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Sentence opinion mining model for fusing target entities in official government documents 面向政府公文目标实体融合的句子意见挖掘模型
IF 0.8 4区 数学 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023177
Xiao Ma, Teng Yang, Feng Bai, Yunmei Shi
When drafting official government documents, it is necessary to firmly grasp the main idea and ensure that any positions stated within the text are consistent with those in previous documents. In combination with the field's demands, By taking advantage of suitable text-mining techniques to harvest opinions from sentences in official government documents, the efficiency of official government document writers can be significantly increased. Most existing opinion mining approaches employ text classification methods to directly mine the sentential text of official government documents while disregarding the influence of the objects described within the documents (i.e., the target entities) on the sentence opinion categories. To address these issues, this study proposes a sentence opinion mining model that fuses the target entities within documents. Based on the Bi-directional long short-term (BiLSTM) and attention mechanisms, the model fully considers the attention given by a official government document's target entity to different words within the corresponding sentence text, as well as the dependency between words of the sentence. The model subsequently fuses two by using feature vector fusion to obtain the final semantic representation of the text, which is then classified using a fully connected network and softmax function. Experimental results based on a dataset of official government documents show that the model significantly outperforms baseline models such as Text-convolutional neural network (TextCNN), recurrent neural network (RNN), and BiLSTM.
在起草政府正式文件时,要牢牢把握中心思想,保证文本中所表述的立场与以前的文件一致。结合该领域的需求,利用合适的文本挖掘技术从政府公文的句子中获取观点,可以显著提高政府公文作者的写作效率。现有的意见挖掘方法大多采用文本分类方法直接挖掘政府官方文件的句子文本,而忽略了文档中描述的对象(即目标实体)对句子意见类别的影响。为了解决这些问题,本研究提出了一个融合文档中目标实体的句子意见挖掘模型。该模型基于双向长短期(bidirectional long - short, BiLSTM)和注意机制,充分考虑了官方政府文件的目标实体对相应句子文本中不同单词的注意,以及句子中单词之间的依赖关系。随后,该模型通过特征向量融合将两者融合,得到文本的最终语义表示,然后使用全连接网络和softmax函数对文本进行分类。基于官方政府文件数据集的实验结果表明,该模型显著优于文本卷积神经网络(TextCNN)、循环神经网络(RNN)和BiLSTM等基准模型。
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引用次数: 0
Barycentric rational interpolation method for solving time-dependent fractional convection-diffusion equation 求解时变分数阶对流扩散方程的质心有理插值方法
IF 0.8 4区 数学 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023205
Jin Li, Yongling Cheng
The time-dependent fractional convection-diffusion (TFCD) equation is solved by the barycentric rational interpolation method (BRIM). Since the fractional derivative is the nonlocal operator, we develop a spectral method to solve the TFCD equation to get the coefficient matrix as a full matrix. First, the fractional derivative of the TFCD equation is changed to a nonsingular integral from the singular kernel to a density function. Second, efficient quadrature of the new Gauss formula are constructed to simply compute it. Third, matrix equation of discrete the TFCD equation is obtained by the unknown function replaced by a barycentric rational interpolation basis function. Then, the convergence rate of BRIM is proved. Finally, a numerical example is given to illustrate our result.
采用质心有理插值法(BRIM)求解时变分数对流扩散方程。由于分数阶导数是非局部算子,我们采用谱法求解TFCD方程,得到系数矩阵为全矩阵。首先,将TFCD方程的分数阶导数从奇异核转化为密度函数的非奇异积分。其次,对新高斯公式进行高效求积分,简化计算。第三,将未知函数替换为质心有理插值基函数,得到离散的TFCD方程的矩阵方程。然后,证明了BRIM的收敛速度。最后,给出了一个数值算例来说明我们的结果。
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引用次数: 1
Uniqueness criteria for initial value problem of conformable fractional differential equation 符合分数阶微分方程初值问题的唯一性准则
IF 0.8 4区 数学 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023207
Y. Zou, Yujun Cui
This paper presents four uniqueness criteria for the initial value problem of a differential equation which depends on conformable fractional derivative. Among them is the generalization of Nagumo-type uniqueness theory and Lipschitz conditional theory, and advances its development in proving fractional differential equations. Finally, we verify the main conclusions of this paper by providing four concrete examples.
本文给出了一类依赖于适形分数阶导数的微分方程初值问题的四个唯一性准则。其中推广了nagumo型唯一性理论和Lipschitz条件理论,并提出了其在分数阶微分方程证明中的发展。最后,通过四个具体实例验证了本文的主要结论。
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引用次数: 0
Satellite road extraction method based on RFDNet neural network 基于RFDNet神经网络的卫星道路提取方法
IF 0.8 4区 数学 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023223
Weichi Liu, Gaifang Dong, Mingxin Zou
The road network system is the core foundation of a city. Extracting road information from remote sensing images has become an important research direction in the current traffic information industry. The efficient residual factorized convolutional neural network (ERFNet) is a residual convolutional neural network with good application value in the field of biological information, but it has a weak effect on urban road network extraction. To solve this problem, we developed a road network extraction method for remote sensing images by using an improved ERFNet network. First, the design of the network structure is based on an ERFNet; we added the DoubleConv module and increased the number of dilated convolution operations to build the road network extraction model. Second, in the training process, the strategy of dynamically setting the learning rate is adopted and combined with batch normalization and dropout methods to avoid overfitting and enhance the generalization ability of the model. Finally, the morphological filtering method is used to eliminate the image noise, and the ultimate extraction result of the road network is obtained. The experimental results show that the method proposed in this paper has an average F1 score of 93.37% for five test images, which is superior to the ERFNet (91.31%) and U-net (87.34%). The average value of IoU is 77.35%, which is also better than ERFNet (71.08%) and U-net (65.64%).
道路网络系统是城市的核心基础。从遥感影像中提取道路信息已成为当前交通信息产业的一个重要研究方向。高效残差分解卷积神经网络(ERFNet)是一种在生物信息领域具有较好应用价值的残差卷积神经网络,但在城市路网提取方面效果较弱。为了解决这一问题,我们开发了一种基于改进的ERFNet网络的遥感影像道路网提取方法。首先,基于ERFNet进行了网络结构设计;我们增加了DoubleConv模块,并增加了展开卷积运算的次数来构建路网提取模型。其次,在训练过程中,采用动态设置学习率的策略,并结合批归一化和dropout方法,避免过拟合,增强模型的泛化能力。最后,利用形态学滤波方法消除图像噪声,得到路网的最终提取结果。实验结果表明,本文提出的方法对5幅测试图像的F1平均得分为93.37%,优于ERFNet(91.31%)和U-net(87.34%)。IoU平均值为77.35%,也优于ERFNet(71.08%)和U-net(65.64%)。
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引用次数: 0
Derivations of finite-dimensional modular Lie superalgebras $ overline{K}(n, m) $ 有限维模李超代数的导数$ overline{K}(n, m) $
IF 0.8 4区 数学 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023217
Dan Mao, Keli Zheng
This paper is aimed at determining the derivation superalgebra of modular Lie superalgebra $ overline{K}(n, m) $. To that end, we first describe the $ mathbb{Z} $-homogeneous derivations of $ overline{K}(n, m) $. Then we obtain the derivation superalgebra $ Der(overline{K}) $. Finally, we partly determine the derivation superalgebra $ Der(K) $ by virtue of the invariance of $ K(n, m) $ under $ Der(overline{K}) $.
本文旨在确定模李超代数$ overline{K}(n, m) $的派生超代数。为此,我们首先描述$ overline{K}(n, m) $的$ mathbb{Z} $-齐次派生。然后我们得到了派生超代数$ Der(overline{K}) $。最后,利用$ K(n, m) $在$ Der(overline{K}) $下的不变性,部分地确定了派生超代数$ Der(K) $。
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引用次数: 0
Deciphering and identifying pan-cancer RAS pathway activation based on graph autoencoder and ClassifierChain 基于图自编码器和分类链的泛癌RAS通路激活解码与识别
IF 0.8 4区 数学 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023253
Jianting Gong, Yingwei Zhao, Xiantao Heng, Yongbing Chen, Pingping Sun, Fei He, Zhiqiang Ma, Zilin Ren

The goal of precision oncology is to select more effective treatments or beneficial drugs for patients. The transcription of ‘‘hidden responders’’ which precision oncology often fails to identify for patients is important for revealing responsive molecular states. Recently, a RAS pathway activation detection method based on machine learning and a nature-inspired deep RAS activation pan-cancer has been proposed. However, we note that the activating gene variations found in KRAS, HRAS and NRAS vary substantially across cancers. Besides, the ability of a machine learning classifier to detect which KRAS, HRAS and NRAS gain of function mutations or copy number alterations causes the RAS pathway activation is not clear. Here, we proposed a deep neural network framework for deciphering and identifying pan-cancer RAS pathway activation (DIPRAS). DIPRAS brings a new insight into deciphering and identifying the pan-cancer RAS pathway activation from a deeper perspective. In addition, we further revealed the identification and characterization of RAS aberrant pathway activity through gene ontological enrichment and pathological analysis. The source code is available by the URL https://github.com/zhaoyw456/DIPRAS.

精确肿瘤学的目标是为患者选择更有效的治疗方法或有益的药物。精确肿瘤学经常无法识别的“隐藏应答者”的转录对于揭示应答分子状态很重要。最近,提出了一种基于机器学习的RAS通路激活检测方法和一种自然启发的RAS深度激活泛癌。然而,我们注意到KRAS、HRAS和NRAS中发现的激活基因变异在不同的癌症中存在很大差异。此外,机器学习分类器检测哪些KRAS、HRAS和NRAS的功能突变增益或拷贝数改变导致RAS通路激活的能力尚不清楚。在这里,我们提出了一个深度神经网络框架来破译和识别泛癌症RAS通路激活(DIPRAS)。DIPRAS为从更深的角度解读和识别泛癌RAS通路激活带来了新的见解。此外,我们还通过基因本体富集和病理分析进一步揭示了RAS异常通路活性的鉴定和表征。源代码可通过URL https://github.com/zhaoyw456/DIPRAS获得。
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引用次数: 0
Numerical simulation analysis for the effect of water content on the intelligent compaction quality of roadbed 含水量对路基智能压实质量影响的数值模拟分析
IF 0.8 4区 数学 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023254
Yuan Ma, Y. Luan, Shuangquan Jiang, Jianming Zhang, Chuan Wang
In the process of intelligent compaction of roadbeds, the water content of the roadbed is one of the important influencing factors of compaction quality. In order to analyze the effect of water content on the compaction quality of roadbeds, this paper is developed by secondary development of Abaqus finite element numerical simulation software. At the same time, the artificial viscous boundary was set to eliminate the influence of boundary conditions on the results in the finite element modeling process, so that the numerical simulation can be refined to model. On this basis, the dynamic response analysis of the roadbed compaction process is performed on the finite element numerical simulation results. This paper established the correlation between compaction degree and intelligent compaction index CMV (Compaction Meter Value) and then analyzed the effect of water content on the compaction quality for the roadbed. The results of this paper show that the amplitude of the vertical acceleration is almost independent of the moisture content, and the vertical displacement mainly occurs in the static compaction stage. The vertical displacement changes sharply in the first 0.5 s when the vibrating wheel is in contact with the roadbed. The main stage of roadbed compaction quality increase is before the end of the first compaction. At the end of the first compaction, the roadbed compaction degree increased rapidly from 80% to 91.68%, 95.34% and 97.41%, respectively. With the increase in water content, the CMV gradually increased. At the end of the second compaction, CMV increased slightly compared with that at the end of the first compaction and stabilized at the end of the second compaction. The water content of the roadbed should be considered to be set slightly higher than the optimal water content of the roadbed by about 1% during the construction of the roadbed within the assumptions of this paper.
在路基智能压实过程中,路基含水率是影响压实质量的重要因素之一。为了分析含水率对路基压实质量的影响,利用二次开发的Abaqus有限元数值模拟软件开发了本文。同时,设置了人工粘性边界,消除了有限元建模过程中边界条件对结果的影响,使数值模拟能够精细化到模型化。在此基础上,对路基压实过程的动力响应进行有限元数值模拟分析。建立了路基压实度与智能压实指标CMV的相关性,分析了含水率对路基压实质量的影响。研究结果表明:竖向加速度幅值几乎与含水率无关,竖向位移主要发生在静压阶段;振动轮与路基接触后的前0.5 s垂直位移变化剧烈。路基压实质量提高的主要阶段是第一次压实结束前。第一次压实结束时,路基压实度由80%迅速提高到91.68%、95.34%和97.41%。随着含水量的增加,CMV逐渐升高。在第二次压实结束时,CMV较第一次压实结束时略有增加,在第二次压实结束时趋于稳定。在本文的假设范围内,路基施工时应考虑设置比路基最优含水率略高1%左右的路基含水率。
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引用次数: 1
Local porosity of the free boundary in a minimum problem 最小问题中自由边界的局部孔隙率
IF 0.8 4区 数学 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023277
Yuwei Hu, Jun Zheng
Given certain set $ mathcal{K} $ and functions $ q $ and $ h $, we study geometric properties of the set $ partial{xinOmega:u(x) > 0} $ for non-negative minimizers of the functional $ mathcal{J} (u) = int_{Omega }^{} , left(frac{1}{p}| nabla u| ^p+q(u^+)^gamma +huright)text{d}x $ over $ mathcal{K} $, where $ {Omega subset} mathbb{R} ^n(ngeq 2) $ is an open bounded domain, $ pin(1, +infty) $ and $ gamma in (0, 1] $ are constants, $ u^+ $ is the positive part of $ u $ and $ partial{xinOmega :u(x) > 0} $ is the so-called free boundary. Such a minimum problem arises in physics and chemistry for $ gamma = 1 $ and $ gamma in(0, 1) $, respectively. Using the comparison principle of $ p $-Laplacian equations, we establish first the non-degeneracy of non-negative minimizers near the free boundary, then prove the local porosity of the free boundary.
给定特定的集$ mathcal{K} $和函数$ q $和$ h $,研究了函数$ mathcal{J} (u) = int_{Omega }^{} , left(frac{1}{p}| nabla u| ^p+q(u^+)^gamma +huright)text{d}x $在$ mathcal{K} $上的非负极小值集$ partial{xinOmega:u(x) > 0} $的几何性质,其中$ {Omega subset} mathbb{R} ^n(ngeq 2) $是开放有界域,$ pin(1, +infty) $和$ gamma in (0, 1] $是常数,$ u^+ $是$ u $的正部分,$ partial{xinOmega :u(x) > 0} $是所谓的自由边界。对于$ gamma = 1 $和$ gamma in(0, 1) $,在物理和化学中分别出现了这样的最小问题。利用$ p $ -拉普拉斯方程的比较原理,首先建立了自由边界附近非负极小值的非简并性,然后证明了自由边界的局部孔隙度。
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引用次数: 0
Word-level dual channel with multi-head semantic attention interaction for community question answering 基于词级双通道、多头语义注意交互的社区问答
IF 0.8 4区 数学 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023306
Jinmeng Wu, Hanyu Hong, Yaozong Zhang, Y. Hao, Lei Ma, Lei Wang
The semantic matching problem detects whether the candidate text is related to a specific input text. Basic text matching adopts the method of statistical vocabulary information without considering semantic relevance. Methods based on Convolutional neural networks (CNN) and Recurrent networks (RNN) provide a more optimized structure that can merge the information in the entire sentence into a single sentence-level representation. However, these representations are often not suitable for sentence interactive learning. We design a multi-dimensional semantic interactive learning model based on the mechanism of multiple written heads in the transformer architecture, which not only considers the correlation and position information between different word levels but also further maps the representation of the sentence to the interactive three-dimensional space, so as to solve the problem and the answer can select the best word-level matching pair, respectively. Experimentally, the algorithm in this paper was tested on Yahoo! and StackEx open-domain datasets. The results show that the performance of the method proposed in this paper is superior to the previous CNN/RNN and BERT-based methods.
语义匹配问题检测候选文本是否与特定输入文本相关。基本文本匹配采用统计词汇信息的方法,不考虑语义关联。基于卷积神经网络(CNN)和递归网络(RNN)的方法提供了一种更优化的结构,可以将整个句子中的信息合并为单个句子级表示。然而,这些表征通常不适合句子互动学习。我们设计了一种基于transformer架构中多个写头机制的多维语义交互学习模型,该模型不仅考虑了不同词级之间的相关性和位置信息,还将句子的表示进一步映射到交互的三维空间中,从而解决问题和答案可以分别选择最佳的词级匹配对。实验上,本文算法在Yahoo!和StackEx开放域数据集。结果表明,本文提出的方法的性能优于以往的CNN/RNN和基于bert的方法。
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引用次数: 0
Color image steganalysis based on quaternion discrete cosine transform 基于四元数离散余弦变换的彩色图像隐写分析
IF 0.8 4区 数学 Q1 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.3934/era.2023209
Meng Xu, X. Luo, Jinwei Wang, Hao Wang
With the rapid development and application of Internet technology in recent years, the issue of information security has received more and more attention. Digital steganography is used as a means of secure communication to hide information by modifying the carrier. However, steganography can also be used for illegal acts, so it is of great significance to study steganalysis techniques. The steganalysis technology can be used to solve the illegal steganography problem of computer vision and engineering applications technology. Most of the images in the Internet are color images, and steganalysis for color images is a very critical problem in the field of steganalysis at this stage. Currently proposed algorithms for steganalysis of color images mainly rely on the manual design of steganographic features, and the steganographic features do not fully consider the internal connection between the three channels of color images. In recent years, advanced steganography techniques for color images have been proposed, which brings more serious challenges to color image steganalysis. Quaternions are a good tool to represent color images, and the transformation of quaternions can fully exploit the correlation among color image channels. In this paper, we propose a color image steganalysis algorithm based on quaternion discrete cosine transform, firstly, the image is represented by quaternion, then the quaternion discrete cosine transform is applied to it, and the coefficients obtained from the transformation are extracted to design features of the coeval matrix. The experimental results show that the proposed algorithm works better than the typical color image steganalysis algorithm.
近年来,随着互联网技术的快速发展和应用,信息安全问题越来越受到人们的关注。数字隐写术是一种通过修改载体来隐藏信息的安全通信手段。然而,隐写技术也可能被用于非法行为,因此研究隐写技术具有重要意义。隐写分析技术可以解决计算机视觉和工程应用技术中的非法隐写问题。互联网上的图像大多是彩色图像,对彩色图像进行隐写分析是现阶段隐写分析领域中非常关键的问题。目前提出的彩色图像隐写分析算法主要依赖于手工设计隐写特征,隐写特征没有充分考虑彩色图像三通道之间的内在联系。近年来,各种先进的彩色图像隐写技术相继出现,这给彩色图像隐写分析带来了更严峻的挑战。四元数是表示彩色图像的一个很好的工具,四元数变换可以充分利用彩色图像通道之间的相关性。本文提出了一种基于四元数离散余弦变换的彩色图像隐写算法,首先将图像用四元数表示,然后对图像进行四元数离散余弦变换,提取变换后的系数来设计同值矩阵的特征。实验结果表明,该算法比典型的彩色图像隐写分析算法效果更好。
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