Heteroscedastic Student-t Regression Matches Diffusion Policies in Robot Learning, Paper Finds

YouJiacheng · x · 2026-10-15

An arXiv paper by Yuchen Zhou, Jiacheng You et al. revisits why diffusion/flow-matching policies beat MSE action regression in robot imitation learning. The authors show real demonstration data has state-dependent residual scales and heavier-than-Gaussian tails, and MSE training allocates excess gradient to high-residual observations. Their heteroscedastic Student-t regression (HT-Policies) closes the gap: single-pass inference, no denoising, reusable flow-policy backbones, and success rates competitive with generative baselines across 4 sim benchmarks and real robots.

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