is the sample size. Moreover no estimator can give a better guarantee than this. Within the class of spatially adaptive procedures, RiskShrink is essentially optimal. Relying only on the data, it comes within a factor log 2 n of the performance of piecewise polynomial and variable-knot spline methods equipped

by the principle of minimizing the Stein Unbiased Estimate of Risk (Sure) for threshold estimates. The computational effort of the overall procedure is order N log(N) as a function of the sample size N. SureShrink is smoothness-adaptive: if the unknown function contains jumps, the reconstruction (essentially) does

for transmitting encoded content in this scenario, arguing for the digital fountain approach which en-ables end-hosts to efficiently restitute the original content of size n from a subset of any n symbols from a large universe of encoded symbols. Such an approach affords reliability and a substantial de

chain model of order ¡ or greater was found to be necessary to accurately model the rest of the segments. For the case of adaptive applications which track loss, we address two issues of on-line loss estimation: the required memory size and whether to use exponential smoothing or a sliding window

) that are now frequently used to describe gene association networks and to detect conditionally dependent genes. Our new approach is based on (i) improved (regularized) small-sample point estimates of partial correlation, (ii) an exact test of edge inclusion with adaptive estimation of the degree of freedom

Recently we have proposed an adaptive, random sampling algorithm for general query size estlmatlon In earlier work we analyzed the asymptotic ef’l?clency and accuracy of the algorithm, m this paper we mvestlgate Its practlcahty as applied to selects and Jams First, we extend our previous analysis

of candidate sets and the margin parameter. The dependence is explicitly given, indicating that optimal fast rates approaching O(n−1) can be attained, where n is the sample size, and that the proposed classifiers have the property of robustness to the margin. The main result of the paper concerns optimal

Over the last years, particle filters have been applied with great success to a variety of state estimation problems. In this paper we present a statistical approach to increasing the efficiency of particle filters by adapting the size of sample sets during the estimation process.

this paper we use m i ( j ) N ( j ; i , s ), with the scale parameter s specifying the expected size of a neighborhood on the manifold in sample space. A reasonable choice is s = r/2, so that 2erf(2) > 99.5% of the density of m i ( j ) is contained in the area around y i where the manifold

algorithms that use working set signatures to 1) detect working set changes and trigger re-tuning; 2) identify recurring working sets and re-install saved optimal reconfigurations, thus avoiding the time-consuming tuning process; 3) estimate working set sizes to configure caches directly to the proper size