Visual-Language-Action (VLA) models unify perception, language understanding, and robotic control into a single learned system. The post covers the mathematical foundations of VLAs, including how robots represent observations as latent embeddings, three strategies for generating continuous actions (action tokenization, diffusion-based heads, and flow matching), and real-world architectures from models like RT-2, OpenVLA, GR00T N1, π0, and Figure's Helix 02. It also explains the two-phase training pipeline: large-scale pretraining on diverse robot demonstration datasets followed by embodiment-specific post-training for task specialization and fine motor control.

16m read timeFrom towardsdatascience.com
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PreliminariesUseful ConjecturesThe Mathematical FundamentalsHow VLAs are trainedWrapping upReferences

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