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We investigate a reduction of supervised learning to game playing that reveals new connections and learning methods. For convex one-layer problems, we demonstrate an equivalence between global minimizers of the training problem and Nash equilibria in a simple game. We then show how the game can be extended to general acyclic neural networks with differentiable convex gates, establishing a bijection between the Nash equilibria and critical (or KKT) points of the deep learning problem. Based on these connections we investigate alternative learning methods, and find that regret matching can achieve competitive training performance while producing sparser models than current deep learning approaches.
Author Information
Dale Schuurmans (Google Brain & University of Alberta)
Martin A Zinkevich (Google)
More from the Same Authors
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2019 Poster: Surrogate Objectives for Batch Policy Optimization in One-step Decision Making »
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2016 Poster: Reward Augmented Maximum Likelihood for Neural Structured Prediction »
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2015 Poster: Embedding Inference for Structured Multilabel Prediction »
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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 »
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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 »
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2013 Spotlight: Convex Two-Layer Modeling »
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2013 Poster: Polar Operators for Structured Sparse Estimation »
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2012 Poster: Convex Multi-view Subspace Learning »
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2012 Poster: Accelerated Training for Matrix-norm Regularization: A Boosting Approach »
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2012 Poster: A Polynomial-time Form of Robust Regression »
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2010 Poster: Relaxed Clipping: A Global Training Method for Robust Regression and Classification »
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2009 Poster: Convex Relaxation of Mixture Regression with Efficient Algorithms »
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2009 Poster: A General Projection Property for Distribution Families »
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2007 Spotlight: Stable Dual Dynamic Programming »
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2007 Poster: Stable Dual Dynamic Programming »
Tao Wang · Daniel Lizotte · Michael Bowling · Dale Schuurmans -
2007 Session: Spotlights »
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2007 Spotlight: Regret Minimization in Games with Incomplete Information »
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2007 Poster: Regret Minimization in Games with Incomplete Information »
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2007 Poster: Convex Relaxations of EM »
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2007 Poster: Computing Robust Counter-Strategies »
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2007 Poster: Discriminative Batch Mode Active Learning »
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2006 Poster: Learning to Model Spatial Dependency: Semi-Supervised Discriminative Random Fields »
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2006 Poster: implicit Online Learning with Kernels »
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2006 Poster: iLSTD: Convergence, Eligibility Traces, and Mountain Car »
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