Local-set-based Graph Signal Reconstruction

Signal processing on graph is attracting more and more attentions. For a graph signal in the low-frequency subspace, the missing data associated with unsampled vertices can be reconstructed through the sampled data by exploiting the smoothness of the graph signal. In this paper, the concept of local set is introduced and two local-set-based iterative methods are proposed to reconstruct bandlimited graph signal from sampled data. In each iteration, one of the proposed methods reweights the sampled residuals for different vertices, while the other propagates the sampled residuals in their respective local sets. These algorithms are built on frame theory and the concept of local sets, based on which several frames and contraction operators are proposed. We then prove that the reconstruction methods converge to the original signal under certain conditions and demonstrate the new methods lead to a significantly faster convergence compared with the baseline method. Furthermore, the correspondence between graph signal sampling and time-domain irregular sampling is analyzed comprehensively, which may be helpful to future works on graph signals. Computer simulations are conducted. The experimental results demonstrate the effectiveness of the reconstruction methods in various sampling geometries, imprecise priori knowledge of cutoff frequency, and noisy scenarios.Comment: 28 pages, 9 figures, 6 tables, journal manuscrip

Trauma Recovery of Tara Westover in Educated: A Memoir

Educated: A Memoir is an autobiographical novel of Tara Westover. This paper analyzes the protagonist Tara Westover’s trauma experiences and recovery process based on trauma theory. Combining trauma theory with this book can help readers better understand Tara’s experiences and deeply reveal the themes of this novel

New technologies accelerate the exploration of non-coding RNAs in horticultural plants.

Non-coding RNAs (ncRNAs), that is, RNAs not translated into proteins, are crucial regulators of a variety of biological processes in plants. While protein-encoding genes have been relatively well-annotated in sequenced genomes, accounting for a small portion of the genome space in plants, the universe of plant ncRNAs is rapidly expanding. Recent advances in experimental and computational technologies have generated a great momentum for discovery and functional characterization of ncRNAs. Here we summarize the classification and known biological functions of plant ncRNAs, review the application of next-generation sequencing (NGS) technology and ribosome profiling technology to ncRNA discovery in horticultural plants and discuss the application of new technologies, especially the new genome-editing tool clustered regularly interspaced short palindromic repeat (CRISPR)/CRISPR-associated protein 9 (Cas9) systems, to functional characterization of plant ncRNAs

The effect of environmental regulations on innovation in heavy-polluting and resource-based enterprises : Quasi-natural experimental evidence from China

Correction: The affiliation for the third author is incorrect. The correct affiliation for Xiaohan Hu is: Faculty of Agriculture and Forestry, University of Helsinki, Finland. Volume 17 Issue 7 Article Numbere 0272098 DOI 10.1371/journal.pone.0272098 Published JUL 21 2022Environmental protection regulations adopted by governments affect the microeconomic behavior of enterprises. The Chinese government began piloting the outgoing leading officials’ accountability audit of natural resources assets (OANRA) in some regions in 2014. Based on this quasi-natural experimental setting, this paper chose heavy-polluting and resource-based enterprises in pilot regions of China from 2011 to 2016 as examples for studying the impact of the OANRA on enterprise innovation and further examines the role of government subsidies in this process. The study finds that the OANRA has no significant impact on enterprise innovation. However, with support from government subsidies, the OANRA dramatically accelerates enterprise innovation investment. The results are still seen after applying propensity matching analysis (PSM), balancing panel data and deleting special provinces. Further analysis shows that this effect is more obvious among small-scale, state-owned enterprises that are located in areas with high degrees of marketization and high bank credit constraints. This study advances the research of the OANRA’s effects on the microeconomic behavior of enterprises. Moreover, the adjustment effect of government subsidies also provides great reference value to making rational use of policy to cooperate with the OANRA.Peer reviewe