Wavelet frame bijectivity on Lebesgue and Hardy spaces

We prove a sufficient condition for frame-type wavelet series in $L^p$, the Hardy space $H^1$, and BMO. For example, functions in these spaces are shown to have expansions in terms of the Mexican hat wavelet, thus giving a strong answer to an old question of Meyer. Bijectivity of the wavelet frame operator acting on Hardy space is established with the help of new frequency-domain estimates on the Calder\'on-Zygmund constants of the frame kernel.Comment: 23 pages, 7 figure

Understanding the Success of Sharing Economy Startups: A Necessary Condition Analysis

Sharing economy businesses such as Uber and AirBnB have disrupted the traditional business models and drawn considerable attention from researchers. While many sharing economy startups are found, a majority of them go unnoticed and fail to reach a critical mass for survival. Prior studies have mostly focused on consumer engagement as success factors for sharing economy businesses. Yet, there is a scarcity of research on success factors at the entry level of sharing economy businesses, namely, the fundraising rounds. This study uses a Necessary Condition Analysis (NCA) on 99 sharing economy startups to explore how human capital, innovativeness, and entrepreneurial footprint impact their fundraising success. Our findings show a large necessary effect for human capital and entrepreneurial footprint, and a medium effect for innovativeness on fundraising success. Additionally, firms only need a range of 30% to 40% level of three factors to achieve at least 40% level of fundraising success

Cross-Language Learning for Program Classification using Bilateral Tree-Based Convolutional Neural Networks

Towards the vision of translating code that implements an algorithm from one programming language into another, this paper proposes an approach for automated program classification using bilateral tree-based convolutional neural networks (BiTBCNNs). It is layered on top of two tree-based convolutional neural networks (TBCNNs), each of which recognizes the algorithm of code written in an individual programming language. The combination layer of the networks recognizes the similarities and differences among code in different programming languages. The BiTBCNNs are trained using the source code in different languages but known to implement the same algorithms and/or functionalities. For a preliminary evaluation, we use 3591 Java and 3534 C++ code snippets from 6 algorithms we crawled systematically from GitHub. We obtained over 90% accuracy in the cross-language binary classification task to tell whether any given two code snippets implement a same algorithm. Also, for the algorithm classification task, i.e., to predict which one of the six algorithm labels is implemented by an arbitrary C++ code snippet, we achieved over 80% precision

Evaluating Enterprise Architecture Frameworks Using Essential Elements

Enterprise architecture (EA) frameworks offer principles, models, and guidance to help one develop an EA program. Due to EA’s flexible and abstract nature, there is a proliferation of EA frameworks in practice. Yet, comparison studies to make sense of them are far from satisfactory in that they lack a theoretical foundation for comparison criteria and do not meaningfully interpret the differences. In this paper, I propose a comparison approach using EA essential elements—the underlying key features of EA programs—to distinguish EA frameworks. Based on the extant literature, I identify eight elements, each with its own theoretical justification and empirical evidence. I illustrate how to use these elements to evaluate eight popular EA frameworks. The results show three ideal types of EA frameworks: technical, operational, and strategic EA. Each type has a different focus, set of assumptions, and historical context. The essential elements offer a more systematic way to evaluate EA frameworks. In addition, they shift attention from the maturity models often used in EA development to focus on particular EA elements being implemented by organizations

A shared cis-regulatory module activates transcription in the suspensor of plant embryos.

The mechanisms controlling the transcription of gene sets in specific regions of a plant embryo shortly after fertilization remain unknown. Previously, we showed that G564 mRNA, encoding a protein of unknown function, accumulates to high levels in the giant suspensor of both Scarlet Runner Bean (SRB) and Common Bean embryos, and a cis-regulatory module containing three unique DNA sequences, designated as the 10-bp, Region 2, and Fifth motifs, is required for G564 suspensor-specific transcription [Henry KF, et al. (2015) Plant Mol Biol 88:207-217; Kawashima T, et al. (2009) Proc Natl Acad Sci USA 106:3627-3632]. We tested the hypothesis that these motifs are also required for transcription of the SRB GA 20-oxidase gene, which encodes a gibberellic acid hormone biosynthesis enzyme and is coexpressed with G564 at a high level in giant bean suspensors. We used deletion and gain-of-function experiments in transgenic tobacco embryos to show that two GA 20-oxidase DNA regions are required for suspensor-specific transcription, one in the 5' UTR (+119 to +205) and another in the 5' upstream region (-341 to -316). Mutagenesis of sequences in these two regions determined that the cis-regulatory motifs required for G564 suspensor transcription are also required for GA 20-oxidase transcription within the suspensor, although the motif arrangement differs. Our results demonstrate the flexibility of motif positioning within a cis-regulatory module that activates gene transcription within giant bean suspensors and suggest that G564 and GA 20-oxidase comprise part of a suspensor gene regulatory network

Sharing Intention of Politicized News on Social Media: Mediators and Moderators

Social media is now full of news, much of it politicized news that intends to draw attention and provoke a reaction from users. Prior studies have suggested the importance of social influence on driving sharing intention of news on social media. This study contributes to this discourse by examining the various mediators and moderators for such relationships. Particularly, we examine whether credibility and trust can mediate the relationship between social influence and sharing intention; and whether news type and social identity can moderate such a relationship too. Based on a survey of 802 respondents, we found evidence to support our hypothesized moderation and mediation relationship. What stands out is that among the social influences, credibility and trust only partially mediate the effects of injunctive norms on sharing intention. This suggests that social norms in different cultures and settings can play different roles in the sharing intention of news on social media