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FDSML

Official models and data for FDSML: Formula-Driven Supervised Metric Learning with Parameter-Aware Triplet Loss (WACV 2027).

Hina Otake*, Shinei Arakawa*, Keitaro Tanaka*, Yoshihiro Fukuhara, Hirokatsu Kataoka, Shigeo Morishima (*equal contribution)

FDSML pre-trains vision models on synthetic fractal images only, without any natural images. Every image in FineFractalDB is paired with the parameters that generated it, and the Parameter-Aware Triplet Loss uses these parameters to shape the embedding space. With ResNet-50, FDSML raises Recall@1 over FDSL pre-training from 65.6% to 74.0% on Stanford Online Products and from 56.2% to 78.4% on Stanford Cars, while staying competitive on classification.

Dataset

  • FineFractalDB: 1,000 IFS classes × 1,000 images with per-image rendering parameters.

Pre-trained models

FDSML models for each architecture and triplet selection strategy (all / each / same / diff, see the paper):

Architecture all each same diff
ResNet-50 resnet50-all resnet50-each resnet50-same resnet50-diff
ViT-Tiny (DeiT-Tiny/16, 224) vittiny-all vittiny-each vittiny-same vittiny-diff
ViT-Base (DeiT-Base/16, 224) vitbase-all vitbase-each vitbase-same vitbase-diff

All checkpoints are plain PyTorch files and are loaded with the official code.

Citation

@inproceedings{Otake2027fdsml,
  title     = {FDSML: Formula-Driven Supervised Metric Learning with Parameter-Aware Triplet Loss},
  author    = {Hina Otake and Shinei Arakawa and Keitaro Tanaka and Yoshihiro Fukuhara and Hirokatsu Kataoka and Shigeo Morishima},
  booktitle = {Proceedings of the IEEE/CVF Winter Conference on Applications of Computer Vision (WACV)},
  year      = {2027},
}