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Keywords = Bradley-Terry

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22 pages, 889 KiB  
Article
Exploring Consistency in the Three-Option Davidson Model: Bridging Pairwise Comparison Matrices and Stochastic Methods
by Anna Tóth-Merényi, Csaba Mihálykó, Éva Orbán-Mihálykó and László Gyarmati
Mathematics 2025, 13(9), 1374; https://doi.org/10.3390/math13091374 - 23 Apr 2025
Viewed by 322
Abstract
In this paper, data consistency in the three-option Davidson model is investigated. Starting out with the usual consistency definition in pairwise matrices-based methods, we examine its consequences. We formulate an equivalent statement based on the usual PCM-based consistency definition for evaluation results, which [...] Read more.
In this paper, data consistency in the three-option Davidson model is investigated. Starting out with the usual consistency definition in pairwise matrices-based methods, we examine its consequences. We formulate an equivalent statement based on the usual PCM-based consistency definition for evaluation results, which aligns with the statement found in the two-option model and establishes a connection between the evaluation results based on PCM and those obtained from the three-option Davidson model. The theoretical results are complemented by findings based on random simulations, through which we also demonstrate the connections: the optimal comparison structures are identical to those in the PCM-based methods and in the two-option Bradley–Terry model. Full article
(This article belongs to the Section D: Statistics and Operational Research)
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18 pages, 11797 KiB  
Article
Understanding Visual Attention to Button Design Utilizing Eye-Tracking: An Experimental Investigation
by Katharina Gleichauf, Verena Wagner-Hartl, Gerald J. Ackner and Stefan Pfeffer
Appl. Syst. Innov. 2025, 8(2), 27; https://doi.org/10.3390/asi8020027 - 21 Feb 2025
Viewed by 1814
Abstract
As graphical user interfaces continue to become more complex; it is becoming increasingly important for user interface (UI) and user experience (UX) designers to understand how design elements influence user attention. This study investigates the impact of button shape on user perception, focusing [...] Read more.
As graphical user interfaces continue to become more complex; it is becoming increasingly important for user interface (UI) and user experience (UX) designers to understand how design elements influence user attention. This study investigates the impact of button shape on user perception, focusing on shape preferences, attention distribution, and perceived pleasantness. To isolate the effect of shape, buttons with five different corner radii (completely angular to completely curved) were presented without contextual influences in a pairwise comparison. The research combined eye-tracking technology with digital questionnaires to collect both objective and subjective data. The results obtained revealed a preference for buttons with moderate corner radii, while buttons with completely angular corners received the least attention and were the least favored. Notably, discrepancies emerged between subjective preferences and objective attention rankings, particularly for wireframe buttons. This research demonstrates the effectiveness of eye-tracking in UI/UX design studies and provides valuable insights into the relationship between attention and preference for abstract design elements. The findings offer fundamental theory for creating more intuitive and effective graphical user interfaces, while also highlighting the limitation and importance of examining design elements within relevant contexts in future studies. Full article
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37 pages, 16392 KiB  
Article
Pic2Plate: A Vision-Language and Retrieval-Augmented Framework for Personalized Recipe Recommendations
by Yosua Setyawan Soekamto, Andreas Lim, Leonard Christopher Limanjaya, Yoshua Kaleb Purwanto, Suk-Ho Lee and Dae-Ki Kang
Sensors 2025, 25(2), 449; https://doi.org/10.3390/s25020449 - 14 Jan 2025
Viewed by 2439
Abstract
Choosing nutritious foods is essential for daily health, but finding recipes that match available ingredients and dietary preferences can be challenging. Traditional recommendation methods often lack personalization and accurate ingredient recognition. Personalized systems address this by integrating user preferences, dietary needs, and ingredient [...] Read more.
Choosing nutritious foods is essential for daily health, but finding recipes that match available ingredients and dietary preferences can be challenging. Traditional recommendation methods often lack personalization and accurate ingredient recognition. Personalized systems address this by integrating user preferences, dietary needs, and ingredient availability. This study presents Pic2Plate, a framework combining Vision-Language Models (VLMs) and Retrieval-Augmented Generation (RAG) to overcome these challenges. Pic2Plate uses advanced image recognition to extract ingredient lists from user images and RAG to retrieve and personalize recipe recommendations. Leveraging smartphone camera sensors ensures accessibility and portability. Pic2Plate’s performance was evaluated in two areas: ingredient detection accuracy and recipe relevance. The ingredient detection module, powered by GPT-4o, achieved strong results with precision (0.83), recall (0.91), accuracy (0.77), and F1-score (0.86), demonstrating effectiveness in recognizing diverse food items. A survey of 120 participants assessed recipe relevance, with model rankings calculated using the Bradley–Terry method. Pic2Plate’s VLM and RAG integration consistently outperformed other models. These results highlight Pic2Plate’s ability to deliver context-aware, reliable, and diverse recipe suggestions. The study underscores its potential to transform recipe recommendation systems with a scalable, user-centric approach to personalized cooking. Full article
(This article belongs to the Special Issue Deep Learning Technology and Image Sensing: 2nd Edition)
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17 pages, 397 KiB  
Article
Algorithm for Option Number Selection in Stochastic Paired Comparison Models
by László Gyarmati, Csaba Mihálykó and Éva Orbán-Mihálykó
Algorithms 2024, 17(9), 410; https://doi.org/10.3390/a17090410 - 14 Sep 2024
Cited by 2 | Viewed by 1071
Abstract
In this paper, paired comparison models with a stochastic background are investigated and compared from the perspective of the option numbers allowed. As two-option and three-option models are the ones most frequently used, we mainly focus on the relationships between two-option and four-option [...] Read more.
In this paper, paired comparison models with a stochastic background are investigated and compared from the perspective of the option numbers allowed. As two-option and three-option models are the ones most frequently used, we mainly focus on the relationships between two-option and four-option models and three-option and five-option models, and then we turn to the general s- and (s+2)-option models. We compare them from both theoretical and practical perspectives; the latter are based on computer simulations. We examine, when it is possible, mandatory, or advisable how to convert four-, five-, and (s+2)-option models into two-, three-, and s-option models, respectively. The problem also exists in reverse: when is it advisable to use four-, five-, and (s+2)-option models instead of two-, three-, and s-option models? As a result of these investigations, we set up an algorithm to perform the decision process. Full article
(This article belongs to the Special Issue Numerical Optimization and Algorithms: 2nd Edition)
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18 pages, 572 KiB  
Article
Comparative Analysis of the Existence and Uniqueness Conditions of Parameter Estimation in Paired Comparison Models
by László Gyarmati, Éva Orbán-Mihálykó and Csaba Mihálykó
Axioms 2023, 12(6), 575; https://doi.org/10.3390/axioms12060575 - 9 Jun 2023
Cited by 4 | Viewed by 1310
Abstract
In this paper, paired comparison models with stochastic background are investigated. We focus on the models that allow three options for choice and the parameters are estimated by maximum likelihood method. The existence and uniqueness of the estimator are key issues of the [...] Read more.
In this paper, paired comparison models with stochastic background are investigated. We focus on the models that allow three options for choice and the parameters are estimated by maximum likelihood method. The existence and uniqueness of the estimator are key issues of the evaluation. In the case of two options, a necessary and sufficient condition is given by Ford in the Bradley–Terry model. We generalize this statement for the set of strictly log-concave distribution. Although in the case of three options the necessary and sufficient condition is not known, there are two different sufficient conditions that are formulated in the literature. In this paper, we generalize them; moreover, we compare these conditions. Their capacities to indicate the existence of the maximum were analyzed using a large number of computer simulations. These simulations support that the new condition indicates the existence of the maximum much more frequently than the previously known ones. Full article
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12 pages, 2497 KiB  
Article
BetaBayes—A Bayesian Approach for Comparing Ecological Communities
by Filipe S. Dias, Michael Betancourt, Patricia María Rodríguez-González and Luís Borda-de-Água
Diversity 2022, 14(10), 858; https://doi.org/10.3390/d14100858 - 11 Oct 2022
Cited by 2 | Viewed by 2882
Abstract
Ecological communities change because of both natural and human factors. Distinguishing between the two is critical to ecology and conservation science. One of the most common approaches for modelling species composition changes is calculating beta diversity indices and then relating index changes to [...] Read more.
Ecological communities change because of both natural and human factors. Distinguishing between the two is critical to ecology and conservation science. One of the most common approaches for modelling species composition changes is calculating beta diversity indices and then relating index changes to environmental changes. The main difficulty with these analyses is that beta diversity indices are paired comparisons, which means indices calculated with the same community are not independent. Mantel tests and generalised dissimilarity modelling (GDM) are two of the most commonly used statistical procedures for analysing such data, employing randomisation tests to consider the data’s dependence. Here, we introduce a Bayesian model-based approach called BetaBayes that explicitly incorporates the data dependence. This approach is based on the Bradley–Terry model, which is a widely used approach for modelling paired comparisons that involves building a standard regression model containing two varying intercepts, one for each community involved in the beta diversity index, that capture their respective contributions. We used BetaBayes to analyse a famous dataset collected in Panama that contains information on multiple 1 ha plots from the rain forests of Panama. We calculated the Bray–Curtis index between all pairs of plots, analysed the relationship between the index and two covariates (geographic distance and elevation), and compared the results of BetaBayes with those from the Mantel test and GDM. BetaBayes has two distinctive features. The first is its flexibility, which allows the user to quickly change it to fit the data structure; namely, by adding varying effects, incorporating spatial autocorrelation, and modelling complex nonlinear relationships. The second is that it provides a clear path for performing model validation and model improvement. BetaBayes avoids hypothesis testing, instead focusing on recreating the data generating process and quantifying all the model configurations that are consistent with the observed data. Full article
(This article belongs to the Section Biodiversity Loss & Dynamics)
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19 pages, 16862 KiB  
Article
OpenHSI: A Complete Open-Source Hyperspectral Imaging Solution for Everyone
by Yiwei Mao, Christopher H. Betters, Bradley Evans, Christopher P. Artlett, Sergio G. Leon-Saval, Samuel Garske, Iver H. Cairns, Terry Cocks, Robert Winter and Timothy Dell
Remote Sens. 2022, 14(9), 2244; https://doi.org/10.3390/rs14092244 - 7 May 2022
Cited by 16 | Viewed by 9570
Abstract
OpenHSI is an initiative to lower the barriers of entry and bring compact pushbroom hyperspectral imaging spectrometers to a wider audience. We present an open-source optical design that can be replicated with readily available commercial-off-the-shelf components, and an open-source software platform openhsi that [...] Read more.
OpenHSI is an initiative to lower the barriers of entry and bring compact pushbroom hyperspectral imaging spectrometers to a wider audience. We present an open-source optical design that can be replicated with readily available commercial-off-the-shelf components, and an open-source software platform openhsi that simplifies the process of capturing calibrated hyperspectral datacubes. Some of the features that the software stack provides include: an ISO 19115-2 metadata editor, wavelength calibration, a fast smile correction method, radiance conversion, atmospheric correction using 6SV (an open-source radiative transfer code), and empirical line calibration. A pipeline was developed to customise the desired processing and make openhsi practical for real-time use. We used the OpenHSI optical design and software stack successfully in the field and verified the performance using calibration tarpaulins. By providing all the tools needed to collect documented hyperspectral datasets, our work empowers practitioners who may not have the financial or technical capability to operate commercial hyperspectral imagers, and opens the door for applications in new problem domains. Full article
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15 pages, 1777 KiB  
Article
A Bradley-Terry Model-Based Approach to Prioritize the Balance Scorecard Driving Factors: The Case Study of a Financial Software Factory
by Vicente Rodríguez Montequín, Joaquín Manuel Villanueva Balsera, Marina Díaz Piloñeta and César Álvarez Pérez
Mathematics 2020, 8(2), 276; https://doi.org/10.3390/math8020276 - 19 Feb 2020
Cited by 7 | Viewed by 6018
Abstract
The prioritization of factors has been widely studied applying different methods from the domain of the multiple-criteria decision-making, such as for example the Analytic Hierarchy Process method (AHP) based on decision-makers’ pairwise comparisons. Most of these methods are subjected to a complex analysis. [...] Read more.
The prioritization of factors has been widely studied applying different methods from the domain of the multiple-criteria decision-making, such as for example the Analytic Hierarchy Process method (AHP) based on decision-makers’ pairwise comparisons. Most of these methods are subjected to a complex analysis. The Bradley-Terry model is a probability model for paired evaluations. Although this model is usually known for its application to calculating probabilities, it can be also extended for ranking factors based on pairwise comparison. This application is much less used; however, this work shows that it can provide advantages, such as greater simplicity than traditional multiple-criteria decision methods in some contexts. This work presents a method for ranking the perspectives and indicators of a balance scorecard when the opinion of several decision-makers needs to be combined. The data come from an elicitation process, accounting for the number of times a factor is preferred to others by the decision-makers in a pairwise comparisons. No preference scale is used; the process just indicates the winner of the comparison. Then, the priority weights are derived from the Bradley-Terry model. The method is applied in a Financial Software Factory for demonstration and validation. The results are compared against the application of the AHP method for the same data, concluding that despite the simplifications made with the new approach, the results are very similar. The study contributes to the multiple-criteria decision-making domain by building an integrated framework, which can be used as a tool for scorecard prioritization. Full article
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