| Institute for Mathematics and its Applications University of Minnesota 400 Lind Hall 207 Church Street SE Minneapolis, MN 55455 |
2011-2012 Program
See http://www.ima.umn.edu/2011-2012/ for a full description of the 2011-2012 program on Mathematics of Information.
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 1:25pm-2:25pm | Using POMDPs to understand and support human sequential decision making with uncertainty | Brian J. Stankiewicz (3M) | Lind Hall 305 | IPS |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 11:15am-12:15pm | Sparse coding and object recognition | Arthur Szlam (University of Minnesota) | Lind Hall 305 | PS |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 11:15am-12:15pm | Derivatives of eigenvalue functions | Brendan P.W. Ames (University of Minnesota) | Lind Hall 401 | PS |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| All Day | Christmas Day (observed). The IMA is closed. |
| All Day | University Holiday. The IMA is closed. |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
| 2:30pm-3:00pm | Coffee break | Lind Hall 400 |
Event Legend: |
|
| IPS | Industrial Problems Seminar |
| PS | IMA Postdoc Seminar |
| Brendan P.W. Ames (University of Minnesota) | Derivatives of eigenvalue functions |
| Abstract: The eigenvalues of a symmetric operator play a significant role in many areas of mathematics and engineering. As such, it is important to understand the behaviour of the spectrum of a matrix under small perturbations. This talk is divided into two parts. In the first, I will review several important results from the literature regarding the sensitivity of the eigenvalues of a symmetric matrix. In particular, I will provide formulas for the directional derivatives of the spectrum of a symmetric matrix, and discuss how these formulas can be extended to obtain a series approximation of the spectrum of a symmetric matrix under small perturbations. The second half of the talk will focus on the sensitivity of functions of the spectrum of a symmetric matrix. If F(X) is a function that depends smoothly on the eigenvalues of X, I will provide conditions for when this smoothness is inherited by F. As examples, I will provide conditions for differentiability of spectral functions and primary matrix functions, as well as formulas for their gradients. | |
| Brian J. Stankiewicz (3M) | Using POMDPs to understand and support human sequential decision making with uncertainty |
| Abstract: Humans possess the remarkable ability to make thousands of decision every day under conditions of incredible uncertainty. Furthermore the outcomes of a decisions may not be felt for hours, days, weeks or even years and there may even have been many decisions made before there is any cost or reward generated. Developing a robust decision making system for these conditions remains a computational challenge due to the combinatoric nature of these problem along with being able to dynamically formulate an estimate of the system. However, you and I do it every day hundreds if not thousands of times. Thus we remain existence proof that such a computational system can exist. To better understand how humans accomplish this task we leverage the work in Partially Observable Markov Decision Processes (POMDPs) to provide us with a framework for providing optimal decision policies when making sequential decision under uncertainty. By comparing human performance to the optimal policy we have developed methods to dissect and identify which aspects of human cognition are optimal and sub-optimal. By identifying the computational strengths and limits of the human mind we can then identify the necessary computations to support and improve the human decision making process. | |
| Arthur Szlam (University of Minnesota) | Sparse coding and object recognition |
| Abstract: I will review a standard object recognition architecture, and discuss each of the components: SIFT features, sparse coding, pooling, and linear classifiers. I will then mention recent work of myself and collaborators on a fast version of this machine. | |
| Brendan P.W. Ames | University of Minnesota | 8/31/2011 - 8/30/2012 |
| Bubacarr Bah | University of Edinburgh | 9/15/2011 - 12/15/2011 |
| Arindam Banerjee | University of Minnesota | 9/1/2011 - 6/30/2012 |
| Andrew John Beveridge | Macalester College | 9/1/2011 - 5/15/2012 |
| Sergey G Bobkov | University of Minnesota | 9/1/2011 - 6/30/2012 |
| Luca Capogna | University of Minnesota | 8/15/2011 - 6/10/2012 |
| Aycil Cesmelioglu | University of Minnesota | 9/30/2010 - 8/30/2012 |
| Paolo Codenotti | University of Minnesota | 9/1/2011 - 8/30/2012 |
| Jintao Cui | University of Minnesota | 8/31/2010 - 8/30/2012 |
| Isabel K. Darcy | University of Iowa | 9/1/2011 - 6/30/2012 |
| Dainius Dzindzalieta | Vilnius State University | 9/1/2011 - 12/22/2011 |
| Leonardo Espin | NONE | 9/1/2011 - 6/30/2012 |
| Carlos Andres Garavito-Garzon | University of Minnesota | 9/8/2011 - 6/30/2012 |
| Yulia Hristova | University of Minnesota | 9/1/2010 - 8/31/2012 |
| Gilad Lerman | University of Minnesota | 9/1/2011 - 6/30/2012 |
| Wenbo Li | University of Delaware | 9/1/2011 - 5/30/2012 |
| Xin Liu | University of Minnesota | 8/31/2011 - 8/30/2012 |
| Shiqian Ma | University of Minnesota | 8/31/2011 - 8/30/2013 |
| Yu (David) Mao | University of Minnesota | 8/31/2010 - 8/30/2012 |
| Gabriela MartÃnez | University of Minnesota | 8/31/2011 - 8/30/2013 |
| Saurabh Mishra | Eagan High School | 8/22/2011 - 12/31/2011 |
| Dimitrios Mitsotakis | University of Minnesota | 10/27/2010 - 8/31/2012 |
| Luke Olson | University of Illinois at Urbana-Champaign | 9/1/2011 - 12/31/2011 |
| Mary Therese Padberg | University of Iowa | 8/16/2011 - 1/31/2012 |
| Candice Renee Price | University of Iowa | 8/1/2011 - 7/31/2012 |
| Weifeng (Frederick) Qiu | University of Minnesota | 8/31/2010 - 8/30/2012 |
| Guillermo R. Sapiro | University of Minnesota | 9/1/2011 - 5/31/2012 |
| Brian J. Stankiewicz | 3M | 12/2/2011 - 12/2/2011 |
| Arthur Szlam | University of Minnesota | 8/31/2011 - 8/30/2012 |
| Jared Tanner | University of Edinburgh | 9/19/2011 - 12/5/2011 |
| Divyanshu Vats | University of Minnesota | 8/31/2011 - 8/30/2012 |
| Lan Wang | University of Minnesota | 9/1/2011 - 5/12/2012 |
| Ke Wei | University of Edinburgh | 10/10/2011 - 12/10/2011 |
| Elisabeth Werner | Case Western Reserve University | 9/1/2011 - 12/3/2011 |
| Lingzhou Xue | University of Minnesota | 9/1/2011 - 6/30/2012 |
| Ofer Zeitouni | University of Minnesota | 9/1/2011 - 12/9/2011 |
| Teng Zhang | University of Minnesota | 8/31/2011 - 8/30/2012 |