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Some Discrete Tomography Problems in Hypergraph Model Interpretation 超图模型解释中的一些离散断层扫描问题
IF 1 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-10 DOI: 10.1134/s1054661824010176
Hasmik Sahakyan

Abstract

In this paper we consider discrete tomography problems with an additional requirement of non-repeatability of rows of the binary matrix to be reconstructed; as well as discrete tomography problems with given pairwise projections. Representing the problems in the hypergraph model and pointing out their equivalence to the basic definitions, we state the following results: (i) nonconvexity of the set of hypergraphic sequences of simple hypergraphs with (n) vertices and (m) hyperedges in the (n)-dimensional (m + 1)-valued lattice, (ii) characterization of monotone Boolean functions associated with degree sequences of 3-/(n–3)-uniform hypergraphs, (iii) formulation of discrete tomography problems with paired projections, their connection to hypergraph degree sequence problem with generalized degrees, a solution for a particular case.

摘要 在本文中,我们考虑了离散层析成像问题和离散层析成像问题中的给定成对投影问题,前者还额外要求待重建二元矩阵的行不可重复。在超图模型中表示这些问题,并指出它们与基本定义的等价性,我们阐述了以下结果:(i) 在 (n)-dimensional (m + 1)-valued lattice 中具有 (n) 顶点和 (m)hypergedges 的简单超图的超图序列集合的非凸性,(ii) 与 3-/(n-3)-uniform 超图的度序列相关的单调布尔函数的特征、(iii) 有成对投影的离散层析问题的表述,它们与有广义度的超图度序列问题的联系,一种特殊情况的解法。
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引用次数: 0
Complete Caps in Affine Geometry AG(n, 3) 仿射几何 AG(n, 3) 中的完整盖帽
IF 1 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-10 DOI: 10.1134/s1054661824010097
Iskandar Karapetyan, Karen Karapetyan

Abstract

A cap in a projective or affine geometry over a finite field is a set of points no three of which are collinear. We give several new constructions for complete caps in affine geometry (AGleft( {n,3} right)) over the field ({{F}_{3}} = left{ {0,1,2} right}) implying some well-known results.

摘要 在有限域上的射影几何或仿射几何中的盖是一组没有三个点是共线的点。我们给出了仿射几何 (AGleft( {n,3} right))中关于域 ({{F}_{3}} = left{{0,1,2} right}/)的完全盖的几个新构造,其中隐含了一些众所周知的结果。
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引用次数: 0
An Enhanced Semi-Supervised Support Vector Machine Algorithm for Spectral-Spatial Hyperspectral Image Classification 用于光谱-空间高光谱图像分类的增强型半监督支持向量机算法
IF 1 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-10 DOI: 10.1134/s1054661824010085
Ziping He, Kewen Xia, Jiangnan Zhang, Sijie Wang, Zhixian Yin

Abstract

Hyperspectral image classification has become an important issue in remote sensing due to the significant amount of spectral information in HSI. The costly and time-consuming annotation task of HSIs makes the number of labeled samples is limited. To address the above problem, we propose an enhanced semi-supervised support vector machine algorithm for spectral-spatial HSI classification. To fully capture the spectral and spatial information of HSI, we use local binary pattern to obtain spatial feature. The captured spatial features are concatenated with the spectral features to yield the hybrid spectral-spatial features. Self-training mechanism is then adopted to gradually select confident unlabeled samples with their pseudo-labels and add them to the labeled set. To further improve the classification performance of the semi-supervised support vector machine, we choose a cuckoo search algorithm based on the chaotic catfish effect to find its optimal combination of parameters. The experimental results on two publicly available HSI datasets show that the proposed model achieves excellent classification accuracy for each category in hyperspectral images, and also has superior overall accuracy compared with other comparative algorithms. Adequate experiments and analysis illustrate the promising potential and prospect of our proposed model for HSI classification.

摘要 由于高光谱图像中含有大量光谱信息,因此高光谱图像分类已成为遥感领域的一个重要问题。高光谱图像的标注工作成本高、耗时长,使得标注样本的数量有限。为解决上述问题,我们提出了一种用于光谱-空间 HSI 分类的增强型半监督支持向量机算法。为了充分捕捉人脸图像的光谱和空间信息,我们使用局部二进制模式来获取空间特征。捕捉到的空间特征与光谱特征进行串联,得到光谱-空间混合特征。然后采用自我训练机制,逐步选择有把握的未标记样本及其伪标签,并将其添加到标记集中。为了进一步提高半监督支持向量机的分类性能,我们选择了一种基于混沌鲶鱼效应的布谷鸟搜索算法来寻找其最佳参数组合。在两个公开的高光谱图像数据集上的实验结果表明,所提出的模型在高光谱图像的每个类别上都达到了极佳的分类精度,与其他比较算法相比,总体精度也更胜一筹。充分的实验和分析表明,我们提出的模型在高光谱图像分类方面具有广阔的潜力和前景。
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引用次数: 0
A Hierarchy of Determinative Sequent Systems with Different Substitution Rules 具有不同替换规则的确定性序列系统的层次结构
IF 1 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-10 DOI: 10.1134/s1054661824010206
Hakob A. Tamazyan, Anahit A. Chubaryan

Abstract

A determinative sequent system DS for the classical propositional calculus is introduced on the base of well-known Tseitin’s transformation. It is proved that the system DS is polynomially equivalent to the propositional resolution system R and propositional cut-free sequent system PK. Then we define the system SDS (DS with a substitution rule) and the systems SkDS (DS with restricted substitution rules, where the number of connectives in substituted formulas is bounded by k). It is proved that for every k ≥ 0 the system Sk+1DS has an exponential speed-up over the system SkDS in the tree form, and the system SDS is polynomially equivalent to the Frege systems.

摘要 以著名的谢廷变换为基础,介绍了经典命题微积分的确定性序列系统 DS。证明该系统 DS 与命题解析系统 R 和命题无割序列系统 PK- 多项式等价。然后,我们定义了 SDS 系统(具有替换规则的 DS)和 SkDS 系统(具有受限替换规则的 DS,其中替换公式中的连接词数以 k 为界)。我们证明,对于每一个 k≥0 的系统 Sk+1DS 都比树形系统 SkDS 有指数级的速度提升,而且系统 SDS 在多项式上等价于弗雷格系统。
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引用次数: 0
Logical-Probabilistic Modeling and Structural Analysis of Reconfigurable Systems Composed of Multifunctional Elements 由多功能元件组成的可重构系统的逻辑概率建模与结构分析
IF 1 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-10 DOI: 10.1134/s1054661824010218
Sergo Tsiramua, Hamlet Meladze, Tinatin Davitashvili

Abstract

Multifunctional elements are a special class of elements, the reliability model of which differs from the classical two-pole “on-off” model. A multifunctional element can have partly false states in addition to nonfalse and false states. The multifunctionality of the elements leads to the formation of flexible, adaptable systems with reconfigurable structure, in which, in case of partial failure of the element, it is possible to continue the successful functioning of the system by redistributing the functions between the elements. In this paper, the properties of multifunctional elements (MFE) and systems, assembled on their basis, methods of structural analysis, logical-probabilistic reliability models and issues of optimal reconfiguration of systems based on MFE are discussed.

摘要 多功能元件是一类特殊的元件,其可靠性模型不同于经典的两极 "开-关 "模型。多功能元件除了非错误状态和错误状态外,还可以有部分错误状态。元件的多功能性导致形成具有可重新配置结构的灵活、适应性强的系统,在这种系统中,当元件出现部分故障时,可以通过重新分配元件之间的功能,使系统继续成功运行。本文讨论了多功能元件(MFE)和在其基础上组装的系统的特性、结构分析方法、逻辑-概率可靠性模型以及基于多功能元件的系统优化重组问题。
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引用次数: 0
Outer Bound for E-Capacity–Equivocation Region of Compound Wiretap Channel 复合有线窃听通道的 E-Capacity-Equivocation 区域外边界
IF 1 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-10 DOI: 10.1134/s1054661824010073
Mariam Haroutunian

Abstract

Investigation of communication over a wiretap channel is one of the problems of information–theoretic security. The aim in the general wiretap channel model is to maximize the rate of the reliable communication from the source to the legitimate receiver, while keeping the confidential information as secret as possible from the wiretapper (eavesdropper). Here we consider the compound wiretap channel model, when the channels to the legitimate receiver and to the wiretapper depends on the number of possible states. We investigate the (E)-capacity–equivocation region which is the closure of the set of all achievable rate-reliability and equivocation pairs, where the rate-reliability function represents the optimal dependence of rate on the error probability exponent (reliability). Here the outer bound of this region is constructed in the case, when the states are not known to all terminals.

摘要 窃听信道上的通信是信息论安全问题之一。一般窃听信道模型的目标是最大限度地提高从信源到合法接收者之间的可靠通信速率,同时尽可能对窃听者(窃听者)保密。这里我们考虑的是复合窃听信道模型,即合法接收者和窃听者的信道取决于可能状态的数量。我们研究的是(E)-容量-等价区域,它是所有可实现的速率-可靠性和等价对的集合的闭合,其中速率-可靠性函数表示速率对错误概率指数(可靠性)的最优依赖。在此,我们将在不知道所有终端状态的情况下构建该区域的外部边界。
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引用次数: 0
On Mobile Pose Estimation and Action Recognition Design and Implementation 关于移动姿势估计和动作识别的设计与实施
IF 1 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-10 DOI: 10.1134/s1054661824010036
M. Aslanyan

Abstract

Human pose estimation (PE, tracking body pose on-the-go) is a computer vision-based technology that identifies and controls specific points on the human body. These points represent our joints and special points over the body determining the sizes, distances, angle of flexion, and type of the motion. Knowing this in a specific exercise is the basis of work for rehabilitation and physiotherapy, fitness and self-coaching, augmented reality, animation and gaming, robot management, surveillance and human activity analysis. Implementing such capabilities may use special suits or sensor arrays to achieve the best result, but massive use of PE is related to devices that many users own: namely smartphones, smartwatches, and earbuds. The body pose estimation system starts with capturing the initial data. In dealing with motion detection, it is necessary to analyze a sequence of images rather than a still photo. Different software modules are responsible for tracking 2D key points, creating a body representation, and converting it into a 3D space. Action recognition on the other hand is a way to analyze the sequence of estimated pose data with the aim to categorize sequence under the classes. It is widely used various fields. One of the widely known use cases is analysis and detection of potential attacks of illegal action using video from the surveillance cameras. Another use case involves analysis of the sequence of pose with the aim of creating a virtual coaching environment. Specifically, our research will target this challenging issue and aim to create this environment for mobile devices. We will describe some of the solutions that are suitable for effectively pose estimation and action recognition on mobile devices. We will show how lightweight models based on convolution neural networks can be used to efficiently solve pose estimation issue and address action recognition problem with the dynamic time warping algorithm.

摘要 人体姿态估计(PE,随身追踪人体姿态)是一种基于计算机视觉的技术,可识别和控制人体上的特定点。这些点代表我们的关节和身体上的特殊点,决定着运动的大小、距离、弯曲角度和类型。在特定运动中了解这些点是康复和理疗、健身和自我教练、增强现实、动画和游戏、机器人管理、监控和人体活动分析等工作的基础。要实现这些功能,可能需要使用特殊的服装或传感器阵列来达到最佳效果,但 PE 的大量使用与许多用户拥有的设备有关:即智能手机、智能手表和耳塞。身体姿态估计系统从捕捉初始数据开始。在处理运动检测时,有必要分析一系列图像而不是静态照片。不同的软件模块负责跟踪二维关键点、创建身体表征并将其转换为三维空间。另一方面,动作识别是一种分析估计姿势数据序列的方法,目的是将序列归类。它被广泛应用于各个领域。其中一个广为人知的用例是利用监控摄像头的视频分析和检测潜在的非法行为攻击。另一个用例涉及姿势序列分析,目的是创建虚拟教练环境。具体来说,我们的研究将以这一具有挑战性的问题为目标,旨在为移动设备创建这一环境。我们将介绍一些适合在移动设备上有效进行姿势估计和动作识别的解决方案。我们将展示如何利用基于卷积神经网络的轻量级模型来有效解决姿势估计问题,并利用动态时间扭曲算法来解决动作识别问题。
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引用次数: 0
Algorithms for Matching Strings with Fuzzy Context-Free and Automata Patterns 用模糊上下文自由模式和自动模式匹配字符串的算法
IF 1 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-10 DOI: 10.1134/s1054661824010115
A. H. Kostanyan

Abstract

This paper is devoted to determining the degree of compliance of a given string with a pattern represented as a grammar, the terminal symbols of which are fuzzy properties of the characters of the base alphabet. In the case when the pattern is specified as a context-free grammar in the Chomsky normal form, the matching degree is calculated by applying a fuzzy version of the Cocke–Younger–Kasami (CYK) algorithm in cubic time depending on the length of the input string. The proposed algorithm becomes a linear time algorithm for the subclass of the automata grammars, which can be considered as finite automata with fuzzy properties of alphabetic characters on transitions. This work may find application in bioinformatics to classify deoxyribonucleic acid (DNA) sequences using fuzzy prototypes described in one way or another. Other applications are related to fuzzy analysis of natural languages, pattern recognition and determination of fuzzy regularity of a string.

摘要 本文致力于确定给定字符串与用语法表示的模式的符合程度,语法的终端符号是基字母表字符的模糊属性。在模式被指定为乔姆斯基正则形式的无上下文语法的情况下,匹配度是通过应用模糊版本的 Cocke-Younger-Kasami (CYK) 算法计算出来的,计算时间取决于输入字符串的长度。提出的算法成为自动机语法子类的线性时间算法,自动机语法可视为具有字母字符模糊特性的有限自动机。这项工作可应用于生物信息学,利用以某种方式描述的模糊原型对脱氧核糖核酸(DNA)序列进行分类。其他应用涉及自然语言的模糊分析、模式识别和确定字符串的模糊规则性。
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引用次数: 0
Special Issue “Selected Papers of the 14th International Conference Computer Science and Information Technologies” 第 14 届计算机科学与信息技术国际会议论文选 "特刊
IF 1 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-10 DOI: 10.1134/s1054661824010024
L. Aslanyan, Yu. Shoukourian

Abstract

The biennial “Computer Sciences and Information Technologies” conference in Yerevan in September of 2023 was the 14th in this series. This event is of regional interest, provide a networking ecosystem to scientists in areas such as the Mathematical Logic and Logical Reasoning, Discrete Mathematics, Pattern Recognition and Cognitive Sciences, and Applications. 17 selected papers of this conference, included in Special Issue of PRIA journal provide up to date research results and research topics that make a sensitive input to the field known as “Logic Combinatorial Pattern Recognition”. Results from Algebra and Mathematical Logic help in structural and semantic areas of pattern recognition, graph theoretical investigations help with clustering and image analysis, other selected papers and results are devoted directly to semantic pattern recognition, to cognitive sciences in general, or they provide application platforms where different artificial intelligence technologies are converging.

摘要2023年9月在埃里温举行的两年一次的 "计算机科学与信息技术 "会议是该系列会议的第14届。该会议具有地区意义,为数理逻辑和逻辑推理、离散数学、模式识别和认知科学及应用等领域的科学家提供了一个网络生态系统。本次会议精选的 17 篇论文被收录在 PRIA 期刊的特刊中,这些论文提供了最新的研究成果和研究课题,为 "逻辑组合模式识别 "领域提供了敏锐的投入。来自代数和数理逻辑的成果有助于模式识别的结构和语义领域,图论研究有助于聚类和图像分析,其他入选论文和成果直接致力于语义模式识别、一般认知科学,或提供不同人工智能技术融合的应用平台。
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引用次数: 0
Recognition of Church Slavonic Texts Using Machine Learning Methods 使用机器学习方法识别教会斯拉夫语文本
IF 1 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-10 DOI: 10.1134/s105466182401019x
A. A. Smirnova, N. G. Grafeeva, M. A. Tokman

Abstract

This study explores an approach to recognizing texts of ancient printed books written in Church Slavonic, utilizing computer vision and neural network methods. We achieved a classification accuracy of 99.13% for Church Slavonic alphabet characters, including punctuation marks, and 98.58% for superscript signs. The study developed an application variant enabling the conversion of Church Slavonic text images into an editable format. We formed datasets comprising image samples of letters and superscript signs, featuring no fewer than 200 examples per letter and at least 150 images per sign.

摘要 本研究探讨了一种利用计算机视觉和神经网络方法识别教会斯拉夫语古代印刷书籍文本的方法。我们对教会斯拉夫语字母字符(包括标点符号)的分类准确率达到 99.13%,对上标符号的分类准确率达到 98.58%。这项研究开发了一种应用程序变体,可将教会斯拉夫语文本图像转换为可编辑格式。我们建立了由字母和上标符号图像样本组成的数据集,每个字母不少于 200 个示例,每个符号不少于 150 个图像。
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引用次数: 0
期刊
PATTERN RECOGNITION AND IMAGE ANALYSIS
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