• Title/Summary/Keyword: learning multiplication

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A Study on Performance Improvement of Non-Profiling Based Power Analysis Attack against CRYSTALS-Dilithium (CRYSTALS-Dilithium 대상 비프로파일링 기반 전력 분석 공격 성능 개선 연구)

  • Sechang Jang;Minjong Lee;Hyoju Kang;Jaecheol Ha
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.33 no.1
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    • pp.33-43
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    • 2023
  • The National Institute of Standards and Technology (NIST), which is working on the Post-Quantum Cryptography (PQC) standardization project, announced four algorithms that have been finalized for standardization. In this paper, we demonstrate through experiments that private keys can be exposed by Correlation Power Analysis (CPA) and Differential Deep Learning Analysis (DDLA) attacks on polynomial coefficient-wise multiplication algorithms that operate in the process of generating signatures using CRYSTALS-Dilithium algorithm. As a result of the experiment on ARM-Cortex-M4, we succeeded in recovering the private key coefficient using CPA or DDLA attacks. In particular, when StandardScaler preprocessing and continuous wavelet transform applied power traces were used in the DDLA attack, the minimum number of power traces required for attacks is reduced and the Normalized Maximum Margines (NMM) value increased by about 3 times. Conseqently, the proposed methods significantly improves the attack performance.

5th Graders' Logical Development through Learning Division with Decimals (5학년 아동의 소수 나눗셈 원리 이해에 관한 연구)

  • Lee, Jong-Euk
    • School Mathematics
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    • v.9 no.1
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    • pp.99-117
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    • 2007
  • In this paper it is discussed how children develop their logical reasoning beyond difficulties in the process of making sense of division with decimals in the classroom setting. When we consider the gap between mathematics at elementary and secondary levels, and given the logical nature of mathematics at the latter levels, it can be seen as important that the aspects of children's logical development in the upper grades in elementary school should be clarified. This study focuses on the teaching and learning of division with decimals in a 5th grade classroom, because it is well known to be difficult for children to understand the meaning of division with decimals. It is suggested that children begin to conceive division as the relationship between the equivalent expressions at the hypothetical-deductive level detached from the concrete one, and that children's explanation based on a reversibility of reciprocity are effective in overcoming the difficulties related to division with decimals. It enables children to conceive multiplication and division as a system of operations.

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WCDMA Interference Cancellation Wireless Repeater Using Variable Stepsize Complex Sign-Sign LMS Algorithm (가변 스텝 Complex Sign-Sign LMS 적응 알고리즘을 사용한 WCDMA 간섭제거 중계기)

  • Hong, Seung-Mo;Kim, Chong-Hoon
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.47 no.9
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    • pp.37-43
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    • 2010
  • An Interference Cancellation Wireless Repeater transmitts directly amplified the RF signal input to extend the coverage of the base station. Such a repeater inevitably suffers from the feedback interferences due to the environment and the adaptive Interference Cancelling System(ICS) is necessary. In this paper, the Variable Stepsize Complex Sign -Sign(VSCSS) LMS algorithm for ICS is presented. The algorithm can be implemented without multiplication/division arithmetic operation so that the required logic resources can be dramatically reduced in FPGA implementation. The performance of the proposed algorithm was analyzed in comparison with CSS-LMS algorithm and the learning curves obtained from simulation showed an excellent agreement with the theorical prediction. The simulation result with ICS in fading feedback channel environment showed the performance of the proposed algorithm is competible with NLMS algorithm.

Transfer Learning for Caladium bicolor Classification: Proof of Concept to Application Development

  • Porawat Visutsak;Xiabi Liu;Keun Ho Ryu;Naphat Bussabong;Nicha Sirikong;Preeyaphorn Intamong;Warakorn Sonnui;Siriwan Boonkerd;Jirawat Thongpiem;Maythar Poonpanit;Akarasate Homwiseswongsa;Kittipot Hirunwannapong;Chaimongkol Suksomsong;Rittikait Budrit
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.18 no.1
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    • pp.126-146
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    • 2024
  • Caladium bicolor is one of the most popular plants in Thailand. The original species of Caladium bicolor was found a hundred years ago. Until now, there are more than 500 species through multiplication. The classification of Caladium bicolor can be done by using its color and shape. This study aims to develop a model to classify Caladium bicolor using a transfer learning technique. This work also presents a proof of concept, GUI design, and web application deployment using the user-design-center method. We also evaluated the performance of the following pre-trained models in this work, and the results are as follow: 87.29% for AlexNet, 90.68% for GoogleNet, 93.59% for XceptionNet, 93.22% for MobileNetV2, 89.83% for RestNet18, 88.98% for RestNet50, 97.46% for RestNet101, and 94.92% for InceptionResNetV2. This work was implemented using MATLAB R2023a.

Survey for the Remedial Instruction on Arithmetic Word Problems Solving of Elementary School Students (초등학생의 사칙계산 문장제 해결 보정교육을 위한 기초 연구)

  • Lee, Bong-Ju;Moon, Seung-Ho
    • Education of Primary School Mathematics
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    • v.10 no.2
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    • pp.141-149
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    • 2007
  • It is undeniably important to bring up a solution capability of arithmetic word problems in the elementary mathematical education. The goal of this study is to acquire the implication for remedial instruction on arithmetic word problems solving through surveying elementary school students' difficulties in the solving of arithmetic word problems. In order to do it, this study was intended to analyze the following two aspects. First, it was analyzed that they generally felt more difficulties in which field among addition, subtraction, multiplication and division word problems. Second, with the result of the first analysis, it was examined that they solved it by imagining as which sphere of the other word problems. Also, the cause of their error on the word problem solving was analyzed by the interview. From the foregoing analyses, the following implications for remedial instruction on arithmetic word problems solving are acquired. First, the accumulation of learning deficiency must be diminished through the remedial instruction. Second, it must help students to understand the given problem and to make of what the goal of problem is. Third, it must help students to form a good habit for reading the problem and to understand the context of problem. forth, the teacher must help students to review and reflect their problem-solving processes.

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An Analysis on Aspects of Concepts and Models of Fraction Appeared in Korea Elementary Mathematics Textbook (한국의 초등수학 교과서에 나타나는 분수의 개념과 모델의 양상 분석)

  • Kang, Heung Kyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.17 no.3
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    • pp.431-455
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    • 2013
  • In this thesis, I classified various meanings of fraction into two categories, i.e concept(rate, operator, division) and model(whole-part, measurement, allotment), and surveyed appearances which is shown in Korea elementary mathematics textbook. Based on this results, I derived several implications on learning-teaching of fraction in elementary education. Firstly, we have to pursuit a unified formation of fraction concept through a complementary advantage of various concepts and models Secondly, by clarifying the time which concepts and models of fraction are imported, we have to overcome a ambiguity or tacit usage of that. Thirdly, the present Korea's textbook need to be improved in usage of measurement model. It must be defined more explicitly and must be used in explanation of multiplication and division algorithm of fraction.

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An Analysis on Concepts and Methods of Teaching Fractions (분수 개념 지도 내용과 방법 분석)

  • Kang, Wan
    • Journal of Educational Research in Mathematics
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    • v.24 no.3
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    • pp.467-480
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    • 2014
  • Concepts related to the fraction should be taught with formative thinking activities as well as concrete operational activities. Teaching improper fraction should follow the concept of fraction as a relation of two natural numbers. This concept is also important not to be skipped before teaching the fraction such as "4 is a third of 12". Mixed number should be taught as a sum of a natural number and a proper fraction. Fraction as a quotient of a division is a hard concept to be taught since it requires very high abstractive thinking process. Learning the transformation of division into multiplication of fractions should precede that of fraction as a quotient of a division.

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A Video Expression Recognition Method Based on Multi-mode Convolution Neural Network and Multiplicative Feature Fusion

  • Ren, Qun
    • Journal of Information Processing Systems
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    • v.17 no.3
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    • pp.556-570
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    • 2021
  • The existing video expression recognition methods mainly focus on the spatial feature extraction of video expression images, but tend to ignore the dynamic features of video sequences. To solve this problem, a multi-mode convolution neural network method is proposed to effectively improve the performance of facial expression recognition in video. Firstly, OpenFace 2.0 is used to detect face images in video, and two deep convolution neural networks are used to extract spatiotemporal expression features. Furthermore, spatial convolution neural network is used to extract the spatial information features of each static expression image, and the dynamic information feature is extracted from the optical flow information of multiple expression images based on temporal convolution neural network. Then, the spatiotemporal features learned by the two deep convolution neural networks are fused by multiplication. Finally, the fused features are input into support vector machine to realize the facial expression classification. Experimental results show that the recognition accuracy of the proposed method can reach 64.57% and 60.89%, respectively on RML and Baum-ls datasets. It is better than that of other contrast methods.

Development of Mathematical Task Analytic Framework: Proactive and Reactive Features

  • Sheunghyun, Yeo;Jung, Colen;Na Young, Kwon;Hoyun, Cho;Jinho, Kim;Woong, Lim
    • Research in Mathematical Education
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    • v.25 no.4
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    • pp.285-309
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    • 2022
  • A large body of previous studies investigated mathematical tasks by analyzing the design process prior to lessons or textbooks. While researchers have revealed the significant roles of mathematical tasks within written curricular, there has been a call for studies about how mathematical tasks are implemented or what is experienced and learned by students as enacted curriculum. This article proposes a mathematical task analytic framework based on a holistic definition of tasks encompassing both written tasks and the process of task enactment. We synthesized the features of the mathematical tasks and developed a task analytic framework with multiple dimensions: breadth, depth, bridging, openness, and interaction. We also applied the scoring rubric to analyze three multiplication tasks to illustrate the framework by its five dimensions. We illustrate how a series of tasks are analyzed through the framework when students are engaged in multiplicative thinking. The framework can provide important information about the qualities of planned tasks for mathematics instruction (proactive) and the qualities of implemented tasks during instruction (reactive). This framework will be beneficial for curriculum designers to design rich tasks with more careful consideration of how each feature of the tasks would be attained and for teachers to transform mathematical tasks with the provision of meaningful learning activities into implementation.

Jointly Learning of Heavy Rain Removal and Super-Resolution in Single Images

  • Vu, Dac Tung;Kim, Munchurl
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2020.11a
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    • pp.113-117
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    • 2020
  • Images were taken under various weather such as rain, haze, snow often show low visibility, which can dramatically decrease accuracy of some tasks in computer vision: object detection, segmentation. Besides, previous work to enhance image usually downsample the image to receive consistency features but have not yet good upsample algorithm to recover original size. So, in this research, we jointly implement removal streak in heavy rain image and super resolution using a deep network. We put forth a 2-stage network: a multi-model network followed by a refinement network. The first stage using rain formula in the single image and two operation layers (addition, multiplication) removes rain streak and noise to get clean image in low resolution. The second stage uses refinement network to recover damaged background information as well as upsample, and receive high resolution image. Our method improves visual quality image, gains accuracy in human action recognition task in datasets. Extensive experiments show that our network outperforms the state of the art (SoTA) methods.

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