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Seminari Vladik Kreinovich a Roma
AVVISO
SEMINARI
Il prof. Vladik Kreinovich (Department of Computer Science, University of
Texas at El Paso, USA)
terra' due seminari presso il Dipartimento ME.MO.MAT. (Metodi e Modelli
Matematici) dell'Universita' "La Sapienza", Via Scarpa 16,
Roma, con il seguente calendario
____________________________________________
MERCOLEDI 15 MARZO, ore 12 (aula 1B1, Pal.B)
Data Processing Under Imprecise Probabilistic Uncertainty:
Computational Challenges
ABSTRACT - Given a data processing algorithm y=f(x_1,..,x_n), we
have partial information about the probability of different values of
x_1,...,x_n, and we want to estimate uncertainty of y. Since it is
NP-hard even for interval uncertainty and quadratic f, we need to find
classes of problems for which efficient algorithms are possible; and for
problems outside these classes, find efficient techniques for
approximating uncertainty of y. We discuss also the general approach
based on interval-type step-by-step techniques and some relevant open
problems.
_____________________________________________
MERCOLEDI 15 MARZO, ore 14:30 (aula 2E, Pal.E)
Application-Motivated Combinations of Fuzzy, Interval, and Probability
Approaches, with Application to Geoinformatics, Bioinformatics, and
Engineering
ABSTRACT - Most data processing techniques traditionally used in
scientific and engineering practice are statistical. These techniques are
based on the assumption that we know the probability distributions of
measurement errors etc. In practice, often, the only information that we
have about the actual (unknown) value x of the measured quantity is hat x
belongs to the interval [X-D,X+D]. Often, in addition to (or instead of)
the guaranteed upper bound on the measurement error, we have expert
estimates formulated in terms of natural language, like "the value
of x is small" (to adequately describe such linguistic uncertainty,
Professor Zadeh invented the ideas of fuzzy sets, fuzzy logics, and fuzzy
data processing techniques). In many practical problems, we have a
combination of different types of uncertainty, such as interval, fuzzy,
and combined. The purpose of this talk is to describe the theoretical
background for interval and combined techniques, to describe the existing
practical applications, and ideally, to come up with a roadmap for such
techniques. We extend interval techniques to the situations when, in
addition to intervals, we also have a partial probabilistic and/or fuzzy
information. We give a brief overview of these techniques, and we
emphasize the following three application areas: computer
engineering, bioinformatics, and geoinformatics.
________________________________________________
Gli interessati sono cordialmente invitati a partecipare
Romano Scozzafava
Dipartimento Metodi e Modelli Matematici
Universita' "La Sapienza"
Via Scarpa 16 - 00161 ROMA (Italy)
Tel. +39 06 49766645
Fax +39 06 4957647
http://www.dmmm.uniroma1.it/~scozzafava
e-mail: romscozz@dmmm.uniroma1.it