DIMACS Workshop on Geometric Optimization May 19 - 21, 2003 DIMACS Center, CoRE Building, Rutgers University Organizers: Joe Mitchell, SUNY Stony Brook, jsbm at ams.sunysb.edu Pankaj Agarwal, Duke University, pankaj at cs.duke.edu Presented under the auspices of the Special Focus on Computational Geometry and Applications. **************************************************************** Combinatorial optimization typically deals with problems of maximizing or minimizing a function of one or more variables subject to a large number of constraints. In many applications, the underlying optimization problem involves a constant number of variables and a large number of constraints that are induced by a given collection of geometric objects; these problems are referred to as geometric-optimization problems. Typical examples include facility location, low-dimensional clustering, network-design, optimal path-planning, shape-matching, proximity, and statistical-measure problems. In such cases one expects that faster and simpler algorithms can be developed by exploiting the geometric nature of the problem. Much work has been done on geometric-optimization problems during the last twenty-five years. Many elegant and sophisticated techniques have been proposed and successfully applied to a wide range of geometric-optimization problems. Several randomization and approximation techniques have been proposed. In parallel with the effort in the geometric algorithms community, the mathematical programming and combinatorial optimization communities have made numerous fundamental advances in optimization, both in computation and in theory, during the last quarter century. Interior-point methods, polyhedral combinatorics, and semidefinite programming have been developed as powerful mathematical and computational tools for optimization, and some of them have been used for geometric problems. Scope and Format: This workshop aims to bring together people from different research communities interested in geometric-optimization problems. The goal is to discuss various techniques developed for geometric optimization and their applications, to identify key research issues that need to be addressed, and to help establish relationships which can be used to strengthen and foster collaboration across the different areas. **************************************************************** Registration Fees: (Pre-registration deadline: May 12, 2003) Regular rate Preregister before deadline $120/day After preregistration deadline $140/day Reduced Rate* Preregister before deadline $60/day After preregistration deadline $70/day Postdocs Preregister before deadline $10/day After preregistration deadline $15/day DIMACS Postdocs $0 Non-Local Graduate & Undergraduate students Preregister before deadline $5/day After preregistration deadline $10/day Local Graduate & Undergraduate students $0 (Rutgers & Princeton) DIMACS partner institution employees** $0 DIMACS long-term visitors*** $0 Registration fee to be collected on site, cash, check, VISA/Mastercard accepted. Our funding agencies require that we charge a registration fee for the workshop. Registration fees cover participation in the workshop, all workshop materials, breakfast, lunch, breaks, and any scheduled social events (if applicable). * College/University faculty and employees of non-profit organizations will automatically receive the reduced rate. Other participants may apply for a reduction of fees. They should email their request for the reduced fee to the Workshop Coordinator at workshop at dimacs.rutgers.edu. Include your name, the Institution you work for, your job title and a brief explanation of your situation. All requests for reduced rates must be received before the preregistration deadline. You will promptly be notified as to the decision about it. ** Fees for employees of DIMACS partner institutions are waived. DIMACS partner institutions are: Rutgers University, Princeton University, AT&T Labs - Research, Bell Labs, NEC Laboratories America and Telcordia Technologies. Fees for employees of DIMACS affiliate members Avaya Labs, IBM Research and Microsoft Research are also waived. ***DIMACS long-term visitors who are in residence at DIMACS for two or more weeks inclusive of dates of workshop. ********************************************************* PROGRAM Monday, May 19, 2003 8:15-8:55 Breakfast and Registration 8:55-9:00 Opening remarks: Fred S. Roberts, Director of DIMACS 9:00-10:00 Unique Sink Orientations of Cubes and its Relations to Optimization Emo Welzl, ETH Zurich 10:00-10:30 Smoothed Analysis of Algorithms: Simplex Algorithm and Numerical Analysis Shanghua Teng, Boston University 10:30-11:00 Break 11:00-11:30 The Protein Side-Chain Positioning Proble Carl Kingsford, Princeton University 11:30-12:00 Approximate Protein Structural Alignment in Polynomial Time Rachel Kolodny, Stanford University 12:00-12:30 Hausdorff Distance under Translation for Points and Balls Yusu Wang, Duke University 12:30-02:00 Lunch 02:00-03:00 Emerging Trends in Optimization Dan Bienstock, Columbia University 03:00-03:30 Exact Parallel Algorithm for Computing Maximum Feasible Subsystems of Linear Relations Vera Rosta, McGill University 03:30-04:00 Improved Embeddings of Metrics into Trees Satish Rao, UC Berkeley 04:00-04:30 Break 04:30-05:00 Online Searching with Turn Cost Erik Demaine, MIT 05:00-05:30 Leave no Stones Unturned: Improved Approximation Algorithms for Degree-Bounded Minimum Spanning Trees Raja Jothi, UT Dallas 05:30-06:00 Constructing Spanners of Different Flavors Joachim Gudmundsson Tuesday, May 20, 2003 08:15-09:00 Breakfast and registration 09:00-10:00 Random Walks and Geometric Algorithms Santosh Vempala, MIT 10:00-10:30 Approximation Algorithms for k-Center Clustering Piyush Kumar, SUNY Sony Brook 10:30-11:00 Break 11:00-11:30 Computing Projective Clusters via Certificates Cecilia M. Procopiuc, AT&T Labs 11:30-12:00 Shape Fitting with Outliers Sariel Har-Peled, UIUC 12:00-12:30 Approximate Minimum Volume Enclosing Ellipsoids Using Core Sets Alper Yildirim, SUNY Sony Brook 12:30-02:00 Lunch 02:00-03:00 Geometric Optimization and Arrangements Micha Sharir, Tel Aviv University 03:00-03:30 Approximating the k-Radius of High-Dimensional Point Sets Kasturi Varadarajan, University of Iowa 03:30-04:00 Break 04:00-05:00 Approximation Schemes for Geometric NP-Hard Problems: A Survey Sanjeev Arora, Princeton University 05:00-05:30 TSP with Neighborhoods of Varying Size Matya Katz, Ben Gurion University 05:30-06:00 Touring a Sequence of Polygons Alon Efrat, University of Arizona Wednesday, May 21, 2003 09:00-10:00 Quasiconvex Programming David Eppstein, UC Irvine 10:00-10:30 Engineering Geometric Optimization Algorithms: Some Experiments Herve Bronnimann, Polytechnic University 10:30-11:00 Subtraction in Geometric Searching Bernard Chazelle 11:00-11:30 Minimum Separation in Weighted Subdivisions Ovidiu Daescu and James Palmer 11:30-12:30 Lunch 12:30-01:00 Some Data Streaming Problems in Computational Geometry S. Muthukrishnan, Rutgers University 01:00-01:30 Streaming Geometric Optimization Using Graphics Hardware Suresh Venkatasubramanian, AT&T Labs 01:30-02:00 Efficient Algorithms for Shared Camera Control Vladlen Koltun, UC Berkeley ********************************************************* Information on participation, registration, accommodations, and travel can be found at: http://dimacs.rutgers.edu/Workshops/GeomOpt/ **PLEASE BE SURE TO PRE-REGISTER EARLY** *********************************************************