[Statlist] talks on statistics
Susanne Kaiser-Heinzmann
kaiser at stat.math.ethz.ch
Mon Apr 28 12:19:12 CEST 2008
ETH and University of Zurich
Proff.
A.D. Barbour - P. Buehlmann - F. Hampel - L. Held
H.R. Kuensch - M. Maathuis - S. van de Geer
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We are glad to announce the following talks
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Friday, May 9, 2008, 15.15-17.00, LEO C6
Estimation of Optimal Dynamic Anticoagulation Regimes from
Observational Data: A Regret-Based Approach
Robin Henderson, Newcastle University, UK
Dynamic regimes are employed when decisions have to be made reactively
as data becomes available though time. As an example consider the
problem of dosage selection for any of the two million European patients
who are provided with long term anticoagulation. Optimal dose does not
just vary between patients, it varies within patients over time in
response to short-term changes in lifetsyle or diet. At a clinic visit
at timepoint t the physician needs to review the state S(t) of the
patient and then make a decision as to what what action A(t), is needed,
such as what dose to prescribe. We assume that the goal of the
actions/treatments is to maximise some final quantity Y.
Dynamic programming methodology provides the traditional approach to
determining decision rules to optimise Y. This requires a model of the
consequences which an action at each t will have on both the final value
Y and all interim states {S(t+u)}. This is a direct approach. However,
there are many computational problems unless there are only low numbers
of possible states and actions.
An alternative approach, designed to be applicable to complex
observational data, is to avoid modelling the direct consquences of an
action but instead to take an assumed parametric form for the difference
in expected final outcomes Y given two possible decisions (Moodie et al,
Biometrics 2007). Modelling and estimation under such an indirect
approach is described in this talk, and an application on
antocoagulation is presented.
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Friday, May 16, 2008, 15.15-17.30, LEO C6,
Non-asymptotic variable identification via the Lasso
and the elastic net
Florentina Bunea, Florida State University
The topic of $\ell_1$ regularized or Lasso type estimation has received
considerable attention over the past decade. Recent theoretical advances
have been mainly concerned with the risk of the estimators and
corresponding sparsity oracle inequalities. In this talk we will
investigate the quality of the $\ell_1$ penalized estimators from a
different perspective, shifting the emphasis to non-asymptotic variable
selection, which complements the consistent variable selection
literature. Our main results are established for regression models, with
emphasis on the square and logistic loss. The identification of the
tagged SNPs associated with a disease, in genome wide association
studies, provides the principal motivation for this analysis. The
performance of the method depends crucially on the choice of the tuning
sequence and we discuss non-asymptotic choices for which we can correctly
detect sets of variables associated with the response at any
pre-specified confidence level. These tuning sequences are different for
the two loss functions, but in both cases larger than those required for
best risk performance. The stability of the design matrix is another
major issue in correct variable selection, especially when the total
number of variables exceeds the sample size. A possible solution is
provided by further regularization, for instance via an $\ell_1 + \ell_2$
or elastic net type penalty. We discuss the merits and limitations of
this method in the same context as above.
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_______________________________________________________
Christina Kuenzli <kuenzli at stat.math.ethz.ch>
Seminar fuer Statistik
Leonhardstr. 27, LEO D11 phone: +41 (0)44 632 3438
ETH-Zentrum, fax : +41 (0)44 632 1228
CH-8092 Zurich, Switzerland http://stat.ethz.ch/~
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