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---
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license: mit
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---
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license: mit
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tags:
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- jepa
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- vicreg
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- vit3d
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- physics
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- self-supervised
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- representation-learning
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datasets:
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- polymathic-ai/active_matter
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library_name: pytorch
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---
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# ViT3D-d6 / VICReg / FFT — `active_matter` (epoch 29)
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A 6-block 3D Vision Transformer pretrained with VICReg in a JEPA-style setup
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on the [`active_matter`](https://polymathic-ai.org/the_well/datasets/active_matter/)
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dataset from The Well. This checkpoint is the encoder weights at pretrain
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epoch 29 — the best-validation epoch in our sweep.
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The encoder produces a frozen `(B, 384, 16, 16)` feature map from a
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`(B, 11, 16, 256, 256)` input. Linear and k-NN probes on top of those frozen
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features regress the active-matter parameters $\alpha$ (alignment strength)
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and $\zeta$ (active stress).
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## Architecture
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| Component | Spec |
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|---|---|
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| Input | $(B, 11, 16, 256, 256)$ |
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| 3D PatchEmbed | `Conv3d(11 → 384, kernel=stride=4×16×16)` |
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| Tokens | $T'{\times}H'{\times}W' = 4{\times}16{\times}16 = 1024$ |
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| Transformer blocks | 6 × pre-norm, $h{=}6$, MLP ratio 4, QKV bias |
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| Pos. embedding | learnable, $1024 \times 384$ |
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| Output | $(B, 384, 16, 16)$ — time collapsed by mean over $T'$ |
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| **Total params** | **≈ 15.4 M** |
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The companion `ConvPredictor` used during JEPA pretraining (≈ 7.1 M) is
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**not** included — only the encoder is published.
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## Training recipe
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| | |
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|---|---|
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| Objective | JEPA + VICReg ($\lambda_{\text{sim}}{=}2,\ \lambda_{\text{std}}{=}40,\ \lambda_{\text{cov}}{=}2$) |
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| Preprocessing | band-limited FFT resize (preserves periodic BCs) |
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| Optimiser | AdamW, lr $5\!\times\!10^{-4}$, wd $0.05$, cosine, 3 warmup epochs |
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| Precision | bf16 |
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| Batch size | 4 |
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| Epochs | 30 (this checkpoint = epoch 29) |
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| Hardware | single A100 |
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## Evaluation — frozen-encoder probes on held-out test split
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Lower MSE is better.
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| Probe | mean MSE $\downarrow$ | $\alpha$ MSE $\downarrow$ | $\zeta$ MSE $\downarrow$ | $k$ / metric |
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|---|---|---|---|---|
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| Linear | **0.107** | **0.016** | **0.197** | — |
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| k-NN | **0.120** | **0.009** | **0.231** | $k=20$, cosine |
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Every CNN variant we tried (VICReg baseline, VICReg+FFT, Conv+Attn,
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Conv+Attn×6) lands at linear MSE 0.22–0.27 on the same data; the 3D-patch
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tokeniser is the change that unlocks the ~3× improvement.
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## Usage
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```python
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import torch
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from huggingface_hub import hf_hub_download
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from physics_jepa.utils.model_utils import ViT3DEncoder
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ckpt_path = hf_hub_download(
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repo_id="szcharlesji/vit3d-d6-active-matter",
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filename="ViT3DEncoder_29.pth",
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)
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encoder = ViT3DEncoder(
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in_chans=11, num_frames=16, img_size=(256, 256),
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patch_size=(4, 16, 16), embed_dim=384, depth=6, num_heads=6,
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mlp_ratio=4.0,
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)
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encoder.load_state_dict(torch.load(ckpt_path, map_location="cpu"))
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encoder.eval()
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# x: (B, 11, 16, 256, 256), float
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with torch.no_grad():
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feat = encoder(x) # (B, 384, 16, 16)
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```
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## Citation
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```bibtex
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@misc{ji2026jepa-active-matter,
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author = {Charles Cheng Ji, Zhanhe Shi, Richard Wang, Romina Yalovetzky},
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title = {Physics-Aware Representation Learning for Physical Systems},
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year = {2026},
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}
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```
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