Timezone: »
We develop a new algorithm for online planning in large scale sequential decision problems that improves upon the worst case efficiency of UCT. The idea is to augment Monte-Carlo Tree Search (MCTS) with maximum entropy policy optimization, evaluating each search node by softmax values back-propagated from simulation. To establish the effectiveness of this approach, we first investigate the single-step decision problem, stochastic softmax bandits, and show that softmax values can be estimated at an optimal convergence rate in terms of mean squared error. We then extend this approach to general sequential decision making by developing a general MCTS algorithm, Maximum Entropy for Tree Search (MENTS). We prove that the probability of MENTS failing to identify the best decision at the root decays exponentially, which fundamentally improves the polynomial convergence rate of UCT. Our experimental results also demonstrate that MENTS is more sample efficient than UCT in both synthetic problems and Atari 2600 games.
Author Information
Chenjun Xiao (University of Alberta)
Ruitong Huang (Borealis AI)
Jincheng Mei (University of Alberta)
Dale Schuurmans (Google)
Martin Müller (University of Alberta)
More from the Same Authors
-
2021 Spotlight: Combiner: Full Attention Transformer with Sparse Computation Cost »
Hongyu Ren · Hanjun Dai · Zihang Dai · Mengjiao (Sherry) Yang · Jure Leskovec · Dale Schuurmans · Bo Dai -
2021 : Offline Policy Selection under Uncertainty »
Mengjiao (Sherry) Yang · Bo Dai · Ofir Nachum · George Tucker · Dale Schuurmans -
2022 Poster: A Simple Decentralized Cross-Entropy Method »
Zichen Zhang · Jun Jin · Martin Jagersand · Jun Luo · Dale Schuurmans -
2022 Poster: Chain of Thought Imitation with Procedure Cloning »
Mengjiao (Sherry) Yang · Dale Schuurmans · Pieter Abbeel · Ofir Nachum -
2022 Poster: Optimal Scaling for Locally Balanced Proposals in Discrete Spaces »
Haoran Sun · Hanjun Dai · Dale Schuurmans -
2022 Poster: The Role of Baselines in Policy Gradient Optimization »
Jincheng Mei · Wesley Chung · Valentin Thomas · Bo Dai · Csaba Szepesvari · Dale Schuurmans -
2022 Poster: Chain-of-Thought Prompting Elicits Reasoning in Large Language Models »
Jason Wei · Xuezhi Wang · Dale Schuurmans · Maarten Bosma · brian ichter · Fei Xia · Ed Chi · Quoc V Le · Denny Zhou -
2022 Poster: On the Global Convergence Rates of Decentralized Softmax Gradient Play in Markov Potential Games »
Runyu Zhang · Jincheng Mei · Bo Dai · Dale Schuurmans · Na Li -
2021 : Dale Schuurmans Talk Q&A »
Dale Schuurmans -
2021 : Invited Talk: Dale Schuurmans - Understanding Deep Value Estimation »
Dale Schuurmans -
2021 Poster: Combiner: Full Attention Transformer with Sparse Computation Cost »
Hongyu Ren · Hanjun Dai · Zihang Dai · Mengjiao (Sherry) Yang · Jure Leskovec · Dale Schuurmans · Bo Dai -
2021 Poster: Understanding the Effect of Stochasticity in Policy Optimization »
Jincheng Mei · Bo Dai · Chenjun Xiao · Csaba Szepesvari · Dale Schuurmans -
2020 Poster: Escaping the Gravitational Pull of Softmax »
Jincheng Mei · Chenjun Xiao · Bo Dai · Lihong Li · Csaba Szepesvari · Dale Schuurmans -
2020 Oral: Escaping the Gravitational Pull of Softmax »
Jincheng Mei · Chenjun Xiao · Bo Dai · Lihong Li · Csaba Szepesvari · Dale Schuurmans -
2019 : Poster Session »
Matthia Sabatelli · Adam Stooke · Amir Abdi · Paulo Rauber · Leonard Adolphs · Ian Osband · Hardik Meisheri · Karol Kurach · Johannes Ackermann · Matt Benatan · GUO ZHANG · Chen Tessler · Dinghan Shen · Mikayel Samvelyan · Riashat Islam · Murtaza Dalal · Luke Harries · Andrey Kurenkov · Konrad Żołna · Sudeep Dasari · Kristian Hartikainen · Ofir Nachum · Kimin Lee · Markus Holzleitner · Vu Nguyen · Francis Song · Christopher Grimm · Felipe Leno da Silva · Yuping Luo · Yifan Wu · Alex Lee · Thomas Paine · Wei-Yang Qu · Daniel Graves · Yannis Flet-Berliac · Yunhao Tang · Suraj Nair · Matthew Hausknecht · Akhil Bagaria · Simon Schmitt · Bowen Baker · Paavo Parmas · Benjamin Eysenbach · Lisa Lee · Siyu Lin · Daniel Seita · Abhishek Gupta · Riley Simmons-Edler · Yijie Guo · Kevin Corder · Vikash Kumar · Scott Fujimoto · Adam Lerer · Ignasi Clavera Gilaberte · Nicholas Rhinehart · Ashvin Nair · Ge Yang · Lingxiao Wang · Sungryull Sohn · J. Fernando Hernandez-Garcia · Xian Yeow Lee · Rupesh Srivastava · Khimya Khetarpal · Chenjun Xiao · Luckeciano Carvalho Melo · Rishabh Agarwal · Tianhe Yu · Glen Berseth · Devendra Singh Chaplot · Jie Tang · Anirudh Srinivasan · Tharun Kumar Reddy Medini · Aaron Havens · Misha Laskin · Asier Mujika · Rohan Saphal · Joseph Marino · Alex Ray · Joshua Achiam · Ajay Mandlekar · Zhuang Liu · Danijar Hafner · Zhiwen Tang · Ted Xiao · Michael Walton · Jeff Druce · Ferran Alet · Zhang-Wei Hong · Stephanie Chan · Anusha Nagabandi · Hao Liu · Hao Sun · Ge Liu · Dinesh Jayaraman · John Co-Reyes · Sophia Sanborn -
2019 : Poster and Coffee Break 1 »
Aaron Sidford · Aditya Mahajan · Alejandro Ribeiro · Alex Lewandowski · Ali H Sayed · Ambuj Tewari · Angelika Steger · Anima Anandkumar · Asier Mujika · Hilbert J Kappen · Bolei Zhou · Byron Boots · Chelsea Finn · Chen-Yu Wei · Chi Jin · Ching-An Cheng · Christina Yu · Clement Gehring · Craig Boutilier · Dahua Lin · Daniel McNamee · Daniel Russo · David Brandfonbrener · Denny Zhou · Devesh Jha · Diego Romeres · Doina Precup · Dominik Thalmeier · Eduard Gorbunov · Elad Hazan · Elena Smirnova · Elvis Dohmatob · Emma Brunskill · Enrique Munoz de Cote · Ethan Waldie · Florian Meier · Florian Schaefer · Ge Liu · Gergely Neu · Haim Kaplan · Hao Sun · Hengshuai Yao · Jalaj Bhandari · James A Preiss · Jayakumar Subramanian · Jiajin Li · Jieping Ye · Jimmy Smith · Joan Bas Serrano · Joan Bruna · John Langford · Jonathan Lee · Jose A. Arjona-Medina · Kaiqing Zhang · Karan Singh · Yuping Luo · Zafarali Ahmed · Zaiwei Chen · Zhaoran Wang · Zhizhong Li · Zhuoran Yang · Ziping Xu · Ziyang Tang · Yi Mao · David Brandfonbrener · Shirli Di-Castro · Riashat Islam · Zuyue Fu · Abhishek Naik · Saurabh Kumar · Benjamin Petit · Angeliki Kamoutsi · Simone Totaro · Arvind Raghunathan · Rui Wu · Donghwan Lee · Dongsheng Ding · Alec Koppel · Hao Sun · Christian Tjandraatmadja · Mahdi Karami · Jincheng Mei · Chenjun Xiao · Junfeng Wen · Zichen Zhang · Ross Goroshin · Mohammad Pezeshki · Jiaqi Zhai · Philip Amortila · Shuo Huang · Mariya Vasileva · El houcine Bergou · Adel Ahmadyan · Haoran Sun · Sheng Zhang · Lukas Gruber · Yuanhao Wang · Tetiana Parshakova -
2019 Poster: Surrogate Objectives for Batch Policy Optimization in One-step Decision Making »
Minmin Chen · Ramki Gummadi · Chris Harris · Dale Schuurmans -
2019 Poster: Invertible Convolutional Flow »
Mahdi Karami · Dale Schuurmans · Jascha Sohl-Dickstein · Laurent Dinh · Daniel Duckworth -
2019 Spotlight: Invertible Convolutional Flow »
Mahdi Karami · Dale Schuurmans · Jascha Sohl-Dickstein · Laurent Dinh · Daniel Duckworth -
2018 : Off-policy Policy Optimization (Dale Schuurmans) »
Dale Schuurmans -
2018 Poster: Dimensionality Reduction has Quantifiable Imperfections: Two Geometric Bounds »
Yik Chau (Kry) Lui · Gavin Weiguang Ding · Ruitong Huang · Robert McCann -
2017 Poster: Bridging the Gap Between Value and Policy Based Reinforcement Learning »
Ofir Nachum · Mohammad Norouzi · Kelvin Xu · Dale Schuurmans -
2017 Poster: Multi-view Matrix Factorization for Linear Dynamical System Estimation »
Mahdi Karami · Martha White · Dale Schuurmans · Csaba Szepesvari -
2016 Poster: Deep Learning Games »
Dale Schuurmans · Martin A Zinkevich -
2016 Poster: Following the Leader and Fast Rates in Linear Prediction: Curved Constraint Sets and Other Regularities »
Ruitong Huang · Tor Lattimore · András György · Csaba Szepesvari -
2016 Poster: Reward Augmented Maximum Likelihood for Neural Structured Prediction »
Mohammad Norouzi · Samy Bengio · zhifeng Chen · Navdeep Jaitly · Mike Schuster · Yonghui Wu · Dale Schuurmans -
2015 Poster: Embedding Inference for Structured Multilabel Prediction »
Farzaneh Mirzazadeh · Siamak Ravanbakhsh · Nan Ding · Dale Schuurmans -
2014 Workshop: Representation and Learning Methods for Complex Outputs »
Richard Zemel · Dale Schuurmans · Kilian Q Weinberger · Yuhong Guo · Jia Deng · Francesco Dinuzzo · Hal Daumé III · Honglak Lee · Noah A Smith · Richard Sutton · Jiaqian YU · Vitaly Kuznetsov · Luke Vilnis · Hanchen Xiong · Calvin Murdock · Thomas Unterthiner · Jean-Francis Roy · Martin Renqiang Min · Hichem SAHBI · Fabio Massimo Zanzotto -
2014 Poster: Convex Deep Learning via Normalized Kernels »
Özlem Aslan · Xinhua Zhang · Dale Schuurmans -
2013 Workshop: Output Representation Learning »
Yuhong Guo · Dale Schuurmans · Richard Zemel · Samy Bengio · Yoshua Bengio · Li Deng · Dan Roth · Kilian Q Weinberger · Jason Weston · Kihyuk Sohn · Florent Perronnin · Gabriel Synnaeve · Pablo R Strasser · julien audiffren · Carlo Ciliberto · Dan Goldwasser -
2013 Poster: Convex Two-Layer Modeling »
Özlem Aslan · Hao Cheng · Xinhua Zhang · Dale Schuurmans -
2013 Spotlight: Convex Two-Layer Modeling »
Özlem Aslan · Hao Cheng · Xinhua Zhang · Dale Schuurmans -
2013 Poster: Polar Operators for Structured Sparse Estimation »
Xinhua Zhang · Yao-Liang Yu · Dale Schuurmans -
2012 Poster: Convex Multi-view Subspace Learning »
Martha White · Yao-Liang Yu · Xinhua Zhang · Dale Schuurmans -
2012 Poster: Accelerated Training for Matrix-norm Regularization: A Boosting Approach »
Xinhua Zhang · Yao-Liang Yu · Dale Schuurmans -
2012 Poster: A Polynomial-time Form of Robust Regression »
Yao-Liang Yu · Özlem Aslan · Dale Schuurmans -
2010 Poster: Relaxed Clipping: A Global Training Method for Robust Regression and Classification »
Yao-Liang Yu · Min Yang · Linli Xu · Martha White · Dale Schuurmans -
2009 Poster: Convex Relaxation of Mixture Regression with Efficient Algorithms »
Novi Quadrianto · Tiberio Caetano · John Lim · Dale Schuurmans -
2009 Poster: A General Projection Property for Distribution Families »
Yao-Liang Yu · Yuxi Li · Dale Schuurmans · Csaba Szepesvari -
2007 Spotlight: Stable Dual Dynamic Programming »
Tao Wang · Daniel Lizotte · Michael Bowling · Dale Schuurmans -
2007 Poster: Stable Dual Dynamic Programming »
Tao Wang · Daniel Lizotte · Michael Bowling · Dale Schuurmans -
2007 Session: Spotlights »
Dale Schuurmans -
2007 Poster: Convex Relaxations of EM »
Yuhong Guo · Dale Schuurmans -
2007 Poster: Discriminative Batch Mode Active Learning »
Yuhong Guo · Dale Schuurmans -
2006 Poster: Learning to Model Spatial Dependency: Semi-Supervised Discriminative Random Fields »
Chi-Hoon Lee · Shaojun Wang · Feng Jiao · Dale Schuurmans · Russell Greiner -
2006 Poster: implicit Online Learning with Kernels »
Li Cheng · Vishwanathan S V N · Dale Schuurmans · Shaojun Wang · Terry Caelli