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Implicit Finite-Horizon Approximation and Efficient Optimal Algorithms for Stochastic Shortest Path

NeurIPS 2021 · Bandits and online learning › RL theory and MDPs · approach: Stochastic shortest path · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use implicit finite-horizon approximation in analysis rather than explicitly implementing the horizon reductionSSP regret-minimization template · Stochastic Shortest Pathregret boundHelped
Use sparse one-step planning updates instead of full planningSVI-SSP · Stochastic Shortest Pathtime complexity: \tilo{\nicefrac{B_\star S^2A}{\cmin}} vs. \tilo{\nicefrac{B_\star^2S^5A}{\cmin^2}}Helped
Remove the reference-advantage second update (ablation)LCB-Advantage-SSP · Stochastic Shortest Pathregret bound: \sqrt{H}Hurt
Update the reference value function only once instead of repeatedly (ablation)LCB-Advantage-SSP · Stochastic Shortest Pathreference-value regret cost: \tilO{\frac{B_\star^2H^3S^2A}{\rho}} vs. \tilO{\frac{B_\star^2H^3S^2A}{\rho^2}}Hurt
Use the less frequent initial update schedule rather than updating on each of the first H visits (ablation)SVI-SSP · Stochastic Shortest Pathlower-order regret term: poly(H)Hurt
Clip costs to epsilon when the minimum cost is unknown or zero (ablation)LCB-Advantage-SSP · Stochastic Shortest Path with unknown or zero minimum costregret bound: \tilO{K^{4/5}}Hurt
Use naive epsilon-greedy exploration with vanilla Q learning instead of LCB-Advantage-SSPSSP model-free learning · Experimentsconvergence rateHurt
Use SVI-SSP rather than other model-based algorithmsSSP model-based learning · Experimentstime spent in updatesHelped

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