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It is known that a sub-linear rate of source-independent random seed (common randomness) can enable the construction of lossless compression codes whose output is nearly uniform under the variational distance (Chou-Bloch-ISIT'13). This work uses finite-blocklength techniques to present an alternate proof that for near-uniform lossless compression, the seed length has to grow strictly larger than √n,...
Performance evaluation in particle filtering problems is commonly performed via point estimator comparison. However, in non-Gaussian cases, this can be not always meaningful and entire particle clouds need to be compared. The Kullback-Leibler divergence (KLD) can be used for such a particle cloud comparison. In contrast to KLD estimates commonly used in particle filtering applications, we present...
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