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Rethinking Post-Training Recipes for Multimodal Time-Series Forecasting
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Proposes PostTime, a post-training recipe (CoT-SFT with forecast-time traces and fallback, then GRPO with an improvement-ratio reward) that trains Gemma-3-4B to revise TimesFM-2.5 forecasts using textual context on the TimesX benchmark.
Problem
Multimodal time-series forecasting needs to combine strong numerical TSFM priors with non-numerical textual context, but LLMs underperform as standalone numerical forecasters and existing post-training recipes borrowed from math/code are poorly suited.
Approach
Treat the LLM as a context-guided reviser of a TSFM base forecast rather than a direct forecaster; post-train with SFT on multiple forecast-time reasoning traces (top-3 effective plus fallback for non-revisable cases) and RL using an improvement-ratio reward relative to the base forecast instead of absolute accuracy.</dd>
Key results
- PostTime SFT+RL (Gemma-3-4B + TimesFM-2.5) reaches ID nMAE 0.738 / nMSE 0.638 vs TimesFM-2.5 0.788 / 0.729, i.e. 6.38% and 12.43% improvements.
- On OOD, PostTime SFT+RL reaches nMAE 0.746 / nMSE 0.597 vs TimesFM-2.5 0.777 / 0.673 (3.93% and 11.24% gains).
- ImpRatio reward raises mean within-group reward STD to 0.0719 from 0.0171 for ExpMAE and cuts near-zero-variance groups from 27.97% to 4.66%.
Surprising findings
- Fitting ground-truth observed horizons as SFT targets performs worse than the TimesFM-2.5 prior, so ground truth is better used as a verifier than an imitation target.
- Keeping hard and non-revisable (0/5) cases with fallback supervision improves tail nMSE (p99) over filtering to easy samples, which hurt the tail.
Limitations
- Evaluated only on univariate forecasting with text context on one benchmark (TimesX); no image or other modalities.
- Revision restricted to textual forecast edits; no tool use, code execution, or web retrieval explored.
- Relies on a frontier LLM (Gemini) for trace generation, and the trace generator choice affects results (G3.1 stronger on ID, G3 on OOD).
Experimental setup
Datasets: TimesX (refreshed)
Benchmarks: TimesX (refreshed) ID split (88 variables) TimesX OOD split (11 variables)
Metrics: nMAE nMSE average rank valid-window rate fallback rate
Baselines: TimesFM-2.5 Moirai-2.0 Sundial TTS TimeOmni-1-7B Aurora ChatTS-8B GPT-5 Gemini-3.1-Pro Qwen-3-VL-32B GPT-OSS-120B
Builds on: TimesFM-2.5 GRPO TimesX Time-R1 Time-Omni
Closest papers by meaning
- Context is Key: A Benchmark for Forecasting with Essential Textual Information (ICML 2025 · similarity 0.89)
- Time-LLM: Time Series Forecasting by Reprogramming Large Language Models (ICLR 2024 · similarity 0.89)
- LangTime: A Language-Guided Unified Model for Time Series Forecasting with Proximal Policy Optimization (ICML 2025 · similarity 0.89)
- TimeXL: Explainable Multi-modal Time Series Prediction with LLM-in-the-Loop (NeurIPS 2025 · similarity 0.89)
- Time-VLM: Exploring Multimodal Vision-Language Models for Augmented Time Series Forecasting (ICML 2025 · similarity 0.89)
- Empowering Time Series Analysis with Large-Scale Multimodal Pretraining (NeurIPS 2026 · similarity 0.89)
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