Revisiting Identity and Spectra Dispersion in Media-Bridged Time Series Forecasting: Linking Multivariate Signals and Narrative Flows
Organizations: School of Advanced Interdisciplinary Sciences, University of Chinese Academy of Sciences, Beijing 100049, China · State Key Laboratory of Multimodal Artificial Intelligence Systems, Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China · School of Intelligent Systems Engineering, Sun Yat-sen University, Shenzhen, Guangdong 518107, China · School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China · School of Artificial Intelligence, University of Chinese Academy of Sciences, Beijing 100049, China · College of Computer Science, Chongqing University, Chongqing 401331, China
Abstract
Media-bridged time series forecasting is expanding to encompass traditional "multivariate" and emerging "multimodal" (e.g., through textual assistance). Existing Time Series Forecasting (TSF) models still rely on paradigm-specific relation, fusion, and temporal modules, hindering a common forecasting backbone across numerical and pre-aligned narrative-flow settings. To explore this, we propose the Multimedia Identity-Aware Prism Network (MIDAPN), a unified spatiotemporal forecasting backbone based on media-general graph adaptation and automatic temporal learning: (1) Following media pre-alignment, our Multimedia Identity-Aware Graph (MIDAG) revisits identity through static essence, dynamic behavior, and latent commonality, inducing affinities that extend variable-specific dependencies across media. Contextual Identity Modulation (CIM) further refines discriminative aggregation. (2) We develop Spectral Prism Convolution (SPConv) to automatically perform hierarchical temporal analysis, balancing coarse trends and fine-grained details. Meanwhile, its Adaptive Search Guidance configures a scale-efficient architecture for temporal-dimension reconstruction. These decoupled yet synergistic components jointly address media identity disentanglement and temporal-scale mismatch. Comprehensive evaluations involving 16 SOTA TSF models across 13 "multivariate" and 12 "multimodal" datasets, alongside targeted long-context comparisons against 14 time series foundation models and fused pretrained language models, demonstrate MIDAPN's consistent superiority and broad shared backbone compatibility. The code is available at https://github.com/MIDAPN.
Figures & tables
| Method | Year | External Paired Modality | Pretrained PLM/TSFM | Explicit Cross- Variate Relation | Intermediate Cross- Modal Interaction | Identity/Group-Aware Relation Modeling | Frequency-Domain Modeling | Explicit Multi-Resolution Temporal Modeling | Search-Guided Hierarchical Reconstruction |
| Native multivariate models and their TaTS-based extensions | |||||||||
| MSGNet [ 17 ] | 2024 | ✗ | ✗ | ✓ | ✗ | ✗ | ✓ | ✓ | ✗ |
| + TaTS [ 15 ] | 2026 | ✓ | ✓ | ✓ | ✓ | ✗ | ✓ | ✓ | ✗ |
| TimeFilter [ 29 ] | 2025 | ✗ | ✗ | ✓ | ✗ | ✗ | ✗ | ✗ | ✗ |
| + TaTS [ 15 ] | 2026 | ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | ✗ |
| DUET [ 16 ] | 2025 | ✗ | ✗ | ✓ | ✗ | ✓ | ✓ | ✗ | ✗ |
| Dataset | Horizon | Max-Sum | Random | Min-Sum | |||
| MSE | MAE | MSE | MAE | MSE | MAE | ||
| Flight | 96 | 0.144 | 0.248 | 0.145 | 0.249 | 0.144 | 0.248 |
| Weather | 96 | 0.147 | 0.188 | 0.145 | 0.186 | 0.145 | 0.185 |
| ETTm2 | 96 | 0.171 | 0.252 | 0.172 | 0.253 | 0.168 | 0.249 |
| Flight | 720 | 0.197 | 0.294 | 0.196 | 0.292 | 0.193 | 0.290 |
| ETTm2 | 720 | 0.396 | 0.396 | 0.394 | 0.393 | 0.393 | 0.391 |
| Datasets | Variates | RevIN | PRReg | Timestamps | Frequency |
| ETTm2 | 7 | 69680 | 15mins | ||
| ETTh2 | 7 | 17420 | 1h | ||
| Flight | 7 | 26304 | 1h | ||
| Weather | 21 | 52696 | 10mins | ||
| Traffic | 862 | 17544 | 1h | ||
| Electricity | 321 | 26304 | 1h |
| Models | MIDAPN | TimeFilter | VPNet | CPiRi | SEMixer | DUET | TimeKAN | FilterTS | TimePro | P-sLSTM | ModernTCN | TimeMixer | iTransformer | Time-LLM | MSGNet | PatchTST | TimesNet | |||||||||||||||||
| (Years) | (Ours) | (ICML’25) | (ICLR’26) | (ICLR’26) | (WWW’26) | (KDD’25) | (ICLR’25) | (AAAI’25) | (ICML’25) | (AAAI’25) | (ICLR’24) | (ICLR’24) | (ICLR’24) | (ICLR’24) | (AAAI’24) | (ICLR’23) | (ICLR’23) | |||||||||||||||||
| Metric | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE |
| ETT (Avg) | 0.318 | 0.353 | 0.318 | 0.359 | 0.334 | 0.365 | 0.332 | 0.367 | 0.318 | 0.363 | 0.326 | 0.361 | 0.330 | 0.364 | 0.324 | 0.359 | 0.329 | 0.365 | 0.336 | 0.371 | 0.329 | 0.361 | 0.329 | 0.365 | 0.336 | 0.369 | 0.332 | 0.366 | 0.342 | 0.373 | 0.334 | 0.366 | 0.352 | 0.380 |
| Flight | 0.161 | 0.262 | 0.161 | 0.268 | 0.161 | 0.269 | 0.160 | 0.268 | 0.160 | 0.267 | 0.163 | 0.271 | 0.179 | 0.289 | 0.165 | 0.269 | 0.164 | 0.272 | 0.171 | 0.281 | 0.172 | 0.282 | 0.172 | 0.274 | 0.180 | 0.292 | 0.179 | 0.291 | 0.208 | 0.321 | 0.163 | 0.275 | 0.191 | 0.304 |
| Weather | 0.235 | 0.259 | 0.239 | 0.269 | 0.246 | 0.275 | 0.253 | 0.276 | 0.256 | 0.281 | 0.251 | 0.273 | 0.243 | 0.272 | 0.244 | 0.274 | 0.251 | 0.276 | 0.261 | 0.283 | 0.245 | 0.273 | 0.245 | 0.275 | 0.258 | 0.278 | 0.263 | 0.284 | 0.249 | 0.278 | 0.259 | 0.281 | 0.259 | 0.287 |
| Traffic | 0.461 | 0.276 | 0.409 | 0.269 | 0.448 | 0.291 | 0.450 | 0.306 | 0.505 | 0.324 | 0.451 | 0.269 | 0.601 | 0.363 | 0.471 | 0.315 | 0.440 | 0.286 | 0.453 | 0.286 | 0.490 | 0.326 | 0.484 | 0.297 | 0.428 | 0.282 | 0.541 | 0.358 | 0.660 | 0.381 | 0.481 | 0.304 | 0.620 | 0.336 |
| Task Types | Multivariate | Multimodal | Multivariate + Text | |||||||
| Datasets | Electricity | Weather | Traffic | Energy | LEU | |||||
| Strategies | Avg | Drop | Avg | Drop | Avg | Drop | Avg | Drop | Avg | Drop |
| MIDAPN | 0.2135 | — | 0.2468 | — | 0.1963 | — | 0.2478 | — | 0.5665 | — |
| w/o DFF | 0.2389 | 11.89% | 0.2541 | 2.99% | 0.2122 | 8.06% | 0.2560 | 3.30% | 0.6233 | 10.03% |
| w/o MIDAG | 0.2384 | 11.65% | 0.2526 | 2.38% | 0.2113 | 7.64% | 0.2555 | 3.09% | 0.7015 | 23.83% |
| w/o SPConv | 0.2428 | 13.70% | 0.2546 | 3.19% | 0.2117 | 7.81% | 0.2508 | 1.21% | 0.5792 | 2.24% |
| Task Types | Multivariate | Multimodal | Multivariate + Text | |||||||
| Datasets | Solar | Weather | Climate | Agriculture | PTF | |||||
| Backbone & Models | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE |
| SageFormer [ 24 ] | 0.259 | 0.197 | 0.206 | 0.162 | 0.766 | 0.912 | 0.242 | 0.136 | 0.595 | 0.674 |
| (Transformer)+MIDAG | 0.235 | 0.189 | 0.198 | 0.161 | 0.762 | 0.909 | 0.240 | 0.131 | 0.548 | 0.635 |
| DLinear [ 56 ] | 0.236 | 0.312 | 0.255 | 0.196 | 0.765 | 0.920 | 0.304 | 0.194 | 0.953 | 1.454 |
| (Linear)+MIDAG | 0.229 | 0.190 | 0.218 | 0.164 | 0.748 | 0.902 | 0.286 | 0.152 | 0.568 | 0.628 |
| Datasets | Variates | RevIN | PRReg | Timestamps | Frequency | Properties | Date |
| ETTm2 | 7 | 69680 | 15mins | Volatility & Periodicity | 2016.7.1-2018.6.26 | ||
| ETTh2 | 7 | 17420 | 1h | Volatility & Periodicity | 2016.7.1-2018.6.26 | ||
| Flight | 7 | 26304 | 1h | Volatility | 2019.1.1-2021.12.31 | ||
| Weather | 21 | 52696 | 10mins | Fluctuation | 2020.1.1-2021.1.1 | ||
| Traffic | 862 | 17544 | 1h | Stable Periodicity | 2016.7.1-2018.7.2 | ||
| Electricity | 321 | 26304 | 1h | Stable Periodicity | 2016.7.1-2019.7.2 |
| MIDAPN -nonloss | MIDAPN -loss-0.001 | MIDAPN -loss-0.01 | ||||
| Dataset | MSE | MAE | MSE | MAE | MSE | MAE |
| Agriculture | 0.1314 | 0.2317 | 0.1315 | 0.2320 | 0.1323 | 0.2334 |
| Climate | 0.9061 | 0.7618 | 0.9059 | 0.7617 | 0.9116 | 0.7638 |
| Energy | 0.1834 | 0.3359 | 0.1968 | 0.3436 | 0.1877 | 0.3407 |
| Environment | 0.2691 | 0.3677 | 0.2694 | 0.3719 | 0.2691 | 0.3682 |
| Health | 0.8322 | 0.6260 | 0.8365 | 0.6287 | 0.8716 | 0.6423 |
| Dataset | Model | MSE | MAE |
| Multivariate datasets | |||
| ETTh2 | MIDAPN | ||
| ETTm2 | MIDAPN | ||
| Flight | MIDAPN | ||
| Weather | MIDAPN | ||
| PEMS03 | MIDAPN | ||
| Dataset | Metric | Text-Embedding Dimension | |||||
| 4 | 8 | 12 | 24 | 48 | 96 | ||
| Climate | MSE | 0.910 | 0.910 | 0.890 | 0.905 | 0.906 | 0.907 |
| MAE | 0.766 | 0.765 | 0.757 | 0.763 | 0.763 | 0.764 | |
| Energy | MSE | 0.182 | 0.176 | 0.172 | 0.178 | 0.178 | 0.177 |
| MAE | 0.330 | 0.327 | 0.324 | 0.327 | 0.328 | 0.327 | |
| Environment | MSE | 0.269 | 0.268 | 0.267 | 0.268 | 0.270 | 0.270 |
| Models | MIDAPN | TimeFilter | VPNet | CPiRi | SEMixer | DUET | TimeKAN | FilterTS | TimePro | P_sLSTM | ModernTCN | TimeMixer | iTransformer | TimeLLM | MGSNET | PatchTST | TimesNet | ||||||||||||||||||
| (Years) | (Ours) | (2025) | (2026) | (2026) | (2026) | (2025) | (2025) | (2025) | (2025) | (2025) | (2024) | (2024) | (2024) | (2024) | (2024) | (2023) | (2023) | ||||||||||||||||||
| Metric | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | |
| ETTm2 | 96 | 0.168 | 0.250 | 0.169 | 0.255 | 0.173 | 0.254 | 0.178 | 0.259 | 0.176 | 0.262 | 0.174 | 0.255 | 0.174 | 0.255 | 0.172 | 0.255 | 0.178 | 0.260 | 0.181 | 0.267 | 0.175 | 0.256 | 0.174 | 0.258 | 0.180 | 0.264 | 0.178 | 0.262 | 0.177 | 0.262 | 0.175 | 0.259 | 0.187 | 0.267 |
| 192 | 0.230 | 0.294 | 0.235 | 0.299 | 0.247 | 0.305 | 0.245 | 0.305 | 0.243 | 0.310 | 0.243 | 0.302 | 0.239 | 0.299 | 0.237 | 0.299 | 0.242 | 0.303 | 0.250 | 0.312 | 0.239 | 0.298 | 0.239 | 0.302 | 0.250 | 0.309 | 0.243 | 0.304 | 0.247 | 0.307 | 0.241 | 0.302 | 0.249 | 0.309 | |
| 336 | 0.295 | 0.330 | 0.293 | 0.336 | 0.322 | 0.349 | 0.306 | 0.344 | 0.306 | 0.351 | 0.304 | 0.341 | 0.301 | 0.340 | 0.299 | 0.398 | 0.303 | 0.342 | 0.315 | 0.353 | 0.298 | 0.336 | 0.296 | 0.340 | 0.311 | 0.348 | 0.308 | 0.345 | 0.312 | 0.346 | 0.305 | 0.343 | 0.321 | 0.351 | |
| 720 | 0.391 | 0.389 | 0.390 | 0.393 | 0.430 | 0.412 | 0.403 | 0.401 | 0.407 | 0.416 | 0.399 | 0.397 | 0.395 | 0.396 | 0.397 | 0.394 | 0.400 | 0.399 | 0.418 | 0.413 | 0.401 | 0.395 | 0.393 | 0.397 | 0.412 | 0.407 | 0.408 | 0.407 | 0.414 | 0.403 | 0.402 | 0.400 | 0.408 | 0.403 | |
| Models | MIDAPN | TimeFilter | VPNet | CPiRi | SEMixer | DUET | TimeKAN | FilterTS | TimePro | P_sLSTM | ModernTCN | TimeMixer | iTransformer | TimeLLM | MGSNET | PatchTST | TimesNet | ||||||||||||||||||
| (Years) | (Ours) | (2025) | (2026) | (2026) | (2026) | (2025) | (2025) | (2025) | (2025) | (2025) | (2024) | (2024) | (2024) | (2024) | (2024) | (2023) | (2023) | ||||||||||||||||||
| Metric | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | |
| Pems03 | 12 | 0.060 | 0.161 | 0.067 | 0.169 | 0.066 | 0.170 | 0.077 | 0.190 | 0.081 | 0.191 | 0.064 | 0.166 | 0.093 | 0.206 | 0.094 | 0.202 | 0.076 | 0.180 | 0.077 | 0.183 | 0.069 | 0.174 | 0.076 | 0.188 | 0.071 | 0.174 | 0.095 | 0.208 | 0.078 | 0.187 | 0.099 | 0.216 | 0.085 | 0.192 |
| 24 | 0.076 | 0.181 | 0.085 | 0.192 | 0.090 | 0.201 | 0.097 | 0.213 | 0.122 | 0.236 | 0.081 | 0.186 | 0.155 | 0.269 | 0.112 | 0.222 | 0.101 | 0.210 | 0.109 | 0.219 | 0.093 | 0.203 | 0.113 | 0.226 | 0.093 | 0.201 | 0.135 | 0.248 | 0.108 | 0.218 | 0.142 | 0.259 | 0.118 | 0.223 | |
| 48 | 0.103 | 0.211 | 0.126 | 0.236 | 0.138 | 0.252 | 0.140 | 0.253 | 0.195 | 0.302 | 0.114 | 0.222 | 0.236 | 0.337 | 0.160 | 0.265 | 0.137 | 0.248 | 0.163 | 0.270 | 0.141 | 0.250 | 0.191 | 0.292 | 0.125 | 0.236 | 0.198 | 0.302 | 0.178 | 0.272 | 0.211 | 0.319 | 0.155 | 0.260 | |
| 96 | 0.143 | 0.248 | 0.173 | 0.283 | 0.201 | 0.311 | 0.174 | 0.289 | 0.255 | 0.354 | 0.175 | 0.283 | 0.306 | 0.399 | 0.208 | 0.307 | 0.184 | 0.292 | 0.209 | 0.309 | 0.208 | 0.306 | 0.288 | 0.363 | 0.164 | 0.275 | 0.243 | 0.342 | 0.238 | 0.328 | 0.269 | 0.370 | 0.228 | 0.317 | |
| Models | MIDAPN | TimeFilter | VPNet | CPiRi | SEMixer | DUET | TimeKAN | FilterTS | TimePro | P_sLSTM | ModernTCN | TimeMixer | iTransformer | TimeLLM | MGSNET | PatchTST | TimesNet | ||||||||||||||||||
| (Years) | (Ours) | (2025) | (2026) | (2026) | (2026) | (2025) | (2025) | (2025) | (2025) | (2025) | (2024) | (2024) | (2024) | (2024) | (2024) | (2023) | (2023) | ||||||||||||||||||
| Metric | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | |
| Agriculture | 8 | 0.080 | 0.182 | 0.083 | 0.191 | 0.082 | 0.188 | 0.079 | 0.182 | 0.083 | 0.189 | 0.099 | 0.220 | 0.107 | 0.220 | 0.082 | 0.185 | 0.082 | 0.195 | 0.084 | 0.187 | 0.080 | 0.180 | 0.107 | 0.221 | 0.078 | 0.187 | 0.081 | 0.187 | 0.084 | 0.194 | 0.080 | 0.188 | 0.086 | 0.202 |
| 10 | 0.102 | 0.207 | 0.105 | 0.213 | 0.103 | 0.211 | 0.102 | 0.210 | 0.103 | 0.211 | 0.105 | 0.221 | 0.124 | 0.238 | 0.105 | 0.210 | 0.105 | 0.216 | 0.109 | 0.214 | 0.103 | 0.208 | 0.121 | 0.234 | 0.101 | 0.210 | 0.106 | 0.214 | 0.112 | 0.229 | 0.104 | 0.214 | 0.104 | 0.216 | |
| 12 | 0.131 | 0.232 | 0.134 | 0.237 | 0.131 | 0.236 | 0.135 | 0.244 | 0.134 | 0.236 | 0.134 | 0.239 | 0.154 | 0.261 | 0.133 | 0.238 | 0.133 | 0.241 | 0.137 | 0.238 | 0.136 | 0.234 | 0.149 | 0.262 | 0.132 | 0.235 | 0.137 | 0.240 | 0.141 | 0.248 | 0.133 | 0.240 | 0.136 | 0.248 | |
| Average | 0.104 | 0.207 | 0.107 | 0.214 | 0.105 | 0.212 | 0.105 | 0.212 | 0.107 | 0.212 | 0.113 | 0.227 | 0.128 | 0.240 | 0.107 | 0.211 | 0.107 | 0.217 | 0.110 | 0.213 | 0.106 | 0.207 | 0.126 | 0.239 | 0.104 | 0.211 | 0.108 | 0.214 | 0.112 | 0.224 | 0.106 | 0.214 | 0.109 | 0.222 | |
| Models | MIDAPN | GTM | SE-LLM | CORA | Aurora | DualSG | Time-VLM | SEMPO | Sundial | CALF | MOIRAI | ||||||||||||
| (Years) | (Ours) | (2026) | (2026) | (2026) | (2026) | (2025) | (2025) | (2025) | (2025) | (2025) | (2024) | ||||||||||||
| Metric | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | |
| Weather | 96 | 0.140 | 0.179 | 0.147 | 0.197 | 0.150 | 0.200 | 0.149 | 0.194 | 0.160 | 0.207 | 0.156 | 0.201 | 0.148 | 0.200 | 0.154 | 0.205 | 0.157 | 0.205 | 0.160 | 0.208 | 0.199 | 0.211 |
| 192 | 0.190 | 0.228 | 0.192 | 0.241 | 0.194 | 0.243 | 0.193 | 0.237 | 0.202 | 0.247 | 0.196 | 0.239 | 0.193 | 0.240 | 0.198 | 0.246 | 0.205 | 0.251 | 0.205 | 0.252 | 0.246 | 0.251 | |
| 336 | 0.245 | 0.275 | 0.250 | 0.291 | 0.247 | 0.285 | 0.240 | 0.274 | 0.252 | 0.288 | 0.248 | 0.280 | 0.243 | 0.281 | 0.249 | 0.285 | 0.253 | 0.289 | 0.253 | 0.288 | 0.274 | 0.291 | |
| 720 | 0.316 | 0.328 | 0.310 | 0.334 | 0.323 | 0.339 | 0.313 | 0.322 | 0.307 | 0.327 | 0.323 | 0.334 | 0.312 | 0.332 | 0.321 | 0.337 | 0.320 | 0.336 | 0.329 | 0.341 | 0.337 | 0.340 | |
| Models | MIDAPN | Aurora | SE-LLM | VoT | Time-VLM | CALF | ChatTime | GPT4MTS | MM-TSFLib | ||||||||||
| (Years) | (Ours) | (2026) | (2026) | (2026) | (2025) | (2025) | (2025) | (2024) | (2024) | ||||||||||
| Metric | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | MSE | MAE | |
| Traffic | 8 | 0.157 | 0.224 | 0.158 | 0.286 | 0.172 | 0.229 | 0.167 | 0.231 | 0.212 | 0.313 | 0.176 | 0.232 | 0.257 | 0.347 | 0.195 | 0.256 | 0.195 | 0.250 |
| 12 | 0.176 | 0.236 | 0.168 | 0.294 | 0.191 | 0.232 | 0.181 | 0.239 | 0.222 | 0.322 | 0.193 | 0.243 | 0.261 | 0.349 | 0.218 | 0.268 | 0.261 | 0.272 | |
| Average | 0.167 | 0.230 | 0.163 | 0.290 | 0.182 | 0.231 | 0.174 | 0.235 | 0.217 | 0.318 | 0.185 | 0.238 | 0.259 | 0.348 | 0.207 | 0.262 | 0.228 | 0.261 | |
| Health | 24 | 0.958 | 0.648 | 1.332 | 0.796 | 1.232 | 0.774 | 1.210 | 0.707 | 1.491 | 0.839 | 1.451 | 0.749 | 1.758 | 0.888 | 1.513 | 0.802 | 1.562 | 0.768 |