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关键词： Movable shape morphism   Movable coherent morphisms   Movable strong shape morphism   Shape equivalence   Weak shape equivalence   Strong shape equivalence   Coherent homotopy groups   Strong shape weak equivalence  

摘要： In [3], [4] and [8] we introduced and studied various types of movability for the (ordinary) shape morphisms and maps. In the present paper we use those ideas to define some movability properties for strong shape morphisms. As an application a theorem on strong shape equivalences is proved. (C) 2019 Elsevier B.V. All rights reserved.

关键词： Semi-additive functional   Radon functional   Covariant functor   Category  

摘要： In this paper we introduce a functor OSR of semiadditive Radon functionals in the category Tych of Tychonoff spaces, which extends the functor OS: Comp -> Comp of semiadditive functionals. It is proved that the functor OSR: Tych -> Tych is normal in the category of Tychonoff spaces. (C) 2019 Elsevier B.V. All rights reserved.

关键词： Noncommutative geometry   Algebra   Group theory   Derivations  

摘要： A description of the algebra of outer and inner derivations of a group algebra of a finitely presented discrete group is given in terms of the character spaces of the 2-groupoid of the adjoint action of the group. A certain generalization of this construction is considered, and also proposed a natural modification of the structure of internal and external derivations, which allows, taking into account the geometric constructions we introduce, to describe the algebra of derivations in some key examples of discrete finitely generated groups. (C) 2019 Elsevier B.V. All rights reserved.

关键词： Categorical influencer detection   Social media   Topic modeling   Microtext analysis   Deep learning  

摘要： Purpose This paper proposes an approach to identify categorical influencers (i.e. influencers is the person who is active in the targeted categories) in social media channels. Categorical influencers are important for media marketing but to automatically detect them remains a challenge. Design/methodology/approach We deployed the emerging deep learning approaches. Precisely, we used word embedding to encode semantic information of words occurring in the common microtext of social media and used variational autoencoder (VAE) to approximate the topic modeling process, through which the active categories of influencers are automatically detected. We developed a system known as Categorical Influencer Detection (CID) to realize those ideas. Findings The approach of using VAE to simulate the Latent Dirichlet Allocation (LDA) process can effectively handle the task of topic modeling on the vast dataset of microtext on social media channels. Research limitations/implications This work has two major contributions. The first one is the detection of topics on microtexts using deep learning approach. The second is the identification of categorical influencers in social media. Practical implications This work can help brands to do digital marketing on social media effectively by approaching appropriate influencers. A real case study is given to illustrate it. Originality/value In this paper, we discuss an approach to automatically identify the active categories of influencers by performing topic detection from the microtext related to the influencers in social media channels. To do so, we use deep learning to approximate the topic modeling process of the conventional approaches (such as LDA).

关键词： cortical depth   high-level visual cortex   ventral temporal cortex   visual categories   visual representations  

摘要： Human ventral temporal cortex (VTC) is critical for visual recognition. It is thought that this ability is supported by large-scale patterns of activity across VTC that contain information about visual categories. However, it is unknown how category representations in VTC are organized at the sub millimeter scale and across cortical depths. To fill this gap in knowledge, we measured BOLD responses in medial and lateral VTC to images spanning 10 categories from five domains (written characters, bodies, faces, places, and objects) at an ultra-high spatial resolution of 0.8 mm using 7 Tesla fMRI in both male and female participants. Representations in lateral VTC were organized most strongly at the general level of domains (e.g., places), whereas medial VTC was also organized at the level of specific categories (e.g., corridors and houses within the domain of places). In both lateral and medial VTC, domain-level and category-level structure decreased with cortical depth, and downsampling our data to standard resolution (2.4 mm) did not reverse differences in representations between lateral and medial VTC. The functional diversity of representations across VTC partitions may allow downstream regions to read out information in a flexible manner according to task demands. These results bridge an important gap between electrophysiological recordings in single neurons at the micron scale in nonhuman primates and standard-resolution fMRI in humans by elucidating distributed responses at the submillimeter scale with ultra-high-resolution fMRI in humans.

关键词： directed networks   EWMA control chart   hierarchical graph   multinomial process   statistical process control   reciprocity   transitivity  

摘要： Statistical process monitoring (SPM) has traditionally been applied to manufacturing processes;however, more recent developments highlight its application to social networks. We propose a network monitoring strategy using the exponentially weighted moving average (EWMA) control chart, with the goal of detecting shifts in the hierarchical tendency of directed graphs over time. Such a strategy might prove useful to an organization's stakeholders when interest lies in monitoring for shifts in the general health of the organization. Although development of the proposed control chart was motivated by a network monitoring problem, our method is generally applicable to multinomial categorical processes. We study the detection performance of our proposed control chart, relative to that of the multinomial cumulative sum (CUSUM) alternative. Results suggest that if the out-of-control shift in the multinomial probabilities cannot be specified a priori, the proposed EWMA control chart should be considered as an alternative to the CUSUM strategy. Application of the proposed method is demonstrated on a real data set, namely, the open-source Enron e-mail corpus.

关键词： conference matrices   correlation   definitive screening designs   second-order model  

摘要： Screening designs are used widely in industrial experimentation. They are used to identify factors with the most potential among a large number of factors. In a recent article, Jones and Nachtsheim proposed a new class of designs called definitive screening designs (DSDs), and they later showed how a few categorical factors could be introduced in those designs. In this article, we provide a new general method that can use weighing matrices to construct screening designs with some two-level qualitative factors. The methodology is illustrated through a number of small examples. The generated designs are compared to the designs in the literature and their advantages and disadvantages are discussed.

关键词： 知识产权法   基本范畴   特殊法理   体系化   客体无形性  

摘要： 在"范畴与法理对接"的视角下,知识产权法基本范畴中蕴含着特殊法理。知识产权法基本范畴中的特殊法理应当揭示知识产权、知识产权法的特有规律,从内部视角阐明特殊学理并契合知识产权法的时空特性。借助传统范畴理论预设的本体、运行、进化、价值等范畴框架,我们可以发现知识产权法中的特殊法理。知识产权法的本体包含着知识产品具有创造性、知识产权的私权属性、知识产权法"如何配置权利"的特殊法理;知识产权法的运行包含着行政权力介入知识产权运行、侵权损害赔偿的特殊法理;知识产权法的进化包含着从"特权"向"私权"演进、科学技术作用于知识产权客体的特殊法理;知识产权法的价值包含着"创新"价值和"平衡"价值的特殊法理。知识产权法基本范畴中的特殊法理是以体系化的形式存在的,该体系由基石性特殊法理、建构性特殊法理和调节性特殊法理构成。

关键词： 东旺藏语   致使范畴   结构类型   语义表达  

摘要： 根据语言类型学理论,从共时层面来探讨东旺藏语致使范畴的结构类型和语义表达。结构类型分为词汇型、形态型、分析型和形态分析共存型四种,语义表达有有直接致使义、协同致使义和间接致使义三种。发现词汇型结构表达直接致使义;形态型既能表达直接致使义,也能表达协同致使义;形态分析共存型表达协同致使义;分析型则表达间接致使义。另外,还着重介绍了东旺藏语的双重致使。

关键词： 空灵   空灵美   审美机制   空灵境界   诗性思维  

摘要： "空灵"在道、佛、玄哲学思想相互渗透的过程中具有部分的一致性,它作为感性生命的直觉体悟,不仅是主体虚静心境的外在显现,更是主体对隐逸自由的精神诉求。"空灵"既是一种艺术形态,又是一种审美境界。它在生成之时,便凝结着中国古人继往开来的审美趣味和生命意识,是主体在审美观照中所获得的一种超时空的审美体验,进而彰显了中华民族独特的美学与艺术精神。