Uncertainty-Based Queries

[Grace Wahba]

Re: Uncertainty Based Queries in Neural Networks: 
    D. Cohn abstract of talk at Colorado State: 
    ml-connectionists distribution Apr 7, 1993

Various forms of the interesting problem discussed 
in the above abstract have been studied in the statistics
literature (in different language, naturally!) under
the rubric `experimental design'- The Current Index 
to Statistics database here lists 5430 articles under 
`design', a non-trivial proportion of which are in the 
general context of allowing to choose x and observe 
f(x), or, a noise-corrupted version of f(x), in order
to learn something about f. 
.see also:
Sacks, Welch, Mitchell and Wynn, 
Design and analysis of computer experiments, 
with discussion
Statistical Science, 4, 409-423, 1989.
.
Athavale and Wahba, Determination of an 
optimal mesh for a collocation-projection 
method for solving two-point boundary value problems, 
J. Approx. Theory, 25, 38-49, 1979.
.
Wahba, Parameter estimation in linear dynamic
systems, IEEE Trans. Automatic Control, 
AC-25, 235-238, 1980

  Grace Wahba wahba at stat.wisc.edu