The paper introduces the Variability-Aware Recursive Neural Network (VARNN), a residual-aware architecture for supervised time-series regression that learns a nonlinear, vector-valued residual representation from recent prediction errors. VARNN conditions subsequent predictions on this learned residual-memory state, mapping scalar prediction innovations into a short-context representation. Experiments on nine datasets across energy, healthcare, and environmental domains show that VARNN achieves lower test MSE than static, lag-based, and sequence-model baselines, and ablations confirm that the learned residual memory improves predictive accuracy over direct scalar residual feedback.
By Haroon Gharwi, Yue Dai, Kai Shu
arXiv:2511. 09789v2 Announce Type: replace Abstract: Recent advances in deep forecasting models have achieved remarkable performance, yet most approaches still struggle to provide both accurate predictions and interpretable insights into temporal dynamics.
By Fulong Yao, Wanqing Zhao, Chao Zheng, Xiaofei Han
arXiv:2607. 09537v1 Announce Type: new Abstract: Time series forecasting requires models to capture diverse, often mutually exclusive, temporal dynamics, from smooth trend continuation to nonstationary drift and strict phase-aligned recurrence.
By Qitai Tan, Ruiwen Gu, Yilin Su, Mo Li, Xu Lin, Xiao-Ping Zhang
arXiv:2606. 10678v1 Announce Type: new Abstract: Transformer-based models have emerged as leading paradigms in time-series forecasting in recent years, employing self-attention mechanisms to capture long-range dependencies.
By Amrijit Biswas, Mustafa Kamal, Robin Krambroeckers, M. M. Lutfe Elahi, Sifat Momen, Nabeel Mohammed, Shafin Rahman
arXiv:2605. 05540v2 Announce Type: replace Abstract: Fast surrogate modeling for high-dimensional physical dynamics requires more than low short-term error: useful models must roll out efficiently while preserving the statistical structure of long trajectories.
By Tianyue Yang, Xiao Xue
arXiv:2607. 08234v1 Announce Type: cross Abstract: Real-world time series exhibit complex dynamics characterized by multiple simultaneous temporal patterns: short-term fluctuations, periodic seasonal cycles, long-term trends, and irregular abrupt changes.
By Sumit Satishrao Shevtekar, Chandresh Kumar Maurya