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Paper · arXiv

Stein Variational Distributional Reinforcement Learning: Score-Guided Particles for Multivariate Return Distributions

Decisions that weigh several reward signals against each other require the joint distribution of the return vector. Categorical critics scale exponentially in the reward dimension, and quantiles have no canonical multivariate analogue. Multivariate distributional critics therefore represent each return distribution by M equal-weight particles trained with a discrepancy loss. Beyond their atoms, the particles provide no sampler and cannot resolve events rarer than 1/M. We propose Stein variational distributional RL (SVDRL). Its critic outputs Stein particles, which Stein variational gradient descent transports along a learned score field of the distributional Bellman target. We learn this ...

AuthorsManuel Haußmann, Melih Kandemir
Primary categorycs.LG
Published13 October 2026
Last updated at source13 October 2026
cs.LG
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