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Robust robust model reduction

Proceedings of the 2004 American Control Conference, 2004
The problem of linear model reduction is addressed. Given a state-space model of a linear time-invariant system, a model of prescribed order is obtained such that the H/sub 2/-norm of the difference between the transference of the two models is minimized. The reduced model is modeled as having the same order as the system but with a nonminimal observer
Y. Halevi, U. Shaked
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Robust Statistics [PDF]

open access: possible, 2011
The first example involves the real data given in Table 1 which are the results of an interlaboratory test. The boxplots are shown in Fig. 1 where the dotted line denotes the mean of the observations and the solid line the median. We note that only the results of the Laboratories 1 and 3 lie below the mean whereas all the remaining laboratories return ...
Gather, Ursula, Davies, P. Laurie
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Biological robustness

Nature Reviews Genetics, 2004
Robustness is a ubiquitously observed property of biological systems. It is considered to be a fundamental feature of complex evolvable systems. It is attained by several underlying principles that are universal to both biological organisms and sophisticated engineering systems.
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Robust Matchings

SIAM Journal on Discrete Mathematics, 2002
Summary: We consider complete graphs with nonnegative edge weights. A \(p\)-matching is a set of \(p\) disjoint edges. We prove the existence of a maximal (with respect to inclusion) matching \(M\) that contains for any \(p\leq|M|\) \(p\) edges whose total weight is at least \({1\over \sqrt 2}\) of the maximum weight of a \(p\)-matching.
Hassin, Refael, Rubinstein, Shlomi
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Robust Regression

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2012
Discriminative methods (e.g., kernel regression, SVM) have been extensively used to solve problems such as object recognition, image alignment and pose estimation from images. These methods typically map image features ( X) to continuous (e.g., pose) or discrete (e.g., object category) values. A major drawback of existing discriminative methods is that
Dong, Huang   +2 more
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Robust dynamics

Nature Chemistry, 2010
Although metal-organic frameworks are extensive in number and have found widespread applications, there remains a need to add complexity to their structures in a controlled manner. It is inevitable that frameworks capable of dynamics will be required. However, as in other extended structures, when they are flexible, they fail.
Hexiang, Deng   +3 more
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Developmental Robustness

Annals of the New York Academy of Sciences, 2002
Abstract: Developmental robustness, the capacity to stay “on track” despite the myriad vicissitudes that inevitably plague a developing organism, is, I argue, a prerequisite for natural selection and key to our understanding of the evolution of developmental processes. But how is such robustness achieved?
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