Time series forecasting supports decision-making in web applications such as online retail and network management, where planned actions can reshape future dynamics. World models provide a natural paradigm for predicting such action-dependent changes beyond extrapolating historical patterns. However, existing time series world models (TSWMs) typically rely on fixed, domain-specific covariate schemas that limit flexible intervention specification, while multimodal forecasters treat text primarily as passive predictive context. To investigate these gaps, we introduce TSWM-Bench, a cross-domain benchmark for multimodal TSWMs spanning seven real-world datasets, with textual interventions grounded in recorded action--outcome data. Our evaluation reveals that conventional multimodal forecasters underperform history-only time series foundation models (TSFMs) despite dataset-specific training, whereas simple text-prefix adaptations improve forecasting across all evaluated TSFM backbones. These findings suggest that pretrained TSFMs encode implicit world knowledge of temporal dynamics, offering a strong foundation for action-conditioned modeling beyond conventional multimodal fusion. Building on this insight, we propose TimeWorld, a plug-in framework that adapts pretrained TSFMs through explicit action-response modeling. Specifically, the Prototype-Guided Latent Modulation (PLM) module grounds textual actions in temporal dynamics by composing representative response prototypes to modulate future representations based on the action and historical patterns. The Action Contrastive Learning (ACL) component strengthens action-specific response modeling by contrasting these updates under alternative interventions sharing the same history, distinguishing action types while preserving relative intensity relationships.
Figures & tables
Study
Action- Conditioned
Action Format
Real-world Action
Multi- domain
Multimodal TSF
Time-MMD ( Liu et al., 2024a )
✗
–
–
✔
CiK ( Williams et al., 2025 )
✗
–
–
✔
Structured TSWM
MobiWM ( Qi et al., 2026 )
✔
Covariates
✗
✗
CEDAR ( Meng et al., 2026 )
✔
Covariates
✔
✗
Table 1. Comparison of benchmarks.
Model
nMAE ↓
nRMSE ↓
MASE ↓
Rank ↓
TimesFM 3.0
1.0540
1.2087
3.5023
8.33
Chronos-2
1.0237
1.1695
3.4948
5.00
Toto 2.0
1.0257
1.1730
3.4923
5.33
Moirai 2.0
1.0329
1.1759
3.4996
7.00
Time-LLM
1.4213
1.5774
4.6371
12.67
MM-TSFlib
1.1301
1.2530
3.8602
11.00
Table 2. Averaged forecasting performance across seven datasets. Rank is the mean rank over the three metrics. The best and second-best results in each column are shown in red and blue , respectively.
Figure 1. Overview of TimeWorld.
Dataset
Metric
TimesFM 3.0
Chronos-2
Toto 2.0
Moirai 2.0
Vanilla
TSFM++
TimeWorld
Vanilla
TSFM++
TimeWorld
Vanilla
TSFM++
TimeWorld
Vanilla
TSFM++
TimeWorld
M5
nMAE
1.1612
0.9658
0.9803
0.8784
1.0204
0.9829
0.8705
0.9255
0.9917
0.8602
0.9788
1.0219
nRMSE
1.7597
1.3084
1.2997
1.4231
1.2914
1.2991
1.4190
1.3742
1.3102
1.4071
1.3476
1.3002
MASE
2.4538
2.0766
2.1151
1.9042
2.2255
2.1294
1.8886
1.9649
2.0875
1.8606
2.1473
2.1837
MOF
nMAE
0.7793
0.7787
0.8153
0.8019
0.7569
0.7347
0.7673
0.7908
0.7638
0.7235
0.7414
0.7527
nRMSE
0.8066
0.8012
0.8402
0.8286
0.7845
0.7604
0.7958
0.8178
0.7923
0.7488
0.7677
0.7772
Table 3. Comparison results of four TSFM backbones. Vanilla performs zero-shot forecasting by TSFMs, and Overall averages the 13 settings across seven datasets. The best and second-best results of each metric are shown in red and blue , respectively. Underlining marks the best result for each TSFM backbone.
Figure 2. Ablation results of TimeWorld.
Figure 3. Parameter sensitivity of TimeWorld across four TSFM backbones, measured by nMAE.
Time series forecasting predicts future values from ordered observations using statistical, neural, and probabilistic models to support decisions under uncertainty.