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| license: mit | |
| library_name: pytorch | |
| pipeline_tag: unconditional-image-generation | |
| datasets: | |
| - cifar10 | |
| tags: | |
| - equilibrium-propagation | |
| - predictive-coding | |
| - energy-based-model | |
| - neuromorphic | |
| # PotentialEP checkpoints | |
| Checkpoints for [PotentialEP: Backprop-Free Training of CIFAR-Scale Generative Models via Equilibrium Propagation](https://arxiv.org/abs/2610.14409) (Alex Gower, 2026). Code: [github.com/alexgower/PotentialEP](https://github.com/alexgower/PotentialEP). | |
| Unconditional CIFAR-10, 50k samples, EMA weights, after the contrastive phase. | |
| | folder | model | gradient | params | FID | τ_s | | |
| |---|---|---|---|---|---| | |
| | `em_replication/` | Energy Matching (replication) | backprop | 50M | 3.54 | 3.25 | | |
| | `ift/` | PotentialEP | implicit solve (IFT) | 50M | 3.64 | 3.25 | | |
| | `ep/` | PotentialEP | EP | 50M | 3.64 | 3.25 | | |
| | `norm_attn_free/` | Energy Matching, norm- and attention-free | backprop | 78M | 3.51 | 5.0 | | |
| PotentialEP rows draw phase-2 contrastive negatives with a feedforward twin; see the paper. | |
| Each `phase1/` folder holds the checkpoint the contrastive phase started from (FID at τ_s = 1.0): | |
| | file | FID | note | | |
| |---|---|---| | |
| | `em_replication/phase1/checkpoint_145000.pt` | 6.42 | the checkpoint every correspondence diagnostic in the paper runs on | | |
| | `ift/phase1/checkpoint_145000.pt` | 6.70 | | | |
| | `ep/phase1/checkpoint_100000.pt` | 6.23 | what `ep/checkpoint.pt` phase-2 started from | | |
| | `ep/phase1/checkpoint_145000.pt` | 6.87 | the end of the EP phase-1 run | | |
| ## Usage | |
| Every file is a training checkpoint dict (`net_model`, `ema_model`, `sched`, `optim`, `step`) saved by the code repository's training scripts, so it loads directly with `--resume_ckpt`. All paper numbers use `ema_model` (`--use_ema`). The exact FID command for each checkpoint, including the relaxation settings for the PCN arms (the EP model is sampled with `--pcn_gamma=0.003`), is in [`checkpoints_main_arms/EXPLANATION.md`](https://github.com/alexgower/PotentialEP/tree/main/results_cifar10_pcn/in_paper/checkpoints_main_arms). | |
| ```bash | |
| hf download alexgower/PotentialEP ep/checkpoint.pt --local-dir ./ckpts | |
| ``` | |
| ## SHA256 | |
| | file | sha256 | | |
| |---|---| | |
| | `ep/checkpoint.pt` | `98a9884c81142bd21a5c8d2f1685da85b571616e52caa9e857a65e8dc61b6a4b` | | |
| | `ift/checkpoint.pt` | `58b8ea2d4b0fa904a4afb4de2b4bced992a9323f580c251071453cfdd6f06b06` | | |
| | `em_replication/checkpoint.pt` | `72e87f6d90e251a0990d61cd706248d27cb8c644e4bdb1b6631cd585661bf211` | | |
| | `norm_attn_free/checkpoint.pt` | `5b3141e436804b7f5db0bb580f6f624da65aead8485f49a6e84fc8926fc6db97` | | |
| | `ep/phase1/checkpoint_100000.pt` | `94ba3773f97567c9daef8a82f41f011c5e766054f4343efc495ccaf694d09325` | | |
| | `ep/phase1/checkpoint_145000.pt` | `67cc46749eb3b3cb762d5a3aa45abedff547442bf38421554307626428eb71fe` | | |
| | `ift/phase1/checkpoint_145000.pt` | `f67a5bc89416e357ae11eb3da394e6e5200b9a85011a0aa25c3086f7c83e9d46` | | |
| | `em_replication/phase1/checkpoint_145000.pt` | `cf69079e2e813b2a5083952075778fb1db4d5433693bb7eb4c86d714aa122464` | | |
| ## Citation | |
| ```bibtex | |
| @article{gower2026potentialep, | |
| title = {PotentialEP: Backprop-Free Training of CIFAR-Scale Generative Models via Equilibrium Propagation}, | |
| author = {Gower, Alex}, | |
| journal = {arXiv preprint arXiv:2610.14409}, | |
| year = {2026} | |
| } | |
| ``` | |