An Empirical Comparison of Abstraction in Models of Markov Decision Processes
Description
Reinforcement learning studies the problem of solving sequential decision making problems. Model-based methods learn an effective policy in few actions by learning a model of the domain and simulating experience in their models. Typical model-based methods must visit each state at least once, which can be infeasible in large domains. To overcome this problem, the model learning algorithm needs to generalize knowledge to unseen states and provide information about the states in which it needs more experience. In this paper, we use existing supervised learning techniques to learn the model of the domain. We empirically compare their
effectiveness at generalizing knowledge across states on three different domains. Our results
indicate that tree-based models perform the best after training on a small number of transitions, while support vector machines perform the best after a large number of transitions.
| Slides | |
| 0:00 | An Empirical Comparison of Abstraction in Models of Markov Decision Processes |
| 0:02 | Overall Goal |
| 0:22 | Reinforcement Learning |
| 0:35 | Example: Finding your favorite restaurant - 1 |
| 1:06 | Example: Finding your favorite restaurant - 2 |
| 1:16 | Example: Finding your favorite restaurant - 3 |
| 1:19 | Example: Finding your favorite restaurant - 4 |
| 1:21 | Example: Finding your favorite restaurant - 5 |
| 1:24 | Model-Free Methods |
| 1:53 | Finding your favorite restaurant: Q-Learning - 1 |
| 1:57 | Finding your favorite restaurant: Q-Learning - 2 |
| 2:02 | Finding your favorite restaurant: Q-Learning - 3 |
| 2:04 | Finding your favorite restaurant: Q-Learning - 4 |
| 2:08 | Finding your favorite restaurant: Q-Learning - 5 |
| 2:10 | Finding your favorite restaurant: Q-Learning - 6 |
| 2:10 | Finding your favorite restaurant: Q-Learning - 7 |
| 2:11 | Finding your favorite restaurant: Q-Learning - 8 |
| 2:12 | Finding your favorite restaurant: Q-Learning - 9 |
| 2:12 | Finding your favorite restaurant: Q-Learning - 10 |
| 2:13 | Finding your favorite restaurant: Q-Learning - 11 |
| 2:13 | Finding your favorite restaurant: Q-Learning - 12 |
| 2:19 | Finding your favorite restaurant: Q-Learning - 13 |
| 2:20 | Finding your favorite restaurant: Q-Learning - 14 |
| 2:20 | Finding your favorite restaurant: Q-Learning - 15 |
| 2:21 | Finding your favorite restaurant: Q-Learning - 16 |
| 2:28 | Model-Based Methods |
| 3:02 | Finding your favorite restaurant: R-Max - 1 |
| 3:09 | Finding your favorite restaurant: R-Max - 2 |
| 3:20 | Finding your favorite restaurant: R-Max - 3 |
| 3:23 | Finding your favorite restaurant: R-Max - 4 |
| 3:23 | Finding your favorite restaurant: R-Max - 5 |
| 3:27 | Finding your favorite restaurant: R-Max - 6 |
| 3:27 | Finding your favorite restaurant: R-Max - 7 |
| 3:28 | Finding your favorite restaurant: R-Max - 8 |
| 3:28 | Finding your favorite restaurant: R-Max - 9 |
| 3:28 | Finding your favorite restaurant: R-Max - 10 |
| 3:28 | Finding your favorite restaurant: R-Max - 11 |
| 3:28 | Finding your favorite restaurant: R-Max - 12 |
| 3:29 | Finding your favorite restaurant: R-Max - 13 |
| 3:39 | Results Example: Gridworld |
| 4:02 | Need more efficient exploration |
| 4:13 | Our approach: Function approximation in the model |
| 4:44 | Finding your favorite restaurant: Desired Behavior - 1 |
| 4:56 | Finding your favorite restaurant: Desired Behavior - 2 |
| 5:12 | Finding your favorite restaurant: Desired Behavior - 3 |
| 5:17 | Finding your favorite restaurant: Desired Behavior - 4 |
| 5:18 | Finding your favorite restaurant: Desired Behavior - 5 |
| 5:19 | Finding your favorite restaurant: Desired Behavior - 6 |
| 5:20 | Finding your favorite restaurant: Desired Behavior - 7 |
| 5:22 | Finding your favorite restaurant: Desired Behavior - 8 |
| 5:30 | Models |
| 6:16 | Idea: Make it a supervised learning problem |
| 7:01 | Methods |
| 7:30 | Related Work |
| 7:53 | Example: Decision tree model for Δx |
| 9:03 | Experiments |
| 9:36 | Example: Decision tree model for Δx |
| 9:54 | Experiments |
| 10:12 | Discussion |
| 10:36 | Thank You! |
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