Invited Speakers
We are pleased to announce the following invited talks
for the 8th Symposium on Artificial Intelligence
and Mathematics, January 4-6, 2004 in Fort Lauderdale,
Florida.
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Robert Bixby, ILOG Inc.
The New Generation of Mixed-Integer Programming Codes
Dantzig, Fulkerson, and Selmer Johnson laid the foundation for
modern-day integer programming computation in their 1954 paper using
linear programming methods to solve a certain 49-city traveling
salesman problem. In the 1960s, Gomory made important theortical
contributions to the subject, and in the 1970s the practical use of
integer programming took a significant step forward with the
introducion of two powerful, commercial integer programming codes:
MPSX/370 (IBM) and UMPIRE (SCICONIC). In the years that followed,
integer programming computational research flourished, with important
work by Groetschel, Ellis Johnson, Padberg, Wolsey and others.
However, virtually all of that work remained isolated in largely
academic codes. From the mid 1970s through the late 1990s, commercial
integer programming codes got faster, but only because linear
programming and computing machines got faster; the
underlying integer-programming methodolgies remained essentially
unchanged. In the last several years, that situation has changed
dramatically, with the development of a newer generation of commerical
codes incorporating most of the important computational advances from
the previous two decades. The real achievement of these codes, and a
central theme of this talk, is the integration of a wide collection of
methods and ideas in one algorithmic framework with robust default
behavior, capable of solving a significant fraction of integer-programming
instances encountered in practice.
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Ronen Brafman, Ben-Gurion University, Israel
Preference-Based Constrained Optimization with CP-Nets
Consider the problem of providing users with tools that enable optimal
selection of configurable products, such as, vacation packages, personal
computers, or even a personalized newspaper. These configuration problems
can be formulated abstractly as constrained-optimization problems: Find the
best (given the users preferences) vacation satisfying various constraints
(duration, price, etc.). This class of constrained optimization problem,
which we refer to as "preference-based constrained optimization" differs
from the classical constrained optimization problems studied in applied
mathematics and OR. Rather than real-valued variables we are mostly dealing
with discrete variables with finite domains, and instead of real-value
objective functions, we have the amorphous notion of "user preferences". To
formulate this class of problems properly, we need to more carefully specify
their input, bearing in mind that this information must be realistically
obtainable from the type of users we have in mind. We must also provide
efficient solution algorithms, so that this approach is usable in on-line
applications. In this talk I will describe CP-networks, a
knowledge-representation structure that exploits the notion of conditional
preferential independence to enable convenient preference elicitation and
representation. I will explain their basic properties and I will show how we
can do preference-based constrained optimization given a CP-net efficiently.
To illustrate these ideas, I will describe and demonstrate a tool we
recently built for personalization of synchronized rich-media presentations.
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Henry Kautz, University of Washington, USA
Toward a Universal Inference Engine
In the early days of AI some researchers proposed that intelligent
problem solving could be reduced to the application of general purpose
theorem provers to an axiomatization of commonsense knowledge.
Although automated first-order theorem proving was unwieldy, general
reasoning engines for propositional logic turned out to be
surprisingly efficient for a wide variety of applications. Still many
problems of interest to AI involve probabilities or quantification,
and would seem to be beyond propositional methods. However, recent
research has shown that the basic backtrack search algorithm for
satisfiability generalizes to a strikingly efficient approach for
broader classes of inference. We may be on the threshold of
achieving the old dream of a universal inference engine.