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panda

GilpinLab

>Chaotic systems are intrinsically sensitive to small errors, challenging efforts to construct predictive data-driven models of real-world dynamical systems such as fluid flows or neuronal activity. Prior efforts comprise either specialized models trained separately on individual time series, or foundation models trained on vast time series databases with little underlying dynamical structure. Motivated by dynamical systems theory, we present Panda, Patched Attention for Nonlinear DynAmics. We train Panda on a novel synthetic, extensible dataset of 2 \times 10^4 chaotic dynamical systems that we discover using an evolutionary algorithm. Trained purely on simulated data, Panda exhibits emergent properties: zero-shot forecasting of unseen real world chaotic systems, and nonlinear resonance patterns in cross-channel attention heads. Despite having been trained only on low-dimensional ordinary differential equations, Panda spontaneously develops the ability to predict partial differential equations without retraining. We demonstrate a neural scaling law for differential equations, underscoring the potential of pretrained models for probing abstract mathematical domains like nonlinear dynamics. This checkpoint was trained for (only) 100k iterations, with per-device batch size 1024, across 4 AMD MI100X GPUs. NOTE: we are currently in the process of scaling up our model and training, so stay tuned! Update: We have released a bigger model: panda-72M

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panda-72M

GilpinLab

基础档案已收录，详细介绍后续补充。可先查看厂商、分类与来源。

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Monthly input tokens 10 MMonthly output tokens 2 M1 M = 1 million tokens · USD
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