20,347 research outputs found

    Fast and Adaptive Sparse Precision Matrix Estimation in High Dimensions

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    This paper proposes a new method for estimating sparse precision matrices in the high dimensional setting. It has been popular to study fast computation and adaptive procedures for this problem. We propose a novel approach, called Sparse Column-wise Inverse Operator, to address these two issues. We analyze an adaptive procedure based on cross validation, and establish its convergence rate under the Frobenius norm. The convergence rates under other matrix norms are also established. This method also enjoys the advantage of fast computation for large-scale problems, via a coordinate descent algorithm. Numerical merits are illustrated using both simulated and real datasets. In particular, it performs favorably on an HIV brain tissue dataset and an ADHD resting-state fMRI dataset.Comment: Maintext: 24 pages. Supplement: 13 pages. R package scio implementing the proposed method is available on CRAN at https://cran.r-project.org/package=scio . Published in J of Multivariate Analysis at http://www.sciencedirect.com/science/article/pii/S0047259X1400260

    Açai (Euterpe oleracea) in the Amazon: until when a non-timber forest product?

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    Until the 1990s the açai was a product basically of local consumption in the states or the Brazilian Amazon, being even known as "food of the poor". Since then, following the expansion of its market, the exploitation or this fruit has undergone numerous transformations. Nowadays. besides being nationally known, it also has its demand expanded in the international markets, being considered now as a superfood. Such increase in demand has consequently influenced an increase in consumer prices and in most cases in the remuneration of extractivists, originally the exclusive suppliers of the fruit. The increase in supply has been due to the multiplication and diversification or actors in the chain, as well as the diversification of management and production practices (native acai trees densification, increase or monoculture or consortium plantations), depending on the economic context of the producing region, proximity to the industry and time in the activity of the primary suppliers. These changes can also bring vulnerability to more traditional forms and with smaller scale of production. Considering the trajectory or other extractive products that had their demands increased and, in order to meet them, had to identify substitutes, or to change the type or production system, this paper discusses, from recent data, if the main form of açai offer in the future will still remain through extraction or through cultivation systems. The paper also discusses what forms of market regulation and maintenance of traditional practices could guarantee the permanence of diversified and more sustainable systems
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