Source-linked AI summary

TS-Reasoner: Aligning Time Series Foundation Models with LLM Reasoning

Fangxu Yu, Hongyu Zhao, Tianyi Zhou

arXiv:2510.03519v3cs.CLcs.AI

TL;DR

Time-series analysis benefits from contextual knowledge, yet numerical analyses can lack deeper contextual understanding. TS-Reasoner aligns pretrained TSFM embeddings with an LLM through synthetic-caption pretraining and instruction tuning, substantially outperforming comparable-scale open-source LLMs, VLMs, and TSLLMs on time-series reasoning benchmarks.

  • Problem

    A gap between numerical time-series analysis and relevant qualitative context limits analytical models’ deeper, contextualized understanding of time-series dynamics.

    Source: §1 · p. 1
  • Method

    TS-Reasoner projects pretrained TSFM embeddings into an LLM and uses synthetic-caption alignment pretraining followed by instruction tuning for downstream reasoning tasks.

    Source: §3.2 · p. 4
  • Results

    TS-Reasoner substantially outperforms comparable-scale open-source LLMs, VLMs, and TSLLMs on time-series reasoning benchmarks; on TimeSeriesExam, it exceeds the best comparable-scale open-source LLM by 8.17 percentage points overall.

    Source: §1 · p. 3, §4.1 · p. 8, §5 · p. 12
  • Takeaways & Limitations

    TS-Reasoner advances LLMs’ ability to understand and reason about time series.

    Source: §5 · p. 12

    On tasks requiring both temporal understanding and complex multi-step reasoning, TS-Reasoner remains bounded by the reasoning capacity of its 7B backbone.

    Source: §4.1 · p. 8

Abstract

from arXiv · show

Time series reasoning is crucial to decision-making in diverse domains, including finance, energy, and scientific discovery. While existing time series foundation models (TSFMs) can capture low-level dynamic patterns and provide accurate forecasting, further analysis usually requires additional background knowledge and sophisticated reasoning, which are lacking in most TSFMs but can be achieved through Large Language Models (LLMs). On the other hand, without expensive post-training, LLMs often struggle with the numerical understanding of time series data. Although it is intuitive to integrate the two types of models, developing effective training recipes that align the two modalities for reasoning tasks is still an open challenge. To this end, we propose TS-Reasoner that aligns the latent representations of TSFMs with the textual inputs of LLMs for downstream understanding/reasoning tasks. Specifically, we propose a simple yet effective method to curate diverse, synthetic pairs of time series and textual captions for alignment training. We then develop a two-stage training recipe that applies instruction fine-tuning after the alignment pretraining. Unlike existing works that train an LLM to take time series as inputs, we leverage a pretrained TSFM and freeze it during training. Experiments on several benchmarks demonstrate that TS-Reasoner not only outperforms a wide range of open-source LLMs, Vision-Language Models (VLMs), and Time Series LLMs of comparable scale, but also does so with remarkable data efficiency, e.g., using less than half the training data.

1 Introduction

TS-Reasoner aligns a TSFM’s temporal representations with an LLM’s language and reasoning capabilities to support contextual time-series understanding. Its two-stage training uses synthetic captions for alignment before fine-tuning, and it outperforms comparable-scale open-source models on reported benchmarks.

  • TSFMs capture temporal patterns but generally lack textual understanding, while LLMs reason over text yet struggle with temporal dependencies and numerical values (Goswami et al., 2024; Das et al., 2024; Fons et al., 2024; Merrill et al., 2024).The paper frames their complementary strengths as motivation for combining numerical time-series representations with contextual information.Source: §1 · pp. 1–2, Figure 1 · p. 2
  • TS-Reasoner extracts temporal representations with a TSFM and uses a TS-to-Text adapter to project them into the LLM’s input embedding space.This is intended to integrate the TSFM’s temporal understanding with the LLM’s linguistic and reasoning capabilities.Source: §1 · p. 2
  • Training first aligns the models by generating textual captions of time series, using an LLM/VLM prompting strategy to curate diverse, high-quality caption data, and then fine-tunes for reasoning.The introduction presents caption curation as a response to a training-data bottleneck.Source: §1 · p. 2
  • The paper’s stated contributions are a formulation connecting TSFMs and LLMs for contextual time-series reasoning, a captioning method to diversify alignment data, and empirical analysis of existing approaches.The evaluation covers understanding and reasoning on TimeSeriesExam (Cai et al., 2024a) and MTBench (Chen et al., 2025).Source: §1 · pp. 2–3
  • TS-Reasoner significantly outperforms open-source LLMs, VLMs, and TSLLMs on TimeSeriesExam and MTBench, with analyses supporting advantages in generalization, scalability, and training-data efficiency.The introduction reports these comparisons but provides no numerical results.Source: Figure 2 · p. 2, §1 · pp. 2–3

2 Related Work

Related work situates TS-Reasoner among LLM-based time-series analysis, modality alignment, and time-series foundation models, positioning pretrained temporal features as a way to ground LLM reasoning.

LLMs for Time Series

  • LLM approaches prompt forecasting, textualize or align time series, or use vision-based models, but reported reasoning difficulties motivate context-enabled methods and TS-Reasoner’s pretrained-TSFM grounding (Merrill et al., 2024; Chow et al., 2024; Zhang et al., 2025a; Xie et al., 2024).Prior work also uses statistical models and neural networks for forecasting, while some LLMs show non-trivial forecasting performance despite struggling with time-series reasoning.Source: §2 · p. 3

Modality Alignment

  • Existing time-series/LLM alignment work enables understanding but targets narrow domains and tasks and trains encoders from scratch, whereas this work adapts VLM alignment using pretrained TSFMs (Xie et al., 2024; Zhang et al., 2025a).It identifies integrating time-series characteristics into LLMs and the shortage of time-series-text pairs as challenges.Source: §2 · p. 3

Time Series Foundation Models

3 TS-Reasoner for Temporal Reasoning

TS-Reasoner connects pretrained time-series and language models through an adapter, then uses alignment pretraining and instruction tuning to support time-series reasoning. It frames outputs as an intermediate reasoning path followed by a final answer.

3.1 Problem Formulation

  • Given natural-language context and corresponding time series, the model generates an output composed of an intermediate reasoning path and a final answer.The answer is conditioned on the reasoning path, which explains the derivation from the multimodal context.Source: §3.1 · pp. 3–4

3.2 Overview

  • TS-Reasoner combines a pretrained TSFM, a pretrained LLM, and a trainable TS-to-Text adapter in a two-stage alignment-pretraining and instruction-tuning pipeline.The TSFM encodes time series, and the adapter projects its features into the LLM’s input space.Source: Figure 3 · p. 4, §3.2 · p. 4

3.3 Model Architecture

  • Value-preserving normalization retains each series’ mean and scale as text; TSFM-encoded non-overlapping patches pass through an MLP adapter and are interleaved at placeholders in the LLM context.The fused input accommodates multiple time series and enables the LLM to model inter-series and text-series dependencies.Source: §3.3 · p. 5

3.4 Training Recipe

  • Captions are generated from time-series plots using attribute-enriched prompts and paraphrases, with 10K series each sampled from synthetic Chronos (Ansari et al., 2024) and context-attributed data (Merrill et al., 2024).The attribute categories include trend, frequency, periodicity, noise, and local variation.Source: §3.4 · p. 6
  • Instruction tuning on Xie et al. (2024) Q&A and instruction-following data develops complex-instruction adherence, structured responses, and context-driven time-series reasoning, while the TSFM remains frozen throughout training.The LLM remains trainable in both stages, preserving the TSFM’s pretrained temporal knowledge.Source: §3.4 · pp. 5–6

4 Experiments

Experiments evaluate TS-Reasoner on TimeSeriesExam, MTBench, and open-ended inductive reasoning, comparing it with LLM, VLM, and time-series LLM baselines. The setup uses TimesFM features mapped into a fine-tuned Qwen2.5-7B-Instruct, while the TSFM stays frozen.

4.1 Main Results

  • On TimeSeriesExam overall, TS-Reasoner exceeds the best comparable-scale open-source LLM, VLM, and TSLLM by 8.17, 5.82, and 4.11 points, respectively, and leads MTBench baselines by 1.52–3.28 points.These comparisons concern comparable-scale open-source models; GPT-4.1 (vision) remains ahead on TimeSeriesExam overall accuracy, while TS-Reasoner is competitive with larger ChatTS-14B.Source: Table 2 · p. 8, §4.1 · p. 8
  • +3.33 points on Pattern Recognition and +7.28 points on Noise Understanding mark TS-Reasoner’s gains over the best comparable-scale open-source baseline; financial and weather reasoning gains are 1.52–3.28 points.The authors attribute the gains to robust alignment and better reasoning over numerical patterns, while noting that complex multi-step reasoning remains limited by the 7B backbone’s capacity.Source: §4.1 · p. 8

4.2 Analysis of Data Scaling and Efficiency

  • 60K alignment samples achieve superior overall accuracy to ChatTS-7B using less than half its data, while 10K instruction-tuning samples suffice to outperform it.The paper attributes this data efficiency to the pretrained TSFM and effective alignment, which provide a robust temporal foundation.Source: §4.2 · pp. 8–9, Figure 5 · p. 9

4.3 Choices of Captioning Model for Alignment

  • Caption quality tracks the captioning model’s capability: GPT-4.1 captions outperform InternVL3-8B captions, which outperform Qwen2.5-VL-7B-Instruct captions across both benchmarks.The authors attribute GPT-4.1’s stronger results to its advanced time-series understanding, and InternVL3-8B’s edge over Qwen2.5-VL-7B-Instruct to better time-series understanding.Source: §4.3 · p. 9, Figure 7 · p. 10

4.4 Choices of TSFM and LLM in TS-Reasoner

  • On TimeSeriesExam, replacing TimesFM reduces overall accuracy from 54.83% to 45.74% with MOMENT or 53.21% with Chronos; TS-Reasoner also leads Qwen2.5 baselines at 0.5B, 3B, and 7B.The respective Overall Accuracy pairs are 29.49% vs. 26.34%, 47.71% vs. 38.01%, and 54.83% vs. 46.66%; the TSFM’s gain is smaller at 0.5B and grows at larger LLM scales.Source: Figure 6 · p. 9, Table 3 · p. 10, §4.4 · p. 10

4.5 Comparison between Textual and Visual Time Series for Captioning

  • Visually derived captions outperform text-derived captions across most tasks, which the authors attribute to plots’ compact, holistic representation supporting higher-fidelity captions and more effective alignment.Appendix B’s qualitative case analysis also reports more accurate pattern recognition from visual time-series representations.Source: §4.5 · pp. 10–11, Figure 8 · p. 11

4.6 Caption Diversity Analysis

  • Attribute-aware captions achieve an MTLD score of 133.30 versus 42.95 for template-based captions, while Self-BLEU-4 falls from 0.82 to 0.45.The study evaluates lexical diversity on random samples of 1K captions from each dataset, interpreting the results as greater caption expressiveness and diversity.Source: Table 4 · p. 11, §4.6 · p. 11

4.7 Open-ended Time Series Reasoning

  • On open-ended inductive reasoning, TS-Reasoner-7B outperforms all listed baselines, exceeding GPT-4o and ChatTS-7B by 21.1 and 4.5 points, respectively.Evaluation uses RAGAS, with 98% agreement between the LLM evaluator and human judgments in a manual inspection of 100 sampled cases.Source: Table 5 · p. 11, §4.7 · pp. 11–12

5 Conclusion

TS-Reasoner bridges TSFMs and LLMs to improve time-series understanding and reasoning, using attribute-aware captions to strengthen alignment. It outperforms comparable-scale open-source LLMs, VLMs, and TSLLMs on time-series benchmarks and is suited to deployments where privacy, cost, or domain-specific adaptability matter.

5 Conclusion

  • TS-Reasoner substantially outperforms comparable-scale open-source LLMs, VLMs, and TSLLMs on time-series understanding and reasoning benchmarks.The conclusion reports extensive experiments but gives no specific metric values here.Source: §5 · p. 12
  • TS-Reasoner bridges TSFMs and LLMs, while attribute-aware captioning enriches alignment data to mitigate the intrinsic semantic gap.The framework targets LLM understanding and reasoning about time series.Source: §5 · p. 12
  • As a locally deployable open-source model, TS-Reasoner suits privacy-sensitive settings and can cost less computationally than large proprietary multimodal models.The conclusion notes that finance and healthcare regulations may prohibit sending time series to external cloud services; deployment choice also depends on privacy, cost, and domain-specific adaptability.Source: §5 · pp. 12–13

A TimesFM for time series embedding

The TimesFM encoder normalizes a time series, divides it into fixed-length patches, and transforms the patches into sequence features. Each patch is independently projected before positional encoding and transformer processing.

A TimesFM for time series embedding

B Qualitative Analysis of Captioning

A qualitative case study compares attribute-aware captions, basic captions from visual plots, and captions generated by an LLM from raw numerical data. It finds that attribute guidance adds semantic attributes and visual input helps reveal global temporal patterns.

Attribute-Aware Captions Provide Semantically Richer Descriptions

  • Attribute-aware captions combine temporal dynamics with the series’ overall trend, periodicity, and noise level, unlike basic captions’ superficial chronological narration.The added attributes provide a more holistic description for downstream reasoning.Source: B Qualitative Analysis of Captioning · p. 18

Visual Representation is Crucial for Capturing Global Temporal Patterns

  • Visual plots reveal global periodicity that an LLM reading raw numerical data may miss, despite detecting local oscillations or noise.The authors hypothesize that long text sequences distract the LLM, while plots compress the series into a holistic view that makes global structure salient.Source: B Qualitative Analysis of Captioning · pp. 18–19

C Comparison with Related LLM–Time-Series Architectures

The section distinguishes TS-Reasoner from related architectures by knowledge-transfer direction and time-series representation: it brings pretrained TSFM knowledge into the LLM through continuous embeddings.

  • ChronoSteer transfers LLM knowledge into a TSFM for forecasting, while TS-Reasoner transfers TSFM knowledge into an LLM to improve time-series understanding.Source: C Comparison with Related… · p. 19
  • Unlike TempoGPT’s discrete quantization tokens and Time-VLM’s image-based inputs, TS-Reasoner directly aligns continuous pretrained-TSFM embeddings with the LLM, avoiding quantization loss and visualization.Source: C Comparison with Related… · p. 19

D Additional Experimental Results · D.1 Scenarios Where TSFM is Most Beneficial

The TSFM contributes most when inputs are longer or reasoning depends primarily on time-series data; complementary textual context makes its contribution more modest.

D.1 Scenarios Where TSFM is Most Beneficial

  • Removing the TSFM consistently degrades performance, but by a smaller margin than removing instruction tuning.The paper reports this ablation comparison in Table 6.Source: §D.1 · p. 19
  • In finance, removing the TSFM costs 3.58 points at an average input length of 375 steps, versus 2.57 points at 135 steps.The drop grows with input length within the domain.Source: §D.1 · p. 20
  • In weather, removing the TSFM costs 1.79 points at an average input length of 336 steps, versus 0.93 points at 168 steps.The drop grows with input length within the domain.Source: §D.1 · p. 20
  • The TSFM increasingly benefits longer series because its patch-level representations compactly summarize long-range temporal structure that the LLM struggles to recover from raw values.The MTBench short/long split refers to the question horizon (7-day versus 14-day prediction), not input length; input lengths vary independently across subsets.Source: §D.1 · pp. 20–21
  • Removing the TSFM reduces accuracy by 3.07 points on TimeSeriesExam, versus 2.22 points on average on MTBench.TimeSeriesExam questions rely almost entirely on the series, while MTBench questions can also draw on contextual news or weather reports.Source: §D.1 · p. 21
  • The TSFM contributes more when reasoning hinges primarily on time-series data and more modestly when complementary textual context is available.TimeSeriesExam depends almost entirely on the series, while MTBench questions can also draw on contextual news or weather reports.Source: §D.1 · p. 21

E Prompts

This section records the prompts used in the study and directs readers to figures containing them.

E Prompts

  • Figures 12–15 show the captioning prompts, the TimeSeriesExam prompt, and the prompts for MTBench, respectively.Figure 12 covers captioning, Figure 13 TimeSeriesExam, and Figures 14 and 15 MTBench.Source: E Prompts · p. 22

F Data Leakage Examination

TS-Reasoner’s leakage checks found no 13-gram overlap between Stage-2 instruction data and evaluation examples, alongside source and semantic isolation measures.

Data Leakage Examination

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