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Divyesh Rameshbhai Dhanani1, Faraz Kayani1, Saif U Din1
1Computer Vision Lab, Center for Artificial Intelligence and Data Science (CAIDAS) and Institute of Computer Science (IFI), University of Würzburg, John-Skilton-Straße 4a, 97074 Würzburg, Germany.
Abstract:
Deploying deep vision models on edge hardware requires understanding how architecture and training hyperparameters jointly determine accuracy and inference latency, yet these relationships remain poorly characterized in a systematic, data-driven manner. This paper presents a two-stage statistical framework providing interpretable, closed-form insights into both. In the first stage, we apply distance correlation (dCor) and the maximal information coefficient (MIC) across seven image-classification datasets, revealing that batch size and total layer count are the strongest universal accuracy predictors (mean dCor: 0.228 and 0.174), while learning rate achieves the highest MIC (0.226), reflecting a non-monotonic relationship with accuracy. In the second stage, PySR symbolic regression (representing, to our knowledge, the first application to cross-dataset vision model accuracy prediction) derives compact, interpretable formulas. Dataset-specific models achieve R2 from 0.20 to 0.45; a universal model achieves a mean leave-one-dataset-out R2 of 0.23, remaining strictly positive on all held-out datasets, whereas ordinary linear regression collapses to R2=-0.71. We further derive device-specific inference latency formulas for CPU, GPU, and NPU, outperforming classical baselines by 6.7×-14.8× in R2 and confirming fundamental device heterogeneity. Together, these results offer interpretable surrogate models for screening deep vision architectures under accuracy and latency constraints in edge deployment.
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