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Journal articles on the topic 'Probabilistic transformation'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Ahsanullah, T. M. G., and Gunther Jäger. "Probabilistic convergence transformation groups." Mathematica Slovaca 68, no. 6 (2018): 1447–64. http://dx.doi.org/10.1515/ms-2017-0194.

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Abstract We introduce a notion of a probabilistic convergence transformation group, and present various natural examples including quotient probabilistic convergence transformation group. In doing so, we construct a probabilistic convergence structure on the group of homeomorphisms and look into a probabilistic convergence group that arises from probabilistic uniform convergence structure on function spaces. Given a probabilistic convergence space, and an arbitrary group, we construct a probabilistic convergence transformation group. Introducing a notion of a probabilistic metric convergence t

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Ahsanullah, T. M. G., Fawzi Al-Thukair, and Bhamini Nayar. "On the categories of probabilistic approach groups: Actions." Filomat 37, no. 16 (2023): 5413–26. http://dx.doi.org/10.2298/fil2316413a.

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Starting with the category of probabilistic approach groups, we show that the category of approach groups can be embedded into the category of probabilistic approach groups as a bicoreflective subcategory; further, considering a category of probabilistic topological convergence groups, we show that the category of probabilistic topological convergence groups is isomorphic to the category of probabilistic approach groups under so-called triangle function ?: ?+ ? ?+ ?? ?+, where ?+ is the set of all distance distribution functions that plays a central role for probabilistic metric spaces. Moreov

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Feng, Y., R. Duan, and M. Ying. "Catalyst-Assisted Probabilistic Entanglement Transformation." IEEE Transactions on Information Theory 51, no. 3 (2005): 1090–101. http://dx.doi.org/10.1109/tit.2004.842574.

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TIAN, XIU-LAO, WEI ZHANG, MEI-XIA ZHAO, and XIAO-QIANG XI. "UNITARY TRANSFORMATION IN PROBABILISTIC TELEPORTATION." International Journal of Quantum Information 10, no. 05 (2012): 1250061. http://dx.doi.org/10.1142/s021974991250061x.

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We proposed a general transformation in probabilistic teleportation, which is based on different entanglement matching coefficients K corresponding to different unitary evolution which provides one with more flexible evolution method experimentally. Through analysis based on the Bell basis and generalized Bell basis measurement for two probabilistic teleportation, we suggested a general probability of successful teleportation, which is not only determined by the entanglement degree of transmission channels and measurement methods, but also related to the unitary transformation in the teleporta

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5

Maximova, Maria, Holger Giese, and Christian Krause. "Probabilistic timed graph transformation systems." Journal of Logical and Algebraic Methods in Programming 101 (December 2018): 110–31. http://dx.doi.org/10.1016/j.jlamp.2018.09.003.

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Agoestanto, Arief, St. Budi Waluya, Scolastika Mariani, and Annisa Salma Zakiyyah. "Analysis of Location and Causes Of College Students' Errors In Probabilistic Problem Solving." Kreano, Jurnal Matematika Kreatif-Inovatif 16, no. 1 (2025): 248–59. https://doi.org/10.15294/kreano.v16i1.22111.

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Problem solving is a necessity for college students, including probabilistic problems. However, student errors in solving these problems continue to occur, necessitating an analysis of the location and causes. The goal of this research is to identify the locations and causes of probabilistic problem-solving errors. This is a qualitative research. The study's subjects were nine students from Semarang State University's Mathematics Education Study Program with low Student Academic Ability (SAA). Based on the subject's problem-solving outcomes, the location and sources of errors in solving probab

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Baker, Rose. "Probabilistic Applications of the Schlömilch Transformation." Communications in Statistics - Theory and Methods 37, no. 14 (2008): 2162–76. http://dx.doi.org/10.1080/03610920801892014.

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Wang, Ziqi, Gu Xu, Hang Li, and Ming Zhang. "A Probabilistic Approach to String Transformation." IEEE Transactions on Knowledge and Data Engineering 26, no. 5 (2014): 1063–75. http://dx.doi.org/10.1109/tkde.2013.11.

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Vinothh, V., R. Thaneshwaran, and K. G. S. Venkatesan. "A Probabilistic Approach to String Transformation." COMPUSOFT: An International Journal of Advanced Computer Technology 04, no. 05 (2015): 1818–21. https://doi.org/10.5281/zenodo.14785360.

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The string model has been applied to a wide range of problems, including spelling correction. These models consist of two components: a source model and a channel model. Very little research has gone into improving the channel model for spelling correction. We Describes a new channel model for spelling correction, based on generic string to string edits. Using this model gives significant performance improvements compared to previously proposed models. We propose a novel and probabilistic approach to string transformation, which is both accurate and efficient. In this approach includes the use

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Liu, Xian-Fang, Ya-Qing Bi, and Qiu-Ming Luo. "New Proofs of Someq-Summation andq-Transformation Formulas." Scientific World Journal 2014 (2014): 1–13. http://dx.doi.org/10.1155/2014/940358.

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We obtain an expectation formula and give the probabilistic proofs of some summation and transformation formulas ofq-series based on our expectation formula. Although these formulas in themselves are not the probability results, the proofs given are based on probabilistic concepts.

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Murayama, Takeshi, Yuichi Mine, Hiroshi Fujinaka, and Toru Eguchi. "Assembly Sequence Planning by Probabilistic Tree Transformation." EMITTER International Journal of Engineering Technology 6, no. 2 (2018): 354–68. http://dx.doi.org/10.24003/emitter.v6i2.308.

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Various types of computer systems including CAD/CAM systems have been introduced in machine industry. Some of the systems can handle assembly sequence planning, however it requires long time for planning. This paper proposes a method of generating assembly sequences efficiently. This method extracts some parts and/or subassemblies whose possibilities of being removed from a product are strong, and tests whether they can be removed without any geometric interference. By performing these operations repeatedly, the method generates a disassembly sequence of the product, and obtains an assembly se

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Hu, Lifang, You He, Xin Guan, Deqiang Han, and Yong Deng. "New probabilistic transformation of imprecise belief structure." Journal of Systems Engineering and Electronics 22, no. 5 (2011): 721–29. http://dx.doi.org/10.3969/j.issn.1004-4132.2011.05.001.

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Roa, Luis, M. L. Ladrón de Guevara, C. Jara-Figueroa, and E. González-Céspedes. "Probabilistic entanglement transformation by local overlap modification." Physics Letters A 377, no. 3-4 (2013): 232–37. http://dx.doi.org/10.1016/j.physleta.2012.11.042.

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14

Murthy, V. K., and E. V. Krishnamurthy. "Probabilistic parallel programming based on multiset transformation." Future Generation Computer Systems 11, no. 3 (1995): 283–93. http://dx.doi.org/10.1016/0167-739x(94)00068-p.

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15

Kadry, Seifedine. "On the generalization of probabilistic transformation method." Applied Mathematics and Computation 190, no. 2 (2007): 1284–89. http://dx.doi.org/10.1016/j.amc.2007.02.009.

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Muhr, David, Michael Affenzeller, and Josef Küng. "A Probabilistic Transformation of Distance-Based Outliers." Machine Learning and Knowledge Extraction 5, no. 3 (2023): 782–802. http://dx.doi.org/10.3390/make5030042.

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The scores of distance-based outlier detection methods are difficult to interpret, and it is challenging to determine a suitable cut-off threshold between normal and outlier data points without additional context. We describe a generic transformation of distance-based outlier scores into interpretable, probabilistic estimates. The transformation is ranking-stable and increases the contrast between normal and outlier data points. Determining distance relationships between data points is necessary to identify the nearest-neighbor relationships in the data, yet most of the computed distances are

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17

Liu, Ao-Xiang, and Cong-Feng Qiao. "Probabilistic coherence transformation under strictly incoherent operation." Physics Letters A 554 (September 2025): 130739. https://doi.org/10.1016/j.physleta.2025.130739.

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18

BAI, MING-QIANG, JIA-YIN PENG, and ZHI-WEN MO. "TRANSFORMATION FROM PROBABILISTIC CHANNEL TO DETERMINISTIC CHANNEL BASED ON EIGHT-QUBIT QUANTUM CHANNEL." Modern Physics Letters B 27, no. 04 (2013): 1350030. http://dx.doi.org/10.1142/s0217984913500309.

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In physics experiments, it is very difficult to realize directly using high-dimensional unitary operations. In order to decrease or avoid the shortage during the teleportation process based on probabilistic channel, we propose a new scheme to reconstruct a deterministic teleportation eight-qubit channel using Bell-state measurements based on the probabilistic channel, which replaces high-dimensional unitary operations. In our scheme, a new quantum channel without alterable parameters replaces the general quantum channel with parameters as probabilistic teleportation. It shows that if we choose

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Peng, Xiang, Qilong Gao, Jiquan Li, Zhenyu Liu, Bing Yi, and Shaofei Jiang. "Probabilistic Representation Approach for Multiple Types of Epistemic Uncertainties Based on Cubic Normal Transformation." Applied Sciences 10, no. 14 (2020): 4698. http://dx.doi.org/10.3390/app10144698.

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Many non-probabilistic approaches have been widely regarded as mathematical tools for the representation of epistemic uncertainties. However, their heavy computational burden and low computational efficiency hinder their applications in practical engineering problems. In this article, a unified probabilistic representation approach for multiple types of epistemic uncertainties is proposed based on the cubic normal transformation method. The epistemic uncertainties can be represented using an interval approach, triangular fuzzy approach, or evidence theory. The uncertain intervals of four stati

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20

WANG, MINGJIN. "PROBABILISTIC DERIVATION OF A q-POLYNOMIALS TRANSFORMATION FORMULA." Infinite Dimensional Analysis, Quantum Probability and Related Topics 16, no. 02 (2013): 1350017. http://dx.doi.org/10.1142/s0219025713500173.

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In this paper, we use the distribution W(x; q) and the Lebesgue's dominated convergence theorem to give a probabilistic derivation of a transformation formula for the Al-Salam-Carlitz polynomials. Some applications of the transformation are also given, which include an extension of the Heine's 2ϕ1 transformation formulas and an extension of the Bailey-Daum summation formula.

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21

Guo, Zhan Ying, Qing Lin He, and Ming Zhe Shang. "Probabilistic Controlled Teleportation of an Arbitrary Triplet W State." Applied Mechanics and Materials 273 (January 2013): 800–804. http://dx.doi.org/10.4028/www.scientific.net/amm.273.800.

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A scheme is presented to probabilistically controlled teleport an arbitrary triplet W state using three pair maximally entangled triplet W state as the quantum channel. During the teleportation procedure, the controller performs Von Neumann measurements on his particles, the sender makes orthogonal basis measurements, instead of using Bell-state measurements, and the receiver can faithfully reconstruct the original state by performing relevant unitary transformations. The total probability of successful teleportation can be improved to 20/27. unitary transformation

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22

HU, Lifang, You HE, Xin GUAN, Yong DENG, and Deqiang HAN. "A New Probabilistic Transformation in Generalized Power Space." Chinese Journal of Aeronautics 24, no. 4 (2011): 449–60. http://dx.doi.org/10.1016/s1000-9361(11)60052-6.

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23

Erdin, Rebekka, Christoph Frei, and Hans R. Künsch. "Data Transformation and Uncertainty in Geostatistical Combination of Radar and Rain Gauges." Journal of Hydrometeorology 13, no. 4 (2012): 1332–46. http://dx.doi.org/10.1175/jhm-d-11-096.1.

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Abstract Geostatistics provides a popular framework for deriving high-resolution quantitative precipitation estimates (QPE) by combining radar and rain gauge data. However, the skewed and heteroscedastic nature of precipitation is in contradiction to assumptions of classical geostatistics. This study examines the potential of trans-Gaussian kriging to overcome this contradiction. Combination experiments are undertaken with kriging with external drift (KED) using several settings of the Box–Cox transformation. Hourly precipitation data in Switzerland for the year 2008 serve as test bed to compa

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Perfilieva, Irina, and Vladik Kreinovich. "Towards an (Even More) Natural Probabilistic Interpretation of Fuzzy Transforms (and of Fuzzy Modeling)." Advances in Fuzzy Systems 2011 (2011): 1–9. http://dx.doi.org/10.1155/2011/719256.

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In many practical applications, it turns out to be useful to use the notion offuzzy transform:once we have functionsA1(x)≥0,...,An≥0,with∑i=1nAi(x)=1, we can then represent each functionf(x)by the coefficientsFi=(∫f(x)⋅Ai(x)dx)/(∫Ai(x)dx).Once we know the coefficientsFi, we can (approximately) reconstruct the original functionf(x)as∑i=1nFi⋅Ai(x). The original motivation for this transformation came from fuzzy modeling, but the transformation itself is a purely mathematical transformation. Thus, the empirical successes of this transformation suggest that this transformation can be also interpre

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25

Ren, Panpan, and Feng-Yu Wang. "Space-distribution PDEs for path independent additive functionals of McKean–Vlasov SDEs." Infinite Dimensional Analysis, Quantum Probability and Related Topics 23, no. 03 (2020): 2050018. http://dx.doi.org/10.1142/s0219025720500186.

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Let [Formula: see text] be the space of probability measures on [Formula: see text] with finite second moment. The path independence of additive functionals of McKean–Vlasov SDEs is characterized by PDEs on the product space [Formula: see text] equipped with the usual derivative in space variable and Lions’ derivative in distribution. These PDEs are solved by using probabilistic arguments developed from Ref. 2. As a consequence, the path independence of Girsanov transformations is identified with nonlinear PDEs on [Formula: see text] whose solutions are given by probabilistic arguments as well

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26

Kadry, S. "The Probabilistic Transformation Method in Reliability-Based Design Optimization." Journal of Applied Sciences 8, no. 22 (2008): 4198–203. http://dx.doi.org/10.3923/jas.2008.4198.4203.

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27

Stankevich, S. A., and O. V. Sholonik. "Adaptive multidimensional probabilistic transformation for multispectral digital aerospace images." Kosmìčna nauka ì tehnologìâ 13, no. 1s (2007): 11–14. http://dx.doi.org/10.15407/knit2007.01s.011.

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28

Ouhimmou, S., A. El Hami, Rachid Ellaia, and M. Tkiouat. "Approximate Solution of the Structural Problems Using Probabilistic Transformation." Key Engineering Materials 446 (July 2010): 91–99. http://dx.doi.org/10.4028/www.scientific.net/kem.446.91.

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The aim of this paper is to present a new methodology for the evaluation of the statistical proprieties of the response of structures, based on The Finite Element Analysis (FEA) coupled with the Probabilistic Transformation Method (PTM). Uncertainty modelling with random variables motivates the adoption of advanced PTM for reliability analysis to solve problems of mechanical systems. The PTM is readily applicable in the case where the expression between input and output of structures are available in explicit analytical form. However, the situation is much more involved when it is necessary to

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29

Lew, Alexander K., Mathieu Huot, Sam Staton, and Vikash K. Mansinghka. "ADEV: Sound Automatic Differentiation of Expected Values of Probabilistic Programs." Proceedings of the ACM on Programming Languages 7, POPL (2023): 121–53. http://dx.doi.org/10.1145/3571198.

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Optimizing the expected values of probabilistic processes is a central problem in computer science and its applications, arising in fields ranging from artificial intelligence to operations research to statistical computing. Unfortunately, automatic differentiation techniques developed for deterministic programs do not in general compute the correct gradients needed for widely used solutions based on gradient-based optimization. In this paper, we present ADEV, an extension to forward-mode AD that correctly differentiates the expectations of probabilistic processes represented as programs that

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Fiorentini, Nicholas, Matteo Moriani, and Massimo Rovai. "Balancing Public and Private Interests in Urban Transformations: Handling Uncertainty with the Monte Carlo Method." Real Estate 2, no. 2 (2025): 3. https://doi.org/10.3390/realestate2020003.

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Urban transformations require balancing private real estate interests with the provision of public spaces that enhance sustainability and ecosystem services. This study proposes a probabilistic model to assess the feasibility of transforming buildable areas while ensuring equitable benefits for both private developers and public administrations, with a focus on three areas to be regenerated within the Municipality of Lucca as case studies. Applying the Monte Carlo (MC) method, two probabilistic models—one with a Uniform distribution and the other with a Normal distribution—estimate the expecte

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Ribeiro, Rodrigo Otávio de Araújo, Lidia Angulo Meza, and Annibal Parracho Sant'Anna. "Probabilistic Preferences Composition in the Classification of Apparel Retail Stores." International Journal of Business Analytics 2, no. 4 (2015): 64–78. http://dx.doi.org/10.4018/ijban.2015100104.

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This paper employs the probabilistic composition of preferences to classify stores by their operational efficiency. Probabilistic composition of preferences is a multicriteria analysis methodology based on the transformation of assessments by multiple attributes into probabilities of choice. The numerical initial measurements provide estimates for location parameters of probability distributions that are compared to measure the preferences. The probabilities of choice according to each attribute separately are aggregated according to probabilistic composition rules. A classification of two set

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Ahsanullah, T. M. G., Fawzi Al-Thukair, and Jawaher Al-Mufarrij. "On the continuous action of enriched lattice-valued convergence groups: Some examples." Filomat 34, no. 9 (2020): 3045–64. http://dx.doi.org/10.2298/fil2009045a.

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Starting with a category SL-CONVGRP, of stratified enriched cl-premonoid-valued convergence groups as introduced earlier, we present a category SL-CONVTGRP, of stratified enriched cl-premonoid-valued convergence transformation groups, the idea behind this category is crept in the notion of convergence transformation group - a generalization of topological transformation group. In this respect, we are able to provide natural examples in support to our endeavor; these examples, however, stem from the action of convergence approach groups on convergence approach spaces, and the action of probabil

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Regula, Bartosz. "Tight constraints on probabilistic convertibility of quantum states." Quantum 6 (September 22, 2022): 817. http://dx.doi.org/10.22331/q-2022-09-22-817.

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We develop two general approaches to characterising the manipulation of quantum states by means of probabilistic protocols constrained by the limitations of some quantum resource theory. First, we give a general necessary condition for the existence of a physical transformation between quantum states, obtained using a recently introduced resource monotone based on the Hilbert projective metric. In all affine quantum resource theories (e.g. coherence, asymmetry, imaginarity) as well as in entanglement distillation, we show that the monotone provides a necessary and sufficient condition for one-

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Hajihassani, Omid, Omid Ardakanian, and Hamzeh Khazaei. "Anonymizing Sensor Data on the Edge: A Representation Learning and Transformation Approach." ACM Transactions on Internet of Things 3, no. 1 (2022): 1–26. http://dx.doi.org/10.1145/3485820.

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The abundance of data collected by sensors in Internet of Things devices and the success of deep neural networks in uncovering hidden patterns in time series data have led to mounting privacy concerns. This is because private and sensitive information can be potentially learned from sensor data by applications that have access to this data. In this article, we aim to examine the tradeoff between utility and privacy loss by learning low-dimensional representations that are useful for data obfuscation. We propose deterministic and probabilistic transformations in the latent space of a variationa

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HUANG, YONG-CHANG, M. LIU, and MENG SUO. "N-PARTICLE GENERAL W STATE AND PROBABILISTIC TELEPORTATION." International Journal of Modern Physics B 21, no. 25 (2007): 4387–97. http://dx.doi.org/10.1142/s021797920703782x.

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We show a general W state of N-particle entanglement. Using four pairs of two-particle non-maximally entanglement states, we give a general scheme of probabilistic teleportation of the four-particle general W state by constructing a 5 × 5 projection transformation matrix different from the other references. The general scheme overcomes the difficulty of having to introduce an auxiliary state |0>A in order to get a complex unitary transformation matrix. Thus, we need not perform more operations and measurements than the past researches. We then give a general scheme of the probabilistic tele

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Mohapatra, Goutam, and Satyam S. Sahay. "A Probabilistic Approach to Analyze Austenite to Ferrite Transformation in Fe-Ni System." Defect and Diffusion Forum 279 (August 2008): 71–77. http://dx.doi.org/10.4028/www.scientific.net/ddf.279.71.

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Dilatometer is often used for in situ measurement of phase transformation by monitoring the length change during heating or cooling cycle. However, the inevitable temperature gradient across the specimen length during inductive heating, introduces uncertainty in temperature measurements and hence the associated phase transformation kinetics. Due to this uncertainty, it is more meaningful to interpret the transformation kinetics from dilatometry in terms transformation ranges instead of unique values of fraction transformed. In the present work, a probabilistic approach has been used to predict

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Song, Hwa Jeon. "Probabilistic Bilinear Transformation Space-Based Joint Maximum A Posteriori Adaptation." ETRI Journal 34, no. 5 (2012): 783–86. http://dx.doi.org/10.4218/etrij.12.0212.0054.

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Rybak, Jakub, and Heather S. Battey. "Sparsity induced by covariance transformation: some deterministic and probabilistic results." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2247 (2021): 20200756. http://dx.doi.org/10.1098/rspa.2020.0756.

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Motivated by statistical challenges arising in modern scientific fields, notably genomics, this paper seeks embeddings in which relevant covariance models are sparse. The work exploits a bijective mapping between a strictly positive definite matrix and its orthonormal eigen-decomposition, and between an orthonormal eigenvector matrix and its principle matrix logarithm. This leads to a representation of covariance matrices in terms of skew-symmetric matrices, for which there is a natural basis representation, and through which sparsity is conveniently explored. This theoretical work establishes

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Aien, Morteza, Mahmud Fotuhi-Firuzabad, and Farrokh Aminifar. "Probabilistic Load Flow in Correlated Uncertain Environment Using Unscented Transformation." IEEE Transactions on Power Systems 27, no. 4 (2012): 2233–41. http://dx.doi.org/10.1109/tpwrs.2012.2191804.

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Mak, Man-Wai, Kwok-Kwong Yiu, and Sun-Yuan Kung. "Probabilistic feature-based transformation for speaker verification over telephone networks." Neurocomputing 71, no. 1-3 (2007): 137–46. http://dx.doi.org/10.1016/j.neucom.2007.08.003.

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Qin, Fang, Ma, and Li. "Probabilistic Energy Flow Calculation through the Nataf Transformation and Point Estimation." Applied Sciences 9, no. 16 (2019): 3291. http://dx.doi.org/10.3390/app9163291.

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With the increasing capacity of renewable energy sources, uncertainties regarding renewable energy and other dynamic loads in integrated energy systems (IESs) are increasing. Thus, it is necessary to study the probabilistic energy flow (PEF) of IESs. However, existing PEF calculation methods such as the point estimate method (PEM) are computationally inefficient when there are many random variables and estimated points; moreover, relatively large errors can occur when the estimated points are outside their limits. Hence, this paper presents a calculation method that addresses these problems. B

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Dong, Yilin, Lei Cao, and Kezhu Zuo. "Genetic Algorithm Based on a New Similarity for Probabilistic Transformation of Belief Functions." Entropy 24, no. 11 (2022): 1680. http://dx.doi.org/10.3390/e24111680.

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Recent studies of alternative probabilistic transformation (PT) in Dempster–Shafer (DS) theory have mainly focused on investigating various schemes for assigning the mass of compound focal elements to each singleton in order to obtain a Bayesian belief function for decision-making problems. In the process of such a transformation, how to precisely evaluate the closeness between the original basic belief assignments (BBAs) and transformed BBAs is important. In this paper, a new aggregation measure is proposed by comprehensively considering the interval distance between BBAs and also the sequenc

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Zhang, Xin, Hong Liu, and Li Mei Zhou. "The Probabilistic Reliability Assessment of Distribution Network Containing Distributed Generation." Applied Mechanics and Materials 448-453 (October 2013): 2503–6. http://dx.doi.org/10.4028/www.scientific.net/amm.448-453.2503.

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The access of distributed renewable energy enhances the uncertainty of the distribution network reliability, whereas the distribution network reliability evaluation using existing methods cannot fully reflect the stochastic volatility of islanding power supply and loads. For this reason the approach of active distribution network probabilistic reliability evaluation based on point estimation method was proposed. In the framework of Monte Carlo simulation, the islanding random variable was sampled and processed firstly; then the islanding probabilistic reliability was assessed with a nonlinear

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Löbl, Matthias C., Love A. Pettersson, Stefano Paesani, and Anders S. Sørensen. "Transforming graph states via Bell state measurements." Quantum 9 (July 14, 2025): 1795. https://doi.org/10.22331/q-2025-07-14-1795.

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Graph states are key resources for measurement-based quantum computing, which is particularly promising for photonic systems. Fusions are probabilistic Bell state measurements, measuring pairs of parity operators of two qubits. Fusions can be used to connect/entangle different graph states, making them a powerful resource for measurement-based and related fusion-based quantum computing. There are several different graph structures and types of Bell state measurements, yet the associated graph transformations have only been analyzed for specific cases. Here, we provide a full set of graph trans

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Li, Wei. "A Modified High-Order Moment Method Based on the Normal Transformation Polynomial." Advanced Materials Research 261-263 (May 2011): 873–77. http://dx.doi.org/10.4028/www.scientific.net/amr.261-263.873.

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Normal transformation technique is often used in practical probabilistic analysis in structural or civil engineering especially when multivariate random variables with the probabilistic characteristics expressed using only statistical moments are involved. In this paper, a modified high-order moment method(MHOM) is given based on the polynomial coefficients of a third-order normal transformation polynomial (NTP) using the first four central moments of random variables having unknown distributions. The present high-order moment method is introduced into several typical test problems having unkn

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Tong, Ming-Na, Fu-Qiang Shen, and Chen-Xing Cui. "The Inverse Transformation of L-Hermite Model and Its Application in Structural Reliability Analysis." Mathematics 10, no. 22 (2022): 4318. http://dx.doi.org/10.3390/math10224318.

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In probabilistic analysis, random variables with unknown distributions are often appeared when dealing with practical engineering problem. A Hermite normal transformation model has been proposed to conduct structural reliability assessment without the exclusion of random variables with unknown probability distributions. Recently, linear moments (L-moments) are widely used due to the advantages of stability and insensitivity. In this paper, the complete expressions of the inverse transformation of L-moments Hermite (L-Hermite) model have been proposed. The criteria are proposed to derive the co

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Pic, Romain, Clément Dombry, Philippe Naveau, and Maxime Taillardat. "Proper scoring rules for multivariate probabilistic forecasts based on aggregation and transformation." Advances in Statistical Climatology, Meteorology and Oceanography 11, no. 1 (2025): 23–58. https://doi.org/10.5194/ascmo-11-23-2025.

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Abstract. Proper scoring rules are an essential tool to assess the predictive performance of probabilistic forecasts. However, propriety alone does not ensure an informative characterization of predictive performance, and it is recommended to compare forecasts using multiple scoring rules. With that in mind, interpretable scoring rules providing complementary information are necessary. We formalize a framework based on aggregation and transformation to build interpretable multivariate proper scoring rules. Aggregation-and-transformation-based scoring rules can target application-specific featu

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Hu, Jianzu, Yuefeng Wang, Fan Cheng, and Hanqing Shi. "A Long-Term Power Supply Risk Evaluation Method for China Regional Power System Based on Probabilistic Production Simulation." Energies 17, no. 11 (2024): 2515. http://dx.doi.org/10.3390/en17112515.

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To qualify the risk of extreme weather events for power supply security during the long-term power system transformation process, this paper proposes a risk probability evaluation method based on probabilistic production simulation. Firstly, the internal relationship of extreme weather intensity and duration is depicted using the copula function, and the influences of extreme weather on power security are described using the guaranteed power output ability coefficient, which can provide the extreme scenario basis for probabilistic production simulation. Then, a probabilistic production simulat

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Xu, Wei, Xiaoying Fu, Xia Li, and Ming Wang. "Data transformation models utilized in Bayesian probabilistic forecast considering inflow forecasts." Hydrology Research 50, no. 5 (2019): 1267–80. http://dx.doi.org/10.2166/nh.2019.028.

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Abstract This paper presents a new Bayesian probabilistic forecast (BPF) model to improve the efficiency and reliability of normal distribution transformation and to describe the uncertainties of medium-range forecasting inflows with 10 days forecast horizons. In this model, the inflow data will be transformed twice to a standard normal distribution. The Box–Cox (BC) model is first used to quickly transform the inflow data with a normal distribution, and then, the transformed data are converted to a standard normal distribution by the meta-Gaussian (MG) model. Based on the transformed inflows

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Frey, Stefan, and Camilla Colombo. "Transformation of Satellite Breakup Distribution for Probabilistic Orbital Collision Hazard Analysis." Journal of Guidance, Control, and Dynamics 44, no. 1 (2021): 88–105. http://dx.doi.org/10.2514/1.g004939.

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