Journal articles: 'Cosine method'

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Kusban, M., B. Hari P, and A. Budiman. "Palmprint recognition using the cosine method." IOP Conference Series: Materials Science and Engineering 674 (November 14, 2019): 012041. http://dx.doi.org/10.1088/1757-899x/674/1/012041.

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Chau, K. W., S. C. P. Yam, and H. Yang. "Fourier-cosine method for ruin probabilities." Journal of Computational and Applied Mathematics 281 (June 2015): 94–106. http://dx.doi.org/10.1016/j.cam.2014.12.014.

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Lei, Lai, Cong Wang, Jie Gao, Jinjin Zhao, and Xiaowei Wang. "A Protection Method Based on Feature Cosine and Differential Scheme for Microgrid." Mathematical Problems in Engineering 2019 (March 10, 2019): 1–17. http://dx.doi.org/10.1155/2019/7248072.

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The fault current level of microgrid is different between islanded mode and grid connected mode. This situation degrades the performance of traditional overcurrent protection schemes. Hence, this paper proposes a protection method based on feature cosine and differential scheme. Firstly, feature cosine is proposed; it employs ellipse equation and minimum least squares to quantify the united behavior about voltage and current. Secondly, fault current direction and feature cosine are analyzed when fault occurs at different locations of a typical microgrid, and then the difference of feature cosine between faulty and healthy section locations is obtained. Thirdly, based on feature cosine and differential scheme, the differential direction is defined and utilized to detect faulty section location. Lastly, various time domain simulation case studies, including different microgrid operation modes, grounding resistances, faulty types, faulty section locations, and noise influence, are conducted and demonstrate that the proposed protection has high accuracy.

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Xie, Zong Wu, Cao Li, and Hong Liu. "Cosine Second Order Robot Trajectory Planning Method." Applied Mechanics and Materials 80-81 (July 2011): 1075–80. http://dx.doi.org/10.4028/www.scientific.net/amm.80-81.1075.

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A new joint space trajectory planning method for the series robot is proposed. Comparing with the traditional path planning methods which can only guarantee the planned trajectory velocity or acceleration continuous, the proposed trajectory planning algorithm can also ensure the derivative of acceleration (Jerk) continuous within a limit threshold. At the end of this paper, the proposed path planning algorithm is validated of having a great performance on robot trajectory tracking.

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Serbin, Steven M., and Alan Lamont Fisher. "A Post-Processor for the Cosine Method." SIAM Journal on Scientific and Statistical Computing 9, no. 1 (1988): 14–23. http://dx.doi.org/10.1137/0909002.

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Chau, K. W., S. C. P. Yam, and H. Yang. "Fourier-cosine method for Gerber–Shiu functions." Insurance: Mathematics and Economics 61 (March 2015): 170–80. http://dx.doi.org/10.1016/j.insmatheco.2015.01.008.

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徐, 艳妍. "A Fourier-Cosine Method for Pricing Timer Options." Pure Mathematics 06, no. 05 (2016): 449–58. http://dx.doi.org/10.12677/pm.2016.65061.

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Mu, Gui, Zhengde Dai, Jun Liu, and Jie Fu. "Periodic solution to general conduction problems." Thermal Science 17, no. 5 (2013): 1494–96. http://dx.doi.org/10.2298/tsci1305494m.

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In this paper, we present a modified exp-function method, where hyperbolic cosine and cosine functions are used. The hyperbolic cosine functions are responsible for energy localization while cosine functions reveal the periodic effect. A general conduction problem is used as an example to illustrate the solution process.

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Shaikhova, G. N. "TRAVELING WAVE SOLUTIONS OF TWO-DIMENSIONAL NONLINEAR SCHRODINGER EQUATION VIA SINE-COSINE METHOD." Eurasian Physical Technical Journal 17, no. 1 (2020): 169–74. http://dx.doi.org/10.31489/2020no1/169-174.

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Wazwaz, A. M. "A sine-cosine method for handlingnonlinear wave equations." Mathematical and Computer Modelling 40, no. 5-6 (2004): 499–508. http://dx.doi.org/10.1016/j.mcm.2003.12.010.

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Saeed, Amir, and Umer Saeed. "Sine‐cosine wavelet method for fractional oscillator equations." Mathematical Methods in the Applied Sciences 42, no. 18 (2019): 6960–71. http://dx.doi.org/10.1002/mma.5802.

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Bendifallah, A., R. Benzid, and M. Boulemden. "Improved ECG compression method using discrete cosine transform." Electronics Letters 47, no. 2 (2011): 87. http://dx.doi.org/10.1049/el.2010.3191.

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Mei, Shuli, and Wanlin Gao. "Shannon–Cosine wavelet spectral method for solving fractional Fokker–Planck equations." International Journal of Wavelets, Multiresolution and Information Processing 16, no. 03 (2018): 1850021. http://dx.doi.org/10.1142/s0219691318500212.

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The windowed-Shannon wavelet is not recommended generally as the window function will destroy the partition of unity of Shannon mother wavelet. A novel windowing scheme is proposed to overcome the shortcoming of the general windowed-Shannon function, and then, a novel and efficient Shannon–Cosine wavelet spectral method is provided for solving the fractional PDEs. Taking full advantage of the waveform of sinc function to hold the partition of unity, Shannon–Cosine wavelet is constructed, which is composed of Shannon wavelet and the trigonometric polynomials. It was proved that the proposed wavelet function meets the requirements of being a trial function and possesses many other excellent properties such as normalization, interpolation, two-scale relations, compact support domain, and so on. Therefore, it is a real wavelet function instead of a general Shannon–Gabor wavelet which is a kind of quasi-wavelet. Next, by means of the Shannon–Cosine wavelet collocation method, the corresponding algebraic equation system of the fractional Fokker–Planck equation can be obtained. Approximate solutions of the fractional Fokker–Plank equations are compared with the exact solutions. These calculations illustrate that the accuracy of the Shannon–Cosine wavelet collocation solutions is quite high even using a small number of grid points.

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Qu, Si Yuan, and Xing Fang Xu. "The Evaluation of Intercity Railway Train Operation Plan Based on Multi Index Cosine Decision." Advanced Materials Research 598 (November 2012): 130–34. http://dx.doi.org/10.4028/www.scientific.net/amr.598.130.

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The evaluation of train operation plan is the important means of optimizing train operation plan. It is also a complex multi index comprehensive evaluation problem. Based on comparison of angle cosine value between line segment in each scheme and ideal line segment in ideal scheme, cosine decisions get the optimal decision scheme. Through the main factor analysis of intercity railway train plan and by combining the entropy weight coefficient method and using the cosine decision method the evaluation of index system of intercity railway train plan is established. Taking the Shanghai-Nanjing intercity railway for example, the results shows that cosine decision is adapt to the actual operation with simple calculation process, easy to use. The evaluation model should provide new ideas and methods for the optimization the train operation plan so as to provide technical support for intercity railway operation.

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Sun, Qiu Dong, Jian Cun Zuo, Yu Feng Shao, and Lin Gui. "A Dual Image Scrambling Method Based on Discrete Cosine Transform." Applied Mechanics and Materials 556-562 (May 2014): 4722–25. http://dx.doi.org/10.4028/www.scientific.net/amm.556-562.4722.

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Although the general random scrambling based on pixel can achieve a good chaotic effect, but it can not change the histogram of a digital image. We introduce the random scrambling into the domain of discrete cosine transform (DCT) of image and scramble the coefficients of DCT to improve the performance of scrambling. Firstly, we did 2-D discrete cosine transform to the original image. Secondly, we scanned the coefficients matrix of DCT by Zig-Zag scanning to get a 1-D sequence, and then we scrambled this sequence by 1-D random scrambling algorithm. Thirdly, we did inverse Zig-Zag scanning to the scrambled sequence and reconstructed the scrambled image from the chaotic coefficients matrix by 2-D inverse discrete cosine transform. Finally, to further improve the scrambling degree of the reconstructed result, we scrambled it again in space domain to gain the encryption image. Experiments show that this algorithm is effective at visual evaluation and is more stable in scrambling degree than Arnold transformation.

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Abimanyu, Cokorda Gde, and Ngurah Agus Sanjaya ER. "Automatic Essay Answer Rating Using the Text Similarity Method." JELIKU (Jurnal Elektronik Ilmu Komputer Udayana) 8, no. 4 (2020): 463. http://dx.doi.org/10.24843/jlk.2020.v08.i04.p12.

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Assesments are required in order to evaluate the performance of students. A typical method of learning assesments in class is by examination. An essay type exam is a form of assesment where there are no answer choices provided and generally applied to measure the students’ level of understanding of the knowledge. To asses the quality of the essay answers manually is a subjective task as well as time consuming. In this reasearch, we propose an automatic method of assessing essay answers by applying the cosine similarity method. In this research, the students’ answer document and the correct answer document are used as input. Both documents are then preprocessed and represented in vector form using word2vec. We then measure the similarity between the documents by calculating the cosine similarity of the two vectors. The cosine similarity values are converted back again and used as the final grades. The results of the final grade are then compared to the values given by the instructor to show accuracy of the proposed approach.

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Wu, Ru-Shan, Yongzhong Wang, and Mingqiu Luo. "Beamlet migration using local cosine basis." GEOPHYSICS 73, no. 5 (2008): S207—S217. http://dx.doi.org/10.1190/1.2969776.

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We have developed the theoretical foundation and technical details of a migration method using a local-cosine-bases (LCB) beamlet propagator. A beamlet propagator for heterogeneous media based on local perturbation theory is derived, and a fast implementation method is constructed. The use of local background velocities and local perturbations results in a two-scale decomposition of beamlet propagators: a background propagator for large-scale structures and a local phase-screen correction for small-scale local perturbations. Because of its locally adaptive nature, the beamlet propagator can handle strong lateral velocity variations with improved accuracy. For high-efficiency migration, we use a table-driven method and apply some techniques of sparse matrix operations. Compared with the Fourier finite-dif-ference and generalized screen propagator methods, the image quality and computational efficiency are similar. In some cases, we see fewer migration artifacts around and inside salt bodies with our method. We attribute this to the better high-angle accuracy of beamlet propagators in strong-contrast media. Numerical tests using synthetic data sets of the SEG-EAGE 2D salt model, Marmousi model, and Sigsbee 2A model demonstrate its high accuracy and reasonable efficiency. Another special feature of LCB beamlet migration is the availability of information in the local wavenumber domain during migration, which can be used to correct acquisition aperture effect and for other processing. Compared to beamlet migration using the Gabor-Daubechies frame (GDF) propagator, LCB migration is much more efficient because LCB is an orthonormal basis, whereas GDF has redundancy (usually greater than two) in the decomposition.

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Kivinukk, Andi, Anna Saksa, and Maria Zeltser. "On a cosine operator function framework of approximation processes in Banach space." Filomat 33, no. 13 (2019): 4213–28. http://dx.doi.org/10.2298/fil1913213k.

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We introduce the cosine-type approximation processes in abstract Banach space setting. The historical roots of these processes go back to W. W. Rogosinski in 1926. The given new definitions use a cosine operator functions concept. We proved that in presented setting the cosine-type operators possess the order of approximation, which coincide with results known in trigonometric approximation. Moreover, a general method for factorization of certain linear combinations of cosine operator functions is presented. The given method allows to find the order of approximation using the higher order modulus of continuity. Also applications for the different type of approximations are given.

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Eremenko, V. S., V. P. Babak, and A. O. Zaporozhets. "METHOD OF REFERENCE SIGNALS CREATING IN NON-DESTRUCTIVE TESTING BASED ON LOW-SPEED IMPACT." Tekhnichna Elektrodynamika 2021, no. 4 (2021): 70–82. http://dx.doi.org/10.15407/techned2021.04.070.

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The article describes the approach to the formation of a simulation model of information signals, which are typical for objects with different types of defects. The dispersive analysis of the signal spectrum components in the bases of the discrete Hartley transform and the discrete cosine transform is carried out. The analysis of the form of the reconstructed information signal is carried out depending on the number of coefficients of the spectral alignment in Hartley bases and cosine functions. The basis of orthogonal functions of a discrete argument is obtained, which can be used for the spectral transformation of information signals of a flaw detector. A method of simulation of information signals has been developed and experimentally investigated, which allows taking into account the deterministic and random components of the characteristics of real information signals. References 24, figures 13, tables 3.

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Xing, Ruyi, Yanqiao Li, Qing Wang, Yangyang Wu, and Shu-Li Mei. "Point-Symmetric Extension-Based Interval Shannon-Cosine Spectral Method for Fractional PDEs." Discrete Dynamics in Nature and Society 2020 (June 2, 2020): 1–10. http://dx.doi.org/10.1155/2020/4565036.

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The approximation accuracy of the wavelet spectral method for the fractional PDEs is sensitive to the order of the fractional derivative and the boundary condition of the PDEs. In order to overcome the shortcoming, an interval Shannon-Cosine wavelet based on the point-symmetric extension is constructed, and the corresponding spectral method on the fractional PDEs is proposed. In the research, a power function of cosine function is introduced to modulate Shannon function, which takes full advantage of the waveform of the Shannon function to ensure that many excellent properties can be satisfied such as the partition of unity, smoothness, and compact support. And the interpolative property of Shannon wavelet is held at the same time. Then, based on the point-symmetric extension and the general variational theory, an interval Shannon-Cosine wavelet is constructed. It is proved that the first derivative of the approximated function with this interval wavelet function is continuous. At last, the wavelet spectral method for the fractional PDEs is given by means of the interval Shannon-Cosine wavelet. By means of it, the condition number of the discrete matrix can be suppressed effectively. Compared with Shannon and Shannon-Gabor wavelet quasi-spectral methods, the novel scheme has stronger applicability to the shockwave appeared in the solution besides the higher numerical accuracy and efficiency.

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Nafornita, Miranda, Alexandru Isar, and Dorina Isar. "A new speech compression method." Facta universitatis - series: Electronics and Energetics 17, no. 3 (2004): 391–404. http://dx.doi.org/10.2298/fuee0403391n.

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In this paper a new speech compression method is presented. The traditional speech compression method is based on linear prediction. The compression method, proposed in this paper, is based on the use of an orthogonal transform, the discrete cosine packets transform. This method is well suited for the speech processing, taking into account the sine model of this kind of signals and because this transform converges asymptotically to the Karhunen-Lofleve transform. After the computation of the discrete cosine packets transform, the coefficients obtained are processed with a threshold detector, who keeps only the coefficients superior to a given threshold. This way the number of non zero coefficients is reduced doing the compression. The next block of the compression system is the quantization system. This is build following the speech psycho-acoustic model. The proposed compression method is transparent, the compression rate obtained is important and the operations number and the memory volume used are not very high.

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Zhang, Sheng Wen, Yang Liu, Xi Feng Fang, and Gui Cheng Wang. "Research of Sequencing Working Steps Method for Box Part." Advanced Materials Research 97-101 (March 2010): 2412–17. http://dx.doi.org/10.4028/www.scientific.net/amr.97-101.2412.

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A reasonable process route is important for assuring the product quality and improving the production efficiency. This paper analyzes the sequencing essence of box part working step，and on the basis of deducting the concept of “Inner Product Angle Cosine of n Dimension Vector”, this paper advances a new algorithm called as “Inner Product Angle Cosine of n Dimension Vector” to sequence the working procedure. Through analyzing the algorithm flow and combining with the example used to demonstrate it, this algorithm is proved to own a more reasonable math theory basis, an overall optimization character and a stable convergence character in a more strict sense.

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Lia Hananto, April, Sarina Sulaiman, Sigit Widiyanto, and Aviv Yuniar Rahman. "Evaluation comparison of wave amount measurement results in brass-plated tire steel cord using RMSE and cosine similarity." Indonesian Journal of Electrical Engineering and Computer Science 22, no. 1 (2021): 207. http://dx.doi.org/10.11591/ijeecs.v22.i1.pp207-214.

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<span lang="IN">In the production process, quality checking is very important, one of which is on the wire. In the process of making brass-coated steel tire straps sometimes produce quality goods not in accordance with the desired standard values. Checks that are carried out manually have low efficiency and quite high errors occur. So it is necessary to check by measuring the wavelength on the brass plated steel cord automatically. In this study, used 3 automatic measurement methods using 2 evaluations, namely RMSE and Cosine Similarity. The results showed the best measurement using RMSE with method 2. Whereas the worst method uses RMSE with method 1. The smallest RMSE value is 0.0098 and the largest RMSE is 0.0966. The lowest Cosine Similarity value is 0.1253, while the highest Cosine Similarity value is 0.2079.</span>

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Goudenège, Ludovic, Andrea Molent, Xiao Wei, and Antonino Zanette. "Fourier-Cosine Method for Pricing and Hedging Insurance Derivatives." Theoretical Economics Letters 08, no. 03 (2018): 282–91. http://dx.doi.org/10.4236/tel.2018.83020.

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Hua Xu, Wu-Sheng Lu, and A. Antoniou. "Efficient iterative design method for cosine-modulated QMF banks." IEEE Transactions on Signal Processing 44, no. 7 (1996): 1657–68. http://dx.doi.org/10.1109/78.510614.

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Argüoello, F., and E. L. Zapata. "Fast cosine transform based on the successive doubling method." Electronics Letters 26, no. 19 (1990): 1616. http://dx.doi.org/10.1049/el:19901036.

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Afshar, Pegah Tootoonchi, and Wing Hung Wong. "COSINE: non-seeding method for mapping long noisy sequences." Nucleic Acids Research 45, no. 14 (2017): e132-e132. http://dx.doi.org/10.1093/nar/gkx511.

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Pan, G. W., Y. V. Tretiakov, and B. Gilbert. "Smooth local cosine based galerkin method for scattering problems." IEEE Transactions on Antennas and Propagation 51, no. 6 (2003): 1177–84. http://dx.doi.org/10.1109/tap.2003.809086.

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Lecompte, Jonathan, Olivier Legoff, and Jean-Yves Hascoet. "Technological form defects identification using discrete cosine transform method." International Journal of Advanced Manufacturing Technology 51, no. 9-12 (2010): 1033–44. http://dx.doi.org/10.1007/s00170-010-2687-2.

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Bibi, Sadaf, and Syed Tauseef Mohyud-Din. "Traveling wave solutions of KdVs using sine–cosine method." Journal of the Association of Arab Universities for Basic and Applied Sciences 15, no. 1 (2014): 90–93. http://dx.doi.org/10.1016/j.jaubas.2013.03.006.

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Lee, Wing Yan, Xiaolong Li, Fangda Liu, Yifan Shi, and Sheung Chi Phillip Yam. "A Fourier-cosine method for finite-time ruin probabilities." Insurance: Mathematics and Economics 99 (July 2021): 256–67. http://dx.doi.org/10.1016/j.insmatheco.2021.03.001.

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Li, Xiaolong, Yifan Shi, Sheung Chi Phillip Yam, and Hailiang Yang. "Fourier-Cosine Method for Finite-Time Gerber--Shiu Functions." SIAM Journal on Scientific Computing 43, no. 3 (2021): B650—B677. http://dx.doi.org/10.1137/20m1328580.

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Sintia, Sintia, Sarjon Defit, and Gunadi Widi Nurcahyo. "Product Codefication Accuracy With Cosine Similarity And Weighted Term Frequency And Inverse Document Frequency (TF-IDF)." Journal of Applied Engineering and Technological Science (JAETS) 2, no. 2 (2021): 62–69. http://dx.doi.org/10.37385/jaets.v2i2.210.

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In the SiPaGa application, the codefication search process is still inaccurate, so OPD often make mistakes in choosing goods codes. So we need Cosine Similarity and TF-IDF methods that can improve the accuracy of the search. Cosine Similarity is a method for calculating similarity by using keywords from the code of goods. Term Frequency and Inverse Document (TFIDF) is a way to give weight to a one-word relationship (term). The purpose of this research is to improve the accuracy of the search for goods codification. Codification of goods processed in this study were 14,417 data sourced from the Goods and Price Planning Information System (SiPaGa) application database. The search keywords were processed using the Cosine Similarity method to see the similarities and using TF-IDF to calculate the weighting. This research produces the calculation of cosine similarity and TF-IDF weighting and is expected to be applied to the SiPaGa application so that the search process on the SiPaGa application is more accurate than before. By using the cosine sismilarity algorithm and TF-IDF, it is hoped that it can improve the accuracy of the search for product codification. So that OPD can choose the product code as desired

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Dubey, Vimal Kumar, and Amit Kumar Saxena. "A Cosine-Similarity Mutual-Information Approach for Feature Selection on High Dimensional Datasets." Journal of Information Technology Research 10, no. 1 (2017): 15–28. http://dx.doi.org/10.4018/jitr.2017010102.

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A novel hybrid method based on Cosine Similarity and Mutual Information is presented to find out relevant feature subset. Initially, the supervised Cosine Similarity of each feature is calculated with respect to the class vector and then features are grouped based on the obtained cosine similarity values. From each group the best mutual informative feature is selected. The selected features subset is tested using the three classifiers namely Naïve Bayes (NB), K-Nearest Neighbor and Classification and Regression trees (CART) for getting classification accuracy. The proposed method is applied to various high dimensional datasets. Obtained results showed that the proposed method is capable of eliminating the redundant and irrelevant features.

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Liu, Donghai, Yuanyuan Liu, and Xiaohong Chen. "The New Similarity Measure and Distance Measure of a Hesitant Fuzzy Linguistic Term Set Based on a Linguistic Scale Function." Symmetry 10, no. 9 (2018): 367. http://dx.doi.org/10.3390/sym10090367.

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The existing cosine similarity measure for hesitant fuzzy linguistic term sets (HFLTSs) has an impediment as it does not satisfy the axiom of similarity measure. Due to this disadvantage, a new similarity measure combining the existing cosine similarity measure and the Euclidean distance measure of HFLTSs is proposed, which is constructed based on a linguistic scale function; the related properties are also given. According to the relationship between the distance measure and the similarity measure, a corresponding distance measure between HFLTSs is obtained. Furthermore, we generalize the technique for order preference by similarity to an ideal solution (TOPSIS) method to the obtained distance measure of the HFLTSs. The principal advantages of the proposed method are that it cannot only effectively transform linguistic information in different semantic environments, but it can also avoid the shortcomings of existing the cosine similarity measure. Finally, a case study is conducted to illustrate the feasibility and effectiveness of the proposed method, which is compared to the existing methods.

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Zeng, Libing, Keding Qin, and Shengqiang Tang. "Exact Explicit Traveling Wave Solution for the Generalized (2+1)-Dimensional Boussinesq Equation." ISRN Applied Mathematics 2011 (June 21, 2011): 1–10. http://dx.doi.org/10.5402/2011/419678.

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The sine-cosine method and the extended tanh method are used to construct exact solitary patterns solution and compactons solutions of the generalized (2+1)-dimensional Boussinesq equation. The compactons solutions and solitary patterns solutions of the generalized (2+1)-dimensional Boussinesq equation are successfully obtained. These solutions may be important and of significance for the explanation of some practical physical problems. It is shown that the sine-cosine and the extended tanh methods provide a powerful mathematical tool for solving great many nonlinear partial differential equations in mathematical physics.

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Kar, Arindam, Debotosh Bhattacharjee, Dipak Kumar Basu, Mita Nasipuri, and Mahantapas Kundu. "A Gabor-Block-Based Kernel Discriminative Common Vector Approach Using Cosine Kernels for Human Face Recognition." Computational Intelligence and Neuroscience 2012 (2012): 1–12. http://dx.doi.org/10.1155/2012/421032.

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In this paper a nonlinear Gabor Wavelet Transform (GWT) discriminant feature extraction approach for enhanced face recognition is proposed. Firstly, the low-energized blocks from Gabor wavelet transformed images are extracted. Secondly, the nonlinear discriminating features are analyzed and extracted from the selected low-energized blocks by the generalized Kernel Discriminative Common Vector (KDCV) method. The KDCV method is extended to include cosine kernel function in the discriminating method. The KDCV with the cosine kernels is then applied on the extracted low-energized discriminating feature vectors to obtain the real component of a complex quantity for face recognition. In order to derive positive kernel discriminative vectors, we apply only those kernel discriminative eigenvectors that are associated with nonzero eigenvalues. The feasibility of the low-energized Gabor-block-based generalized KDCV method with cosine kernel function models has been successfully tested for classification using theL1, L2distance measures; and the cosine similarity measure on both frontal and pose-angled face recognition. Experimental results on the FRAV2D and the FERET database demonstrate the effectiveness of this new approach.

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Ding, Deng, and Wenfei Wang. "An accumulator pricing method based on Fourier cosine series expansions." International Journal of Financial Engineering 02, no. 02 (2015): 1550019. http://dx.doi.org/10.1142/s242478631550019x.

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Accumulator is a highly path dependant derivative structure, whose underlying assets can be currency rate, stock price, power source and so on. This paper studies the accumulator pricing problems under different setting of the contract. First, we review pricing an accumulator in which the barrier is applied continuously. Second, without analytical formulae, the price of an accumulator with barrier applied discretely has to be determined by approximation or numerical methods. The Fourier cosine expansions method, initiated by Fang and Oosterlee [SIAM Journal on Scientific Computing, 31(2), 826–848], is applied to present a numerical method to solve it. The numerical results, compared with Barrier Correction method and Monte Carlo simulation method, are given to show the efficiency of the presented method. The last part gives a financial analysis about the risk hidden in an accumulator.

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Du, Wei Dong, Bao Wei Chen, Hai Sen Li, and Chao Xu. "A Novel Classification Method of Fish Based on Multi-Feature Fusion." Applied Mechanics and Materials 713-715 (January 2015): 1513–19. http://dx.doi.org/10.4028/www.scientific.net/amm.713-715.1513.

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In order to solve fish classification problems based on acoustic scattering data, temporal centroid (TC) features and discrete cosine transform (DCT) coefficients features used to analyze acoustic scattering characteristics of fish from different aspects are extracted. The extracted features of fish are reduced in dimension and fused, and support vector machine (SVM) classifier is used to classify and identify the fishes. Three kinds of different fishes are selected as research objects in this paper, the correct identification rates are given based on temporal centroid features and discrete cosine transform coefficients features and fused features. The processing results of actual experimental data show that multi-feature fusion method can improve the identification rate at about 5% effectively.

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Shinozuka, Masanobu, and George Deodatis. "Simulation of Multi-Dimensional Gaussian Stochastic Fields by Spectral Representation." Applied Mechanics Reviews 49, no. 1 (1996): 29–53. http://dx.doi.org/10.1115/1.3101883.

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The subject of this paper is the simulation of multi-dimensional, homogeneous, Gaussian stochastic fields using the spectral representation method. Following this methodology, sample functions of the stochastic field can be generated using a cosine series formula. These sample functions accurately reflect the prescribed probabilistic characteristics of the stochastic field when the number of terms in the cosine series is large. The ensemble-averaged power spectral density or autocorrelation function approaches the corresponding target function as the sample size increases. In addition, the generated sample functions possess ergodic characteristics in the sense that the spatially-averaged mean value, autocorrelation function and power spectral density function are identical with the corresponding targets, when the averaging takes place over the multi-dimensional domain associated with the fundamental period of the cosine series. Another property of the simulated stochastic field is that it is asymptotically Gaussian as the number of terms in the cosine series approaches infinity. The most important feature of the method is that the cosine series formula can be numerically computed very efficiently using the Fast Fourier Transform technique. The main area of application of this method is the Monte Carlo solution of stochastic problems in structural engineering, engineering mechanics and physics. Specifically, the method has been applied to problems involving random loading (random vibration theory) and random material and geometric properties (response variability due to system stochasticity).

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Kate, Rohit J. "Normalizing clinical terms using learned edit distance patterns." Journal of the American Medical Informatics Association 23, no. 2 (2015): 380–86. http://dx.doi.org/10.1093/jamia/ocv108.

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Abstract Background Variations of clinical terms are very commonly encountered in clinical texts. Normalization methods that use similarity measures or hand-coded approximation rules for matching clinical terms to standard terminologies have limited accuracy and coverage. Materials and Methods In this paper, a novel method is presented that automatically learns patterns of variations of clinical terms from known variations from a resource such as the Unified Medical Language System (UMLS). The patterns are first learned by computing edit distances between the known variations, which are then appropriately generalized for normalizing previously unseen terms. The method was applied and evaluated on the disease and disorder mention normalization task using the dataset of SemEval 2014 and compared with the normalization ability of the MetaMap system and a method based on cosine similarity. Results Excluding the mentions that already exactly match in UMLS and the training dataset, the proposed method obtained 64.7% accuracy on the rest of the test dataset. The accuracy was calculated as the number of mentions that correctly matched the gold-standard concept unique identifiers (CUIs) or correctly matched to be without a CUI. In comparison, MetaMap’s accuracy was 41.9% and cosine similarity’s accuracy was 44.6%. When only the output CUIs were evaluated, the proposed method obtained 54.4% best F -measure (at 92.1% precision and 38.6% recall) while MetaMap obtained 19.4% best F -measure (at 38.0% precision and 13.0% recall) and cosine similarity obtained 38.1% best F -measure (at 70.3% precision and 26.1% recall). Conclusions The novel method was found to perform much better than the MetaMap system and the cosine similarity based method in normalizing disease mentions in clinical text that did not exactly match in UMLS. The method is also general and can be used for normalizing clinical terms of other semantic types as well.

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Hutem, Artit, and Piyarut Moonsri. "Evaluated Excited-State Time-Independent Correlation Function and Eigenfunction of the Harmonics Oscillator Cosine Asymmetric Potential via Numerical Shooting Method." Physics Research International 2015 (February 23, 2015): 1–10. http://dx.doi.org/10.1155/2015/609495.

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We aimed to evaluate the ground-state and excite-state energy eigenvalue (En), wave function, and the time-independent correlation function of the atomic density fluctuation of a particle under the harmonics oscillator Cosine asymmetric potential (Saad et al. 2013). Instead of using the 6-point kernel of 4 Green’s function (Cherroret and Skipetrov, 2008), averaged over disorder, we use the numerical shooting method (NSM) to solve the Schrödinger equation of quantum mechanics system with Cosine asymmetric potential. Since our approach does not use complicated formulas, it requires much less computational effort when compared to the Green functions techniques (Cherroret and Skipetrov, 2008). We show that the idea of the program of evaluating time-independent correlation function of atomic density is underdamped motion for the Cosine asymmetric potential from the numerical shooting method of this problem. Comparison of the time-independent correlation function obtained from numerical shooting method by Boonchui and Hutem (2012) and correlation function experiment by Kasprzak et al. (2008). We show the intensity of atomic density fluctuation (δn(x)=n~(x)-m~(x)) in harmonics oscillator Cosine asymmetric potential by numerical shooting method.

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Liu, Donghai, Xiaohong Chen, and Dan Peng. "Cosine Similarity Measure between Hybrid Intuitionistic Fuzzy Sets and Its Application in Medical Diagnosis." Computational and Mathematical Methods in Medicine 2018 (October 17, 2018): 1–7. http://dx.doi.org/10.1155/2018/3146873.

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In this paper, a cosine similarity measure between hybrid intuitionistic fuzzy sets is proposed. The aim of the paper is to investigate the cosine similarity measure with hybrid intuitionistic fuzzy information and apply it to medical diagnosis. Firstly, we construct the cosine similarity measure between hybrid intuitionistic fuzzy sets, and the relevant properties are also discussed. In order to obtain a reasonable evaluation in group decision, the weight of experts under different attributes is determined by the projection of individual decision information on the ideal decision information, where the ideal decision information is the average values of each expert’s evaluation. Furthermore, we propose a decision method for medical diagnosis based on the cosine similarity measure between hybrid intuitionistic fuzzy sets, and the patient can be diagnosed with the disease according to the values of proposed cosine similarity measure. Finally, an example is given to illustrate feasibility and effectiveness of the proposed cosine similarity measure, which is also compared with the existing similarity measures.

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Petros, Biruk. "Navier-Stokes Three Dimensional Equations Solutions Volume Three." Journal of Mathematics Research 10, no. 4 (2018): 128. http://dx.doi.org/10.5539/jmr.v10n4p128.

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Solution of Navier-Stokes equation is found by introducing new method for solving differential equations. This new method is writing periodic scalar function in any dimensions and any dimensional vector fields as the sum of sine and cosine series with proper coefficients. The method is extension of Fourier series representation for one variable function to multi-variable functions and vector fields.Before solving Navier-Stokes equations we introduce a new technique for writing periodic scalar functions or vector fields as the sum of cosine and sine series with proper coefficients. Fourier series representation is background for our new technique.Periodic nature of initial velocity for Navier-Stokes problem helps us write the vector field in the form of cosine and sine series sum which simplify the problem.

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Liu, Donghai, Xiaohong Chen, and Dan Peng. "Cosine Distance Measure between Neutrosophic Hesitant Fuzzy Linguistic Sets and Its Application in Multiple Criteria Decision Making." Symmetry 10, no. 11 (2018): 602. http://dx.doi.org/10.3390/sym10110602.

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This paper proposes a neutrosophic hesitant fuzzy linguistic term set (NHFLTS) based on hesitant fuzzy linguistic term set (HFLTS) and neutrosophic set (NS), which can express the inconsistent and uncertainty information flexibly in multiple criteria decision making problems. The basic operational laws of NHFLTS based on linguistic scale function are also discussed. Then we propose the generalized neutrosophic hesitant fuzzy linguistic distance measure and discuss its properties. Furthermore, a new similarity measure of NHFLTS combines the generalized neutrosophic hesitant fuzzy linguistic distance measure and the cosine function is given. A corresponding cosine distance measure between NHFLTSs is proposed according to the relationship between the similarity measure and the distance measure, and we develop the technique for order preference by similarity to an ideal solution (TOPSIS) method to the obtained cosine distance measure. The main advantages of the proposed NHFLTS is defined on linguistic scale function, the decision makers can flexibly convert the linguistic information to semantic values, and the proposed cosine distance measure between NHFLTSs with TOPSIS method can deal with the related decision information not only from the point of view of algebra, but also from the point of view of geometry. Finally, the reasonableness and effectiveness of the proposed method is demonstrated by the illustrative example, which is also compared to the other existing methods.

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Guo, Lin, and Qin Ke Peng. "A Combinative Similarity Computing Measure for Collaborative Filtering." Applied Mechanics and Materials 347-350 (August 2013): 2919–25. http://dx.doi.org/10.4028/www.scientific.net/amm.347-350.2919.

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Similarity method is the key of the user-based collaborative filtering recommend algorithm. The traditional similarity measures, which cosine similarity, adjusted cosine similarity and Pearson correlation similarity are included, have some advantages such as simple, easy and fast, but with the sparse dataset they may lead to bad recommendation quality. In this article, we first research how the recommendation qualities using the three similarity methods respectively change with the different sparse datasets, and then propose a combinative similarity measure considering the account of items users co-rated. Compared with the three algorithms, our method shows its satisfactory performance with the same computation complexity.

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Zhou, Haibo, Shun Zhou, Jia Yu, Zhongdang Zhang, and Zhenzhong Liu. "Trajectory Optimization of Pickup Manipulator in Obstacle Environment Based on Improved Artificial Potential Field Method." Applied Sciences 10, no. 3 (2020): 935. http://dx.doi.org/10.3390/app10030935.

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In order to realize the technique of quick picking and obstacle avoidance, this work proposes a trajectory optimization method for the pickup manipulator under the obstacle condition. The proposed method is based on the improved artificial potential field method and the cosine adaptive genetic algorithm. Firstly, the Denavit–Hartenberg (D-H) method is used to carry out the kinematics modeling of the pickup manipulator. Taking into account the motion constraints, the cosine adaptive genetic algorithm is utilized to complete the time-optimal trajectory planning. Then, for the collision problem in the obstacle environment, the artificial potential field method is used to establish the attraction, repulsion, and resultant potential field functions. By improving the repulsion potential field function and increasing the sub-target point, obstacle avoidance planning of the improved artificial potential field method is completed. Finally, combined with the improved artificial potential field method and cosine adaptive genetic algorithm, the movement simulation analysis of the five-Degree-of-Freedom pickup manipulator is carried out. The trajectory optimization under the obstacle environment is realized, and the picking efficiency is improved.

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Sevcik, Bretislav. "Time-Domain Predistortion Method Based on Raised Cosine Signaling in Real Transmission Channels." Active and Passive Electronic Components 2012 (2012): 1–5. http://dx.doi.org/10.1155/2012/596481.

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The concept of time-domain predistortion method based on raised cosine signaling is applied in real transmission channels. The proposed PWM-RC method uses raised-cosine pulse shaping instead of conventional rectangular digital signals and pulse-width modulation (PWM) scheme to achieve better output channel data response in harsh channel environment. The conventional predistortion methods based on pulse amplitude adjusting are not compatible with modern low-power CMOS design. Currently existing time-domain predistortion methods which are only based on a PWM scheme show many highfrequency signal harmonic components for both fast and slow signal transitions. It can cause more system crosstalk susceptibility if the crosstalk is dominant factor in transmission channel. In this case, the additional preemphasis boosted undesirable high-frequency components. Finally, the real channel transfer functions in connection with ADS Agilent development studio are used to compare the performance of proposed method with other predistortion methods.

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Zahrotun, Lisna. "Comparison Jaccard similarity, Cosine Similarity and Combined Both of the Data Clustering With Shared Nearest Neighbor Method." Computer Engineering and Applications Journal 5, no. 1 (2016): 11–18. http://dx.doi.org/10.18495/comengapp.v5i1.160.

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Text Mining is the excavations carried out by the computer to get something new that comes from information extracted automatically from data sources of different text. Clustering technique itself is a grouping technique that is widely used in data mining. The aim of this study was to find the most optimum value similarity. Jaccard similarity method used similarity, cosine similarity and a combination of Jaccard similarity and cosine similarity. By combining the two similarity is expected to increase the value of the similarity of the two titles. While the document is used only in the form of a title document of practical work in the Department of Informatics Engineering University of Ahmad Dahlan. All these articles have been through the process of preprocessing beforehand. And the method used is the method of document clustering with Shared Nearest Neighbor (SNN). Results from this study is the cosine similarity method gives the best value of proximity or similarity compared to Jaccard similarity and a combination of both

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Resta, Oppi Anda, Addin Aditya, and Febry Eka Purwiantono. "Plagiarism Detection in Students' Theses Using The Cosine Similarity Method." SinkrOn 5, no. 2 (2021): 305–13. http://dx.doi.org/10.33395/sinkron.v5i2.10909.

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The main requirement for graduation from students is to make a final scientific paper. One of the factors determining the quality of a student's scientific work is the uniqueness and innovation of the work. This research aims to apply data mining methods to detect similarities in titles, abstracts, or topics of students' final scientific papers so that plagiarism does not occur. In this research, the cosine similarity method is combined with the preprocessing method and TF-IDF to calculate the level of similarity between the title and the abstract of a student's final scientific paper, then the results will be displayed and compared with the existing final project repository based on the threshold value to make a decision whether scientific work can be accepted or rejected. Based on the test data and training data that has been applied to the TF-IDF method, it shows that the percentage level of similarity between the training data document and the test data document is 8%. This shows that the student thesis is still classified as unique and does not contain plagiarism content. The findings of this study can help the university in managing the administration of student theses so that plagiarism does not occur. Furthermore, it is necessary to study further adding methods to increase the accuracy of system performance so that when the process is run the system will work faster and optimally.

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Journal articles on the topic 'Cosine method'

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