arXiv Machine Learning

A Hilbert-Valued Functional Decomposition Framework for Explaining Time-Dependent Outputs

The paper introduces a Hilbert‑valued functional decomposition framework that extends feature‑based explanations to time‑dependent outputs, such as trajectories in demand forecasting. It generalizes functional decomposition to Hilbert‑valued prediction functions and incorporates kernel‑based output representations, allowing explanations at multiple temporal granularities—time‑specific, time‑resolved, and time‑aggregated. The authors validate the framework on synthetic data and real‑world applications, including intraday financial market volatility prediction and energy demand forecasting.

arXiv AI
Jun 18

From Values to Tokens: An LLM-Driven Framework for Context-aware Time Series Forecasting via Symbolic Discretization

arXiv:2508. 09191v2 Announce Type: replace-cross Abstract: Time series forecasting plays a vital role in supporting decision-making across a wide range of critical applications, including energy, healthcare, and finance.

By Xiaoyu Tao, Shilong Zhang, Mingyue Cheng, Daoyu Wang, Tingyue Pan, Bokai Pan, Changqing Zhang, Shijin Wang
arXiv Machine Learning
Aug 27

NVExplain: Explaining Time Series Forecasting with Latent Trajectory Analysis and Structure-Preserving Surrogates

NVExplain is a model‑agnostic framework that explains time‑series forecasting by attributing each forecast horizon to temporally relevant historical lags. It models forecasting as a latent trajectory, introduces semantic flow to track information evolution, and aggregates this into a lag‑horizon attribution matrix. The method also generates structure‑preserving perturbations and fits sparse local surrogates to produce human‑readable, temporally coherent explanations, and demonstrates competitive faithfulness and stability across benchmark datasets.

By Muyan Anna Li, Manikandan Ravikiran, Aditi Gautam
arXiv Machine Learning
Jun 10

Interpretable deep convolutional model for nonlinear multivariate time series in complex systems

arXiv:2501. 04339v2 Announce Type: replace-cross Abstract: We introduce the Deep Convolutional Interpreter for Time Series (DCIts), a deep-learning architecture for nonlinear multivariate time series that provides sample-specific, locally interpretable descriptions of the underlying interaction structure.

By Domjan Baric, Davor Horvatic