mlsanityData to 14 Oct 2026

CARD: Channel Aligned Robust Blend Transformer for Time Series Forecasting

arXiv 2305.12095 ↗First posted 20 May 2023cs.LGcited by 55

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Abstract (arXiv)

Recent studies have demonstrated the great power of Transformer models for time series forecasting. One of the key elements that lead to the transformer's success is the channel-independent (CI) strategy to improve the training robustness. However, the ignorance of the correlation among different channels in CI would limit the model's forecasting capacity. In this work, we design a special Transformer, i.e., Channel Aligned Robust Blend Transformer (CARD for short), that addresses key shortcomings of CI type Transformer in time series forecasting. First, CARD introduces a channel-aligned attention structure that allows it to capture both temporal correlations among signals and dynamical dependence among multiple variables over time. Second, in order to efficiently utilize the multi-scale knowledge, we design a token blend module to generate tokens with different resolutions. Third, we introduce a robust loss function for time series forecasting to alleviate the potential overfitting issue. This new loss function weights the importance of forecasting over a finite horizon based on prediction uncertainties. Our evaluation of multiple long-term and short-term forecasting datasets demonstrates that CARD significantly outperforms state-of-the-art time series forecasting methods. The code is available at the following repository:https://github.com/wxie9/CARD

Key facts. Cited by 55 papers in the map (data through 14 Oct 2026). Builds on 44 of its 62 references that are in the map. First posted on arXiv 20 May 2023.

Builds on

44 of 62 references.

References · 44

  1. 2017Attention Is All You Needcited by 60,361
  2. 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,399
  3. 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 30,186
  4. 2021Swin Transformer: Hierarchical Vision Transformer using Shifted Windowscited by 12,139
  5. 2021Masked Autoencoders Are Scalable Vision Learnerscited by 7,403
  6. 2015Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shiftcited by 7,005
  7. 2022Robust Speech Recognition via Large-Scale Weak Supervisioncited by 4,057
  8. 2022FlashAttention: Fast and Memory-Efficient Exact Attention with IO-Awarenesscited by 3,673
  9. 2021Efficiently Modeling Long Sequences with Structured State Spacescited by 2,465
  10. 2021BEiT: BERT Pre-Training of Image Transformerscited by 2,375
  11. 2021HuBERT: Self-Supervised Speech Representation Learning by Masked Prediction of Hidden Unitscited by 2,342
  12. 2020Informer: Beyond Efficient Transformer for Long Sequence Time-Series Forecastingcited by 2,169
32 more
  1. 2022A Time Series is Worth 64 Words: Long-term Forecasting with Transformerscited by 2,039
  2. 2021Autoformer: Decomposition Transformers with Auto-Correlation for Long-Term Series Forecastingcited by 1,676
  3. 2022Are Transformers Effective for Time Series Forecasting?cited by 1,424
  4. 2022FEDformer: Frequency Enhanced Decomposed Transformer for Long-term Series Forecastingcited by 1,210
  5. 2022TimesNet: Temporal 2D-Variation Modeling for General Time Series Analysiscited by 1,058
  6. 2017DeepAR: Probabilistic Forecasting with Autoregressive Recurrent Networkscited by 1,013
  7. 2017Modeling Long- and Short-Term Temporal Patterns with Deep Neural Networkscited by 879
  8. 2019Temporal Fusion Transformers for Interpretable Multi-horizon Time Series Forecastingcited by 761
  9. 2019N-BEATS: Neural basis expansion analysis for interpretable time series forecastingcited by 753
  10. 2023Neural Codec Language Models are Zero-Shot Text to Speech Synthesizerscited by 752
  11. 2023One Fits All:Power General Time Series Analysis by Pretrained LMcited by 632
  12. 2019Enhancing the Locality and Breaking the Memory Bottleneck of Transformer on Time Series Forecastingcited by 607
  13. 2022Transformers in Time Series: A Surveycited by 497
  14. 2022Non-stationary Transformers: Exploring the Stationarity in Time Series Forecastingcited by 391
  15. 2021XCiT: Cross-Covariance Image Transformerscited by 338
  16. 2023Long-term Forecasting with TiDE: Time-series Dense Encodercited by 332
  17. 2023TSMixer: An All-MLP Architecture for Time Series Forecastingcited by 240
  18. 2017A Multi-Horizon Quantile Recurrent Forecastercited by 211
  19. 2022Mega: Moving Average Equipped Gated Attentioncited by 179
  20. 2022DaViT: Dual Attention Vision Transformerscited by 175
  21. 2019Think Globally, Act Locally: A Deep Neural Network Approach to High-Dimensional Time Series Forecastingcited by 161
  22. 2022Less Is More: Fast Multivariate Time Series Forecasting with Light Sampling-oriented MLP Structurescited by 160
  23. 2022ETSformer: Exponential Smoothing Transformers for Time-series Forecastingcited by 148
  24. 2022FiLM: Frequency improved Legendre Memory Model for Long-term Time Series Forecastingcited by 147
  25. 2022N-HiTS: Neural Hierarchical Interpolation for Time Series Forecastingcited by 146
  26. 2021Long-Short Transformer: Efficient Transformers for Language and Visioncited by 102
  27. 2023The Capacity and Robustness Trade-off: Revisiting the Channel Independent Strategy for Multivariate Time Series Forecastingcited by 101
  28. 2023DiffSTG: Probabilistic Spatio-Temporal Graph Forecasting with Denoising Diffusion Modelscited by 81
  29. 2022AirFormer: Predicting Nationwide Air Quality in China with Transformerscited by 73
  30. 2023MTS-Mixers: Multivariate Time Series Forecasting via Factorized Temporal and Channel Mixingcited by 53
  31. 2022SpeechFormer: A Hierarchical Efficient Framework Incorporating the Characteristics of Speechcited by 20
  32. 2022RobustScaler: QoS-Aware Autoscaling for Complex Workloadscited by 4

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2023: 1; 2024: 19; 2025: 26; 2026: 9.

55 papers.

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  1. 2024Time-MoE: Billion-Scale Time Series Foundation Models with Mixture of Expertscited by 287
  2. 2024Deep Time Series Models: A Comprehensive Survey and Benchmarkcited by 197
  3. 2024CALF: Aligning LLMs for Time Series Forecasting via Cross-modal Fine-Tuningcited by 108
  4. 2024Kolmogorov-Arnold Networks for Time Series: Bridging Predictive Power and Interpretabilitycited by 70
  5. 2025A Comprehensive Survey of Deep Learning for Multivariate Time Series Forecasting: A Channel Strategy Perspectivecited by 58
  6. 2024Medformer: A Multi-Granularity Patching Transformer for Medical Time-Series Classificationcited by 53
  7. 2024From Similarity to Superiority: Channel Clustering for Time Series Forecastingcited by 37
  8. 2024Rethinking Channel Dependence for Multivariate Time Series Forecasting: Learning from Leading Indicatorscited by 32
  9. 2024Universal Time-Series Representation Learning: A Surveycited by 30
  10. 2025OLinear: A Linear Model for Time Series Forecasting in Orthogonally Transformed Domaincited by 26
  11. 2024Scaling-laws for Large Time-series Modelscited by 18
  12. 2025FreEformer: Frequency Enhanced Transformer for Multivariate Time Series Forecastingcited by 18
38 more
  1. 2024On the Identification of Temporally Causal Representation with Instantaneous Dependencecited by 16
  2. 2024Time Evidence Fusion Network: Multi-source View in Long-Term Time Series Forecastingcited by 11
  3. 2025MAESTRO : Adaptive Sparse Attention and Robust Learning for Multimodal Dynamic Time Seriescited by 10
  4. 2025Learning General Causal Structures with Hidden Dynamic Process for Climate Analysiscited by 7
  5. 2025S4M: S4 for multivariate time series forecasting with Missing valuescited by 6
  6. 2025CITRAS: Covariate-Informed Transformer for Time Series Forecastingcited by 5
  7. 2024Loss Shaping Constraints for Long-Term Time Series Forecastingcited by 4
  8. 2025Not All Data are Good Labels: On the Self-supervised Labeling for Time Series Forecastingcited by 4
  9. 2025Multi-Order Wavelet Derivative Transform for Deep Time Series Forecastingcited by 4
  10. 2026Baguan-TS: A Sequence-Native In-Context Learning Model for Time Series Forecasting with Covariatescited by 4
  11. 2024DisenTS: Disentangled Channel Evolving Pattern Modeling for Multivariate Time Series Forecastingcited by 3
  12. 2024Dataset-Driven Channel Masks in Transformers for Multivariate Time Seriescited by 3
  13. 2025Why Attention Fails: The Degeneration of Transformers into MLPs in Time Series Forecastingcited by 3
  14. 2025Goal-Oriented Time-Series Forecasting: Foundation Framework Designcited by 2
  15. 2025S2Transformer: Scalable Structured Transformers for Global Station Weather Forecastingcited by 2
  16. 2026CPiRi: Channel Permutation-Invariant Relational Interaction for Multivariate Time Series Forecastingcited by 2
  17. 2024Robust Time Series Forecasting with Non-Heavy-Tailed Gaussian Loss-Weighted Samplercited by 1
  18. 2024Channel Matters: Estimating Channel Influence for Multivariate Time Seriescited by 1
  19. 2024Just In Time Transformerscited by 1
  20. 2025STaRFormer: Semi-Supervised Task-Informed Representation Learning via Dynamic Attention-Based Regional Masking for Sequential Datacited by 1
  21. 2025SCFormer: Structured Channel-wise Transformer with Cumulative Historical State for Multivariate Time Series Forecastingcited by 1
  22. 2025Towards Robust Real-World Multivariate Time Series Forecasting: A Unified Framework for Dependency, Asynchrony, and Missingnesscited by 1
  23. 2025Leveraging External Factors in Household-Level Electrical Consumption Forecasting using Hypernetworkscited by 1
  24. 2025TimePerceiver: An Encoder-Decoder Framework for Generalized Time-Series Forecastingcited by 1
  25. 2026vLinear: A Powerful Linear Model for Multivariate Time Series Forecastingcited by 1
  26. 2026XCTFormer: Leveraging Cross-Channel and Cross-Time Dependencies for Enhanced Time-Series Analysiscited by 1
  27. 2023A Supervised Contrastive Learning Pretrain-Finetune Approach for Time Seriescited by 0
  28. 2024Towards Universal Large-Scale Foundational Model for Natural Gas Demand Forecastingcited by 0
  29. 2024FSMLP: Modelling Channel Dependencies With Simplex Theory Based Multi-Layer Perceptions In Frequency Domaincited by 0
  30. 2025Fewer yet critical: Reducing Redundant Token Dependencies for Transformer-based Time Series Forecastingcited by 0
  31. 2025Sentinel: Multi-Patch Transformer with Temporal and Channel Attention for Time Series Forecastingcited by 0
  32. 2025CRAFT: Time Series Forecasting with Cross-Future Behavior Awarenesscited by 0
  33. 2025Biaxialformer: Leveraging Channel Independence and Inter-Channel Correlations in EEG Signal Decoding for Predicting Neurological Outcomescited by 0
  34. 2025Data-driven Mori-Zwanzig modeling of Lagrangian particle dynamics in turbulent flowscited by 0
  35. 2025Towards Scalable and Structured Spatiotemporal Forecastingcited by 0
  36. 2025CATS-Linear: Classification Auxiliary Linear Model for Time Series Forecastingcited by 0
  37. 2025Adapformer: Adaptive Channel Management for Multivariate Time Series Forecastingcited by 0
  38. 2025STELLA: Guiding Large Language Models for Time Series Forecasting with Semantic Abstractionscited by 0

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