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Journal articles on the topic 'Terms of measure'

Author: Grafiati

Published: 28 May 2022

Last updated: 18 July 2025

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1

Oh, Sejong. "Feature Interaction in Terms of Prediction Performance." Applied Sciences 9, no. 23 (2019): 5191. http://dx.doi.org/10.3390/app9235191.

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There has been considerable development in machine learning in recent years with some remarkable successes. Although there are many high-performance methods, the interpretation of learning models remains challenging. Understanding the underlying theory behind the specific prediction of various models is difficult. Various studies have attempted to explain the working principle behind learning models using techniques like feature importance, partial dependency, feature interaction, and the Shapley value. This study introduces a new feature interaction measure. While recent studies have measured feature interaction using partial dependency, this study redefines feature interaction in terms of prediction performance. The proposed measure is easy to interpret, faster than partial dependency-based measures, and useful to explain feature interaction, which affects prediction performance in both regression and classification models.

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Jain, K. C., and Praphull Chhabra. "Bounds on Nonsymmetric Divergence Measure in terms of Other Symmetric and Nonsymmetric Divergence Measures." International Scholarly Research Notices 2014 (October 29, 2014): 1–9. http://dx.doi.org/10.1155/2014/820375.

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Vajda (1972) studied a generalized divergence measure of Csiszar’s class, so called “Chi-m divergence measure.” Variational distance and Chi-square divergence are the special cases of this generalized divergence measure at m=1 and m=2, respectively. In this work, nonparametric nonsymmetric measure of divergence, a particular part of Vajda generalized divergence at m=4, is taken and characterized. Its bounds are studied in terms of some well-known symmetric and nonsymmetric divergence measures of Csiszar’s class by using well-known information inequalities. Comparison of this divergence with others is done. Numerical illustrations (verification) regarding bounds of this divergence are presented as well.

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Mohammad Al-Harahsheh, Ahmad. "Measure Terms in Rural Jordanian Spoken Arabic." International Journal of Arabic-English Studies 15, no. 1 (2014): 121–34. http://dx.doi.org/10.33806/ijaes2000.15.1.8.

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The use of measure terms can be socially and culturally determined, as every speech society may have its own unique measure terms. This study aims to shed light on the sociolinguistic usage of measure terms in Jordanian Spoken Arabic (JSA). The researcher collected the data from everyday conversations in the rural dialect of the north of Jordan. The participants of the study were 15 men and women who were in their fifties and sixties. The ethnography of communication and Interactional Sociolinguistic (IS) approaches are adopted as the theoretical framework for this study. The study concluded that measure terms in JSA are culturally and socially inherited and transmitted, and Jordanians tend to use body parts (i.e. finger, hand, foot and leg related expressions) as measure terms for heights, lengths and weights..

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Mahatab, Kamalakshya, and Anirban Mukhopadhyay. "Measure-theoretic aspects of oscillations of error terms." Acta Arithmetica 187, no. 3 (2019): 201–17. http://dx.doi.org/10.4064/aa170126-23-4.

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Andrievskii, Vladimir V., and Stephan Ruscheweyh. "Remez-Type Inequalities in Terms of Linear Measure." Computational Methods and Function Theory 5, no. 2 (2006): 347–63. http://dx.doi.org/10.1007/bf03321102.

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RIABOV, G. V. "ON FINITE ABSOLUTE CONTINUITY OF MEASURES RELATED TO WIENER MEASURE." Infinite Dimensional Analysis, Quantum Probability and Related Topics 12, no. 02 (2009): 341–52. http://dx.doi.org/10.1142/s0219025709003689.

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In this paper we study finite absolute continuity with respect to Wiener measure. A general condition of finite absolute continuity in terms of disintegration of measures is given. Finite absolute continuity of Itô processes and conditional distributions of the Wiener process is studied.

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7

Bachman, George, and P. D. Stratigos. "On measure repleteness and support for lattice regular measures." International Journal of Mathematics and Mathematical Sciences 10, no. 4 (1987): 707–24. http://dx.doi.org/10.1155/s0161171287000814.

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The present paper is mainly concerned with establishing conditions which .assure that all lattice regular measures have additional smoothness properties or that simply all two-valued such measures have such properties and are therefore Dirac measures. These conditions are expressed in terms of the general Wallman space. The general results are then applied to specific topological lattices, yielding new conditions for measure compactness, Borel measure compactness, clopen measure repleteness, strong measure compactness, etc. In addition, smoothness properties in the general setting for lattice regular measures are related to the notion of support, and numerous applications are given.

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Naeem, Muhammad, Saira Gillani, Muhammad Abdul Qadir, and Sohail Asghar. "gSemSim: Semantic Similarity Measure for Intra Gene Ontology Terms." International Journal of Information Technology and Computer Science 5, no. 6 (2013): 32–40. http://dx.doi.org/10.5815/ijitcs.2013.06.05.

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COATES, RICHARD. "TWO MEASURE-TERMS IN GAELIC AND EARLY MODERN SCOTS." Notes and Queries 36, no. 1 (1989): 27–28. http://dx.doi.org/10.1093/nq/36-1-27.

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10

Di Castro, Agnese, and Giampiero Palatucci. "Measure data problems, lower-order terms and interpolation effects." Annali di Matematica Pura ed Applicata 193, no. 2 (2012): 325–58. http://dx.doi.org/10.1007/s10231-012-0277-7.

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11

Corbett, Greville G., and Ian R. L. Davies. "Linguistic and Behavioural Measures for Ranking Basic Colour Terms." Studies in Language 19, no. 2 (1995): 301–57. http://dx.doi.org/10.1075/sl.19.2.02cor.

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We report an attempt to find more objective measures for identifying basic colour terms. We investigate the types of measure available, both linguistic and behavioural, and the statistical techniques for establishing the closeness of fit with the predictions derived from Berlin and Kay. This leads to an investigation of the interrelation between the measures; having examined consistency across investigators and across languages we establish that certain measures give considerably better results than others. While the indicators point in the same direction, supporting Berlin and Kay to varying degrees, different measures serve different functions.

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12

Monahan, A. H., and T. DelSole. "Information theoretic measures of dependence, compactness, and non-gaussianity for multivariate probability distributions." Nonlinear Processes in Geophysics 16, no. 1 (2009): 57–64. http://dx.doi.org/10.5194/npg-16-57-2009.

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Abstract. A basic task of exploratory data analysis is the characterisation of "structure" in multivariate datasets. For bivariate Gaussian distributions, natural measures of dependence (the predictive relationship between individual variables) and compactness (the degree of concentration of the probability density function (pdf) around a low-dimensional axis) are respectively provided by ordinary least-squares regression and Principal Component Analysis. This study considers general measures of structure for non-Gaussian distributions and demonstrates that these can be defined in terms of the information theoretic "distance" (as measured by relative entropy) between the given pdf and an appropriate "unstructured" pdf. The measure of dependence, mutual information, is well-known; it is shown that this is not a useful measure of compactness because it is not invariant under an orthogonal rotation of the variables. An appropriate rotationally invariant compactness measure is defined and shown to reduce to the equivalent PCA measure for bivariate Gaussian distributions. This compactness measure is shown to be naturally related to a standard information theoretic measure of non-Gaussianity. Finally, straightforward geometric interpretations of each of these measures in terms of "effective volume" of the pdf are presented.

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Chen, Yanting, Richard J. Boucherie, and Jasper Goseling. "THE INVARIANT MEASURE OF RANDOM WALKS IN THE QUARTER-PLANE: REPRESENTATION IN GEOMETRIC TERMS." Probability in the Engineering and Informational Sciences 29, no. 2 (2015): 233–51. http://dx.doi.org/10.1017/s026996481400031x.

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We consider the invariant measure of homogeneous random walks in the quarter-plane. In particular, we consider measures that can be expressed as a finite linear combination of geometric terms and present conditions on the structure of these linear combinations such that the resulting measure may yield an invariant measure of a random walk. We demonstrate that each geometric term must individually satisfy the balance equations in the interior of the state space and further show that the geometric terms in an invariant measure must have a pairwise-coupled structure. Finally, we show that at least one of the coefficients in the linear combination must be negative.

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Egan, Patrick. "Expansivity of Fused Quartz Glass Measured with 6 x 10-10/K." NCSLI Measure 15, no. 1 (2023): 43–55. http://dx.doi.org/10.51843/measure.15.1.5.

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Thermal expansion sometimes dominates uncertainty in a precision measurement. A cell-based refractometer has been designed at NIST which targets 10−6 relative uncertainty in the measurement of helium refractivity; in terms of absolute refractive index at ambient conditions, the accuracy goal is 3 × 10−11. To achieve this level of accuracy, the length of a 0.5 m gas cell would need to be known within 100 nm. This is achievable when cell length is measured by coordinate-measuring machine at 20 °C. However, the refractometer will operate at the thermodynamically known fixed-points of water and gallium, near 0 °C and 30 °C, respectively. The cell is made from fused quartz glass, which has a nominal thermal expansion coefficient of 0.4 (μm/m)/K. Therefore, to scale the accuracy of the dimensional metrology across 20 °C to the triple-point of water requires that the thermal expansion coefficient of fused quartz glass is known within 10 (nm/m)/K, or 2.5 %. A method is described to measure the thermal expansion coefficient of fused quartz glass. The measurement principle is to monitor the change in resonance frequency of a Fabry–Perot cavity as its temperature changes; the Fabry–Perot cavity is made from fused quartz glass. The standard uncertainty in the measurement was less than 0.6 (nm/m)/K, or 0.15 %. The limit on performance is arguably uncertainty in the reflection phase-shift temperature dependence, because neither thermooptic nor thermal expansion coefficients of thinfilm coatings are reliably known. However, several other uncertainty contributors are at the same level of magnitude, and so any improvement in performance would entail significant effort. Furthermore, measurements of three different samples revealed that material inhomogeneity leads to differences in the effective thermal expansion coefficient of fused quartz; inhomogeneity in thermal expansion among samples is 24 times larger than the measurement uncertainty in a single sample.

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15

.Kulkarni, Anita R. "An automatic Text Summarization using feature terms for relevance measure." IOSR Journal of Computer Engineering 9, no. 3 (2013): 62–66. http://dx.doi.org/10.9790/0661-0936266.

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16

Hisamitsu, Toru, Yoshiki Niwa, Shingo Nishioka, et al. "Extracting terms by a combination of term frequency and a measure of term representativeness." Terminology 6, no. 2 (2000): 211–32. http://dx.doi.org/10.1075/term.6.2.06his.

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This article describes a method for extracting terms that combines term frequency with a novel measure of term representativeness (i.e., informativeness or domain specificity). The measure is defined as the normalized distance between the word distribution in the documents which contain the term and the word distribution in the whole corpus. The measure is particularly effective in discarding uninformative terms that frequently appear and has a well-defined threshold value for judging the representativeness of a term. We combined the new measure with term frequency and applied it to the extraction of terms from abstracts of artificial intelligence papers. This article introduces the measure and reports on its effectiveness in term extraction.

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17

Shi, Xian, Lin Chen, and Yixuan Liang. "Quantifying the entanglement of quantum states under the geometric method." Physica Scripta 98, no. 1 (2022): 015103. http://dx.doi.org/10.1088/1402-4896/aca56e.

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Abstract Quantifying entanglement is an important issue in quantum information theory. Here we consider the entanglement measures through the trace norm in terms of two methods, the modified measure and the extended measure for bipartite states. We present the analytical formula for the pure states in terms of the modified measure and the mixed states of two-qubit systems for the extended measure. We also generalize the modified measure from bipartite states to tripartite states.

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18

Kvålseth, Tarald O. "Another Generalized Measure of Information." Perceptual and Motor Skills 85, no. 2 (1997): 464–66. http://dx.doi.org/10.2466/pms.1997.85.2.464.

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A generalization of Shannon's entropy is proposed as a measure of information (or uncertainty). Various other information measures are particular cases of this generalized measure, or family of measures. Two information measures are especially interesting since they have convenient and meaningful interpretations in probabilistic terms.

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19

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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20

Strungaru, Nicolae. "On the Fourier Transformability of Strongly Almost Periodic Measures." Canadian Journal of Mathematics 72, no. 4 (2019): 900–927. http://dx.doi.org/10.4153/s0008414x19000075.

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AbstractIn this paper we characterize the Fourier transformability of strongly almost periodic measures in terms of an integrability condition for their Fourier–Bohr series. We also provide a necessary and sufficient condition for a strongly almost periodic measure to be the Fourier transform of a measure. We discuss the Fourier transformability of a measure on $\mathbb{R}^{d}$ in terms of its Fourier transform as a tempered distribution. We conclude by looking at a large class of such measures coming from the cut and project formalism.

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21

Bhatia, P. K., and Surender Singh. "On a New Csiszar’s f-Divergence Measure." Cybernetics and Information Technologies 13, no. 2 (2013): 43–57. http://dx.doi.org/10.2478/cait-2013-0013.

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Abstract A new parametric probabilistic measure of information and a corresponding symmetric divergence (distance) measure is proposed. The information measure is useful to study the uncertainty and the corresponding divergence measure is useful for comparing two probability distributions. The proposed parametric divergence measure belongs to the family of Csiszar’s f-divergence measures. The bounds of this divergence measures are obtained in terms of some well known divergence measures. Some properties of the proposed information and divergence measures are studied.

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22

Deepa, G., B. Praba, A. Manimaran, V. M. Chandrasekaran, and K. Rajakumar. "Medical diagnosis using intuitionistic fuzzy set in terms shortest distance measure." Research Journal of Pharmacy and Technology 11, no. 3 (2018): 949. http://dx.doi.org/10.5958/0974-360x.2018.00176.2.

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23

Kochetkova, N. A. "A method for extracting technical terms using the modified weirdness measure." Automatic Documentation and Mathematical Linguistics 49, no. 3 (2015): 89–95. http://dx.doi.org/10.3103/s0005105515030036.

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24

Ohnmar Htun, Shigeaki Kodama, and Yoshiki Mikami. "Cross-language Phonetic Similarity Measure on Terms Appeared in Asian Languages." International Journal of Intelligent Information Processing 2, no. 2 (2011): 9–21. http://dx.doi.org/10.4156/ijiip.vol2.issue2.2.

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25

Park, Sangun. "Information Measure in Terms of the Hazard Function and Its Estimate." Entropy 23, no. 3 (2021): 298. http://dx.doi.org/10.3390/e23030298.

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It is well-known that some information measures, including Fisher information and entropy, can be represented in terms of the hazard function. In this paper, we provide the representations of more information measures, including quantal Fisher information and quantal Kullback-leibler information, in terms of the hazard function and reverse hazard function. We provide some estimators of the quantal KL information, which include the Anderson-Darling test statistic, and compare their performances.

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YASUDA, Keiichi. "Words Associated with Vulnerability-related Terms, and Maps of Similarity Measure." Journal of Japan Society of Kansei Engineering 19, no. 3 (2021): 118–22. http://dx.doi.org/10.5057/kansei.19.3_118.

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Aulbach, Martin, Damian Markham, and Mio Murao. "The maximally entangled symmetric state in terms of the geometric measure." New Journal of Physics 12, no. 7 (2010): 073025. http://dx.doi.org/10.1088/1367-2630/12/7/073025.

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Peng, Jiajie, Hansheng Xue, Yukai Shao, Xuequn Shang, Yadong Wang, and Jin Chen. "A novel method to measure the semantic similarity of HPO terms." International Journal of Data Mining and Bioinformatics 17, no. 2 (2017): 173. http://dx.doi.org/10.1504/ijdmb.2017.084268.

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Peng, Jiajie, Yadong Wang, Jin Chen, Xuequn Shang, Yukai Shao, and Hansheng Xue. "A novel method to measure the semantic similarity of HPO terms." International Journal of Data Mining and Bioinformatics 17, no. 2 (2017): 173. http://dx.doi.org/10.1504/ijdmb.2017.10005213.

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30

Ly, I. "REMOVABLE SETS FOR THE WAVE EQUATIONS IN TERMS OF HAUSDORFF MEASURE." International Journal of Numerical Methods and Applications 25, no. 1 (2024): 87–101. https://doi.org/10.17654/0975045225004.

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We prove a Radó theorem for the wave equations. Namely, we consider to be a locally Lipschitz continuous function on an open set and weakly solution to the wave equations away from the zero set in . We prove that is a weak solution to these wave equations in all of .

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Song, Xuebo, Lin Li, Pradip K. Srimani, Philip S. Yu, and James Z. Wang. "Measure the Semantic Similarity of GO Terms Using Aggregate Information Content." IEEE/ACM Transactions on Computational Biology and Bioinformatics 11, no. 3 (2014): 468–76. http://dx.doi.org/10.1109/tcbb.2013.176.

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Wang, J. Z., Z. Du, R. Payattakool, P. S. Yu, and C. F. Chen. "A new method to measure the semantic similarity of GO terms." Bioinformatics 23, no. 10 (2007): 1274–81. http://dx.doi.org/10.1093/bioinformatics/btm087.

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Scontras, Gregory. "Accounting for counting: A unified semantics for measure terms and classifiers." Semantics and Linguistic Theory 23 (August 24, 2013): 549. http://dx.doi.org/10.3765/salt.v23i0.2656.

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This paper develops and extends the semantic account of morphological number marking in the presence of numerals from Scontras (2013). The account handles variation in patterns of number marking along two dimensions: cross-linguistically, between languages that either necessitate or prohibit singular morphology in the presence of numerals greater than ‘one’, and within one and the same language: English. The proposed semantics accounts for both sorts of variation by assuming flexibility in the selection of the measure relevant to the one-ness presupposition of the morphological singular form. The system also provides an explanation for the Slobin-Greenberg-Sanches Generalization, which states that no classifier language has obligatory number marking: by aligning the semantics of counting in both number marking and classifier languages, and by assuming that nouns in classifier languages denote kinds, the semantic contribution of number marking is necessarily redundant in classifier languages. A system of obligatory number marking only surfaces in languages where it delivers otherwise unrecoverable information about the number of intended referents.

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WATSON, NEIL A. "CALORIC MEASURE FOR ARBITRARY OPEN SETS." Journal of the Australian Mathematical Society 92, no. 3 (2012): 391–407. http://dx.doi.org/10.1017/s1446788712000389.

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AbstractWe give a systematic treatment of caloric measure for arbitrary open sets. The caloric measure is defined only on the essential boundary of the set. Our main result gives criteria for the resolutivity of essential boundary functions, and their integral representation in terms of caloric measure. We also characterize the caloric measure null sets in terms of the boundary singularities of nonnegative supertemperatures.

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Próchniak, Mariusz, and Magdalena Szyszko. "The similarity of European central banks in terms of transparency and effectiveness." Equilibrium 14, no. 3 (2019): 385–404. http://dx.doi.org/10.24136/eq.2019.018.

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Research background: The previous studies on monetary policy transparency suggest that the dependence between the degree of transparency and monetary policy effectiveness exists. In this examination, we tackle this issue for the most recent sample with the application of novel transparency measure, which is de-signed to cover forward-looking policy approach. Purpose of the article: We aim at evaluating forward-looking transparency of the European central banks and juxtapose it with their effectiveness in achieving monetary policy goals: price stability and output stabilization. The sample covers the central banks of the following countries: Sweden, the UK, Czechia, Hungary, Poland, and Romania. We also search for the patters of similarity in our sample. Methods: We apply a novel, index-based transparency measure to assess central banks’ transparency. We also estimate inflation gap and the output gap. The methods used are based on data and statistical analysis. The comparison of the behaviour of individual central banks is carried out for the variables measuring transparency and inflation and output gaps. The similarity of the performance of individual central banks is assessed with the use of measures of the distance between objects, including our own measure. Findings & Value added: Our results suggest the existence of different degrees of similarity in the sample, but some common tendencies can be found as well. For example, central banks with comparable transparency degree are found more similar. Novelty of the examination is related to our methodology: transparency and similarity measures applied and the most recent time span covered.

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Wang, Yingying, and Zhinan Xia. "Lipschitz Stability in Terms of Two Measures for Kurzweil Equations and Applications." Mathematics 11, no. 9 (2023): 2006. http://dx.doi.org/10.3390/math11092006.

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For generalized ordinary differential equations, sufficient criteria are given for the Lipschitz stability in terms of two measures of the trivial solutions. As an application, we apply our main results by studying the Lipschitz stability for measure differential equations and impulsive differential equations. Compared to the classical ones, the conditions here regarding the functions are more general.

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Halakatti, S. C. P., and Soubhagya Baddi. "On Radon Measure Manifold." Journal of the Tensor Society 11, no. 01 (2007): 13–24. http://dx.doi.org/10.56424/jts.v11i01.10587.

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In this paper the concept of Radon measure manifold is studied in terms of Radon measure charts and Radon measure atlases with some measurable/extended topological properties that remain invariant under measurable homeomorphism and Radon measure structure-invariant map Very Special relativity, Killing vectors, Lorentz violation, Isometric group

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Mokhtari, Samah, Mebarek Djebabra, Djamel Bellaala, and Wafa Boulagouas. "Contribution to the investment evaluation in terms of the forest fires prevention using the cost-benefit analysis method." Management of Environmental Quality: An International Journal 28, no. 5 (2017): 651–63. http://dx.doi.org/10.1108/meq-07-2015-0131.

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Purpose The purpose of this paper is to valorize the contribution of the cost-benefit analysis (CBA) method in the evaluation of the prevention measures of forest fires. Design/methodology/approach The suggested approach is based on the economic analysis of the forest fires’ risks using the CBA which has become inevitable in risk analysis’ domain. Findings The suggested approach shows the interest of the CBA method in the sense that each reduction measure of the forest fires’ risk eliminates the potential damages and, therefore, it is likely to generate benefits for the company in terms of avoided damages on the territory that is concerned by these measures. Practical implications It consists in comparing on time, the benefit generated by a reduction measure of a forest fires’ risk and its implementation cost. This comparison gives an important focus on the economic relevance of such a reduction measure of forest fires’ risk. Originality/value The question is to highlight the importance of both: the investment in terms of forest fires and the allocation of this investment on various preventive measures of forest fires.

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Terblanche, N. S., and C. Boshoff. "The relationship between a satisfactory in-store shopping experience and retailer loyalty." South African Journal of Business Management 37, no. 2 (2006): 33–43. http://dx.doi.org/10.4102/sajbm.v37i2.600.

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In this study consumer satisfaction with the in-store shopping experience is used to predict two measures of retailer loyalty. The first measure is an attitudinal measure of loyalty. The second measure is actual buying behaviour – actual sales recorded in monetary terms and in terms of units bought. The results suggest that a satisfactory in-store shopping experience enhances cumulative or ‘overall’ consumer satisfaction, which in turn enhances both attitudinal loyalty and behavioural loyalty (actual sales).

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Mattera, Raffaele, Fabrizio Di Sciorio, and Juan E. Trinidad-Segovia. "A Composite Index for Measuring Stock Market Inefficiency." Complexity 2022 (January 24, 2022): 1–13. http://dx.doi.org/10.1155/2022/9838850.

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Market inefficiency is a latent concept, and it is difficult to be measured by means of a single indicator. In this paper, following both the adaptive market hypothesis (AMH) and the fractal market hypothesis (FMH), we develop a new time-varying measure of stock market inefficiency. The proposed measure, called composite efficiency index (CEI), is estimated as the synthesis of the most common efficiency measures such as the returns’ autocorrelation, liquidity, volatility, and a new measure based on the Hurst exponent, called the Hurst efficiency index (HEI). To empirically validate the indicator, we compare different European stock markets in terms of efficiency over time.

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Kharazmi, Omid, Faezeh Shirazinia, Francesco Buono, and Maria Longobardi. "Jensen–Inaccuracy Information Measure." Entropy 25, no. 3 (2023): 483. http://dx.doi.org/10.3390/e25030483.

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The purpose of the paper is to introduce the Jensen–inaccuracy measure and examine its properties. Furthermore, some results on the connections between the inaccuracy and Jensen–inaccuracy measures and some other well-known information measures are provided. Moreover, in three different optimization problems, the arithmetic mixture distribution provides optimal information based on the inaccuracy information measure. Finally, two real examples from image processing are studied and some numerical results in terms of the inaccuracy and Jensen–inaccuracy information measures are obtained.

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42

FALCONER, KENNETH, and TONY SAMUEL. "Dixmier traces and coarse multifractal analysis." Ergodic Theory and Dynamical Systems 31, no. 2 (2010): 369–81. http://dx.doi.org/10.1017/s0143385709001102.

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AbstractWe show how multifractal properties of a measure supported by a fractal F⊆[0,1] may be expressed in terms of complementary intervals of F and thus in terms of spectral triples and the Dixmier trace of certain operators. For self-similar measures this leads to a non-commutative integral over F equivalent to integration with respect to an auxiliary multifractal measure.

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Zhang, Jinhong, Asfand Fahad, Muzammil Mukhtar, and Ali Raza. "Characterizing Interconnection Networks in Terms of Complexity via Entropy Measures." Symmetry 15, no. 10 (2023): 1868. http://dx.doi.org/10.3390/sym15101868.

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One of the most recent advancements in graph theory is the use of a multidisciplinary approach to the investigation of specific structural dependent features, such as physico-chemical properties, biological activity and the entropy measure of a graph representing objects like a network or a chemical compound. The ability of entropy measures to determine both the certainty and uncertainty about objects makes them one of the most investigated topics in science along with its multidisciplinary nature. As a result, many formulae, based on vertices, edges and symmetry, for determining the entropy of graphs have been developed and investigated in the field of graph theory. These measures assist in understanding the characteristics of graphs, such as the complexity of the networks or graphs, which may be determined using entropy measures. In this paper, we derive formulae of entropy measures of an extensively studied family of the interconnection networks and classify them in terms of complexity. This is accomplished by utilizing all three tools, including analytical formulae, graphical methods and numerical tables.

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Chakrabartty, Satyendra Nath. "Wellbeing index avoiding scaling and weights." CULTURA EDUCACIÓN Y SOCIEDAD 12, no. 2 (2021): 181–202. http://dx.doi.org/10.17981/cultedusoc.12.2.2021.11.

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Objective: Existing well-being measures differ in terms of number and format of items, factors being measured, aggregation methods, and are not comparable. A well-being measure involves combining n- number of indicators and quality of the measure depends on properties of combining procedures adopted. The paper proposes two assumption-free aggregation methods to satisfy the desired properties of an index Methods: The paper proposes two indices of well-being in terms of cosine similarity and Geometric mean (GM) avoiding problems associated with scaling of raw data and choosing of weights. Empirical illustration is provided on application of the proposed measures. Results: The proposed indices give better admissibility of operations and satisfy properties like time-reversal test, formation of chain indices, computation of group mean and statistical tests for comparison across time and space. The preferred index can be constructed even for skewed longitudinal data and helps to reflect path of improvement registered by a country/region over time. Conclusions: The index based on GM is preferred due to wider application areas. The index can further be used for classification of countries, sub-groups and even individuals with morbidity in terms of overall wellbeing values. Future studies suggested.

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Gosse, Laurent. "Localization effects and measure source terms in numerical schemes for balance laws." Mathematics of Computation 71, no. 238 (2001): 553–83. http://dx.doi.org/10.1090/s0025-5718-01-01354-0.

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Gosse, Laurent. "Time-Splitting Schemes and Measure Source Terms for a Quasilinear Relaxing System." Mathematical Models and Methods in Applied Sciences 13, no. 08 (2003): 1081–101. http://dx.doi.org/10.1142/s0218202503002829.

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Several singular limits are investigated in the context of a 2 × 2 system arising for instance in the modeling of chromatographic processes. In particular, we focus on the case where the relaxation term and a L2 projection operator are concentrated on a discrete lattice by means of Dirac measures. This formulation allows one to study more easily some time-splitting numerical schemes.

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Morales, D., I. J. Taneja, and L. Pardo. "Some statistical inferences regarding population diversity in terms of the hypoentropy measure." Trabajos de Estadistica 6, no. 2 (1991): 55–65. http://dx.doi.org/10.1007/bf02873523.

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Wittmann, René, Matthieu Marechal, and Klaus Mecke. "Fundamental measure theory for smectic phases: Scaling behavior and higher order terms." Journal of Chemical Physics 141, no. 6 (2014): 064103. http://dx.doi.org/10.1063/1.4891326.

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Griffiths-Osborne, Claire. "“The terms for common justice”: Performing and Reforming Confession inMeasure for Measure." Shakespeare 5, no. 1 (2009): 36–51. http://dx.doi.org/10.1080/17450910902764272.

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Mackintosh, N. J., and E. S. Bennett. "What do Raven's Matrices measure? An analysis in terms of sex differences." Intelligence 33, no. 6 (2005): 663–74. http://dx.doi.org/10.1016/j.intell.2005.03.004.

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