90 research outputs found

    Quantized Estimation of Gaussian Sequence Models in Euclidean Balls

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    A central result in statistical theory is Pinsker's theorem, which characterizes the minimax rate in the normal means model of nonparametric estimation. In this paper, we present an extension to Pinsker's theorem where estimation is carried out under storage or communication constraints. In particular, we place limits on the number of bits used to encode an estimator, and analyze the excess risk in terms of this constraint, the signal size, and the noise level. We give sharp upper and lower bounds for the case of a Euclidean ball, which establishes the Pareto-optimal minimax tradeoff between storage and risk in this setting.Comment: Appearing at NIPS 201

    Molecular Detection of Porcine Torovirus in Piglets with Diarrhea in Southwest China

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    Porcine torovirus (PToV) was detected from intestinal samples of piglets with diarrhea from 20 farms in southwest China. The total prevalence of PToV was 45% (9 out of 20 farms); it was the first detection of PToV in China, and also the study analyzed the phylogenetic relationships between the Chinese PToV and PToV reference strains as well as other representative toroviruses. Genetic and phylogenetic analysis showed the existence of genetic diversity among geographically separated PToV. Statistical analysis of the PToV positive rate as well as a survey for other enteric pathogens in diarrheic pigs suggests that PToV may play a role as a causative agent of severe diarrhea in piglets

    Dicylopenta­dien­yl[4-(4-vinyl­benz­yloxy)pyridine-2,6-dicarboxyl­ato]titanium(IV) monohydrate

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    The title compound, [Ti(C5H5)2(C16H11NO5)]·H2O, exhibits a titanocene unit coordinated to a styrene-substituted pyridine-2,6-dicarboxyl­ate ligand synthesized for use as a monomer for polymerization or copolymerization yielding metallocene-containing polymers. The compound crystallized as a monohydrate and the solvent water mol­ecule forms strong O—H⋯O hydrogen bonds with the carboxyl­ate O atoms of the Ti complex, which play an important role in the connection of adjacent mol­ecules. In addition, weak inter­molecular C—H⋯O hydrogen bonds also contribute to the crystal packing arrangement
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