Electricity market prices exhibit extreme volatility, nonlinearity, and non-stationarity, making accurate forecasting a significant challenge. While cutting-edge time series foundation models (TSFMs) effectively capture temporal dependencies, they typically underutilize cross-variate correlations and non-periodic patterns that are essential for price forecasting. Conversely, regression models excel at capturing feature interactions but are limited to future-available inputs, ignoring crucial historical drivers that are unavailable at forecast time. To bridge this gap, we propose FutureBoosting, a novel paradigm that enhances regression-based forecasts by integrating forecasted features generated from a frozen TSFM. This approach leverages the TSFM's ability to model historical patterns and injects these insights as enriched inputs into a downstream regression model. We instantiate this paradigm into a lightweight, plug-and-play framework for electricity price forecasting. Extensive evaluations on real-world electricity market data demonstrate that our framework consistently outperforms state-of-the-art TSFMs and regression baselines, achieving reductions in Mean Absolute Error (MAE) of more than 30% at most. Through ablation studies and explainable AI (XAI) techniques, we validate the contribution of forecasted features and elucidate the model's decision-making process. FutureBoosting establishes a robust, interpretable, and effective solution for practical market participation, offering a general framework for enhancing regression models with temporal context.
Figures & tables
Figure 1. Electricity price characteristics in the Shanxi spot market (15-min). (a) Day-ahead vs real-time forecasts in a representative October 2025 window. (b) Price distribution over the full year 2025, showing heavy tails and extremes.
Indicator
Day-ahead
Real-time
Gaussian
Tail ratio p99/p50
4.86
5.33
≈ 2 (1.5–2.5)
Extreme freq. P(p>1000)
5.45%
5.88%
≈ 0% ( < 0.1%)
Excess kurtosis
5.05
5.39
0
Jump size p99(∣Δp∣)
399.8
439.9
≈200(2.576×σΔp)
Jump freq. P(∣Δp∣>200)
2.92%
3.33%
≈ 1% (0.5–1.5%)
Table 1. Key difficulty indicators of Shanxi electricity prices in 2025. Higher values indicate more challenging dynamics.
Figure 2. Illustration of electricity market trading background. Suppliers and consumers must provide day-ahead plans for day D+1 on day D . More accurate forecasts from the AI model improve the trading plan’s foresight, yielding greater benefits.
Figure 3. Comparison of forecasting paradigms. Our FutureBoosting paradigm first forecasts future-unavailable exogenous variables using TSFM, then uses these augmented features, along with future-available exogenous variables, for regression-based target forecasting.
Figure 4. The pipeline of our FutureBoosting framework for electricity price forecasting. TSFM-augmented features, future available exogenous variables, and the grid production plan form an enriched feature set for downstream regression models.
Method
Day-ahead
Real-time
MSE
MAE
MSE
MAE
Val
Δ LGBM
Δ ZS
Val
Δ LGBM
Δ ZS
Val
Δ LGBM
Δ ZS
Val
Δ LGBM
Δ ZS
LGBM (ic27)
35658.52
0.00%
–
100.53
0.00%
–
49182.67
0.00%
–
121.63
0.00%
–
TimerXL
76278.90
-113.91%
–
162.69
-61.83%
–
86353.72
-75.58%
–
171.63
-41.11%
–
+ FutureBoosting
33978.45
+4.71%
+55.45%
94.78
+5.72%
+41.74%
44522.21
+9.48%
+48.44%
117.10
+3.72%
+31.77%
Sundial
62979.60
-76.62%
–
143.60
-42.84%
–
72219.22
-46.84%
–
154.30
-26.86%
–
Table 2. China 12-month summary (Day-ahead on the left; Real-time on the right). For each metric: Val is the raw score; Δ LGBM is the improvement vs LGBM (ic27); Δ ZS is the improvement of FutureBoosting vs its corresponding zero-shot TSFM.
Method
FR_24
DE_24
MSE
MAE
MSE
MAE
Val
Δ Linear
Δ ZS
Val
Δ Linear
Δ ZS
Val
Δ Linear
Δ ZS
Val
Δ Linear
Δ ZS
Linear
22.33
0.00%
–
2.79
0.00%
–
13.63
0.00%
–
2.55
0.00%
–
TimerXL
4.41
+80.25%
–
1.37
+50.86%
–
3.00
+77.99%
–
1.21
+52.48%
–
+ FutureBoosting
3.66
+83.61%
+16.98%
1.26
+54.81%
+7.72%
1.85
+86.43%
+38.40%
0.95
+62.69%
+21.36%
Sundial
4.00
+82.09%
–
1.29
+53.73%
–
4.23
+68.96%
–
1.42
+44.23%
–
Table 3. Real-E 24-step summary (FR on the left; DE on the right). For each metric: Val is the raw score; Δ Linear is the improvement vs Regression-only Linear; Δ ZS is the improvement of FutureBoosting vs its corresponding zero-shot TSFM.
Dataset
Chronos2 + Linear
Chronos2 + LGBM
Gain
MSE
MAE
MSE
MAE
(best)
Shanxi (DA)
41165.74
128.01
34344.18
94.90
LGBM
Shanxi (RT)
50634.74
142.88
46697.19
118.93
LGBM
RealE (FR)
2.90
1.11
6.21
1.90
Linear
RealE (DE)
1.49
0.87
2.13
0.97
Linear
Table 4. Regressor choice ablation with the same TSFM backbone (Chronos2).
Figure 5. Adaptation study on Shanxi day-ahead forecasting. We compare zero-shot inference, LoRA fine-tuning, and FutureBoosting regression, with and without future-available exogenous variables.
Method
GPUs
GPU Mem (MB)
Total Time (s)
FutureBoosting
1 × 4090
11049.85
151.57
FutureBoosting (cached)
CPU only
0.00
59.24
Fine-tuning
4 × 4090
24518.00
8867.00
Table 5. Efficiency comparison on Shanxi day-ahead (per monthly window).
Figure 6. Application of FutureBoosting in Xingzhixun’s IoTDB business server.
Figure 7. Sample SHAP explanations on deployed data. The TSFM-based feature derived from Chronos2 is highlighted.
Appendix figures & tables8 assets
Supplementary material from the paper’s appendix.
Appendix
Indicator
Day-ahead
Real-time
Tail ratio p99/p50
4.86
5.33
Extreme freq. P(p>1000)
5.45%
5.88%
Excess kurtosis
5.05
5.39
Jump size p99(∣Δp∣)
399.8
439.9
Jump freq. P(∣Δp∣>200)
2.92%
3.33%
Drift (KS max , m/m − 1)
0.477
0.487
Appendix
Table 6. Key difficulty indicators of Shanxi electricity prices in 2025. Higher values indicate more challenging dynamics.
Table 7. The set of 27 future-available exogenous variables (ic27) used as direct inputs to the regressor on the Shanxi dataset.
FR
Variables (15)
DE
Variables (19)
System / load
genf_Scheduled Generation ntc_Net Position total_Day-ahead Total Load Forecast total_Actual Total Load
System / load
genf_Scheduled Generation ntc_Net Position total_Actual Total Load
Fuel-type generation
Biomass – Actual Aggregated Fossil Gas – Actual Aggregated Fossil Hard coal – Actual Aggregated Fossil Oil – Actual Aggregated Hydro Pumped Storage – Actual Aggregated Hydro Run-of-river and poundage – Actual Aggregated Hydro Water Reservoir – Actual Aggregated Nuclear – Actual Aggregated Solar – Actual Aggregated Waste – Actual Aggregated Wind Onshore – Actual Aggregated
Fuel-type generation
Biomass – Actual Aggregated Fossil Brown coal/Lignite – Actual Aggregated Fossil Gas – Actual Aggregated Fossil Hard coal – Actual Aggregated Fossil Oil – Actual Aggregated Geothermal – Actual Aggregated Hydro Pumped Storage – Actual Aggregated Hydro Run-of-river and poundage – Actual Aggregated Hydro Water Reservoir – Actual Aggregated Nuclear – Actual Aggregated Other renewable – Actual Aggregated Solar – Actual Aggregated Waste – Actual Aggregated Wind Offshore – Actual Aggregated Wind Onshore – Actual Aggregated Other – Actual Aggregated
Appendix
Table 8. Exogenous variables used for direct regression on RealE.
Figure 8. Global SHAP explanations on the test split. The Chronos2-derived forecast feature is highlighted to distinguish TSFM-predicted drivers from other exogenous variables.
Figure 9. Global SHAP explanations on the test split. The Chronos2-derived forecast feature is highlighted to distinguish TSFM-predicted drivers from other exogenous variables.
Figure 10. Additional sample SHAP explanations on deployed data. The TSFM-based feature derived from Chronos2 is highlighted.
Window
Type
TimerXL
Sundial
Chronos2 (mv)
Chronos2 (future)
TimesFM
Moirai2
TiRex
MSE
MAE
MSE
MAE
MSE
MAE
MSE
MAE
MSE
MAE
MSE
MAE
MSE
MAE
202501
ZS
96031.92
195.56
77180.33
163.32
89610.94
175.98
66888.00
159.64
73564.20
160.36
81880.01
166.92
79950.36
161.65
FBR
28336.35
89.36
21958.62
84.95
18692.07
77.39
20340.07
87.74
20774.21
79.08
19424.70
80.66
20981.86
83.95
202502
ZS
134084.19
237.77
121219.58
220.57
114767.00
220.21
92523.61
211.76
126918.32
213.88
123831.87
222.76
121434.01
210.61
FBR
40757.15
110.22
45136.53
123.09
44370.32
120.87
48430.27
125.53
44246.05
116.91
48259.19
119.29
43017.85
118.11
202503
ZS
93755.35
196.24
80372.27
185.39
78314.09
172.93
66959.59
161.66
97939.16
180.96
90217.22
173.04
95215.36
165.77
Appendix
Table 9. Shanxi Day-Ahead 12-month window-wise results comparing zero-shot (ZS) TSFM-only forecasts and their corresponding FutureBoosting (FBR).
Window
Type
TimerXL
Sundial
Chronos2 (mv)
Chronos2 (future)
TimesFM
Moirai2
TiRex
MSE
MAE
MSE
MAE
MSE
MAE
MSE
MAE
MSE
MAE
MSE
MAE
MSE
MAE
202501
ZS
118895.21
217.91
97693.37
190.56
114730.62
199.96
99201.90
195.49
98345.31
188.98
114230.96
202.83
114310.87
198.35
FBR
23393.77
100.68
27793.07
107.87
28962.75
108.12
41628.91
127.75
31895.88
114.04
27384.44
106.69
34742.31
121.41
202502
ZS
120379.08
229.16
85619.59
181.18
90050.68
203.80
80630.58
209.08
98546.03
191.38
117523.33
222.87
97648.07
179.53
FBR
32541.10
119.51
36259.24
126.50
38276.06
124.70
37569.89
123.42
32796.34
116.31
35840.88
115.25
38160.78
117.90
202503
ZS
107854.53
206.39
95016.02
202.85
88038.66
191.04
77018.86
187.73
111121.30
196.46
102835.81
195.97
109298.64
178.06
Appendix
Table 10. Shanxi Real-time 12-month window-wise results comparing zero-shot (ZS) TSFM-only forecasts and their corresponding FutureBoosting (FBR).
Foundation models promise accurate forecasts with little or no task-specific training, but whether they can replace models designed specifically for electricity price forecasting remains unclear. We compare nine variants from five foundation model families, evaluated in zero-shot mode, with two state-of-the-art electricity price forecasting benchmarks in Germany, Poland, and Spain over 2021-2025. Their performance is assessed in terms of point and probabilistic forecasting accuracy, as well as economic value in battery energy storage arbitrage. Only the TabPFN models consistently and significantly outperform the benchmarks across all three markets and all statistical measures. However, this statistical dominance does not translate directly into economic dominance: TabPFN performs best under unlimited bids and riskier quantile-based strategies, whereas the Distributional Deep Neural Network benchmark is more profitable when risk tolerance is lower. Thus, foundation models cannot universally replace market-specific models, and their value depends on both model architecture and the decision problem.
Arkadiusz Lipiecki, Rafał Weron
Department of Computational Social Science, Wrocław University of Science and Technology, Poland · Department of Operations Research and Business Intelligence, Wrocław University of Science and Technology, Poland · Center for Research in Energy (CoRE), Aarhus University, 8000 Aarhus C, Denmark
Time series foundation models (TSFMs) have shown strong zero-shot forecasting performance, but their generalization in covariate-driven, non-stationary settings is underexplored. Electricity price forecasting (EPF) presents a challenging testbed due to complex temporal dependencies, distributional shifts, and strong reliance on structural and contextual information. We propose a two-dataset-benchmarking framework for EPF to mitigate contamination risk and enable fair evaluation of TSFMs. We examine key aspects of EPF including point and probabilistic forecasting performance, tail behavior, price spikes, and comparisons against domain-specific methods. We find that TSFMs are highly competitive and often outperform general-purpose baselines. Yet, their performance depends critically on covariate support, and they do not consistently surpass domain-specific methods tailored to EPF. Interestingly, simple ensembles of TSFMs and domain-specific methods appear to have significant potential, suggesting that the two approaches capture complementary predictive information.
Zhenghua Pan, Ahmed Aziz Ezzat
Department of Industrial & Systems Engineering, Rutgers, The State University of New Jersey, USA.
Large-scale renewable energy deployment introduces pronounced volatility into the electricity system, turning grid operation into a complex stochastic optimization problem. Accurate electricity price forecasting (EPF) is essential not only to support operational decisions, such as optimal bidding strategies and balancing power preparation, but also to reduce economic risk and improve market efficiency. Probabilistic forecasts are particularly valuable because they quantify uncertainty stemming from renewable intermittency, market coupling, and regulatory changes, enabling market participants to make informed decisions that minimize losses and optimize expected revenues. However, it remains an open question which models to employ to produce accurate forecasts. Should these be task-specific machine learning (ML) models or Time Series Foundation Models (TSFMs)? In this work, we compare four models for day-ahead probabilistic EPF (PEPF) in European bidding zones: a deterministic NHITS backbone with Quantile-Regression Averaging (NHITS+QRA) and a conditional Normalizing-Flow forecaster (NF) are compared with two TSFMs, namely Moirai and ChronosX. On the one hand, we find that TSFMs outperform task-specific deep learning models trained from scratch in terms of CRPS, Energy Score, and predictive interval calibration across market conditions. On the other hand, we find that well-configured task-specific models, particularly NHITS combined with QRA, achieve performance very close to TSFMs, and in some scenarios, such as when supplied with additional informative feature groups or adapted via few-shot learning from other European markets, they can even surpass TSFMs. Overall, our findings show that while TSFMs offer expressive modeling capabilities, conventional models remain highly competitive, emphasizing the need to weigh computational expense against marginal performance improvements in PEPF.
Jan Niklas Lettner, Hadeer El Ashhab, Veit Hagenmeyer +1
Karlsruhe Institute of Technology · Karlsruhe, Germany