arXiv Machine Learning

Robust Residual Correction via Selective Deployment for Time Series Forecasting

arXiv AI
Oct 19

Look Back, Correct Forward: Error Feedback Calibration for Time Series Forecasting

The paper introduces Error Feedback Calibration (EFC), a test‑time framework that corrects deterministic time‑series forecasts by using revealed errors as causal feedback. EFC builds a Causal Error Diagonal (CED) from overlapping historical forecast errors, applies Cumulative Error Transport (CET) to map this error state to future residuals, and employs Temporal Residual Learning (TRL) to predict remaining residual structure. Experiments across various forecasting backbones and datasets demonstrate that EFC improves performance while limiting over‑correction.

By Haonan Yang, Yulin He, Zhuo Li
arXiv AI
Sep 4

RATL: Learning from Retrieved Residuals for Robust Multivariate Time-Series Forecasting

RATL is a plug‑in method for multivariate time‑series forecasting that uses a frozen base forecaster to build a memory of its historical forecast residuals. During inference, RATL retrieves residual trajectories from similar past contexts and employs a set‑aware router to combine them, providing learned feedback correction. Experiments demonstrate that this residual‑retrieval approach improves the performance of the base forecaster across various benchmarks and backbones.

By Yuchen He, Yueyang Cang, Zhiyuan Ning, Ningyu Wang, Li Shi
arXiv AI
Aug 12

Retrieval-Corrected Conformal Prediction for Time Series

arXiv:2608. 10553v1 Announce Type: cross Abstract: Conformal prediction (CP) provides distribution-free prediction intervals for fixed forecasters, but its standard calibration procedure is often inefficient for time series data, where forecast errors are temporally dependent and change across time and operating conditions.

By Sangjin Jin, Kangmin Kim, Junhyeong Lee, Yongjae Lee
arXiv Machine Learning
Sep 25

Downside-Controlled Online Forecast Combination under Delayed and Revised Outcomes

The paper proposes a method for controlling downside risk when adjusting forecasts from frozen models, such as foundation models, by combining a static corrector and an online corrector on the simplex. Using only post‑horizon losses, the approach achieves minimal deterioration (0.15%) and up to 11.5% gains across 28 forecast pairs, and consistently reduces mean MSE in day‑ahead load forecasts for seven European bidding zones. The method’s applicability is bounded by three empirical conditions related to expert speed, stream length, and outcome alignment.

By Minkyoung Kim, Hyunjung Byun, Yohan Lee, Beakcheol Jang
arXiv Machine Learning
Oct 9

SACQ: Structured Decoding with Memory-Conditioned Refinement for Long-Horizon Forecasting

SACQ introduces a structured prediction head for long‑horizon time‑series forecasting that replaces the traditional flatten readout. It uses a two‑stage decoding process: a coarse patch‑grid scaffold is first generated, then each future position is refined via cross‑attention over historical memory, with a learned gate merging the corrections. A batch‑adaptive scaled log‑cosh loss further stabilizes training under long horizons and noisy labels, leading to superior MSE/MAE performance across multiple backbones with minimal overhead.

By Guo Cheng, Zhengzhuo Xu, Chenchen Jing, Jingyi Hou
arXiv Machine Learning
Oct 9

CARE: A Lightweight Plug-in Gated Correction and Uncertainty-aware Module for Long-term Time Series Forecasting

CARE is a lightweight plug‑in module that can be added to any deterministic time‑series forecaster. It resamples historical data to align with the forecast horizon, learns residual corrections, and applies scale‑aware bounded updates controlled by per‑coordinate sigmoid risk gates. The module is trained with a multi‑objective loss to improve accuracy, track residuals, align risk, and anchor the base model, and it demonstrates accuracy gains on eight benchmarks with minimal extra parameters or latency.

By Guo Cheng, Changlong Lv, Jingyi Hou
arXiv Machine Learning
Sep 29

EPOC: Endpoint-Preserving Online Correction With Compressed Residual State for Multi-Horizon Time Series Forecasting

EPOC (Endpoint‑Preserving Online Correction) is a method for multi‑horizon time‑series forecasting that compresses residual information using low‑order discrete cosine transform (DCT) coefficients and the final residual value. It applies channel‑wise online ridge regressions to blend a DCT‑based correction with a base forecast, achieving significant reductions in mean squared error (15.40%) and mean absolute error (9.35%) across 96 fixed‑base conditions while keeping auxiliary state small (median 6,352 B). The approach outperforms several existing adapters and offers a lightweight, endpoint‑focused correction strategy.

By Takumi Fujimoto, Hiroaki Nishi