DIMACS/CCICADA Interdisciplinary Seminar Series Presents ***************************************************************** Title: On a recent impossibility result for judgment aggregations Speaker: Branden Fitelson, Rutgers University Date: Monday, November 1, 2010 12:00 - 1:00 pm Location: DIMACS Center, CoRE Bldg, Room 431, Rutgers University, Busch Campus, Piscataway, NJ ******** Abstract: Recently, Cariani et al have reported a fascinating new impossibility theorem for judgment aggregation. In this talk, I will provide the background necessary to understand this new result, and I will try to explain how it is related to other, similar results in contemporary logic and philosophy of science. Branden Fitelson is a Professor in the Philosophy Department at Rutgers University. He was formerly a Professor at Berkeley in the Philosophy, Cognitive Science and Logic Group. His main areas of interest are probability and inductive inference, logic and reasoning. ***************************************************************** Title: Multi-restricted numbers and Multi-restrained Stirling numbers Speaker: Ji Young Choi, DIMACS Visiting Researcher Date: Monday, November 8, 2010 12:00 - 1:00 pm Location: DIMACS Center, CoRE Bldg, Room 431, Rutgers University, Busch Campus, Piscataway, NJ ****** Abstract: Given a positive integer m and nonnegative integers n and k, the (n,k)-th m-restricted Stirling number of the second kind is the number of partitions of an n-set with k nonempty subsets of size less than or equal to m, and the (n,k)-th m-restrained Stirling number of the first kind is the number of permutations of an n-set with k disjoint cycles of length less than or equal to m. In this talk, their explicit formulae, recurrence relations, generating functions, and one way to extend the numbers for negative integer n and k will be presented. Bio: Ji Young was born in Busan, Korea, and came to the states for graduate school where she earned her Ph. D. in Mathematics at Iowa State University in 2002 with the thesis: Multi-restricted numbers and powers of permutation representations, supervised by Dr. Jonathan D. H. Smith. Ji Young is an associate professor in the Department of Mathematics at Shippensburg University of Pennsylvania and currently she is on sabbatical as a DIMACS visiting researcher. Her research interests include topics in Algebra and Combinatorics. ***************************************************************** Title: Interactive Model Learning from High-Dimensional Data: A Visual Analytics Approach Speaker: Klaus Mueller, Stony Brook University Date: Monday, November 22, 2010 12:00 - 1:00 pm Location: DIMACS Center, CoRE Bldg, Room 431, Rutgers University, Busch Campus, Piscataway, NJ ****** Abstract: The growth of digital data is tremendous. Any aspect of life and matter is being recorded and stored on cheap disks, either in the cloud, in businesses, or in research labs. We can now afford to explore very complex relationships with many variables playing a part. But for this we need powerful tools that allow us to be creative, to sculpt this intricate insight from the raw block of data and finally create a formal model capturing this insight. This process of learning models from raw data typically requires a substantial amount of user input during the model initialization phase. High-quality visual feedback can play a decisive role here. To this end, I will present an assistive visualization system which greatly reduces the load on the users and makes the process of model initialization and refinement more interactive and efficient. In addition, I will also discuss various platforms we have developed over the years to make the exploration of multivariate (high-dimensional) data more intuitive and direct. Here I will discuss our recent work on illustrative parallel coordinates, space embedding, and multivariate scatterplots.