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The Predictron: End-to-end Learning and
Planning
Yoonho Lee
Department of Computer Science and Engineering
Pohang University of Science and Technology
December 27, 2016
Hierarchical RL
motivation
Hierarchical RL
Hierarchical RL
Reward augmentation1
1
Bellemare et al. Unifying Count-Based Exploration and Intrinsic
Motivation, NIPS 2016
Hierarchical RL
Hierarchical actions2
2
Florensa et al. Stochastic Neural Networks for Hierarchical Reinforcement
Learning, under review for ICLR 2017
Hierarchical RL
Model-based video prediction3
3
Oh et al. Action-Conditional Video Prediction using Deep Networks in
Atari Games, NIPS 2015
Value Iteration Networks
Aviv Tamar, Yi Wu, Garrett Thomas, Sergey Levine, Pieter Abbeel
Best paper at NIPS 2016
Value Iteration Networks
Motivation
Value Iteration Networks
Network diagram
Value Iteration Networks
Bellman Operator as a CNN forward pass
Bellman Operator
Every V converges to V ∗ under the Bellman Operator T defined
as:
(TV )(s) = max
a∈A
{R(s, a) + γ
s ∈S
P(s |s, a)V (s )} (1)
V ∗
= lim
n→∞
Tn
V ∀V (2)
The Bellman Operator can be viewed as a CNN forward pass:
(T∗
V )(s) = max
a∈A
{R(s, a) + γconvP(a)(V (s))}
Value Iteration Networks
VI Module
Value Iteration Networks
Results
Value Iteration Networks
Summary
Neural network architecture that plans using value iteration
Assumes that the state is a sufficient statistic for the reward
function
The small MDP must have a finite state space
Uses prior knowledge about the environment’s structure
The Predictron: End-to-End Learning and Planning
David Silver, Hado van Hasselt, Matteo Hessel, Tom Schaul,
Arthur Guez, Tim Harley, Gabriel Dulac-Arnold, David Reichert,
Neil Rabinowitz, Andre Barreto, Thomas Degris
Under review for ICLR 2017
Predictron
Predictron
Predictron
Predictron
Predictron
Predictron
Predictron
Predictron
Summary
End-to-end simulation of an MRP
Works with arbitrary state space for small MRP
Small MRP has a non-interpretable state space
Designed for RL, but does not take actions into account
Summary
Hierarchical Reinforcement Learning attempts to identify
crucial decisions
Agents can now use NN-based planning for better decision
making
Research directions
Theoretical bounds for optimal policy of a smaller MDP
Learning a smaller MDP with abstract actions
End-to-end planning based Q network or policy network
Thank You
Value Iteration Networks
The Predictron: End-to-End Learning and Planning

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