1,128 research outputs found

    Averaging of density kernel estimators

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    Averaging provides an alternative to bandwidth selection for density kernel estimation. We propose a procedure to combine linearly several kernel estimators of a density obtained from different, possibly data-driven, bandwidths. The method relies on minimizing an easily tractable approximation of the integrated square error of the combination. It provides, at a small computational cost, a final solution that improves on the initial estimators in most cases. The average estimator is proved to be asymptotically as efficient as the best possible combination (the oracle), with an error term that decreases faster than the minimax rate obtained with separated learning and validation samples. The performances are tested numerically, with results that compare favorably to other existing procedures in terms of mean integrated square errors

    Clearing algorithms and network centrality

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    I show that the solution of a standard clearing model commonly used in contagion analyses for financial systems can be expressed as a specific form of a generalized Katz centrality measure under conditions that correspond to a system-wide shock. This result provides a formal explanation for earlier empirical results which showed that Katz-type centrality measures are closely related to contagiousness. It also allows assessing the assumptions that one is making when using such centrality measures as systemic risk indicators. I conclude that these assumptions should be considered too strong and that, from a theoretical perspective, clearing models should be given preference over centrality measures in systemic risk analyses

    Thermodynamics of aggregation of two proteins

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    We investigate aggregation mechanism of two proteins in a thermodynamically unambiguous manner by considering the finite size effect of free energy landscape of HP lattice protein model. Multi-Self-Overlap-Ensemble Monte Carlo method is used for numerical calculations. We find that a dimer can be formed spontaneously as a thermodynamically stable state when the system is small enough. It implies the possibility that the aggregation of proteins in a cell is triggered when they are confined in a small region by, for example, being surrounded by other macromolecules.We also find that the dimer exhibits a transition between unstable state and metastable state in the infinite system.Comment: jpsj2.cls, 7 pages, 14 figures; misconfigurations of Fig.Nos. correcte

    A novel thiol-labile cysteine protecting group for peptide synthesis based on a pyridazinedione (PD) scaffold

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    Herein we report a thiol-labile cysteine protecting group based on an unsaturated pyridazinedione (PD) scaffold. We establish compatibility of the PD in conventional solid phase peptide synthesis (SPPS), showcasing this in the on-resin synthesis of biologically relevant oxytocin. Furthermore, we establish the applicability of the PD protecting group towards both microwave-assisted SPPS and native chemical ligation (NCL) in a model system

    Multiple configurations of N-methylpyrrole binding on Si(111)-7×7

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    The adsorption configurations of N-methylpyrrole on Si(111)-7×7 were investigated using high-resolution electron energy-loss spectroscopy, x-ray photoelectron spectroscopy (XPS), scanning tunneling microscopy (STM), and density function theory calculations. Compared to physisorbed N-methylpyrrole, chemisorbed molecules present a different vibrational feature at 2886 cm-1 attributable to ν[(Si)Csp3-H] in addition to the vibrational features of (sp2)Cα-H (3106 cm-1), (sp2)Cβ-H (3050 cm-1), and C—H of CH3 (2944 cm-1) stretching modes, demonstrating the direct interaction between C=C bonds and Si(111)-7×7. The major change of N 1s XPS spectrum of N-methylpyrrole upon chemisorption strongly suggests the coexistence of two chemisorption states, further confirmed in the strong dependence of STM image features on the sample bias together with statistical analysis. The concurrent occurrence of [4+2] and [2+2] cycloadditions is proposed to account for these two adsorption configurations of N-methylpyrrole on Si(111)-7×
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