Future Directions in Tensor-Based Computation and Modeling 1
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1 Workshop on Future Directions in Tensor-Based Computation and Modeling 1 National Science Foundation Arlington, Virginia February 20-21, 2009 Program Organizer: Charles Van Loan (Department of Computer Science, Cornell University) NSF Sponsors: Lenore Mullin (Division of Computing and Communications Foundations, CISE) Frank Olken (Division of Computing and Communications Foundations, CISE) 1 Award number
2 8:15-9:00 Breakfast Friday, February 20 9:00-9:30 Opening Welcome Lenore Mullin (NSF), Frank Olken (NSF) Workshop Goals Charles Van Loan (Cornell University) Three Right Directions and Three Wrong Directions for Tensor Research Michael W. Mahoney (Stanford) 9:30-12:30 Tensor Methods and Modeling: Why the Proliferation? Alternating Tensors and Rank Learning Lek-Heng Lim (University of California, Berkeley) Mining Graphs and Tensors Christos Faloutsos (Carnegie Melon University) Mathematical Modeling of DNA Microarray Data: Discovery of Biological Mechanisms with Tensor Decompositions, and Definitions of Novel Tensor Decompositions from Biological Applications Orly Alter (University of Texas, Austin) 10:45-11:15 Coffee Break Tensor Clustering and Error Bounds Chris Ding (University of Texas, Arlington) Unusual Tensor Decompositions for Informatics Applications Brett W. Bader, (Sandia National Laboratory) Challenges in Tensor Mining Evrim Acar Ataman (Sandia National Laboratory)
3 12:30-1:30 Lunch 1:30-3:30 Software and Language: How Do We Build an Infrastructure that Supports High-Performance, Tensor-Based Computation? Domain-Specific Abstractions for High-Productivity, High-Performance Scientific Computing J. (Ram) Ramanujam (Louisiana State University) and P. (Saday) Sadayappan (Ohio State University) Communication Avoiding and Tiled Algorithm for "2D" Linear Algebra. Julien Langou (University of Colorado, Denver) Software Challenges in Computational Science Anthony Kennedy (Edinburgh University) A Mathematics of Arrays (MoA}, Psi Calculus and the Composition of Tensor and Array Operations Lenore Mullin (NSF) and James E. Raynolds (SUNY, Albany) Tensor Computation on High Performance Machines Manal Helal (University of New South Wales) and Lenore Mullin (NSF) 3:30-4:00 Coffee Break 4:00-5:30 The Curse of Dimensionality: A Grand Challenge? Computing with Sums of Separable Functions, with Applications in Quantum Mechanics Martin Mohlenkamp (Ohio University) Nonlinear Approximations, Multi-linear Tools and Algorithms with Finite but Arbitrary Accuracy. Gregory Beylkin, (University of Colorado, Boulder) Multi-Length Scale Matrix Computations and Applications in Quantum Mechanical Simulations. Zhaojun Bai (University of California, Davis) From Math to Peta-app: Challenges in Practical Computation with Tensor-Based Algorithms. Robert J. Harrison (Oak Ridge National Laboratory)
4 8:15-9:00 Breakfast Saturday, February 21 9:00-10:45 Multilinear Optimization: More Nonlinear than Linear? Optimization Approaches for Solving Tensor Decompositions Models and Tensor Eigenvalue Problems Tamara G. Kolda (Sandia National Laboratories) Newton-Type Methods for Non-negative Tensor Approximation Inderjit Dhillon (University of Texas, Austin) Toward Faster Nonnegative Tensor Factorization: A New Activeset type Algorithm and Comparisons Haesun Park (Georgia Institute of Technology) Some Applications of Nonnegative Tensor Factorizations to Mining Hyperspectral and Global Climate Data Robert Plemmons (Wake Forest University) 10:45-11:15 Coffee Break 11:15-12:30 Tensor-Based Signal Processing and Statistics: Where To and Why? Cumulant Signal Processing, Tensors, and Some Recurring Problems Phillip Regalia (Catholic University of America) An Introduction to Tensor-Based Independent Component Analysis Lieven De Lathauwer (K.U.Leuven) Algebraic Models for Multilinear Dependence Jason Morton (Stanford University)
5 12:30-1:30 Lunch 1:30-2:45 Tensor Problems: What Makes Them Hard? Developing Tensor Operations with an Underlying Group Structure Carla Martin (James Madison University) Results and Problems for 3-tensors Shmuel Friedland (University of Illinois, Chicago) Tensor Decompositions from a Theoretical Computer Science Perspective Petros Drineas (Rensselaer Polytechnic Institute) 2:45-3:15 Coffee Break 3:15-4:15 Numerical Linear Algebra: What Is Its Message? 4:15-4:30 Break Krylov Methods for Tensors I Lars Elden (Linkoping University) Krylov Methods for Tensors II Berkant Savas (Linkoping University) Numerical Linear Algebra Issues Underlying a Tensor Network Computation Charles Van Loan (Cornell University) 4:30-5:30 Closing Discussion Sunday, February 22 9:00-11:00 Workshop Report Writing Session Location TBA
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