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Keywords = Fisher information (FI)

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10 pages, 464 KiB  
Article
Optimizing Parameter Estimation Precision in Open Quantum Systems
by Kamal Berrada
Axioms 2025, 14(5), 368; https://doi.org/10.3390/axioms14050368 - 13 May 2025
Viewed by 355
Abstract
In the present manuscript, we demonstrate the potential to control and enhance the accuracy of parameter estimation (P-E) in a two-level atom (TLA) immersed in a cavity field that interacts with another cavity. We investigate the dynamics of quantum Fisher information (FI), considering [...] Read more.
In the present manuscript, we demonstrate the potential to control and enhance the accuracy of parameter estimation (P-E) in a two-level atom (TLA) immersed in a cavity field that interacts with another cavity. We investigate the dynamics of quantum Fisher information (FI), considering the influence of coupling strength between the two cavities and the detuning parameter. Our findings reveal that, in the case of a perfect cavity, a high quantum FI value can be maintained during the dynamics concerning the detuning and coupling strength parameters. The results indicate that with a proper choice of quantum model parameters, long-term protection of the FI can be achieved without being affected by decoherence. Full article
(This article belongs to the Special Issue Applied Nonlinear Dynamical Systems in Mathematical Physics)
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10 pages, 244 KiB  
Article
Caregiver Perception of the Oral-Health-Related Quality of Life of Children with Special Needs: An Exploratory Study
by Lidia Gavic, Megi Brekalo and Antonija Tadin
Epidemiologia 2024, 5(3), 547-556; https://doi.org/10.3390/epidemiologia5030038 - 28 Aug 2024
Cited by 2 | Viewed by 1676
Abstract
Background: Compared to the general population, individuals with special needs tend to have worse oral health, potentially diminishing their quality of life. This study aimed to evaluate the perception of parents and caregivers regarding the effect of oral health on the quality of [...] Read more.
Background: Compared to the general population, individuals with special needs tend to have worse oral health, potentially diminishing their quality of life. This study aimed to evaluate the perception of parents and caregivers regarding the effect of oral health on the quality of life of individuals with special needs who received dental treatment under general anaesthesia, as well as the impact on their and their families’ quality of life. Materials and methods: This cross-sectional study involved participants with special needs who had undergone a dental treatment under general anaesthesia. Before the intervention, an oral examination was conducted to count the number of teeth affected by caries. Parents or caregivers filled out a specially designed questionnaire that included sociodemographic information, details about the children’s oral hygiene and dietary habits, and questionnaires on the impact of their child’s oral health on their quality of life (P-CPQ) and the influence of the oral health of children with psychophysical difficulties on the family (FIS). The data collected were analysed both descriptively and using the chi-square test, Fisher’s exact test, Kruskal–Wallis test, and Spearman’s correlation analysis. The level of significance was set at p ≤ 0.05. Results: This study involved 42 children (24 females and 18 males) with an average age of 21.14 ± 8.34 years. The average number of carious teeth per participant was 9.74 ± 5.63. About 66% of respondents reported that their children performed oral hygiene with their help, while 9.5% of them did not do so at all. Individuals with a higher number of caries had statistically significantly higher scores on the emotional well-being (p = 0.004) and social well-being (p = 0.033) subscales of P-CPQ, as well as on the parental emotions subscale of FIS (p = 0.020). Also, there was a difference in the number of carious teeth in participants due to unhealthy habits (drinking sweetened beverages, p = 0.030) and due to comforting with food (p = 0.004). Conclusion: The increase in the number of carious teeth in individuals with special needs has been associated with the quality of life of their families. To address this, it is crucial to promote the prevention of oral health issues by educating individuals with special needs and their caregivers on proper oral hygiene techniques and diets tailored to their specific requirements. Full article
27 pages, 1051 KiB  
Article
Fisher Information, Asymptotic Behavior, and Applications for Generalized Order Statistics and Their Concomitants Based on the Sarmanov Family
by Mohamed A. Abd Elgawad, Haroon M. Barakat, Islam A. Husseiny, Ghada M. Mansour, Salem A. Alyami, Ibrahim Elbatal and Metwally A. Alawady
Axioms 2024, 13(1), 17; https://doi.org/10.3390/axioms13010017 - 25 Dec 2023
Cited by 3 | Viewed by 1667
Abstract
In this paper, the Fisher information (FI), relevant to m-generalized order statistics (m-GOSs) and their concomitants of the shape-parameter of the Sarmanov family of bivariate distributions, is investigated. In addition, we study the concomitants of m-GOSs from this family. [...] Read more.
In this paper, the Fisher information (FI), relevant to m-generalized order statistics (m-GOSs) and their concomitants of the shape-parameter of the Sarmanov family of bivariate distributions, is investigated. In addition, we study the concomitants of m-GOSs from this family. Furthermore, we look at how those concomitants were distributed collectively. The FI contained in the scale and shape parameters of the exponential and power function distributions, respectively, in concomitants of m-GOSs is obtained. A study of the asymptotic behavior of the concomitants of ordinary order statistics is also provided. Some versatile applications for this study are offered. As a final step, we examined a bivariate real-world data set for illustrative purposes. Full article
(This article belongs to the Special Issue Mathematical and Statistical Methods and Their Applications)
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16 pages, 994 KiB  
Article
Fisher Information as General Metrics of Quantum Synchronization
by Yuan Shen, Hong Yi Soh, Leong-Chuan Kwek and Weijun Fan
Entropy 2023, 25(8), 1116; https://doi.org/10.3390/e25081116 - 26 Jul 2023
Cited by 4 | Viewed by 2812
Abstract
Quantum synchronization has emerged as a crucial phenomenon in quantum nonlinear dynamics with potential applications in quantum information processing. Multiple measures for quantifying quantum synchronization exist. However, there is currently no widely agreed metric that is universally adopted. In this paper, we propose [...] Read more.
Quantum synchronization has emerged as a crucial phenomenon in quantum nonlinear dynamics with potential applications in quantum information processing. Multiple measures for quantifying quantum synchronization exist. However, there is currently no widely agreed metric that is universally adopted. In this paper, we propose using classical and quantum Fisher information (FI) as alternative metrics to detect and measure quantum synchronization. We establish the connection between FI and quantum synchronization, demonstrating that both classical and quantum FI can be deployed as more general indicators of quantum phase synchronization in some regimes where all other existing measures fail to provide reliable results. We show advantages in FI-based measures, especially in 2-to-1 synchronization. Furthermore, we analyze the impact of noise on the synchronization measures, revealing the robustness and susceptibility of each method in the presence of dissipation and decoherence. Our results open up new avenues for understanding and exploiting quantum synchronization. Full article
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14 pages, 2782 KiB  
Article
Exploring the Effects of LED-Based Visible Light Communication on Reading and Color Perception in Indoor Environments: An Experimental Study
by Stefano Caputo, Lorenzo Mucchi, Regina Comparetto, Vittoria D’Antoni, Alessandro Farini, Valentina Orsi and Elisabetta Baldanzi
Sensors 2023, 23(6), 2949; https://doi.org/10.3390/s23062949 - 8 Mar 2023
Cited by 2 | Viewed by 3144
Abstract
Visible light communications (VLC) is a technology that enables the transmission of digital information with a light source. VLC is nowadays seen as a promising technology for indoor applications, helping WiFi to handle the spectrum crunch. Possible indoor applications range from Internet connection [...] Read more.
Visible light communications (VLC) is a technology that enables the transmission of digital information with a light source. VLC is nowadays seen as a promising technology for indoor applications, helping WiFi to handle the spectrum crunch. Possible indoor applications range from Internet connection at home/office to multimedia content delivery in a museum. Despite the vast interest of researchers in both theoretical analysis and experimentation on VLC technology, no studies have been carried out on the human perceptions of objects illuminated by VLC-based lamps. It is important to define if a VLC lamp decreases the reading capability or modifies the color perception in order to make VLC a technology appropriate for everyday life use. This paper describes the results of psychophysical tests on humans to define if VLC lamps modify the perception of colors or the reading speed. The results of the reading speed test showed a 0.97 correlation coefficient between tests with and without VLC modulated light, leading us to conclude that there is no difference in the reading speed capability with and without VLC-modulated light. The results of the color perception test showed a Fisher exact test p-value of 0.2351, showing that the perception of color is not influenced by the presence of the VLC modulated light. Full article
(This article belongs to the Special Issue Feature Papers in Optical Sensors 2023)
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19 pages, 4898 KiB  
Article
An Information Theory-Based Approach to Assessing Spatial Patterns in Complex Systems
by Tarsha Eason, Wen-Ching Chuang, Shana Sundstrom and Heriberto Cabezas
Entropy 2019, 21(2), 182; https://doi.org/10.3390/e21020182 - 15 Feb 2019
Cited by 8 | Viewed by 4174
Abstract
Given the intensity and frequency of environmental change, the linked and cross-scale nature of social-ecological systems, and the proliferation of big data, methods that can help synthesize complex system behavior over a geographical area are of great value. Fisher information evaluates order in [...] Read more.
Given the intensity and frequency of environmental change, the linked and cross-scale nature of social-ecological systems, and the proliferation of big data, methods that can help synthesize complex system behavior over a geographical area are of great value. Fisher information evaluates order in data and has been established as a robust and effective tool for capturing changes in system dynamics, including the detection of regimes and regime shifts. The methods developed to compute Fisher information can accommodate multivariate data of various types and requires no a priori decisions about system drivers, making it a unique and powerful tool. However, the approach has primarily been used to evaluate temporal patterns. In its sole application to spatial data, Fisher information successfully detected regimes in terrestrial and aquatic systems over transects. Although the selection of adjacently positioned sampling stations provided a natural means of ordering the data, such an approach limits the types of questions that can be answered in a spatial context. Here, we expand the approach to develop a method for more fully capturing spatial dynamics. The results reflect changes in the index that correspond with geographical patterns and demonstrate the utility of the method in uncovering hidden spatial trends in complex systems. Full article
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20 pages, 3617 KiB  
Article
Assessment of Receiver Signal Strength Sensing for Location Estimation Based on Fisher Information
by John Nielsen and Christopher Nielsen
Sensors 2016, 16(10), 1570; https://doi.org/10.3390/s16101570 - 24 Sep 2016
Cited by 1 | Viewed by 4196
Abstract
Currently there is almost ubiquitous availability of wireless signaling for data communications within commercial building complexes resulting in receiver signal strength (RSS) observables that are typically sufficient for generating viable location estimates of mobile wireless devices. However, while RSS observables are generally plentiful, [...] Read more.
Currently there is almost ubiquitous availability of wireless signaling for data communications within commercial building complexes resulting in receiver signal strength (RSS) observables that are typically sufficient for generating viable location estimates of mobile wireless devices. However, while RSS observables are generally plentiful, achieving an accurate estimation of location is difficult due to several factors affecting the electromagnetic coupling between the mobile antenna and the building access points that are not modeled and hence contribute to the overall estimation uncertainty. Such uncertainty is typically mitigated with a moderate redundancy of RSS sensor observations in combination with other constraints imposed on the mobile trajectory. In this paper, the Fisher Information (FI) of a set of RSS sensor observations in the context of variables related to the mobile location is developed. This provides a practical method of determining the potential location accuracy for the given set of wireless signals available. Furthermore, the information value of individual RSS measurements can be quantified and the RSS observables weighted accordingly in estimation combining algorithms. The practical utility of using FI in this context was demonstrated experimentally with an extensive set of RSS measurements recorded in an office complex. The resulting deviation of the mobile location estimation based on application of weighted likelihood processing to the experimental RSS data was shown to agree closely with the Cramer Rao bound determined from the FI analysis. Full article
(This article belongs to the Section Physical Sensors)
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