Which Histories Matter for Time Series Forecasting? Learning Predictive Relevance with Future Supervision
cs.IR, cs.LG
Submitted: 2026-08-24
Updated: 2026-09-26
Code: https://github.com/dearyonghoon/which-histories-matter
License: http://creativecommons.org/licenses/by/4.0/
The gist: Historical retrieval for time-series prediction commonly treats past similarity as a proxy for usefulness.
Terminology
Abstract
Historical retrieval for time-series prediction commonly treats past similarity as a proxy for usefulness. We ask a different question: which historical examples should be expected to matter for a query? We define predictive relevance as expected future utility conditioned on inference-time information, using realized futures only during training as privileged supervision. A normalized-pattern retriever first forms a coarse candidate set, and a lightweight residual multilayer perceptron (MLP) learns a listwise future-compatibility target while keeping inference-time scoring strictly past-only. Our method retains similarity-based candidate generation but reranks its candidates by a more predictive relevance criterion. Optimal relevance decomposes into candidate-level utility and query-specific compatibility, motivating Candidate-Prior and Shuffled-Future controls. Across six benchmarks, the reranker improves Pattern retrieval while revealing candidate-global, query-specific, and mixed relevance regimes. On all 12 confirmatory tasks, it improves Pattern and outperforms a matched-protocol Stationarity-Aware Retrieval-Augmented Time Series Forecasting (SARAF) retrieval rule. Architecture-matched ablations show that correct future supervision, rather than the MLP or added context alone, drives gains in query-specific regimes. Alternative-similarity experiments show that a strong last-value-anchored L2 rule remains superior in some domains, whereas future-supervised relevance is particularly strong where our diagnostics indicate query-specific relevance, especially on Solar. Candidate-pool diagnostics show that this contrast is not explained solely by coarse Pattern retrieval. Overall, historical relevance is structured and domain dependent rather than governed by a universally superior retrieval rule.
Sources
- Learning to Query History: Nonstationary Classification via Learned Retrieval
- Channel-wise Retrieval for Multivariate Time Series Forecasting
- Using Time-Series Privileged Information for Provably Efficient Learning of Prediction Models
- Not All Retrievals are Useful: Cross-Attention for Input-Aware RAG in Time Series Forecasting
- Efficient Multivariate Time Series Forecasting via Calibrated Language Models with Privileged Knowledge Distillation
- Retrieval Augmented Time Series Forecasting
- KReF: Training-Free Retrieval for Long-Term Time-Series Forecasting and Predictive Uncertainty
- Stationarity-Aware Retrieval-Augmented Time Series Forecasting
- Semantics-Enhanced Retrieval-Augmented Time Series Forecasting
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