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The Incompatibility of SD-Efficiency and SD-Strategy-Proofness

This formalisation contains the proof that there is no anonymous and neutral Social Decision Scheme for at least four voters and alternatives that fulfils both SD-Efficiency and SD-Strategy-Proofness. The proof is a fully structured and quasi-human-redable one. It was derived from the (unstructured) SMT proof of the case for exactly four voters and alternatives by Brandl et al. [1]. Their proof...

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12-SD Samantaray

SUMMARY Consider a regression problem in which there are many more explanatory variables than data points, i.e., p >> n. Essentially, without reducing the number of variables inference is impossible. So, we group the p explanatory variables into blocks by clustering, evaluate statistics on the blocks and then regress the response on these statistics under a penalized error criterion to obtain e...

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In many computer-implemented signal-processing systems, it is necessary to perform numerical integrations. If the function to be integrated is a band-limited time signal represented by a set of samples, serious distortion can occur if the wrong integration technique is used. In particular, if the integration is used to calculate a Fourier transform, large error sidelobes will be introduced if S...

12-SD Samantaray