. The proposed framework was validated using field microseismic monitoring data from a northern coal mine. Experimental results demonstrated that the proposed model consistently outperformed five benchmark models across multiple evaluation metrics, achieving a recall of 88.37% with a false alarm rate of only 3.88%. These results confirm the effectiveness and robustness of the proposed approach for rockburst microseismic time-series prediction under noisy and complex conditions.