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@@ -199,7 +199,7 @@ Each agent perceives the world through a **Joint Embedding Predictive Architectu
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| Predictor | MLP with **Adaptive Layer Normalization** (AdaLN) — action conditions each layer's scale and shift; zero-init scale/shift weights (DiT-style) | Maes et al. 2026, Section 3.2; Peebles & Xie 2022 |
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| SIGReg (v0.2) | Differentiable moments-matching variant: skewness² + kurtosis² + variance penalty along random unit-norm projections, in the spirit of Cramer-Wold gaussianity testing | Adapted from Maes et al. 2026, Section 4 |
| Training | L = L\_pred + λ · SIGReg(Z), **analytic backpropagation** (hand-implemented in NumPy, gradient-checked against finite differences to <1e-10), Adam optimizer with gradient clipping at 5.0 | LeCun 2022 |
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| Training | L = L\_pred + λ · SIGReg(Z), **analytic backpropagation** (hand-implemented in NumPy, gradient-checked against central finite differences to <1e-8 in `test_world_model_gradcheck.py`), Adam optimizer with gradient clipping at 5.0. An optional PyTorch backend (`world_model_torch.py`) uses autograd.| LeCun 2022 |
description = "A physics-based, AI-driven simulation of human civilization on Planet Earth — JEPA agents, macro ODE, emergent geopolitics, real Earth geography."
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