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arxiv: 2310.10688 · v4 · submitted 2023-10-14 · 💻 cs.CL · cs.AI· cs.LG

Recognition: 3 theorem links

· Lean Theorem

A decoder-only foundation model for time-series forecasting

Authors on Pith no claims yet

Pith reviewed 2026-05-16 18:02 UTC · model grok-4.3

classification 💻 cs.CL cs.AIcs.LG
keywords time-series forecastingfoundation modeldecoder-onlyzero-shotpretrainingattention modelpatched decoder
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The pith

A pretrained decoder-only model achieves zero-shot time-series forecasting accuracy close to supervised state-of-the-art on public datasets.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper designs a foundation model for time-series forecasting inspired by large language models. It pretrains a patched-decoder attention model on a large time-series corpus. This produces a model that can be applied directly to new datasets for forecasting without fine-tuning or adaptation. Zero-shot results approach the accuracy of the best supervised models trained specifically on each dataset. The same model works across different input history lengths, prediction horizons, and data collection frequencies.

Core claim

Motivated by recent advances in large language models for Natural Language Processing (NLP), we design a time-series foundation model for forecasting whose out-of-the-box zero-shot performance on a variety of public datasets comes close to the accuracy of state-of-the-art supervised forecasting models for each individual dataset. Our model is based on pretraining a patched-decoder style attention model on a large time-series corpus, and can work well across different forecasting history lengths, prediction lengths and temporal granularities.

What carries the argument

Patched-decoder style attention model pretrained on a large time-series corpus, which produces representations usable for forecasting on new data without further training.

Load-bearing premise

Pretraining on the chosen large time-series corpus produces representations that generalize to unseen datasets and varying temporal granularities without any fine-tuning or dataset-specific adaptation.

What would settle it

Running the pretrained model zero-shot on a fresh public time-series dataset and finding that its forecast error exceeds the error of the best supervised model trained from scratch on that same dataset by a large margin.

read the original abstract

Motivated by recent advances in large language models for Natural Language Processing (NLP), we design a time-series foundation model for forecasting whose out-of-the-box zero-shot performance on a variety of public datasets comes close to the accuracy of state-of-the-art supervised forecasting models for each individual dataset. Our model is based on pretraining a patched-decoder style attention model on a large time-series corpus, and can work well across different forecasting history lengths, prediction lengths and temporal granularities.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The paper introduces a decoder-only patched attention model pretrained on a large time-series corpus as a foundation model for forecasting. It claims that the resulting model achieves out-of-the-box zero-shot performance on public datasets that approaches the accuracy of dataset-specific supervised state-of-the-art models, while handling varying history lengths, prediction horizons, and temporal granularities without fine-tuning.

Significance. If the zero-shot generalization claim is substantiated with rigorous, reproducible metrics, the work would mark a meaningful step toward foundation models in time series analogous to those in NLP, potentially reducing the need for per-dataset retraining and enabling broader transfer across domains and granularities.

major comments (2)
  1. [Abstract] Abstract: the central claim that zero-shot performance 'comes close to' supervised SOTA is asserted without any quantitative metrics, error bars, dataset names, or training details, so the claim cannot be evaluated from the provided text.
  2. [Introduction / Model description] The generalization assumption (pretraining corpus yields representations that transfer to unseen datasets and granularities in true zero-shot fashion) is load-bearing for the headline result yet lacks explicit hold-out verification or corpus composition statistics that would rule out distributional overlap with evaluation sets.
minor comments (1)
  1. [Model architecture] Notation for patching size, history length, and prediction length should be defined once with consistent symbols across sections.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the detailed and constructive review. The comments identify important areas for strengthening the presentation of our zero-shot results and the supporting evidence for generalization. We address each major comment below and will incorporate revisions into the next version of the manuscript.

read point-by-point responses
  1. Referee: [Abstract] Abstract: the central claim that zero-shot performance 'comes close to' supervised SOTA is asserted without any quantitative metrics, error bars, dataset names, or training details, so the claim cannot be evaluated from the provided text.

    Authors: We agree that the abstract would be more informative with concrete supporting numbers. In the revised manuscript we will expand the abstract to report average normalized error metrics (e.g., mean normalized MAE or CRPS) across the primary evaluation suites, list the main public datasets used (ETTh1/ETTm1, Electricity, Traffic, M4, etc.), and briefly note the scale of pretraining data and model size. Error bars or standard deviations will be referenced to the main results tables. These additions will allow the central claim to be evaluated directly from the abstract while remaining within length constraints. revision: yes

  2. Referee: [Introduction / Model description] The generalization assumption (pretraining corpus yields representations that transfer to unseen datasets and granularities in true zero-shot fashion) is load-bearing for the headline result yet lacks explicit hold-out verification or corpus composition statistics that would rule out distributional overlap with evaluation sets.

    Authors: We acknowledge that explicit documentation of the pretraining corpus and verification of no overlap with evaluation sets strengthens the zero-shot claim. We will add a dedicated subsection (or appendix table) detailing the composition of the pretraining corpus: total number of time series, aggregate length, source domains, and temporal granularities. We will also state the hold-out procedure used, confirming that the standard benchmark datasets employed in the zero-shot evaluation (e.g., those from the Monash repository and the ETT/Electricity/Traffic suites) were excluded from pretraining. Any residual risk of distributional overlap will be discussed transparently. revision: yes

Circularity Check

0 steps flagged

No significant circularity; empirical pretraining and zero-shot evaluation are self-contained

full rationale

The paper presents an empirical foundation-model approach: pretrain a patched decoder-only attention model on a large time-series corpus, then report zero-shot forecasting accuracy on held-out public datasets. No load-bearing derivation chain exists that reduces a claimed prediction to a fitted parameter by construction, nor does any uniqueness theorem or ansatz get smuggled in via self-citation. Performance claims rest on external experimental benchmarks rather than internal redefinitions or statistical forcing. The architecture and training procedure are described independently of the target evaluation metrics.

Axiom & Free-Parameter Ledger

2 free parameters · 1 axioms · 0 invented entities

The performance claim depends on the unstated composition and size of the pretraining corpus plus the specific patching and decoder hyperparameters chosen to achieve generalization.

free parameters (2)
  • pretraining corpus composition and size
    The large time-series corpus is invoked as the source of generalization but its exact contents and selection criteria are not specified in the abstract.
  • patching size and model scale
    Patch length, number of layers, and hidden dimension are architectural choices that directly affect the reported zero-shot results.
axioms (1)
  • domain assumption Transformer self-attention can capture temporal dependencies in patched time series sufficiently for cross-dataset transfer.
    The decoder-only architecture is assumed to transfer from language to numerical sequences without additional inductive biases.

pith-pipeline@v0.9.0 · 5372 in / 1271 out tokens · 61462 ms · 2026-05-16T18:02:54.453677+00:00 · methodology

discussion (0)

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Reference graph

Works this paper leans on

23 extracted references · 23 canonical work pages · cited by 17 Pith papers · 7 internal anchors

  1. [1]

    On the benefits of maximum likelihood estimation for regression and forecasting

    [ADSS21] Pranjal Awasthi, Abhimanyu Das, Rajat Sen, and Ananda Theertha Suresh. On the benefits of maximum likelihood estimation for regression and forecasting. arXiv preprint arXiv:2106.10370,

  2. [2]

    Conditional Time Series Forecasting with Convolutional Neural Networks

    9 A decoder-only foundation model for time-series forecasting A PREPRINT [BBO17] Anastasia Borovykh, Sander Bohte, and Cornelis W Oosterlee. Conditional time series forecasting with convolutional neural networks. arXiv preprint arXiv:1703.04691,

  3. [3]

    Tsmixer: An all-mlp architecture for time series forecasting

    [CLY+23] Si-An Chen, Chun-Liang Li, Nate Yoder, Sercan O Arik, and Tomas Pfister. Tsmixer: An all-mlp architecture for time series forecasting. arXiv preprint arXiv:2303.06053,

  4. [4]

    Olivares, Boris N

    [COO+23] Cristian Challu, Kin G. Olivares, Boris N. Oreshkin, Federico Garza, Max Mergenthaler, and Artur Dubrawski. NHITS: Neural Hierarchical Interpolation for Time Series forecasting. In The Association for the Advancement of Artificial Intelligence Conference 2023 (AAAI 2023),

  5. [5]

    Llm4ts: Two-stage fine-tuning for time-series forecasting with pre-trained llms

    [CPC23] Ching Chang, Wen-Chih Peng, and Tien-Fu Chen. Llm4ts: Two-stage fine-tuning for time-series forecasting with pre-trained llms. arXiv preprint arXiv:2308.08469,

  6. [6]

    Monash time series forecasting archive

    [GBW+21] Rakshitha Godahewa, Christoph Bergmeir, Geoffrey I Webb, Rob J Hyndman, and Pablo Montero-Manso. Monash time series forecasting archive. arXiv preprint arXiv:2105.06643,

  7. [7]

    Mamba: Linear-Time Sequence Modeling with Selective State Spaces

    [GD23] Albert Gu and Tri Dao. Mamba: Linear-time sequence modeling with selective state spaces. arXiv preprint arXiv:2312.00752,

  8. [8]

    Large language models are zero-shot time series forecasters

    [GFQW23] Nate Gruver, Marc Finzi, Shikai Qiu, and Andrew Gordon Wilson. Large language models are zero-shot time series forecasters. arXiv preprint arXiv:2310.07820,

  9. [9]

    Timegpt-1

    [GMC23] Azul Garza and Max Mergenthaler-Canseco. Timegpt-1. arXiv preprint arXiv:2310.03589,

  10. [10]

    Training Compute-Optimal Large Language Models

    [HBM+22] Jordan Hoffmann, Sebastian Borgeaud, Arthur Mensch, Elena Buchatskaya, Trevor Cai, Eliza Rutherford, Diego de Las Casas, Lisa Anne Hendricks, Johannes Welbl, Aidan Clark, et al. Training compute-optimal large language models. arXiv preprint arXiv:2203.15556,

  11. [11]

    Traffic4cast at neurips 2020 - yet more on the unreasonable effectiveness of gridded geo-spatial processes

    [KKN+21] Michael Kopp, David Kreil, Moritz Neun, David Jonietz, Henry Martin, Pedro Herruzo, Aleksandra Gruca, Ali Soleymani, Fanyou Wu, Yang Liu, Jingwei Xu, Jianjin Zhang, Jay Santokhi, Alabi Bojesomo, Hasan Al Marzouqi, Panos Liatsis, Pak Hay Kwok, Qi Qi, and Sepp Hochreiter. Traffic4cast at neurips 2020 - yet more on the unreasonable effectiveness of ...

  12. [12]

    Scaling Laws for Neural Language Models

    [KMH+20] Jared Kaplan, Sam McCandlish, Tom Henighan, Tom B Brown, Benjamin Chess, Rewon Child, Scott Gray, Alec Radford, Jeffrey Wu, and Dario Amodei. Scaling laws for neural language models. arXiv preprint arXiv:2001.08361,

  13. [13]

    Generating Wikipedia by Summarizing Long Sequences

    [LSP+18] Peter J Liu, Mohammad Saleh, Etienne Pot, Ben Goodrich, Ryan Sepassi, Lukasz Kaiser, and Noam Shazeer. Generating wikipedia by summarizing long sequences. arXiv preprint arXiv:1801.10198,

  14. [14]

    Temporal convolutional networks: A unified approach to action segmentation

    [LVRH16] Colin Lea, Rene Vidal, Austin Reiter, and Gregory D Hager. Temporal convolutional networks: A unified approach to action segmentation. In Computer Vision–ECCV 2016 Workshops: Amsterdam, The Netherlands, October 8-10 and 15-16, 2016, Proceedings, Part III 14, pages 47–54. Springer,

  15. [15]

    A survey on time-series pre-trained models

    [MLZ+23] Qianli Ma, Zhen Liu, Zhenjing Zheng, Ziyang Huang, Siying Zhu, Zhongzhong Yu, and James T Kwok. A survey on time-series pre-trained models. arXiv preprint arXiv:2305.10716,

  16. [16]

    WaveNet: A Generative Model for Raw Audio

    [ODZ+16] Aaron van den Oord, Sander Dieleman, Heiga Zen, Karen Simonyan, Oriol Vinyals, Alex Graves, Nal Kalchbrenner, Andrew Senior, and Koray Kavukcuoglu. Wavenet: A generative model for raw audio. arXiv preprint arXiv:1609.03499,

  17. [17]

    Feature importance: A closer look at shapley values and loco

    [VW23] Isabella Verdinelli and Larry Wasserman. Feature importance: A closer look at shapley values and loco. arXiv preprint arXiv:2303.05981,

  18. [18]

    Towards efficient and comprehensive urban spatial-temporal prediction: A unified library and performance benchmark

    [WJJ+23] Jingyuan Wang, Jiawei Jiang, Wenjun Jiang, Chengkai Han, and Wayne Xin Zhao. Towards efficient and comprehensive urban spatial-temporal prediction: A unified library and performance benchmark. arXiv preprint arXiv:2304.14343,

  19. [19]

    A Multi-Horizon Quantile Recurrent Forecaster

    [WTNM17] Ruofeng Wen, Kari Torkkola, Balakrishnan Narayanaswamy, and Dhruv Madeka. A multi-horizon quantile recurrent forecaster. arXiv preprint arXiv:1711.11053,

  20. [20]

    One fits all: Power general time series analysis by pretrained lm

    [ZNW+23] Tian Zhou, Peisong Niu, Xue Wang, Liang Sun, and Rong Jin. One fits all: Power general time series analysis by pretrained lm. arXiv preprint arXiv:2302.11939,

  21. [21]

    On an average we are within significant level of the best model

    It can be seen that TimesFM performs well for all datasets with clear seasonal patterns. On an average we are within significant level of the best model. Note that there are only 8 time-series as a whole in Darts and theerfore these evaluations have very wide confidence intervals. In Figure 8 we present visual comparisons of our forecasts vs some of the b...

  22. [22]

    The hidden dims of both the residual block and the FFN in the transformer layers are set as the same as model dimensions

    Note that the settings are for the base models and not ablation models. The hidden dims of both the residual block and the FFN in the transformer layers are set as the same as model dimensions. We keep layer norm in transformer layers but not in the residual blocks. Table 6: Hyper-parameters for TimesFM num_layers model_dims output_patch_len input_patch_l...

  23. [23]

    • Seasonal patterns

    • ARMA(p, q) (II), where 1 ≤ p, q ≤ 8 and the corresponding coefficients are generated from either a multivariate Gaussian or a uniform, then normalized. • Seasonal patterns. In particular we create the sine (III) and the cosine (IV) waves of different random periods between 4 and max context length / 2 time-points and time delays. We then randomly enable...