arXiv Machine Learning

Role-Specific Predictive Geometries for Nonstationary Multivariate Graph-Signal Forecasting

The paper introduces role‑specific predictive geometries for forecasting nonstationary multivariate graph signals. It distinguishes long‑run equilibrium restoration (Long relations) from short‑run transient propagation (Short relations), applying directed Long relations to equilibrium coordinates and directed Short relations to lagged differences. Experiments show perfect recovery of planted relations and improved performance over a G‑VARMA baseline on several real‑world benchmarks.

arXiv Machine Learning
Aug 28

Graph-Based Modeling of Financial Volatility Dynamics

The paper introduces the Finance‑Aware Graph Spatio‑Temporal Network (FA‑GSTN) for forecasting realized volatility by treating the implied volatility surface as a dynamic graph. Nodes represent grid points on the surface, with edges capturing adaptive intra‑day spatial and explicit inter‑day temporal relationships, while finance‑aware node features (e.g., option Greeks) and a multi‑scale temporal smoothing gate address high‑frequency noise. Experiments on a large equity options dataset show FA‑GSTN achieves state‑of‑the‑art predictive accuracy (R² up to 0.473) and outperforms Vision Transformer baselines even with only one year of training data, demonstrating robustness during market stress.

By Chuanzhen Wang, Alice Zhang, Wei Chen, Michael Brown
arXiv AI
Aug 18

AsyTO: Asymmetric Temporal Operator for Parameter-Efficient Multivariate Time Series Forecasting

arXiv:2608. 16098v1 Announce Type: cross Abstract: Multivariate time-series forecasting faces a structural dilemma: sharing one temporal predictor across variables is parameter-efficient but forces heterogeneous variables through an identical history-to-future map, whereas learning an independent predictor per variable restores flexibility at a cost that grows with the product of variable count, context length, and horizon.

By Xiachong Lin, Du Yin, Hao Xue, Wen Hu, Imran Razzak, Arian Prabowo, Matthew Amos, Flora D. Salim
arXiv Machine Learning
Sep 18

CoRe: Coherence and Relational Alignment for Multivariate Time Series Forecasting

CoRe is a model‑agnostic learning objective for direct multivariate time‑series forecasting that replaces pointwise errors with two output‑space constraints: a frequency coherence loss aligning predicted and target spectra, and a low‑rank relational graph loss matching pairwise differences in a PCA subspace. The objective introduces no trainable parameters and can be applied to existing forecasting backbones by changing only the loss. Experiments on standard benchmarks show that CoRe improves strong baselines, compares favorably with recent forecasting objectives, and remains effective across different backbones, datasets, and hyperparameter settings.

By Xiaoyu Lin, Huiran Duan, Yining Liu, Zhixiang Wu, Chu Lin, Lin Lu
arXiv Machine Learning
Oct 8

Temporal Predictive Multiplicity: Equally Accurate Time Series Models Yield Different Forecast Trajectories

The paper introduces temporal predictive multiplicity, a framework that examines how models with nearly identical predictive performance can produce markedly different forecast trajectories in time‑series forecasting. It demonstrates that even when models meet the same performance criteria, they can diverge significantly across the entire forecast horizon, and that limiting multiplicity at individual horizons only partially mitigates this issue. Experiments on 19 neural forecasting architectures across 11 datasets confirm that trajectory‑level disagreement is largely independent of horizon‑wise disagreement, revealing a gap in prior multiplicity studies.

By Emanuele Albini, Francesca Toni, Saumitra Mishra, Francesco Leofante
arXiv Machine Learning
Oct 28

Forecasting Ionospheric Irregularities on GNSS Lines of Sight Using Dynamic Graphs with Ephemeris Conditioning

The paper introduces IonoDGNN, a dynamic graph neural network that models the ionosphere over ionospheric pierce points, conditioning forecasts on future satellite trajectories (ephemeris conditioning). It predicts ionospheric irregularities, measured by the Rate of TEC Index, up to two hours ahead using GNSS data from Singapore, achieving a Brier Skill Score of 0.55 and a PR-AUC of 0.77—significant improvements over persistence and interpolation baselines. The model remains robust under simulated coverage dropouts, leveraging spatial message passing to maintain predictive skill on affected nodes.

By Mert Can Turkmen, Eng Leong Tan, Yee Hui Lee
arXiv Machine Learning
Jul 21

Time-Aware Prior Fitted Networks for Zero-Shot Forecasting with Exogenous Variables

arXiv:2603. 15802v2 Announce Type: replace Abstract: In many time series forecasting settings, the target time series is accompanied by exogenous covariates, such as promotions and prices in retail demand; temperature in energy load; calendar and holiday indicators for traffic or sales; and grid load or fuel costs in electricity pricing.

By Andres Potapczynski, Ravi Kiran Selvam, Tatiana Konstantinova, Malcolm Wolff, Kin G. Olivares, Ruijun Ma, Michael W. Mahoney, Andrew Gordon Wilson, Boris N. Oreshkin, Dmitry Efimov