American Statistical Association
New York City
Metropolitan Area Chapter

Mailman School of Public Health
Columbia University
Department of Biostatistics Special Seminar



nFCA: NUMERICAL FORMAL CONCEPT ANALYSIS

by

Jiayang Sun, Ph.D.
Professor of Statistics
Case Western Reserve University
http://sun.cwru.edu/


Abstract

In this talk, we introduce our Numerical Formal Concept Analysis (nFCA) technique. Formal Concept Analysis (FCA) is a powerful method in computer science (CS) for identifying overall inherent structures within and between the row and column variables (called objects and attributes in CS) of a binary data set. It is a bit like lifting up the overall hierarchical structure of a forest from a superposition based on simple local information, i.e. pairwise relationships between variables of the data. The objective of nFCA is to combine FCA and statistics to translate what an FCA can offer for binary data to numerical data. The end product of our nFCA is a pair of nFCA graphs, where the H-graph is a clustered lattice graph indicating inherent hierarchical and clustered relations and the I-graph is a complementary tree plot indicating the strength and directions of each of the relations and additional network relationships. The nFCA performs better than the conventional hierarchic al clustering methods in terms of the Cophenetic correlation coefficient and the relational structure. Its application to a social network and cardiovascular (CV) traits data will be demonstrated.

This is joint work with Junheng Ma and GQ Zhang.

Biographical Note

Dr. Jiayang Sun is a Professor of Statistics, and a Professor of Epidemiology and Biostatistics at Case Western Reserve University. She is an elected Fellow of the American Statistical Association (ASA), an elected Fellow of the Institute of Mathematical Statistics (IMS), and an elected Member of the International Statistical Institute (ISI). Her statistical research areas include simultaneous inference/multiple testing, biased sampling, mixtures and image analysis, measurement error problems, random fields, statistical computing and graphics, bioinformatics and data mining. Her interdisciplinary work reaches cancer, dental, orthopedics, surgery, radiology and other medical sciences, as well as astronomy, law and computer science. Her research has been supported by awards from the NSF, NIH, NSA and VA.


Date: Monday, October 18, 2010
Time: 11:30 A.M. - 12:30 P.M.
Location: Mailman School of Public Health
Department of Biostatistics
722 West 168th Street
Biostatistics Conference Room
6th Floor - Room 627
New York, New York

RESERVATIONS ARE NOT REQUIRED


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