<p>While large language models (LLMs) have demonstrated remarkable potential in time series forecasting, their practical deployment remains constrained by excessive computational demands and memory footprints. Existing LLM-based methods typically suffer from three critical limitations: (1) inefficient parameter utilization in handling numerical time series patterns; (2) modality misalignment between continuous temporal signals and discrete text embeddings; and (3) inflexibility for real-time expert knowledge integration. We present small but mighty enhancing time series (SMETimes), the first systematic investigation of small language models with sub-3B parameters (SLM) for efficient and accurate time series forecasting. Our method centers on three key innovations: (1) a statistically enhanced prompt structure that bridges numerical time series with textual semantics through descriptive statistical features; (2) an adaptive fusion embedding structure that aligns temporal patterns with language model token spaces through learnable parameters; and (3) a dynamic mixture-of-experts structure enabled by SLMs’ computational efficiency, adaptively combining base predictions with domain-specific models. Extensive evaluations across seven benchmark datasets (ETTh1/2, ETTm1/2, Weather, Solar, ECL) demonstrate that our 3B-parameter SLM achieves state-of-the-art performance on five primary datasets while maintaining 3.8<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11227_2025_7491_Article_IEq1.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\times\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>×</mo> </math></EquationSource> </InlineEquation> faster training and 5.2<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11227_2025_7491_Article_IEq1.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\times\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>×</mo> </math></EquationSource> </InlineEquation> lower memory consumption compared to 7B-parameter LLM baselines. In particular, the proposed model exhibits better learning capabilities, achieving 12.3% lower MSE than conventional LLM. Ablation studies validate that our statistically enhanced prompt structure and adaptive fusion embedding structure contribute, respectively, to the reduction of 15.7% and 18.2% errors in long-horizon forecasting tasks. By redefining the efficiency-accuracy trade-off landscape, this work establishes SLMs as viable alternatives to resource-intensive LLMs for practical time series forecasting. The code and models are available at <a href="https://github.com/xiyan1234567/SMETimes">https://github.com/xiyan1234567/SMETimes</a>.</p>

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Small but mighty: enhancing time series forecasting with lightweight LLMs

  • Haoran Fan,
  • Bin Li,
  • Yixuan Weng,
  • Shoujun Zhou

摘要

While large language models (LLMs) have demonstrated remarkable potential in time series forecasting, their practical deployment remains constrained by excessive computational demands and memory footprints. Existing LLM-based methods typically suffer from three critical limitations: (1) inefficient parameter utilization in handling numerical time series patterns; (2) modality misalignment between continuous temporal signals and discrete text embeddings; and (3) inflexibility for real-time expert knowledge integration. We present small but mighty enhancing time series (SMETimes), the first systematic investigation of small language models with sub-3B parameters (SLM) for efficient and accurate time series forecasting. Our method centers on three key innovations: (1) a statistically enhanced prompt structure that bridges numerical time series with textual semantics through descriptive statistical features; (2) an adaptive fusion embedding structure that aligns temporal patterns with language model token spaces through learnable parameters; and (3) a dynamic mixture-of-experts structure enabled by SLMs’ computational efficiency, adaptively combining base predictions with domain-specific models. Extensive evaluations across seven benchmark datasets (ETTh1/2, ETTm1/2, Weather, Solar, ECL) demonstrate that our 3B-parameter SLM achieves state-of-the-art performance on five primary datasets while maintaining 3.8 \(\times\) × faster training and 5.2 \(\times\) × lower memory consumption compared to 7B-parameter LLM baselines. In particular, the proposed model exhibits better learning capabilities, achieving 12.3% lower MSE than conventional LLM. Ablation studies validate that our statistically enhanced prompt structure and adaptive fusion embedding structure contribute, respectively, to the reduction of 15.7% and 18.2% errors in long-horizon forecasting tasks. By redefining the efficiency-accuracy trade-off landscape, this work establishes SLMs as viable alternatives to resource-intensive LLMs for practical time series forecasting. The code and models are available at https://github.com/xiyan1234567/SMETimes.