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Journal articles on the topic 'High (effective) dimension'

Author: Grafiati

Published: 26 October 2024

Last updated: 31 July 2025

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1

Li, Yehua, and Tailen Hsing. "Deciding the dimension of effective dimension reduction space for functional and high-dimensional data." Annals of Statistics 38, no. 5 (2010): 3028–62. http://dx.doi.org/10.1214/10-aos816.

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Wang, Xiaoqun, and Ian H. Sloan. "Why Are High-Dimensional Finance Problems Often of Low Effective Dimension?" SIAM Journal on Scientific Computing 27, no. 1 (2005): 159–83. http://dx.doi.org/10.1137/s1064827503429429.

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3

Susanto, Susanto, Deris Stiawan, M. Agus Syamsul Arifin, Mohd Yazid Idris, and Rahmat Budiarto. "Effective and efficient approach in IoT Botnet detection." SINERGI 28, no. 1 (2023): 31. http://dx.doi.org/10.22441/sinergi.2024.1.004.

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Internet of Things (IoT) technology presents an advantage to daily life, but this advantage is not a guarantee of security. This is because cyber-attacks, such as botnets, remain a threat to the user. Detection systems are one of the alternatives to maintain the security of IoT network. A reliable detection system should effectively detect botnets with high accuracy levels and low positive rate. It should be efficient to perform detection quickly. However, data generated by IoT networks have high dimensions and high scalability, so they need to be minimized. In network security analysis proces

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Ghosh, Swagata, Rashidul Islam, and Anirban Kundu. "Scattering unitarity with effective dimension-6 operators." Journal of Physics G: Nuclear and Particle Physics 45, no. 1 (2017): 015003. http://dx.doi.org/10.1088/1361-6471/aa9873.

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5

Lin, K. N., and P. Mantero. "Hypergraphs with high projective dimension and 1-dimensional hypergraphs." International Journal of Algebra and Computation 27, no. 06 (2017): 591–617. http://dx.doi.org/10.1142/s0218196717500291.

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(Dual) hypergraphs have been used by Kimura, Rinaldo and Terai to characterize squarefree monomial ideals [Formula: see text] with [Formula: see text], i.e. whose projective dimension equals the minimal number of generators of [Formula: see text] minus 1. In this paper, we prove sufficient and necessary combinatorial conditions for [Formula: see text]. The second main result is an effective explicit procedure to compute the projective dimension of a large class of 1-dimensional hypergraphs [Formula: see text] (the ones in which every connected component contains at most one cycle). An algorith

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RODULFO, E., and R. DELBOURGO. "ONE-LOOP EFFECTIVE MULTIGLUON LAGRANGIAN IN ARBITRARY DIMENSIONS." International Journal of Modern Physics A 14, no. 28 (1999): 4457–71. http://dx.doi.org/10.1142/s0217751x99002086.

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We exhibit the one-loop multigluon effective Lagrangian in any dimension for a field theory with a quasilocal background, using the background-field formalism. Specific results, including counterterms (up to 12 space–time dimensions), have been derived, applied to the Yang–Mills theory and found to be in agreement with other string-inspired approaches.

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Wuzhou Dong, Jingyan Cui, Haitao He, and Jiadong Ren. "Clustering over High-Dimensional Data Streams Based on Grid Density and Effective Dimension." International Journal of Advancements in Computing Technology 3, no. 8 (2011): 154–62. http://dx.doi.org/10.4156/ijact.vol3.issue8.18.

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Wang, Shuang-xi, Hong-wei Ge, Jian-ping Gou, Wei-hua Ou, He-feng Yin, and Shu-zhi Su. "Fusion of effective dimension reduction and discriminative dictionary learning for high-dimensional classification." Computers and Electrical Engineering 99 (April 2022): 107684. http://dx.doi.org/10.1016/j.compeleceng.2022.107684.

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Kim, Heetae, and Chang-Soo Park. "Generalized N-Dimensional Effective Temperature for Cryogenic Systems in Accelerator Physics." Quantum Beam Science 8, no. 3 (2024): 21. http://dx.doi.org/10.3390/qubs8030021.

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Investigations into the properties of generalized effective temperature are conducted across arbitrary dimensions. Maxwell–Boltzmann distribution is displayed for one, two, and three dimensions, with effective temperatures expressed for each dimension. The energy density of blackbody radiation is examined as a function of dimensionality. Effective temperatures for non-uniform temperature distributions in one, two, three, and higher dimensions are presented, with generalizations extended to arbitrary dimensions. Furthermore, the application of generalized effective temperature is explored not o

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10

Nie, Boxin, and Xiaojia Ran. "A Linear Discriminant Analysis model based on Sliced Inverse Regression lifting." Highlights in Science, Engineering and Technology 103 (June 26, 2024): 424–32. http://dx.doi.org/10.54097/07bdff79.

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Linear Discriminant Analysis is a dimension-reduction tool for high-dimensional data in the classical field of machine learning. However, for the binary classification problem in the case of high-dimensional prediction, the dimension of the dimension reduction space of the Linear Discriminant Analysis model cannot be greater than the number of categories, that is, it can only be reduced to one dimension, which will greatly lose the effective information of the original prediction variable for the response variable. Based on this, this paper proposes an improved Linear Discriminant Analysis mod

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CLARK, T. E., and S. T. LOVE. "THE EFFECTIVE POTENTIAL AND ADDITIONAL LARGE RADIUS COMPACTIFIED SPACE–TIME DIMENSIONS." International Journal of Modern Physics A 15, no. 31 (2000): 4933–42. http://dx.doi.org/10.1142/s0217751x00002238.

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The consequences of large radius extra space–time compactified dimensions on the four-dimensional one-loop effective potential are investigated for a model which includes scalar self interactions and Yukawa coupling to fermions. The Kaluza–Klein tower of states associated with the extra compact dimensions shifts the location of the effective potential minimum and modifies its curvature. The dependence of these effects on the radius of the extra dimension is illustrated for various choices of coupling constants and masses. For large radii, the consequence of twisting the fermion boundary condit

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MOUNT, JOHN. "Fast Unimodular Counting." Combinatorics, Probability and Computing 9, no. 3 (2000): 277–85. http://dx.doi.org/10.1017/s0963548300004193.

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This paper describes methods for counting the number of nonnegative integer solutions of the system Ax = b when A is a nonnegative totally unimodular matrix and b an integral vector of fixed dimension. The complexity (under a unit cost arithmetic model) is strong in the sense that it depends only on the dimensions of A and not on the size of the entries of b. For the special case of ‘contingency tables’ the run-time is 2O(√dlogd) (where d is the dimension of the polytope). The method is complementary to Barvinok's in that our algorithm is effective on problems of high dimension with a fixed nu

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Patel, Damodar, and Amit Kumar Saxena. "Feature Selection in High Dimension Datasets using Incremental Feature Clustering." Indian Journal Of Science And Technology 17, no. 32 (2024): 3318–26. http://dx.doi.org/10.17485/ijst/v17i32.2077.

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Objectives: To develop a machine learning-based model to select the most important features from a high-dimensional dataset to classify the patterns at high accuracy and reduce their dimensionality. Methods: The proposed feature selection method (FSIFC) forms and combines feature clusters incrementally and produces feature subsets each time. The method uses K-means clustering and Mutual Information (MI) to refine the feature selection process iteratively. Initially, two clusters of features are formed using K-means clustering (K=2) by taking features as the basis of clustering instead of takin

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Rima Nurmalah, Muhibudin Wijaya Laksana, and Hilma Mutiara Winata. "Pengaruh Inovasi Pada Aplikasi Access by KAI Terhadap Kualitas Pelayanan." PUBLIKA : Jurnal Ilmu Administrasi Publik 10, no. 1 (2024): 137–49. http://dx.doi.org/10.25299/jiap.2024.16859.

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Innovation in the Access by KAI application aims to provide better services to the public. However, this innovation encounters several issues such as limited technological access by the public, policy non-inclusivity, and lack of effectiveness in socialization efforts. Therefore, this study aims to investigate the impact of innovation in the Access by KAI application on service quality. Additionally, it aims to determine the effective contribution of innovation dimensions in the Access by KAI application to service quality. This research utilizes an associative method with a quantitative appro

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15

SUZUKI, HIROSHI. "RENORMALON'S CONTRIBUTION TO EFFECTIVE COUPLINGS." Modern Physics Letters A 13, no. 31 (1998): 2551–58. http://dx.doi.org/10.1142/s0217732398002710.

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When an asymptotically non-free theory possesses a mass parameter independent of the Λ parameter, the uv renormalon gives rise to nonperturbative contributions, to dimension-four operators and dimensionless couplings, thus has a "dual" effect of the instanton. We illustrate this phenomenon in O(N) symmetric massive λϕ4 model in the 1/N expansion. This effect of uv renormalon is briefly compared with nonperturbative corrections in the magnetic picture of the Seiberg–Witten theory.

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MIRZA, B., and M. ZAREI. "EFFECTIVE FIELD THEORY OF A LOCALLY NONCOMMUTATIVE SPACE–TIME AND EXTRA DIMENSIONS." International Journal of Modern Physics A 23, no. 16n17 (2008): 2613–33. http://dx.doi.org/10.1142/s0217751x08039529.

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We assume that the noncommutativity starts to be visible continuously from a scale ΛNC. According to this assumption, a two-loop effective action is derived for noncommutative ϕ4 and ϕ3 theories from a Wilsonian point of view. We show that these effective theories are free of UV/IR mixing phenomena. We also investigate the positivity constraint on coefficients of higher dimension operators present in the effective theory. This constraint makes the low energy theory to be UV completion of a full theory. Finally, we discuss noncommutativity and extra dimensions. In our effective theories formula

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Badakhshan Farahabadi, Fazel, Kianoush Fathi Vajargah, and Rahman Farnoosh. "Dimension Reduction Big Data Using Recognition of Data Features Based on Copula Function and Principal Component Analysis." Advances in Mathematical Physics 2021 (July 11, 2021): 1–8. http://dx.doi.org/10.1155/2021/9967368.

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Nowadays, data are generated in the world with high speed; therefore, recognizing features and dimensions reduction of data without losing useful information is of high importance. There are many ways to dimension reduction, including principal component analysis (PCA) method, which is by identifying effective dimensions in an acceptable level, reducing dimension of data. In the usual method of principal component analysis, data are usually normal, or we normalize data; then, the principal component analysis method is used. Many studies have been done on the principal component analysis method

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18

Uçkan Çakır, Merve, and Şenol Çavuş. "Are religious orientations effective on eating motivation?" Journal of Multidisciplinary Academic Tourism 10, no. 1 (2025): 49–63. https://doi.org/10.31822/jomat.2025-10-1-49.

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The phenomenon of food consumption has evolved over time, influenced by social interactions, leading to diverse nutritional practices based on beliefs, politics, culture, and economic foundations. This research aims to determine eating motivations and reveal the effects of religious orientations on these motivations. The convenience sampling method, a non-probability sampling method among quantitative research sampling methods, was used in the study. Van province was chosen as the population of the research, and individuals living in the central districts of Van province (İpekyolu and Tuşba),

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19

Jana, Sudip, and S. Nandi. "New physics scale from Higgs observables with effective dimension-6 operators." Physics Letters B 783 (August 2018): 51–58. http://dx.doi.org/10.1016/j.physletb.2018.06.038.

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20

ILTAN, E. O. "ANNIHILATION CROSS SECTIONS AND INTERACTION COUPLINGS OF THE DARK MATTER CANDIDATES IN THE WARPED AND FLAT EXTRA DIMENSIONS." Modern Physics Letters A 25, no. 14 (2010): 1187–97. http://dx.doi.org/10.1142/s0217732310032421.

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We consider a scenario with an additional scalar standard model singlet ϕS, living in a single extra dimension of the RS1 background. The zero mode of this scalar which is localized in the extra dimension is a dark matter candidate and the annihilation cross section is strongly sensitive to its localization parameter. As a second scenario, we assume that the standard model Higgs field is accessible to the fifth flat extra dimension. At first we take the additional standard model singlet scalar field as accessible to the sixth extra dimension and its zero mode is a possible dark matter candidat

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21

Silva, Marcos Eugênio da, and Thierry Barbe. "Quasi-Monte Carlo in finance: extending for problems of high effective dimension." Economia Aplicada 9, no. 4 (2005): 577–94. http://dx.doi.org/10.1590/s1413-80502005000400004.

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22

Cea, Paolo, and Luigi Tedesco. "Generalized Gaussian Effective Potential: Second-Order Thermal Corrections." Modern Physics Letters A 12, no. 15 (1997): 1077–85. http://dx.doi.org/10.1142/s0217732397001096.

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We discuss the finite temperature generalized Gaussian effective potential. We put out a very simple relation between the thermal corrections to the generalized Gaussian effective potential and those of the effective potential. We evaluate explicitly the second-order thermal corrections in the case of the self-interacting scalar field in one spatial dimension.

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23

Mikaeili, Alireza, Alireza Ghorbani, Vahid Babaei Agha Maleki – Poyan Ali, Abbas Zadeh, and Mahmood Omrani. "Examining Effect of Organizational Structure Dimensions on the Knowledge management (Case Study: Payame Noor Universities of Semnan Province)." Environment Conservation Journal 16, SE (2015): 347–55. http://dx.doi.org/10.36953/ecj.2015.se1640.

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Transferring and understanding high volume of information and knowledge in organizations are affective internal and external factors. One of the effective internal factors on the knowledge management in organizational activities are divided, organized and coordinated. Organizations have created structures to coordinate factors of doing task and to control acts of members. In this research, structural Equation Method (SEM) is used for examining whether organizational structure dimensions have positive effect on knowledge management in Payame Noor organization in Lorestan province or not. Result

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24

ZANCHIN, Veridiana Andrade, Alexandre de Freitas CARNEIRO, and Alexandre Leonardo Simões PIANCENTINI. "DIMENSIONS OF SUSTAINABILITY IN THE BUDGETS OF THE CITIES IN RONDÔNIA WITH THE HIGHEST FIRJAN INDEX OF MUNICIPAL DEVELOPMENT." Boletim de Conjuntura (BOCA) 13, no. 39 (2023): 344–70. https://doi.org/10.5281/zenodo.7749598.

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This article, based on the theme Dimensions of Sustainability in the Budgets of the cities in Rondônia with the Highest Firjan Index of Municipal Development, aims to analyze the budget execution of the cities in the State of Rondônia, identifying in the budgets the amounts of expenses paid and the total of the relative functions to the dimensions of sustainability. Documentary research related to 2021 on the Finbra website and in the Firjan system was carried out, and, with the collected data, tables were structured for a better visualization of these data. There were high percent

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Fox, Shaul, Aharon Bizman, and Anat Garti. "Is Distributional Appraisal More Effective than the Traditional Performance Appraisal Method?" European Journal of Psychological Assessment 21, no. 3 (2005): 165–72. http://dx.doi.org/10.1027/1015-5759.21.3.165.

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Abstract. This study compared the distributional appraisal method (DAM) with the traditional appraisal method (TAM) on seven criteria reflecting appraisal effectiveness: Four interrater agreement measures, calculated by Cronbach's formulas, and three measures of differentiation: Ratee and dimension differentiation, and leniency. The study took place in a software company, where 45 participants, working in teams, rated all their team members on eight dimensions, both by DAM and TAM. DAM mean scores exhibited stronger agreement than TAM scores on two Cronbach's interrater agreement measures - st

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Soltani, Nahid, Parivash Jafari, Mehdi Bagheri, and Nader Gholi Ghorchian. "A Model of Satisfaction Promotion for Students of Hormozgan University of Medical Sciences in Iran." Hormozgan Medical Journal 26, no. 1 (2022): 42–49. http://dx.doi.org/10.34172/hmj.2022.08.

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Background: Universities of medical sciences, as organizations that ensure the progress of society in the fields of health, treatment, and medical education, have been considered in many ways. The first important goal in these universities is student satisfaction and promotion strategies. Therefore, in this study we presented a model of satisfaction promotion among the students of Hormozgan University of Medical Sciences, Iran. Methods: The population of this applied quantitative research included students of Hormozgan University of Medical Sciences. A total of 380 people were selected by mult

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OSAKA, MOTOHISA, and NOBUYASU ITO. "LOCAL BOX-COUNTING TO DETERMINE FRACTAL DIMENSION OF HIGH-ORDER CHAOS." International Journal of Modern Physics C 11, no. 08 (2000): 1519–26. http://dx.doi.org/10.1142/s0129183100001474.

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To determine the attractor dimension of chaotic dynamics, the box-counting method has the difficulty in getting accurate estimates because the boxes are not weighted by their relative probabilities. We present a new method to minimize this difficulty. The local box-counting method can be quite effective in determining the attractor dimension of high-order chaos as well as low-order chaos.

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Tolley, Andrew J., Clifford P. Burgess, Doug Hoover, and Yashar Aghababaie. "Bulk singularities and the effective cosmological constant for higher co-dimension branes." Journal of High Energy Physics 2006, no. 03 (2006): 091. http://dx.doi.org/10.1088/1126-6708/2006/03/091.

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González-Laguna, María Victoria, Raquel Fidalgo, Paula López, and Gert Rijlaarsdam. "A Review of Effective Technology-Based Writing Interventions: A Componential Analysis." Sustainability 16, no. 9 (2024): 3703. http://dx.doi.org/10.3390/su16093703.

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Previous studies have shown the effectiveness of ICT-based writing instructional practices, but they do not show an in-depth analysis of their instructional elements, which could be key to explaining such effectiveness. This study aims to analyze the instructional design of effective ICT-based writing practices according to content and instructional dimensions. An empirical review was performed following the PRISMA statement guidelines with a sample of 22 studies. For the content dimension, learning objectives were coded in terms of target focus, subject-specific knowledge, and learning outcom

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Jiang, Chung-Li. "Effective recursive algorithm for judging the positive-definiteness of matrices of high dimension." International Journal of Control 47, no. 2 (1988): 657–60. http://dx.doi.org/10.1080/00207178808906040.

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Amit, S. N. K., S. Saito, S. Sasaki, Y. Kiyoki, and Y. Aoki. "SEMANTIC SEGMENTATION AND DIFFERENCE EXTRACTION VIA TIME SERIES AERIAL VIDEO CAMERA AND ITS APPLICATION." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XL-7/W3 (April 30, 2015): 1119–22. http://dx.doi.org/10.5194/isprsarchives-xl-7-w3-1119-2015.

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Google earth with high-resolution imagery basically takes months to process new images before online updates. It is a time consuming and slow process especially for post-disaster application. The objective of this research is to develop a fast and effective method of updating maps by detecting local differences occurred over different time series; where only region with differences will be updated. In our system, aerial images from Massachusetts’s road and building open datasets, Saitama district datasets are used as input images. Semantic segmentation is then applied to input images. Semantic

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Tsai, Pei-Hsuan, Chih-Jou Chen, and Jia-Wei Tang. "Key Factors Influencing Talent Retention and Turnover in Convenience Stores: A Comparison of Managers’ and Employees’ Perspectives." SAGE Open 11, no. 4 (2021): 215824402110672. http://dx.doi.org/10.1177/21582440211067240.

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This study identifies the main factors influencing turnover among convenience store employees from a managerial perspective and infers the changes necessary to reduce such high turnover rates. Employing the decision-making trial and evaluation laboratory (DEMATEL) methodology, it investigates the degree of mutual influence between evaluation indicators and constructs a network relation map for evaluation dimensions and criteria. This study also uses the DEMATEL-based analytic network process method to compute the influential weights of each dimension and criteria. According to the empirical re

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Wang, Junpeng, Xiaotong Liu, and Han-Wei Shen. "High-dimensional data analysis with subspace comparison using matrix visualization." Information Visualization 18, no. 1 (2017): 94–109. http://dx.doi.org/10.1177/1473871617733996.

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Due to the intricate relationship between different dimensions of high-dimensional data, subspace analysis is often conducted to decompose dimensions and give prominence to certain subsets of dimensions, i.e. subspaces. Exploring and comparing subspaces are important to reveal the underlying features of subspaces, as well as to portray the characteristics of individual dimensions. To date, most of the existing high-dimensional data exploration and analysis approaches rely on dimensionality reduction algorithms (e.g. principal component analysis and multi-dimensional scaling) to project high-di

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Wang, Hu. "Clustering statistical method of high dimensional sparse data based on fuzzy data." Journal of Physics: Conference Series 2791, no. 1 (2024): 012060. http://dx.doi.org/10.1088/1742-6596/2791/1/012060.

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Abstract Developing effective clustering and statistical methods for high-dimensional sparse data presents unique challenges compared to traditional low-dimensional data. To address this, a novel approach is proposed, leveraging fuzzy data principles to enhance the clustering and statistical performance of high-dimensional sparse datasets. The method builds upon the fuzzy C-means clustering algorithm, introducing key modifications for better suitability to high-dimensional sparse data. One crucial enhancement involves tackling the local optimization problem by optimizing the initial clustering

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Tan, Yunliang, Dongmei Huang, and Ze Zhang. "Rock Mechanical Property Influenced by Inhomogeneity." Advances in Materials Science and Engineering 2012 (2012): 1–9. http://dx.doi.org/10.1155/2012/418729.

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In order to identify the microstructure inhomogeneity influence on rock mechanical property, SEM scanning test and fractal dimension estimation were adopted. The investigations showed that the self-similarity of rock microstructure markedly changes with the scanned microscale. Different rocks behave in different fractal dimension variation patterns with the scanned magnification, so it is conditional to adopt fractal dimension to describe rock material. Grey diabase and black diabase have high suitability; red sandstone has low suitability. The suitability of fractal-dimension-describing metho

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Shokri, Alireza Rangriz, Tayfun Babadagli, and Alireza Jafari. "A Critical Analysis of the Relationship Between Statistical- and Fractal-Fracture-Network Characteristics and Effective Fracture-Network Permeability." SPE Reservoir Evaluation & Engineering 19, no. 03 (2016): 494–510. http://dx.doi.org/10.2118/181743-pa.

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Summary Estimation of effective fracture-network permeability (EFNP) is an essential part of modeling transport processes in naturally fractured reservoirs. A practical way of doing this is to use correlations that consider the statistical and physical characteristics of the networks. Thus, selection of the proper parameters to be characterized and/or measured that are highly correlative to the network permeability is critical. In this study, we analyzed fractal-based correlations previously developed by Jafari and Babadagli (2011a, 2011b) to clarify the physical relationship among network pro

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DAVIS, SIMON. "BOUNDARY EFFECTS IN STRING THEORY AND THE EFFECTIVE STRING COUPLING." Modern Physics Letters A 23, no. 23 (2008): 1921–27. http://dx.doi.org/10.1142/s0217732308027266.

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The effect of the ideal boundaries of infinite-genus surfaces and Dirichlet boundaries on the value of the string coupling is evaluated. It is demonstrated that the value coincides with the unified gauge coupling and it is not altered by the inclusion of curved four-dimensional spacetimes in the path integral for quantum gravity or boundaries with fractional dimension and nonzero harmonic measure.

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Chakrabortty, Joydeep, Shakeel Ur Rahaman, and Kaanapuli Ramkumar. "One-loop effective action up to dimension eight: Integrating out heavy fermion(s)." Nuclear Physics B 1000 (March 2024): 116488. http://dx.doi.org/10.1016/j.nuclphysb.2024.116488.

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KAR, SUPRIYA K., S. PRATIK KHASTGIR, and ALOK KUMAR. "AN ALGORITHM TO GENERATE CLASSICAL SOLUTIONS OF STRING EFFECTIVE ACTION." Modern Physics Letters A 07, no. 17 (1992): 1545–51. http://dx.doi.org/10.1142/s021773239200121x.

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It is shown explicitly that a number of solutions for the background field equations of the string effective action in space-time dimension D can be generated from any known lower dimensional solution when background fields have only time dependence. An application of the result to the two-dimensional charged black hole is presented. The case of background with more general coordinate dependence is also discussed.

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Desnawati, Fera, Amali Putra, Gusnedi, and Hidayati. "CONSEPTUAL MODEL APPLICATION OF KNOWLEDGE DIMENSION COMPLEXITY AND COGNITIVE PROCESS LEVEL IN STATIC FLUID MATERIALS IN HIGH SCHOOL PHYSICS LEARNING." PILLAR OF PHYSICS EDUCATION 15, no. 2 (2022): 161. http://dx.doi.org/10.24036/12127171074.

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The 2013 curriculum requires the implementation of learning activities by referring to the Bloom classification revised by Anderson and Krathwohl (2001), which combines knowledge dimensions and cognitive process levels. However, the complexity of the knowledge dimension and the realization of the cognitive processing level in static fluid materials have not been optimally realized. This research aims to establish a conceptual model of the complexity of the knowledge dimension and cognitive process level of static fluid materials in high school physics learning. The type of research is R&D

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Bern, Zvi, Julio Parra-Martinez, and Eric Sawyer. "Structure of two-loop SMEFT anomalous dimensions via on-shell methods." Journal of High Energy Physics 2020, no. 10 (2020). http://dx.doi.org/10.1007/jhep10(2020)211.

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Abstract We describe on-shell methods for computing one- and two-loop anomalous dimensions in the context of effective field theories containing higher-dimension operators. We also summarize methods for computing one-loop amplitudes, which are used as inputs to the computation of two-loop anomalous dimensions, and we explain how the structure of rational terms and judicious renormalization scheme choices can lead to additional vanishing terms in the anomalous dimension matrix at two loops. We describe the two-loop implications for the Standard Model Effective Field Theory (SMEFT). As a by-prod

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Catani, Stefano, Daniel de Florian, Simone Devoto, Massimiliano Grazzini, and Javier Mazzitelli. "Soft-gluon effective coupling: perturbative results and the large-nF limit to all orders." Journal of High Energy Physics 2023, no. 11 (2023). http://dx.doi.org/10.1007/jhep11(2023)217.

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Abstract We consider extensions of the soft-gluon effective coupling that generalize the Catani-Marchesini-Webber (CMW) coupling in the context of soft-gluon resummation beyond the next-to-leading logarithmic accuracy. Starting from the probability density of correlated soft emission in d dimensions we introduce a class of soft couplings relevant for resummed QCD calculations of hard-scattering observables. We show that at the conformal point, where the d-dimensional QCD β function vanishes, all these effective couplings are equal and they are also equal to the cusp anomalous dimension. We pre

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Huang, Xiaoyang, and Andrew Lucas. "Hydrodynamic effective field theories with discrete rotational symmetry." Journal of High Energy Physics 2022, no. 3 (2022). http://dx.doi.org/10.1007/jhep03(2022)082.

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Abstract We develop a hydrodynamic effective field theory on the Schwinger-Keldysh contour for fluids with charge, energy, and momentum conservation, but only discrete rotational symmetry. The consequences of anisotropy on thermodynamics and first-order dissipative hydrodynamics are detailed in some simple examples in two spatial dimensions, but our construction extends to any spatial dimension and any rotation group (discrete or continuous). We find many possible terms in the equations of motion which are compatible with the existence of an entropy current, but not with the ability to couple

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Miró, Joan Elias, James Ingoldby, and Marc Riembau. "EFT anomalous dimensions from the S-matrix." Journal of High Energy Physics 2020, no. 9 (2020). http://dx.doi.org/10.1007/jhep09(2020)163.

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Abstract We use the on-shell S-matrix and form factors to compute anomalous dimensions of higher dimension operators in the Standard Model Effective Field Theory. We find that in many instances, these computations are made simple by using the on-shell method. We first compute contributions to anomalous dimensions of operators at dimension-six that arise at one-loop. Then we calculate two-loop anomalous dimensions for which the corresponding one-loop contribution is absent, using this powerful method.

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Qian, Hong, and Yang Yu. "Solving High-Dimensional Multi-Objective Optimization Problems with Low Effective Dimensions." Proceedings of the AAAI Conference on Artificial Intelligence 31, no. 1 (2017). http://dx.doi.org/10.1609/aaai.v31i1.10664.

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Multi-objective (MO) optimization problems require simultaneously optimizing two or more objective functions. An MO algorithm needs to find solutions that reach different optimal balances of the objective functions, i.e., optimal Pareto front, therefore, high dimensionality of the solution space can hurt MO optimization much severer than single-objective optimization, which was little addressed in previous studies. This paper proposes a general, theoretically-grounded yet simple approach ReMO, which can scale current derivative-free MO algorithms to the high-dimensional non-convex MO functions

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Matsumoto, Minoru, and Yu Nakayama. "Dilaton invading from infinitesimal extra dimension." Modern Physics Letters A, May 25, 2022. http://dx.doi.org/10.1142/s0217732322500808.

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We show that the Wess–Zumino action for the spontaneously broken Weyl (or conformal) symmetry, a.k.a dilaton effective action, in even [Formula: see text] dimensions can be obtained from the Kaluza–Klein dimensional reduction of the Lovelock action in [Formula: see text] dimensions by taking the [Formula: see text] limit, where the dilaton is identified with the metric in the extra dimension. The construction gives an explicit form of the dilaton effective action in any even dimensions.

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47

Murphy, Christopher W. "Low-Energy Effective Field Theory below the Electroweak Scale: dimension-8 operators." Journal of High Energy Physics 2021, no. 4 (2021). http://dx.doi.org/10.1007/jhep04(2021)101.

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Abstract We construct a complete basis of dimension-8 operators in the Low-Energy Effective Field Theory below the Electroweak Scale (LEFT). We find there are 35058 dimension-8 operators in the LEFT for two generations of up-type quarks and three generations of down-type quarks, charged leptons, and left-handed neutrinos. The existence of this operator basis is a necessary prerequisite for matching to the Standard Model Effective Field Theory at the dimension-8 level.

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Trott, Timothy. "Causality, unitarity and symmetry in effective field theory." Journal of High Energy Physics 2021, no. 7 (2021). http://dx.doi.org/10.1007/jhep07(2021)143.

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Abstract Sum rules in effective field theories, predicated upon causality, place restrictions on scattering amplitudes mediated by effective contact interactions. Through unitarity of the S-matrix, these imply that the size of higher dimensional corrections to transition amplitudes between different states is bounded by the strength of their contributions to elastic forward scattering processes. This places fundamental limits on the extent to which hypothetical symmetries can be broken by effective interactions. All analysis is for dimension 8 operators in the forward limit. Included is a thor

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Murphy, Christopher W. "Dimension-8 operators in the Standard Model Effective Field Theory." Journal of High Energy Physics 2020, no. 10 (2020). http://dx.doi.org/10.1007/jhep10(2020)174.

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Abstract We present a complete basis of dimension-8 operators in the Standard Model Effective Field Theory. Attention is paid to operators that vanish in the absence of flavor structure. The 44,807 operators are encoded in 1,031 Lagrangian terms. We also briefly discuss a few aspects of phenomenology involving dimension-8 operators, including light-by-light scattering and electroweak precision data.

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50

Li, Hao-Lin, Zhe Ren, Ming-Lei Xiao, Jiang-Hao Yu, and Yu-Hui Zheng. "Low energy effective field theory operator basis at d ≤ 9." Journal of High Energy Physics 2021, no. 6 (2021). http://dx.doi.org/10.1007/jhep06(2021)138.

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Abstract We obtain the complete operator bases at mass dimensions 5, 6, 7, 8, 9 for the low energy effective field theory (LEFT), which parametrize various physics effects between the QCD scale and the electroweak scale. The independence of the operator basis regarding the equation of motion, integration by parts and flavor relations, is guaranteed by our algorithm [1, 2], whose validity for the LEFT with massive fermions involved is proved by a generalization of the amplitude-operator correspondence. At dimension 8 and 9, we list the 35058 (756) and 704584 (3686) operators for three (one) gen

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