Oct 27, 2017 - random variables. The key to this description is the encoding of con- ditional independence statements in
BMS Friday Colloquium Friday 27 October 2017 at 14:15 Tea & Cookies starting at 13:00 BMS Loft, Urania, An der Urania 17, 10787 Berlin
Steffen L. Lauritzen (U Copenhagen) BAXTER INTERNATIONAL
Graphical Models
REGIONS FINANCIAL
U S BANCORP WYETH
MERCK
PFIZER BRISTOL MYERS SQUIBB
WELLS FARGO BANK OF AMERICA JPMORGAN CHASE BANK OF NEW YORK MELLON
ABBOTT LABORATORIES JOHNSON & JOHNSON
WACHOVIA CORP 2ND
PROCTER & GAMBLE DISNEY WALT
CITIGROUP
AMERICAN INTERNATIONAL GROUP
EXELON
COCA COLA
AMERICAN EXPRESS PEPSICO
CAMPBELL SOUP
ENTERGY COLGATE PALMOLIVE
HEINZ H J
SARA LEE
SOUTHERN
GENERAL ELECTRIC
MORGAN STANLEY DEAN WITTER
MERRILL LYNCH
AVON PRODUCTS
AMERICAN ELECTRIC POWER ORACLE BURLINGTON NORTHER
WAL MART STORES
BOEING
TEXAS INSTRUMENTS E M C CORP MA
HOME DEPOT
NORFOLK SOUTHER
UNITED TECHNOLOGIES MEDTRONIC TARGET
APPLE INTEL
HONEYWELL INTERNATIONAL
HEWLETT PACKARD DELL TYCO INTERNATIONAL LTD BERMUDA
CBS
ALCOA
MICROSOFT
INTERNATIONAL PAPER GENERAL DYNAMICS INTERNATIONAL BUSINESS MACHS COR
DOW CHEMICAL WILLIAMS
WEYERHAEUSER
XEROX
CATERPILLAR RAYTHEON
3M FORD MOTOR
DU PONT E I DE NEMOURS FEDEX
SPRINT NEXTEL BAKER HUGHES
OCCIDENTAL PETROLEUM
VERIZON COMMUNICATIONS AT&T
C V S CAREMARK
HALLIBURTON
Graphical models can be traced back to at least Ising (physics) and Wright (genetics) and are statistical or probabilistic models, which describe complex relationships among a potentially large number of random variables. The key to this description is the encoding of conditional independence statements in a mathematical graph associated with the model. This encoding ensures modularity and simplifications in specification, interpretation, communication, and computation associated with the application of the models. Graphical models are now applied in an abundance of contexts, for example in digital communication, machine learning, causal inference, image analysis, genetics, decision support, social sciences, and forensic science. Similarly, a variety of graphs have been associated with the models, including undirected graphs, directed acyclic graphs, bidirected graphs, and mixed graphs with several types of edges involved.
CHEVRON CONOCOPHILLIPS
CIGNA COMCAST
SCHLUMBERGER STEAK N SHAKE MCDONALDS
ALTRIA GROUP UNITEDHEALTH GROUP
EXXON MOBIL AMGEN
© Steffen L. Lauritzen
In his lecture, Lauritzen shall give a brief overview of the historic development of graphical models and their applications, the variety of graphs used, some highlights of existing mathematical results, and current important research topics and challenges. Steffen L. Lauritzen is professor of statistics at the University of Copenhagen. His main research interests include graphical models and their applications. Lauritzen’s awards include the 1996 Guy Medal in Silver, the Knight of the Order of Dannebrog in 1999, the 2001 DeGroot Prize, and a Humboldt Research Award in 2016. He was elected to the Royal Danish Academy of Sciences and Letters in 2008 and elected as a Fellow of the Royal Society in 2011.
www.math-berlin.de