HART: Hybrid Attention-RWKV Time series Foundation Model
Organizations: School of Computer Science, Guangdong University of Technology · Huawei Noah’s Ark Lab · LIPADE, Université Paris Cité, Paris, France · College of Science, Shantou University ·
Abstract
Non-autoregressive multi-step forecasting (NAF) enables time series foundation models to predict an entire future horizon in a single forward pass. Despite its strong sequence modeling capabilities, RWKV-7 exhibits long-horizon degradation in our NAF experiments. In this setup, future patches are represented as missing inputs, requiring the recurrent state to evolve across the prediction horizon without new observations. Our analysis of RWKV-7's generalized delta rule suggests a mechanism we term Placeholder Idling Decay (PID): repeated state transitions can attenuate historical information when placeholder-driven writes provide insufficient compensation. Layer-wise analysis reveals reduced state-injection norms in most layers, while transition-matrix norms remain similar between historical and prediction regions, consistent with PID. Motivated by this analysis, we propose HART, a Hybrid Attention-RWKV Time-series Foundation Model that alternates attention and RWKV blocks, combining direct access to historical tokens with recurrent temporal modeling. Controlled experiments on GIFT-Eval and TIME-Benchmark show that HART improves over pure RWKV at medium and long horizons while maintaining comparable short-horizon performance, and achieves better aggregate performance than a comparably sized pure Transformer. With 36M parameters, HART achieves long-horizon MASE comparable to Toto-2.0-1B on GIFT-Eval (0.752 vs. 0.754), using approximately 1/28 of its parameters.
Figures & tables
| Layer | Hist. | Pred. | Ratio | Hist. | Pred. | Ratio |
|---|---|---|---|---|---|---|
| 1 | 8.78 | 6.91 | 0.79 | 6.77 | 6.98 | 1.03 |
| 2 | 4.72 | 3.10 | 0.66 | 7.20 | 7.29 | 1.01 |
| 3 | 4.72 | 2.93 | 0.62 | 7.26 | 7.39 | 1.02 |
| 4 | 6.00 | 5.25 | 0.87 | 7.24 | 7.32 | 1.01 |
| 5 | 7.15 | 4.29 | 0.60 | 7.17 | 7.27 | 1.01 |
| Model | GIFT-Eval | TIME-Benchmark | ||||||
|---|---|---|---|---|---|---|---|---|
| Short | Medium | Long | All | Short | Medium | Long | All | |
| RWKV-36M | 0.689 | 0.749 † | 0.770 † | 0.719 † | 0.620 | 0.727 † | 0.755 † | 0.676 † |
| Transformer-35M | 0.695 | 0.747 | 0.763 † | 0.721 † | 0.618 | 0.725 † | 0.735 | 0.670 † |
| HART-36M | 0.689 | 0.727 | 0.752 | 0.710 | 0.618 | 0.716 | 0.723 | 0.666 |
| Model | GIFT-Eval | TIME-Benchmark | ||||||
|---|---|---|---|---|---|---|---|---|
| Short | Medium | Long | All | Short | Medium | Long | All | |
| YingLong-110M Wang et al. (2025) | 0.766 | 0.856 | 0.885 | 0.809 | – | – | – | – |
| YingLong-300M Wang et al. (2025) | 0.758 | 0.841 | 0.867 | 0.798 | – | – | – | – |
| TimesFM-2.0-500M Das et al. (2023) | 0.704 | 0.810 | 0.860 | 0.758 | 0.652 | 0.791 | 0.797 | 0.718 |
| Sundial-128M Liu et al. (2025c) | 0.732 | 0.764 | 0.785 | 0.750 | 0.700 | 0.813 | 0.831 | 0.757 |
| Xihe-1.5B Sun et al. (2025) | 0.689 | 0.718 | 0.763 | 0.711 | – | – | – | – |
Appendix figures & tables11 assets
Supplementary material from the paper’s appendix.
Appendix
| Model | bitbrains_fast_storage/5T | bitbrains_rnd/5T | bizitobs_application/10S | bizitobs_l2c/5T | bizitobs_l2c/H | bizitobs_service/10S | electricity/15T | electricity/H | ett1/15T | ett1/H | ett2/15T | ett2/H | jena_weather/10T | jena_weather/H | kdd_cup_2018/H | loop_seattle/5T | loop_seattle/H | m_dense/H | solar/10T | solar/H | sz_taxi/15T |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| HART-36M | 0.784 | 0.947 | 0.969 | 0.531 | 0.394 | 0.982 | 0.742 | 0.741 | 0.853 | 1.049 | 0.889 | 0.970 | 1.025 | 0.618 | 0.709 | 0.604 | 0.562 | 0.451 | 0.909 | 0.814 | 0.784 |
| RWKV-36M | 0.797 | 0.951 | 1.031 | 0.471 | 0.420 | 0.959 | 0.785 | 0.766 | 0.933 | 1.062 | 0.945 | 0.937 | 1.011 | 0.619 | 0.714 | 0.691 | 0.582 | 0.486 | 0.924 | 0.834 | 0.785 |
| Transformer-35M | 0.783 | 0.947 | 0.977 | 0.636 | 0.397 | 1.090 | 0.755 | 0.744 | 0.847 | 1.029 | 0.902 | 0.883 | 0.979 | 0.626 | 0.736 | 0.621 | 0.567 | 0.454 | 0.935 | 0.820 | 0.784 |
| Kairos-23M | 0.859 | 0.976 | 0.947 | 0.764 | 0.390 | 1.015 | 0.818 | 0.845 | 0.849 | 0.903 | 0.896 | 0.894 | 0.863 | 0.842 | 0.765 | 0.701 | 0.611 | 0.568 | 0.926 | 0.857 | 0.768 |
| TiRex-35M | 0.805 | 0.957 | 1.059 | 0.417 | 0.410 | 1.093 | 0.801 | 0.810 | 0.857 | 0.893 | 0.884 | 1.050 | 0.852 | 0.777 | 0.756 | 0.761 | 0.566 | 0.470 | 0.954 | 0.771 | 0.737 |
| Toto-2.0-22M | 0.736 | 0.934 | 1.037 | 0.693 | 0.402 | 0.967 | 0.787 | 0.821 | 0.838 | 0.914 | 0.875 | 0.925 | 0.852 | 0.837 | 0.762 | 0.714 | 0.583 | 0.523 | 0.954 | 0.859 | 0.741 |
| Model | bitbrains_fast_storage/5T | bitbrains_rnd/5T | bizitobs_application/10S | bizitobs_l2c/5T | bizitobs_l2c/H | bizitobs_service/10S | electricity/15T | electricity/H | ett1/15T | ett1/H | ett2/15T | ett2/H | jena_weather/10T | jena_weather/H | kdd_cup_2018/H | loop_seattle/5T | loop_seattle/H | m_dense/H | solar/10T | solar/H | sz_taxi/15T |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| HART-36M | 0.805 | 0.965 | 0.765 | 0.463 | 0.331 | 0.817 | 0.717 | 0.745 | 0.845 | 0.889 | 0.830 | 0.898 | 0.932 | 0.840 | 0.691 | 0.619 | 0.620 | 0.424 | 0.903 | 0.890 | 0.774 |
| RWKV-36M | 0.815 | 0.968 | 0.906 | 0.484 | 0.340 | 0.867 | 0.737 | 0.756 | 0.895 | 0.879 | 0.883 | 0.857 | 0.947 | 0.854 | 0.690 | 0.700 | 0.632 | 0.452 | 0.880 | 0.902 | 0.773 |
| Transformer-35M | 0.804 | 0.967 | 0.962 | 0.595 | 0.341 | 0.931 | 0.724 | 0.753 | 0.834 | 0.904 | 0.847 | 0.801 | 0.919 | 0.861 | 0.696 | 0.629 | 0.613 | 0.434 | 0.870 | 0.903 | 0.771 |
| Kairos-23M | 0.886 | 0.989 | 0.936 | 0.605 | 0.325 | 0.906 | 0.788 | 0.818 | 0.854 | 0.840 | 0.865 | 0.814 | 0.882 | 0.944 | 0.726 | 0.702 | 0.661 | 0.511 | 0.812 | 0.900 | 0.781 |
| TiRex-35M | 0.822 | 0.972 | 0.982 | 0.498 | 0.344 | 0.889 | 0.771 | 0.782 | 0.854 | 0.788 | 0.833 | 0.916 | 0.846 | 0.853 | 0.725 | 0.763 | 0.620 | 0.445 | 0.924 | 0.838 | 0.753 |
| Toto-2.0-22M | 0.763 | 0.955 | 0.919 | 0.512 | 0.331 | 0.830 | 0.764 | 0.799 | 0.837 | 0.807 | 0.842 | 0.842 | 0.792 | 0.942 | 0.733 | 0.722 | 0.634 | 0.470 | 0.938 | 0.932 | 0.756 |
| Model | bizitobs_application | bizitobs_l2c/5T | bizitobs_l2c/H | bizitobs_service | car_parts/M | covid_deaths/D | electricity/15T | electricity/D | electricity/H | electricity/W | ett1/15T | ett1/D | ett1/H | ett1/W | ett2/15T | ett2/D | ett2/H | ett2/W | hierarchical_sales/D | hierarchical_sales/W | hospital/M | jena_weather/10T | jena_weather/D | jena_weather/H | kdd_cup_2018/D | kdd_cup_2018/H | loop_seattle/5T | loop_seattle/D |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| HART-36M | 0.372 | 0.265 | 0.366 | 0.585 | 0.711 | 0.960 | 0.584 | 0.714 | 0.661 | 0.694 | 0.707 | 0.976 | 0.846 | 0.938 | 0.675 | 0.940 | 0.772 | 0.976 | 0.664 | 0.700 | 0.908 | 0.356 | 0.649 | 0.700 | 0.790 | 0.638 | 0.728 | 0.522 |
| RWKV-36M | 0.422 | 0.238 | 0.365 | 0.627 | 0.710 | 0.955 | 0.591 | 0.717 | 0.678 | 0.691 | 0.728 | 0.971 | 0.862 | 0.909 | 0.676 | 0.918 | 0.776 | 0.927 | 0.660 | 0.702 | 0.907 | 0.367 | 0.620 | 0.706 | 0.793 | 0.638 | 0.761 | 0.518 |
| Transformer-35M | 0.488 | 0.270 | 0.361 | 0.635 | 0.705 | 0.972 | 0.569 | 0.713 | 0.668 | 0.704 | 0.710 | 0.972 | 0.853 | 0.938 | 0.669 | 0.898 | 0.774 | 0.978 | 0.657 | 0.705 | 0.907 | 0.373 | 0.638 | 0.707 | 0.784 | 0.627 | 0.749 | 0.525 |
| Kairos-23M | 0.573 | 0.288 | 0.396 | 0.685 | 0.819 | 0.874 | 0.649 | 0.730 | 0.732 | 0.678 | 0.761 | 0.921 | 0.873 | 0.806 | 0.749 | 0.935 | 0.809 | 1.252 | 0.663 | 0.721 | 0.846 | 0.387 | 0.758 | 0.733 | 0.791 | 0.706 | 0.741 | 0.508 |
| TiRex-35M | 0.537 | 0.283 | 0.407 | 0.674 | 0.705 | 0.727 | 0.617 | 0.710 | 0.670 | 0.690 | 0.759 | 0.944 | 0.836 | 0.904 | 0.706 | 0.943 | 0.784 | 0.983 | 0.657 | 0.704 | 0.821 | 0.377 | 0.645 | 0.724 | 0.802 | 0.701 | 0.735 | 0.505 |
| Toto-2.0-22M | 0.542 | 0.254 | 0.340 | 0.631 | 0.735 | 0.632 | 0.596 | 0.737 | 0.779 | 0.773 | 0.713 | 0.930 | 0.871 | 0.857 | 0.669 | 0.926 | 0.802 | 1.054 | 0.661 | 0.711 | 0.823 | 0.351 | 0.711 | 0.729 | 0.801 | 0.706 | 0.730 | 0.514 |
| Model | loop_seattle/H | m4_daily/D | m4_hourly/H | m4_monthly/M | m4_quarterly/Q | m4_weekly/W | m4_yearly/A | m_dense/D | m_dense/H | restaurant/D | saugeen/D | saugeen/M | saugeen/W | solar/10T | solar/D | solar/H | solar/W | sz_taxi/15T | sz_taxi/H | temperature_rain/D | us_births/D | us_births/M | us_births/W | bitbrains_fast_storage/5T | bitbrains_fast_storage/H | bitbrains_rnd/5T | bitbrains_rnd/H |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| HART-36M | 0.654 | 1.005 | 0.558 | 0.834 | 0.874 | 0.703 | 1.100 | 0.407 | 0.520 | 0.671 | 0.824 | 0.797 | 0.566 | 0.991 | 0.841 | 0.867 | 0.675 | 0.717 | 0.770 | 0.656 | 0.193 | 1.243 | 0.731 | 0.589 | 0.827 | 0.828 | 0.970 |
| RWKV-36M | 0.665 | 0.996 | 0.550 | 0.824 | 0.865 | 0.698 | 1.112 | 0.412 | 0.512 | 0.672 | 0.789 | 0.778 | 0.562 | 0.797 | 0.844 | 0.878 | 0.670 | 0.717 | 0.770 | 0.710 | 0.202 | 1.541 | 0.652 | 0.591 | 0.830 | 0.829 | 0.969 |
| Transformer-35M | 0.664 | 0.998 | 0.554 | 0.826 | 0.860 | 0.706 | 1.097 | 0.396 | 0.535 | 0.674 | 0.846 | 0.808 | 0.593 | 0.913 | 0.838 | 0.884 | 0.761 | 0.718 | 0.773 | 0.656 | 0.183 | 1.458 | 0.676 | 0.595 | 0.826 | 0.833 | 0.970 |
| Kairos-23M | 0.667 | 1.011 | 0.882 | 0.771 | 0.743 | 0.892 | 0.752 | 0.407 | 0.571 | 0.692 | 0.895 | 0.715 | 0.623 | 1.071 | 0.859 | 0.912 | 0.715 | 0.727 | 0.773 | 0.699 | 0.234 | 1.100 | 0.794 | 0.711 | 0.854 | 0.889 | 0.980 |
| TiRex-35M | 0.638 | 0.986 | 0.605 | 0.731 | 0.715 | 0.717 | 0.848 | 0.405 | 0.526 | 0.674 | 0.879 | 0.767 | 0.588 | 0.984 | 0.827 | 0.782 | 0.707 | 0.710 | 0.763 | 0.660 | 0.237 | 0.791 | 0.669 | 0.608 | 0.785 | 0.840 | 0.963 |
| Toto-2.0-22M | 0.680 | 0.978 | 0.691 | 0.728 | 0.730 | 0.728 | 0.826 | 0.415 | 0.539 | 0.700 | 0.878 | 0.732 | 0.630 | 0.822 | 0.842 | 0.912 | 0.827 | 0.715 | 0.765 | 0.682 | 0.208 | 0.927 | 0.695 | 0.557 | 0.707 | 0.817 | 0.959 |
| Model | Australia_Solar/H | CPHL/15T | CPHL/30T | CPHL/H | Coastal_T_S/15T | Coastal_T_S/20T | Coastal_T_S/5T | Coastal_T_S/H | EWELD_Load/15T | Finland_Traffic/15T | MetroPT-3/5T | NE_China_Wind/H | OpenElectricity_NEM/5T | SG_Carpark/15T | SG_PM25/H | SG_Weather/D | Smart_Manufacturing/H | Water_Quality_Darwin/15T | current_velocity/10T | current_velocity/15T | current_velocity/20T | current_velocity/5T | current_velocity/H | epf_electricity_price/H |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| HART-36M | 0.834 | 0.779 | 0.806 | 0.805 | 0.860 | 0.796 | 0.813 | 0.885 | 0.664 | 0.479 | 0.748 | 0.725 | 0.690 | 0.492 | 0.696 | 0.710 | 0.666 | 0.869 | 0.667 | 0.752 | 0.790 | 0.663 | 0.671 | 0.687 |
| RWKV-36M | 0.847 | 0.764 | 0.846 | 0.815 | 0.857 | 0.881 | 0.858 | 0.868 | 0.723 | 0.595 | 0.759 | 0.713 | 0.766 | 0.598 | 0.700 | 0.710 | 0.668 | 0.848 | 0.718 | 0.765 | 0.805 | 0.794 | 0.655 | 0.680 |
| Transformer-35M | 0.861 | 0.738 | 0.788 | 0.798 | 0.853 | 0.810 | 0.902 | 0.839 | 0.664 | 0.491 | 0.749 | 0.744 | 0.669 | 0.542 | 0.711 | 0.719 | 0.666 | 0.832 | 0.689 | 0.759 | 0.796 | 0.787 | 0.694 | 0.694 |
| TiRex-35M | 0.830 | 0.751 | 0.804 | 0.858 | 0.846 | 0.837 | 0.852 | 0.885 | 0.715 | 0.568 | 0.743 | 0.796 | 0.862 | 0.623 | 0.705 | 0.715 | 0.667 | 0.905 | 0.729 | 0.763 | 0.809 | 0.737 | 0.698 | 0.679 |
| Toto-2.0-22M | 0.890 | 0.750 | 0.812 | 0.846 | 0.854 | 0.761 | 0.820 | 0.802 | 0.718 | 0.520 | 0.751 | 0.844 | 0.727 | 0.624 | 0.693 | 0.711 | 0.669 | 0.811 | 0.676 | 0.735 | 0.754 | 0.709 | 0.662 | 0.704 |
| Toto-2.0-313M | 0.835 | 0.730 | 0.792 | 0.826 | 0.846 | 0.662 | 0.811 | 0.771 | 0.663 | 0.467 | 0.801 | 0.803 | 0.701 | 0.567 | 0.684 | 0.705 | 0.669 | 0.787 | 0.619 | 0.723 | 0.726 | 0.603 | 0.633 | 0.681 |
| Model | Australia_Solar/H | CPHL/15T | CPHL/30T | CPHL/H | Coastal_T_S/15T | Coastal_T_S/20T | Coastal_T_S/5T | Coastal_T_S/H | EWELD_Load/15T | Finland_Traffic/15T | MetroPT-3/5T | NE_China_Wind/H | OpenElectricity_NEM/5T | SG_Carpark/15T | SG_PM25/H | SG_Weather/D | Smart_Manufacturing/H | Water_Quality_Darwin/15T | current_velocity/10T | current_velocity/15T | current_velocity/20T | current_velocity/5T | current_velocity/H | epf_electricity_price/H |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| HART-36M | 0.773 | 0.758 | 0.813 | 0.808 | 0.843 | 0.780 | 0.774 | 0.799 | 0.666 | 0.682 | 0.755 | 0.750 | 0.532 | 0.534 | 0.758 | 0.729 | 0.683 | 0.834 | 0.667 | 0.725 | 0.740 | 0.646 | 0.624 | 0.642 |
| RWKV-36M | 0.787 | 0.765 | 0.824 | 0.800 | 0.847 | 0.780 | 0.776 | 0.825 | 0.685 | 0.706 | 0.760 | 0.725 | 0.610 | 0.588 | 0.762 | 0.731 | 0.686 | 0.804 | 0.698 | 0.740 | 0.739 | 0.646 | 0.607 | 0.639 |
| Transformer-35M | 0.787 | 0.733 | 0.820 | 0.792 | 0.841 | 0.739 | 0.799 | 0.814 | 0.674 | 0.707 | 0.754 | 0.768 | 0.530 | 0.568 | 0.770 | 0.735 | 0.684 | 0.824 | 0.680 | 0.731 | 0.744 | 0.702 | 0.641 | 0.662 |
| TiRex-35M | 0.805 | 0.758 | 0.834 | 0.826 | 0.851 | 0.837 | 0.805 | 0.857 | 0.694 | 0.811 | 0.743 | 0.789 | 0.689 | 0.703 | 0.766 | 0.735 | 0.685 | 0.876 | 0.725 | 0.736 | 0.748 | 0.750 | 0.636 | 0.629 |
| Toto-2.0-22M | 0.826 | 0.744 | 0.804 | 0.847 | 0.848 | 0.694 | 0.784 | 0.743 | 0.681 | 0.762 | 0.749 | 0.811 | 0.583 | 0.718 | 0.756 | 0.731 | 0.687 | 0.762 | 0.681 | 0.724 | 0.715 | 0.663 | 0.616 | 0.655 |
| Toto-2.0-313M | 0.771 | 0.751 | 0.802 | 0.832 | 0.844 | 0.659 | 0.772 | 0.719 | 0.651 | 0.646 | 0.778 | 0.794 | 0.523 | 0.564 | 0.742 | 0.726 | 0.684 | 0.734 | 0.645 | 0.728 | 0.695 | 0.639 | 0.593 | 0.632 |
| Model | Australia_Solar/H | Auto_Production_SF/M | CPHL/15T | CPHL/30T | CPHL/H | Coastal_T_S/15T | Coastal_T_S/20T | Coastal_T_S/5T | Coastal_T_S/H | Commodity_Import/M | Commodity_Production/M | Crypto/D | ECDC_COVID/D | ECDC_COVID/W | EWELD_Load/15T | Finland_Traffic/15T | Global_Influenza/W | Global_Price/Q | Housing_Inventory/M | JOLTS/M | Job_Claims/W | MetroPT-3/5T | NE_China_Wind/H | Oil_Price/B | Online_Retail_2_UCI/D |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| HART-36M | 0.811 | 0.797 | 0.457 | 0.710 | 0.796 | 0.758 | 0.332 | 0.619 | 0.722 | 0.831 | 0.787 | 1.016 | 0.975 | 0.882 | 0.548 | 0.497 | 0.601 | 0.804 | 0.934 | 0.653 | 1.070 | 0.708 | 0.559 | 0.887 | 0.271 |
| RWKV-36M | 0.815 | 0.719 | 0.466 | 0.717 | 0.798 | 0.760 | 0.328 | 0.617 | 0.724 | 0.818 | 0.768 | 1.003 | 0.983 | 0.904 | 0.554 | 0.475 | 0.598 | 0.806 | 0.957 | 0.657 | 1.044 | 0.713 | 0.572 | 0.902 | 0.291 |
| Transformer-35M | 0.797 | 0.841 | 0.464 | 0.712 | 0.805 | 0.760 | 0.324 | 0.621 | 0.726 | 0.802 | 0.781 | 1.019 | 0.893 | 0.955 | 0.553 | 0.469 | 0.615 | 0.801 | 0.909 | 0.627 | 1.015 | 0.701 | 0.574 | 0.870 | 0.271 |
| TiRex-35M | 0.839 | 0.763 | 0.470 | 0.727 | 0.804 | 0.762 | 0.342 | 0.626 | 0.729 | 0.802 | 0.733 | 0.985 | 0.815 | 0.808 | 0.578 | 0.586 | 0.649 | 0.820 | 0.672 | 0.609 | 0.854 | 0.702 | 0.576 | 0.889 | 0.284 |
| Toto-2.0-22M | 0.892 | 0.698 | 0.468 | 0.704 | 0.790 | 0.760 | 0.319 | 0.624 | 0.719 | 0.802 | 0.742 | 1.052 | 0.847 | 0.996 | 0.566 | 0.532 | 0.679 | 0.771 | 0.707 | 0.571 | 0.873 | 0.735 | 0.600 | 0.877 | 0.311 |
| Toto-2.0-313M | 0.781 | 0.600 | 0.463 | 0.700 | 0.792 | 0.757 | 0.292 | 0.616 | 0.704 | 0.783 | 0.706 | 1.143 | 0.807 | 0.985 | 0.543 | 0.440 | 0.650 | 0.780 | 0.591 | 0.517 | 0.862 | 0.723 | 0.583 | 0.865 | 0.292 |
| Model | OpenElectricity_NEM/5T | Port_Activity/D | Port_Activity/W | SG_Carpark/15T | SG_PM25/H | SG_Weather/D | Smart_Manufacturing/H | Supply_Chain_Customer/D | Supply_Chain_Location/D | US_Labor/M | US_Term_Structure/B | Uncertainty_1M/M | Vehicle_Sales/M | Vehicle_Supply/M | WUI_Global/Q | Water_Quality_Darwin/15T | azure2019_D/5T | azure2019_I/5T | azure2019_U/5T | current_velocity/10T | current_velocity/15T | current_velocity/20T | current_velocity/5T | current_velocity/H | epf_electricity_price/H |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| HART-36M | 0.364 | 0.578 | 0.766 | 0.372 | 0.736 | 0.779 | 0.710 | 0.340 | 0.393 | 0.414 | 0.872 | 0.318 | 0.581 | 0.794 | 0.720 | 0.559 | 0.686 | 0.688 | 0.601 | 0.494 | 0.499 | 0.464 | 0.396 | 0.663 | 0.669 |
| RWKV-36M | 0.385 | 0.577 | 0.769 | 0.389 | 0.739 | 0.779 | 0.714 | 0.343 | 0.397 | 0.438 | 0.846 | 0.338 | 0.588 | 0.798 | 0.716 | 0.545 | 0.669 | 0.680 | 0.595 | 0.513 | 0.501 | 0.463 | 0.391 | 0.651 | 0.665 |
| Transformer-35M | 0.361 | 0.576 | 0.769 | 0.380 | 0.742 | 0.786 | 0.712 | 0.338 | 0.389 | 0.416 | 0.863 | 0.319 | 0.576 | 0.797 | 0.721 | 0.556 | 0.689 | 0.696 | 0.604 | 0.500 | 0.501 | 0.464 | 0.423 | 0.665 | 0.687 |
| TiRex-35M | 0.414 | 0.576 | 0.753 | 0.434 | 0.743 | 0.780 | 0.713 | 0.356 | 0.406 | 0.443 | 0.849 | 0.351 | 0.570 | 0.714 | 0.721 | 0.567 | 0.697 | 0.719 | 0.581 | 0.512 | 0.500 | 0.467 | 0.408 | 0.654 | 0.658 |
| Toto-2.0-22M | 0.374 | 0.574 | 0.756 | 0.432 | 0.732 | 0.776 | 0.728 | 0.337 | 0.389 | 0.441 | 0.935 | 0.358 | 0.536 | 0.704 | 0.715 | 0.517 | 0.658 | 0.670 | 0.571 | 0.515 | 0.501 | 0.458 | 0.406 | 0.665 | 0.676 |
| Toto-2.0-313M | 0.354 | 0.573 | 0.754 | 0.379 | 0.725 | 0.775 | 0.722 | 0.324 | 0.379 | 0.451 | 0.869 | 0.370 | 0.516 | 0.690 | 0.713 | 0.493 | 0.619 | 0.623 | 0.549 | 0.505 | 0.495 | 0.446 | 0.423 | 0.642 | 0.659 |
| Experiment | RWKV-AR | RWKV-NAF | HART-AR | HART-NAF | Transformer-AR | Transformer-NAF | |
|---|---|---|---|---|---|---|---|
| SE1 Regime Switch | S | 0.162 | 0.163 | 0.161 | 0.161 | 0.162 | 0.162 |
| M | 0.126 | 0.140 | 0.125 | 0.126 | 0.126 | 0.127 | |
| L | 0.131 | 0.191 | 0.130 | 0.131 | 0.131 | 0.133 | |
| SE2 Ultra-Long Cycle | S | 0.488 | 0.490 | 0.481 | 0.483 | 0.482 | 0.483 |
| M | 0.205 | 0.246 | 0.200 | 0.226 | 0.199 | 0.215 | |
| L | 0.201 | 0.296 | 0.198 | 0.228 | 0.196 | 0.212 |
Time Series Forecasting
Time series forecasting predicts future values from ordered observations using statistical, neural, and probabilistic models to support decisions under uncertainty.
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