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Measuring deep learning performance - an empirical study of performance distributions across architectures and tasks
Kevin L Coakley1,2, Odd Erik Gundersen3
1Department of Computer Science, Norwegian University of Science and Technology, Trondheim, Norway. kcoakley@sdsc.edu.
Scientific Reports
|May 4, 2026
Summary
Non-determinism in deep learning creates performance variations. Analyzing these performance distributions, not just averages, is crucial for assessing model robustness and ensuring Trustworthy AI, especially in time series forecasting.
Area of Science:
- Artificial Intelligence
- Machine Learning
- Deep Learning
Background:
- Non-determinism in deep learning algorithms causes performance variations, resulting in performance distributions rather than single values.
- These performance distributions are critical for model robustness but remain underexplored in current research.
Purpose of the Study:
- To investigate the robustness of deep learning model performance to non-determinism across different architectures and tasks.
- To analyze how performance distributions vary and quantify robustness using spread, symmetry, and tail risk metrics.
Main Methods:
- Conducted 186 experiments on image classification (ResNet, ViT) and time series forecasting (Autoformer, iTransformer, NLinear, TSMixer) architectures.
- Ran each experiment 100 times with different random seeds, generating 18,600 total runs to create performance distributions.
Main Results:
- Performance distributions are often non-Gaussian, particularly in time series forecasting.
- Time series models exhibit significantly higher tail risk (underperforming outliers) compared to image classification models.
- Model size and training duration do not systematically predict robustness; early stopping can balance performance and robustness.
Conclusions:
- Mean performance is an insufficient metric for model selection; distributional analysis (spread, symmetry, tail risk) is essential for reliable assessment.
- High tail risk in time series forecasting poses challenges for Trustworthy AI in critical applications.
- Understanding performance distributions is vital for developing robust and reliable deep learning models.
