{"id":610218,"date":"2019-09-23T10:53:32","date_gmt":"2019-09-23T17:53:32","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/?post_type=msr-research-item&#038;p=610218"},"modified":"2025-09-02T07:33:46","modified_gmt":"2025-09-02T14:33:46","slug":"using-a-logarithmic-mapping-to-enable-lower-discount-factors-in-reinforcement-learning","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/using-a-logarithmic-mapping-to-enable-lower-discount-factors-in-reinforcement-learning\/","title":{"rendered":"Using a Logarithmic Mapping to Enable Lower Discount Factors in Reinforcement Learning"},"content":{"rendered":"<p>In an effort to better understand the different ways in which the discount factor affects the optimization process in reinforcement learning, we designed a set of experiments to study each effect in isolation. Our analysis reveals that the common perception that this is caused by (too) small action-gaps requires revision. We propose an alternative hypothesis, which states that the size-difference of the action-gap across the state-space is the primary cause. We then introduce a new method that enables more homogeneous action-gaps by mapping value estimates to a logarithmic space. We prove convergence for this method under standard assumptions and demonstrate empirically that it indeed enables lower discount factors for approximate reinforcement-learning methods. This allows tackling a class of reinforcement-learning problems that are challenging to solve with traditional methods.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In an effort to better understand the different ways in which the discount factor affects the optimization process in reinforcement learning, we designed a set of experiments to study each effect in isolation. Our analysis reveals that the common perception that this is caused by (too) small action-gaps requires revision. 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