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Lecture Notes in Artificial Intelligence 3120 Edited by J. G. Carbonell and J. Siekmann Subseries of Lecture Notes in Computer Science This page intentionally left blank John Shawe-Taylor Yoram Singer (Eds.) Learning Theory 17th Annual Conference on Learning Theory, COLT 2004 Banff, Canada, July 1-4, 2004 Proceedings Springer eBook ISBN: 3-540-27819-2 Print ISBN: 3-540-22282-0 ©2005 Springer Science + Business Media, Inc. Print©2004Springer-Verlag Berlin Heidelberg All rights reserved No part of this eBook maybe reproducedor transmitted inanyform or byanymeans,electronic, mechanical, recording, or otherwise, without written consent from the Publisher Created in the United States of America Visit Springer's eBookstore at: http://ebooks.springerlink.com and the Springer Global Website Online at: http://www.springeronline.com Preface This volume contains papers presented at the 17th Annual Conference on Lear- ning Theory (previously known as the Conference on Computational Learning Theory) held in Banff, Canada from July 1 to 4, 2004. The technical program contained 43 papers selected from 107 submissions, 3 open problems selected from among 6 contributed, and 3 invited lectures. The invited lectures were given by Michael Kearns on ‘Game Theory, Automated Trading and Social Networks’, Moses Charikar on ‘Algorithmic Aspects of Fi- nite Metric Spaces’, and Stephen Boyd on ‘Convex Optimization, Semidefinite Programming, and Recent Applications’. These papers were not included in this volume. The Mark Fulk Award is presented annually for the best paper co-authored by a student. This year the Mark Fulk award was supplemented with two further awards funded by the Machine Learning Journal and the National Information Communication Technology Centre, Australia (NICTA). We were therefore able to select three student papers for prizes. The students selected were Magalie Fro- mont for the single-author paper “Model Selection by Bootstrap Penalization for Classification”, Daniel Reidenbach for the single-author paper “On the Learna- bility of E-Pattern Languages over Small Alphabets”, and Ran Gilad-Bachrach for the paper “Bayes and Tukey Meet at the Center Point” (co-authored with Amir Navot and Naftali Tishby). This year saw an exceptional number of papers submitted to COLT cover- ing a wider range of topics than has previously been the norm. This exciting expansion of learning theory analysis to new models and tasks marks an im- portant development in the growth of the area as well as in the linking with practical applications. The large number of quality submissions placed a heavy burden on the program committee of the conference: Shai Ben-David (Cornell University), Stephane Boucheron (Université Paris-Sud), Olivier Bousquet (Max Planck Institute), Sanjoy Dasgupta (University of California, San Diego), Vic- tor Dalmau (Universitat Pompeu Fabra), Andre Elisseeff (IBM Zurich Research Lab), Thore Graepel (Microsoft Research Labs, Cambridge), Peter Grunwald (CWI, Amsterdam), Michael Jordan (University of California, Berkeley), Adam Kalai (Toyota Technological Institute), David McAllester (Toyota Technological Institute), Manfred Opper (University of Southampton), Alon Orlitsky (Univer- sity of California, San Diego), Rob Schapire (Princeton University), Matthias Seeger (University of California, Berkeley), Satinder Singh (University of Michi- gan), Eiji Takimoto (Tohoku University), Nicolas Vayatis (Université Paris 6), Bin Yu (University of California, Berkeley) and Thomas Zeugmann (University at Lübeck). We are extremely grateful for their careful and thorough reviewing and for the detailed discussions that ensured the very high quality of the final program. We would like to have mentioned the subreviewers who assisted the program committee in reaching their assessments, but unfortunately space con- VI Preface straints do not permit us to include this long list of names and we must simply ask them to accept our thanks anonymously. We particularly thank Rob Holte and Dale Schuurmans, the conference local chairs, as well as the registration chair Kiri Wagstaff. Together they handled the conference publicity and all the local arrangements to ensure a successful event. We would also like to thank Microsoft for providing the software used in the program committee deliberations, and Ofer Dekel for maintaining this soft- ware and the conference Web site. Bob Williamson and Jyrki Kivinen assisted the organization of the conference in their role as consecutive Presidents of the Association of Computational Learning, and heads of the COLT Steering Com- mittee. We would also like to thank the ICML organizers for ensuring a smooth co-location of the two conferences and arranging for a ‘kernel day’ at the overlap on July 4. The papers appearing as part of this event comprise the last set of 8 full-length papers in this volume. Finally, we would like to thank the Machine Learning Journal, the Pacific Institute for the Mathematical Sciences (PIMS), INTEL, SUN, the Informatics Circle of Research Excellence (iCORE), and the National Information Com- munication Technology Centre, Australia (NICTA) for their sponsorship of the conference. This work was also supported in part by the IST Programme of the European Community, under the PASCAL Network of Excellence, IST-2002- 506778. April, 2004 John Shawe-Taylor, Yoram Singer Program Co-chairs, COLT 2004 Sponsored by: Table of Contents Economics and Game Theory Towards a Characterization of Polynomial Preference Elicitation with Value Queries in Combinatorial Auctions 1 Paolo Santi, Vincent Conitzer, Tuomas Sandholm Graphical Economics 17 Sham M. Kakade, Michael Kearns, Luis E. Ortiz Deterministic Calibration and Nash Equilibrium 33 Sham M. Kakade, Dean P. Foster Reinforcement Learning for Average Reward Zero-Sum Games 49 Shie Mannor OnLine Learning Polynomial Time Prediction Strategy with Almost Optimal Mistake Probability 64 Nader H. Bshouty Minimizing Regret with Label Efficient Prediction 77 Nicolò Cesa-Bianchi, Gábor Lugosi, Gilles Stoltz Regret Bounds for Hierarchical Classification with Linear-Threshold Functions 93 Nicolò Cesa-Bianchi, Alex Conconi, Claudio Gentile Online Geometric Optimization in the Bandit Setting Against an Adaptive Adversary 109 H. Brendan McMahan, Avrim Blum Inductive Inference Learning Classes of Probabilistic Automata 124 François Denis, Yann Esposito On the Learnability of E-pattern Languages over Small Alphabets 140 Daniel Reidenbach Replacing Limit Learners with Equally Powerful One-Shot Query Learners 155 Steffen Lange, Sandra Zilles VIII Table of Contents Probabilistic Models Concentration Bounds for Unigrams Language Model 170 Evgeny Drukh, Yishay Mansour Inferring Mixtures of Markov Chains 186 Sudipto Guha, Sampath Kannan Boolean Function Learning PExact = Exact Learning 200 Dmitry Gavinsky, Avi Owshanko Learning a Hidden Graph Using Queries Per Edge 210 Dana Angluin, Jiang Chen Toward Attribute Efficient Learning of Decision Lists and Parities 224 Adam R. Klivans, Rocco A. Servedio Empirical Processes Learning Over Compact Metric Spaces 239 H. Quang Minh, Thomas Hofmann A Function Representation for Learning in Banach Spaces 255 Charles A. Micchelli, Massimiliano Pontil Local Complexities for Empirical Risk Minimization 270 Peter L. Bartlett, Shahar Mendelson, Petra Philips Model Selection by Bootstrap Penalization for Classification 285 Magalie Fromont MDL Convergence of Discrete MDL for Sequential Prediction 300 Jan Poland, Marcus Hutter On the Convergence of MDL Density Estimation 315 Tong Zhang Suboptimal Behavior of Bayes and MDL in Classification Under Misspecification 331 Peter Grünwald, John Langford Generalisation I Learning Intersections of Halfspaces with a Margin 348 Adam R. Klivans, Rocco A. Servedio Table of Contents IX A General Convergence Theorem for the Decomposition Method 363 Niko List, Hans Ulrich Simon Generalisation II Oracle Bounds and Exact Algorithm for Dyadic Classification Trees 378 Gilles Blanchard, Christin Schäfer, Yves Rozenholc An Improved VC Dimension Bound for Sparse Polynomials 393 Michael Schmitt A New PAC Bound for Intersection-Closed Concept Classes 408 Peter Auer, Ronald Ortner Clustering and Distributed Learning A Framework for Statistical Clustering with a Constant Time Approximation Algorithms for K-Median Clustering 415 Shai Ben-David Data Dependent Risk Bounds for Hierarchical Mixture of Experts Classifiers 427 Arik Azran, Ron Meir Consistency in Models for Communication Constrained Distributed Learning 442 J.B. Predd, S.R. Kulkarni, H. V. Poor On the Convergence of Spectral Clustering on Random Samples: The Normalized Case 457 Ulrike von Luxburg, Olivier Bousquet, Mikhail Belkin Boosting Performance Guarantees for Regularized Maximum Entropy Density Estimation 472 MiroslavDudík, Steven J. Phillips, Robert E. Schapire Learning Monotonic Linear Functions 487 Adam Kalai Boosting Based on a Smooth Margin 502 Cynthia Rudin, Robert E. Schapire, Ingrid Daubechies Kernels and Probabilities Bayesian Networks and Inner Product Spaces 518 Atsuyoshi Nakamura, Michael Schmitt, Niels Schmitt, Hans Ulrich Simon

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chairs, as well as the registration chair Kiri Wagstaff. Together they handled We would also like to thank Microsoft for providing the software used in the program committee . permits, land lots, and so on [9]. Intuitively, the inferability8 of a bundle measures how easy it is for an elici- tation
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