Research map / Time series / Long-term forecasting
Attention for time series forecasting
Forecast long series with spectral, multi-scale and adaptive transformers and normalization.
123 accepted papers at ICML, NeurIPS, ICLR, CVPR and AAAI (2016–2026) · an approach in Long-term forecasting, keyword cluster “graph · multivariate time · spatial”
State History Benchmarks Tried Baselines Checklist Preprints Who Export
Where it stands
Still moving The best reported result is still improving on 6 of 6 tracked benchmarks.
26 papers in 2023–24 and 85 in 2025–26 (at ICML, NeurIPS, ICLR, CVPR and AAAI); its share of the topic grew, from 25.2% to 34.8%.
Open questions the data points to
- ETTh1 (MSE): best went from 0.437 (up to 2024) to 0.389 in 2025 — Abstain Mask Retain Core: Time Series Prediction by Adaptive Masking Loss with Representation Consistency (NeurIPS 2025 · 1 citation)
- ETTh2 (MSE): best went from 0.367 (up to 2024) to 0.316 in 2025 — Abstain Mask Retain Core: Time Series Prediction by Adaptive Masking Loss with Representation Consistency (NeurIPS 2025 · 1 citation)
- ETTm2 (MSE): best went from 0.274 (up to 2024) to 0.24 in 2025 — Linear Transformers as VAR Models: Aligning Autoregressive Attention Mechanisms with Autoregressive Forecasting (ICML 2025 · 0 citations)
- Traffic (MSE): best went from 0.428 (up to 2024) to 0.391 in 2025 — Linear Transformers as VAR Models: Aligning Autoregressive Attention Mechanisms with Autoregressive Forecasting (ICML 2025 · 0 citations)
- Weather (MSE): best went from 0.241 (up to 2024) to 0.201 in 2025 — Abstain Mask Retain Core: Time Series Prediction by Adaptive Masking Loss with Representation Consistency (NeurIPS 2025 · 1 citation)
- ETTm1 (MSE): best went from 0.382 (up to 2024) to 0.339 in 2025 — Linear Transformers as VAR Models: Aligning Autoregressive Attention Mechanisms with Autoregressive Forecasting (ICML 2025 · 0 citations)
- Papers report DLinear on Exchange, 96 (MSE) anywhere from 0.052 to 0.081: comparisons against it depend on whose number you take.
- Papers report DLinear on Electricity (96) (MSE) anywhere from 0.14 to 0.195: comparisons against it depend on whose number you take.
How this is decided
A benchmark is tracked when at least four papers of this approach report their own method on the same dataset and metric in at least two different years. Its record is the best number reported up to 2024 compared with the best reported in 2025–26: still improving means at least 1% better, flat means at most 0.2% better with at least two papers from 2025–26 trying. Numbers on a different scale from the rest (a fraction among percentages) and far outliers are left out. Results come from different papers with different setups, so they are signals, not head-to-head comparisons. The share of papers is counted at ICML, NeurIPS, ICLR, CVPR and AAAI.
How it got here
Most cited paper of each year
- 2016 · Correcting Forecasts with Multifactor Neural Attention (ICML 2016 · 16 citations)
- 2019 · Enhancing the Locality and Breaking the Memory Bottleneck of Transformer on Time Series Forecasting (NeurIPS 2019 · 1,086 citations)
- 2020 · Adversarial Sparse Transformer for Time Series Forecasting (NeurIPS 2020 · 116 citations)
- 2021 · Informer: Beyond Efficient Transformer for Long Sequence Time-Series Forecasting (AAAI 2021 · 7,037 citations)
- 2022 · Non-stationary Transformers: Exploring the Stationarity in Time Series Forecasting (NeurIPS 2022 · 263 citations)
- 2023 · NHITS: Neural Hierarchical Interpolation for Time Series Forecasting (AAAI 2023 · 516 citations)
- 2024 · iTransformer: Inverted Transformers Are Effective for Time Series Forecasting (ICLR 2024 · 385 citations)
- 2025 · Adaptive Multi-Scale Decomposition Framework for Time Series Forecasting (AAAI 2025 · 58 citations)
- 2026 · EMAformer: Enhancing Transformer Through Embedding Armor for Time Series Forecasting (AAAI 2026 · 4 citations)
Earliest papers here
- Correcting Forecasts with Multifactor Neural Attention (ICML 2016 · 16 citations)
- Enhancing the Locality and Breaking the Memory Bottleneck of Transformer on Time Series Forecasting (NeurIPS 2019 · 1,086 citations)
- Think Globally, Act Locally: A Deep Neural Network Approach to High-Dimensional Time Series Forecasting (NeurIPS 2019 · 95 citations)
Benchmark records
The best number each year that beat every earlier one, among papers of this approach reporting their own method. Numbers are extracted by AI from each paper's text; check the paper before citing.
ETTh1 · MSE (lower is better)
9 papers, 2024–2025 · still improving
| Year | Best so far | Set by |
|---|---|---|
| 2024 | 0.437 | TimeXer: Empowering Transformers for Time Series Forecasting with Exogenous Variables (NeurIPS 2024 · 199 citations) |
| 2025 | 0.389 | Abstain Mask Retain Core: Time Series Prediction by Adaptive Masking Loss with Representation Consistency (NeurIPS 2025 · 1 citation) |
ETTh2 · MSE (lower is better)
7 papers, 2024–2025 · still improving
| Year | Best so far | Set by |
|---|---|---|
| 2024 | 0.367 | TimeXer: Empowering Transformers for Time Series Forecasting with Exogenous Variables (NeurIPS 2024 · 199 citations) |
| 2025 | 0.316 | Abstain Mask Retain Core: Time Series Prediction by Adaptive Masking Loss with Representation Consistency (NeurIPS 2025 · 1 citation) |
ETTm2 · MSE (lower is better)
7 papers, 2024–2025 · still improving
| Year | Best so far | Set by |
|---|---|---|
| 2024 | 0.274 | TimeXer: Empowering Transformers for Time Series Forecasting with Exogenous Variables (NeurIPS 2024 · 199 citations) |
| 2025 | 0.24 | Linear Transformers as VAR Models: Aligning Autoregressive Attention Mechanisms with Autoregressive Forecasting (ICML 2025 · 0 citations) |
Traffic · MSE (lower is better)
7 papers, 2024–2025 · still improving
| Year | Best so far | Set by |
|---|---|---|
| 2024 | 0.428 | iTransformer: Inverted Transformers Are Effective for Time Series Forecasting (ICLR 2024 · 385 citations) |
| 2025 | 0.391 | Linear Transformers as VAR Models: Aligning Autoregressive Attention Mechanisms with Autoregressive Forecasting (ICML 2025 · 0 citations) |
Weather · MSE (lower is better)
7 papers, 2024–2025 · still improving
| Year | Best so far | Set by |
|---|---|---|
| 2024 | 0.241 | TimeXer: Empowering Transformers for Time Series Forecasting with Exogenous Variables (NeurIPS 2024 · 199 citations) |
| 2025 | 0.201 | Abstain Mask Retain Core: Time Series Prediction by Adaptive Masking Loss with Representation Consistency (NeurIPS 2025 · 1 citation) |
ETTm1 · MSE (lower is better)
6 papers, 2024–2025 · still improving
| Year | Best so far | Set by |
|---|---|---|
| 2024 | 0.382 | TimeXer: Empowering Transformers for Time Series Forecasting with Exogenous Variables (NeurIPS 2024 · 199 citations) |
| 2025 | 0.339 | Linear Transformers as VAR Models: Aligning Autoregressive Attention Mechanisms with Autoregressive Forecasting (ICML 2025 · 0 citations) |
What has been tried
61 papers here report 669 measured changes (a component added, removed or swapped, compared with a baseline): helped 68%, no clear effect 6%, hurt 22%, mixed 4%. Papers mostly publish changes that helped, so "helped" is over-represented.
Ablations in recent papers
| What was changed | Measured on | Result | Effect | Paper |
|---|---|---|---|---|
| replace temporal FFN with attention | ECL, Traffic, Weather, Solar-Energy · MSE | 0.178 -> 0.193; 0.428 -> 0.913; 0.258 -> 0.255; 0.233 -> 0.261 | Hurt | iTransformer: Inverted Transformers Are Effective for Time Series Forecasting (ICLR 2024 · 385 citations) |
| add an endogenous global token | EPF AVG · MSE | 0.316 -> 0.307 | Helped | TimeXer: Empowering Transformers for Time Series Forecasting with Exogenous Variables (NeurIPS 2024 · 199 citations) |
| Add market-guided gating | CSI300 · IC | 0.064±0.003 -> 0.064±0.003 | No clear effect | MASTER: Market-Guided Stock Transformer for Stock Price Forecasting (AAAI 2024 · 87 citations) |
| Use sparse MoE instead of dense MoE | Weather and ECL · MSE | 0.145 -> 0.150 | Hurt | Adaptive Multi-Scale Decomposition Framework for Time Series Forecasting (AAAI 2025 · 58 citations) |
| Add indicator mixing | NASDAQ · IC | 0.040 -> 0.043 | Helped | StockMixer: A Simple Yet Strong MLP-Based Architecture for Stock Price Forecasting (AAAI 2024 · 49 citations) |
| Add the Unet encoder-decoder | ETTh2 · MSE | 0.405 -> 0.381 | Helped | U-Mixer: An Unet-Mixer Architecture with Stationarity Correction for Time Series Forecasting (AAAI 2024 · 39 citations) |
| remove inter-patch attention | Weather, prediction 96 · MSE | 0.156 -> 0.162 | Hurt | Pathformer: Multi-scale Transformers with Adaptive Pathways for Time Series Forecasting (ICLR 2024 · 37 citations) |
| Add instance normalization and inverse normalization | ETTh1, ETTm1, and Electricity, prediction length 96 · MSE | Helped | FilterNet: Harnessing Frequency Filters for Time Series Forecasting (NeurIPS 2024 · 37 citations) | |
| Add time-domain normalization (TDN) alongside frequency-domain normalization (FDN) | Weather · MSE | 0.149 -> 0.146 | Helped | DDN: Dual-domain Dynamic Normalization for Non-stationary Time Series Forecasting (NeurIPS 2024 · 31 citations) |
| Add non-stationary pattern prediction | ETTh1, 96 · MSE | 0.582±0.001 -> 0.362±0.001 | Helped | Frequency Adaptive Normalization For Non-stationary Time Series Forecasting (NeurIPS 2024 · 30 citations) |
| add energy amplification technique | ETTh1 · MSE | 0.393 -> 0.371; 5.643% | Helped | Amplifier: Bringing Attention to Neglected Low-Energy Components in Time Series Forecasting (AAAI 2025 · 26 citations) |
| Add frequency loss instead of using temporal loss only | ETTm1, ETTh1, ECL, Weather · MSE | 0.414 -> 0.392; 0.449 -> 0.437; 0.175 -> 0.169; 0.280 -> 0.257 | Helped | FreDF: Learning to Forecast in the Frequency Domain (ICLR 2025 · 22 citations) |
Baseline numbers that disagree
The same baseline on the same benchmark and metric, reported more than 5% apart by different papers here. Training budgets, data splits and reimplementations differ, so state which number you compare with.
| Baseline | Benchmark | Metric | Reported | Papers |
|---|---|---|---|---|
| DLinear | Exchange, 96 | MSE | 0.052 – 0.081 | 2 papers, e.g. NeurIPS 2024 and AAAI 2025 |
| DLinear | Electricity (96) | MSE | 0.14 – 0.195 | 2 papers, e.g. NeurIPS 2024 and NeurIPS 2024 |
| DLinear | Traffic (96) | MSE | 0.411 – 0.504 | 2 papers, e.g. NeurIPS 2024 and NeurIPS 2024 |
| PatchTST | ETTh1 | MSE | 0.427 – 0.466 | 2 papers, e.g. NeurIPS 2025 and NeurIPS 2025 |
| iTransformer | ETTm2 | MSE | 0.273 – 0.288 | 2 papers, e.g. NeurIPS 2025 and NeurIPS 2024 |
What reviewers will expect
Datasets and baselines named in the 41 papers of this approach from 2025–2026 that have a full-text summary. Leaving out the common ones is a frequent review question.
Datasets
- Weather · 22 of 41 papers
- ETTh1 · 20 of 41 papers
- ETTh2 · 20 of 41 papers
- ETTm1 · 20 of 41 papers
- ETTm2 · 20 of 41 papers
- Traffic · 17 of 41 papers
- Electricity · 15 of 41 papers
- PEMS03 · 8 of 41 papers
Baselines
- PatchTST · 23 of 41 papers
- iTransformer · 22 of 41 papers
- DLinear · 20 of 41 papers
- TimesNet · 14 of 41 papers
- TimeMixer · 12 of 41 papers
- FEDformer · 11 of 41 papers
- Crossformer · 7 of 41 papers
- FITS · 6 of 41 papers
Recent preprints
Loading recent arXiv preprints…
Who publishes on it
Institutions on the most papers of this approach since 2023 (of 111 papers; from OpenAlex and the papers' affiliations).
- Fudan University · 5 papers
- University of Science and Technology of China · 5 papers
- Tsinghua University · 5 papers
- Shanghai Jiao Tong University · 4 papers
- Tongji University · 4 papers
- Hong Kong University of Science and Technology · 4 papers
- Chinese Academy of Sciences · 4 papers
- Alibaba Group · 3 papers
- Shenzhen University · 3 papers
- Beijing Institute of Technology · 3 papers
Use it
Download BibTeX of 29 key papersOpen the topic in the interactive map
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Related approaches
Same keyword cluster
- Spatiotemporal forecasting models (77 papers)
- Graph-based multivariate forecasting (87 papers)
Elsewhere in the topic
- Lightweight long-term forecasters (94 papers)
- Transformers for long-term forecasting (25 papers)
Benchmark numbers, ablations and baseline numbers are extracted by AI from each paper's full text and can be wrong; the paper is the authority. Data: results index of 2026-11-02, citation counts from OpenAlex (2026-10-09).
