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FDSML: Formula-Driven Supervised Metric Learning with Parameter-Aware Triplet Loss

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FDSML pre-trains vision models without real images by using fractal generation parameters as supervision. Fractals with more similar Iterated Function System parameters are meant to lie closer in embedding space, and this ordering is turned into triplets via a Parameter-Aware Triplet loss. The method pairs a refined fractal dataset, FineFractalDB, with this loss. Reported results show improved image retrieval transfer and robustness under corruptions, with competitive downstream classification.

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What the source says

FDSML pre-trains vision models without real images by using fractal generation parameters as supervision. Fractals with more similar Iterated Function System parameters are meant to lie closer in embedding space, and this ordering is turned into triplets via a Parameter-Aware Triplet loss. The method pairs a refined fractal dataset, FineFractalDB, with this loss. Reported results show improved image retrieval transfer and robustness under corruptions, with competitive downstream classification.

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Key findings from the stored brief

  • FDSML derives relational supervision from fractal generation parameters rather than discrete class labels.
  • PA-Triplet Loss assigns positives and negatives by distances in Iterated Function System parameter space.
  • On ResNet-50, Recall@1 rose from 65.6% to 74.0% on Stanford Online Products over FDSL pre-training.
  • On ResNet-50, Recall@1 rose from 56.2% to 78.4% on Stanford Cars over FDSL pre-training.
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