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Publication Open Access Effects of time-restricted eating and resistance training on skeletal muscle tissue quantity, quality and function in postmenopausal women with overweight or obesity: a study protocol(Elsevier, 2024-12-30) Alfaro-Magallanes, Víctor Manuel; Medrano Echeverría, María; Echarte Medina, Jon; Osés Recalde, Maddi; Izquierdo Rodríguez, Claudia; Concepción Álvarez, Mara de la Caridad; Galbete Jiménez, Arkaitz; Idoate, Fernando; Zugasti Murillo, Ana; Petrina Jáuregui, María Estrella; Goñi Gironés, María Elena; Ribelles, María Jesús; Amasene, María; Arenaza Etxeberría, Lide; Tejada-Garrido, Clara I.; Elejalde, E.; Azcárate Jiménez, Unai Xabier; Ruiz Sarrias, Oskitz; Sayar-Beristain, Onintza; García-Ramos, Amador; Martínez Labari, Cristina; Armendáriz Brugos, Cristina; Villanueva Larre, Arantxa; Ruiz Ruiz, Jonatan; Cabeza Laguna, Rafael; Labayen Goñi, Idoia; Ciencias de la Salud; Osasun Zientziak; Institute of Smart Cities - ISC; Ingeniería Eléctrica, Electrónica y de Comunicación; Ingeniaritza Elektrikoa, Elektronikoa eta Telekomunikazio Ingeniaritza; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute on Innovation and Sustainable Development in Food Chain - ISFOODBackground & aims: time-restricted eating (TRE) shows promise for weight loss and improving menopauserelated body composition and cardiometabolic health, but its effects on skeletal muscle tissue (SMT) in postmenopausal women are unknown. This study investigates the effects of three weight loss interventions over 12 weeks on SMT quantity, quality, function, and cardiometabolic health in postmenopausal women with overweight/obesity, with effects persistence evaluated at a 12-month follow-up. Methods and results: in this randomized controlled trial, 78 postmenopausal women (50–65 years; BMI 25–40 kg/m2; sedentary lifestyle; eating window ≥12 h/day; no severe metabolic impairments) will be recruited. Participants will be randomly assigned to one of three groups for 12 weeks: TRE, TRE + resistance training, or CR + resistance training. The TRE groups will reduce their eating window to 8 h and receive nutritional advice to adhere to a Mediterranean diet. The CR group will follow a personalized hypocaloric diet (− 500 kcal/day). Resistance training groups will perform supervised resistance training 3 times/week. Primary Outcome: Change in SMT quantity measured by MRI at baseline and after 12 weeks. Secondary Outcomes: intermuscular adipose tissue (IMAT), strength, power, body weight and composition, and cardiometabolic risk factors. Conclusion: this study will illustrate the effects of TRE and TRE combined with resistance exercise compared with the currently recommended obesity-lifestyle treatment on SMT quantity, quality, function, and cardiometabolic markers. The results will offer insights into dietary strategies to combat obesity and metabolic diseases without increasing sarcopenia risk in postmenopausal women, a sparsely studied and particularly affected population.Publication Open Access A reliability-extended simheuristics for the sustainable vehicle routing problem with stochastic travel times and demands(Springer, 2025-04-01) Abdullahi, Hassana; Reyes-Rubiano, Lorena Silvana; Ouelhadj, Djamila; Faulín Fajardo, Javier; Juan, Ángel A.; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute of Smart Cities - ISC; Universidad Pública de Navarra / Nafarroako Unibertsitate PublikoaReal-life transport operations are often subject to uncertainties in travel time or customers'demands. Additionally, these uncertainties greatly impact the economic, environmental, and social costs of vehicle routing plans. Thus, analysing the sustainability costs of transportation activities and reliability in the presence of uncertainties is essential for decision makers. Accordingly, this paper addresses the Sustainable Vehicle Routing Problem with Stochastic Travel times and Demands. This paper proposes a novel weighted stochastic recourse model that models travel time and demand uncertainties. To solve this challenging problem, we propose an extended simheuristic that integrates reliability analysis to evaluate the reliability of the generated solutions in the presence of uncertainties. An extensive set of computational experiments is carried out to illustrate the potential of the proposed approach and analyse the influence of stochastic components on the different sustainability dimensions.Publication Open Access Personalized cognitive support via social robots(MDPI, 2025-01-31) Rincón Arango, Jaime Andrés; Marco Detchart, Cedric; Julian, Vicente; Estadística, Informática y Matemáticas; Estatistika, Informatika eta MatematikaThis paper explores the use of personalized cognitive support through social robots to assist the elderly in maintaining cognitive health and emotional well-being. As aging populations grow, the demand for innovative solutions to address issues like loneliness, cognitive decline, and physical limitations increases. The studied social robots utilize machine learning and advanced sensor technology to deliver real-time adaptive interactions, including cognitive exercises, daily task assistance, and emotional support. Through responsive and personalized features, the robot enhances user autonomy and improves quality of life by monitoring physical and emotional states and adapting to the needs of each user. This study also examines the challenges of implementing assistive robots in home and healthcare settings, offering insights into the evolving role of AI-powered social robots in eldercare.Publication Open Access Fast calculation methods for the magnetic field of particle lattices(AIP Publishing, 2025-02-14) Royo Silvestre, Isaac; Gandía Aguado, David; Beato López, Juan Jesús; Garayo Urabayen, Eneko; Gómez Polo, Cristina; Ciencias; Zientziak; Institute for Advanced Materials and Mathematics - INAMAT2; Estadística, Informática y Matemáticas; Estatistika, Informatika eta MatematikaWith the rise of 3D printing and composite materials, components comprising dispersed magnetic particles have become more interesting due to the possibility to design magnetic elements of any shape with varying amounts of the actual magnetic material. However, quick and easy calculation methods are needed to design these components enabling the selection of the optimum required percentage of magnetic particles (millimeter parts contain billions of micro-sized particles). This work proposes a semi-analytical iterative method for the estimation of the magnetic field generated by magnetic composites formed by embedded magnetic particles. The model is compared in terms of accuracy and calculation speed with finite element analysis and the average magnetization model of the magnetic composite. The results are finally supported by the comparison with experimental measurements of the weak magnetic field generated by a magnetic particle lattice.Publication Open Access From artificial intelligence to digital humanities(Eusko Ikaskuntza-Sociedad de Estudios Vascos, 2022) Bustince Sola, Humberto; Estadística, Informática y Matemáticas; Estatistika, Informatika eta MatematikaEn este trabajo discutimos la noción de inteligencia artificial, algunos de sus logros recientes, sus limitaciones y cómo puede y debe contemplarse junto a las humanidades, a través de la nueva noción de humanidades digitales.Publication Open Access Análisis espacio-temporal de los accidentes mortales con tractor en España durante el período 2010-2019(Interempresas Media, 2023) Arazuri Garín, Silvia; Ibarrola, Alicia; Mangado Ederra, Jesús; Adin Urtasun, Aritz; Arnal Atarés, Pedro; López Maestresalas, Ainara; Jarén Ceballos, Carmen; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Ingeniería; IngeniaritzaEl sector agrario y el de la construcción son los que presentan los índices de incidencia de accidentes de trabajo mortales más altos de nuestro país, según los datos recogidos por el Instituto Nacional de Seguridad y Salud en el Trabajo (INSST) (2021) dependiente del Ministerio de Trabajo y Economía Social (Cirauqui, 2022). Si tenemos en cuenta la evolución de estos índices, el sector agrario es el único que no ha mejorado dicho índice desde la aparición de la Ley 31/1995 de prevención de riesgos laborales y su siniestralidad continúa aumentando (Fundación Mapfre 2020). Pero, ¿qué ocurre cuando el accidente lo sufren personas que no encajan en la definición legal de trabajador? Estos accidentes no son considerados 'accidente de trabajo' y, por tanto, escapan a todas las estadísticas y datos oficiales del INSST. Este suele ser el caso de muchos accidentes que sufren personas jubiladas, menores de 16 años, familiares colaboradores, etc. que no son personas vinculadas a la actividad laboral tal y como se define en la legislación. Según Arana et al. (2010) de un total de 388 accidentes mortales ocurridos en España con maquinaria agrícola durante los años 2004-2008, solamente el 61,85% de ellos tuvieron carácter oficial. Las personas mayores fueron el sector de la población con un mayor riesgo, seguidos de los niños y las personas ajenas al sector agrario. La mayoría de las muertes fueron debidas al vuelco de tractores sin estructuras de protección.Publication Open Access Data stream clustering: introducing recursively extendable aggregation functions for incremental cluster fusion processes(IEEE, 2025-03-07) Urío Larrea, Asier; Camargo, Heloisa A.; Lucca, Giancarlo; Asmus, Tiago da Cruz; Marco Detchart, Cedric; Schick, L.; López Molina, Carlos; Andreu-Pérez, Javier; Bustince Sola, Humberto; Dimuro, Graçaliz Pereira; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute of Smart Cities - ISCIn data stream (DS) learning, the system has to extract knowledge from data generated continuously, usually at high speed and in large volumes, making it impossible to store the entire set of data to be processed in batch mode. Hence, machine learning models must be built incrementally by processing the incoming examples, as data arrive, while updating the model to be compatible with the current data. In fuzzy DS clustering, the model can either absorb incoming data into existing clusters or initiate a new cluster. As the volume of data increases, there is a possibility that the clusters will overlap to the point where it is convenient to merge two or more clusters into one. Then, a cluster comparison measure (CM) should be applied, to decide whether such clusters should be combined, also in an incremental manner. This defines an incremental fusion process based on aggregation functions that can aggregate the incoming inputs without storing all the previous inputs. The objective of this article is to solve the fuzzy DS clustering problem of incrementally comparing fuzzy clusters on a formal basis. First, we formalize and operationalize incremental fusion processes of fuzzy clusters by introducing recursively extendable (RE) aggregation functions, studying construction methods and different classes of such functions. Second, we propose two approaches to compare clusters: 1) similarity and 2) overlapping between clusters, based on RE aggregation functions. Finally, we analyze the effect of those incremental CMs on the online and offline phases of the well-known fuzzy clustering algorithm d-FuzzStream, showing that our new approach outperforms the original algorithm and presents better or comparable performance to other state-of-the-art DS clustering algorithms found in the literature.Publication Open Access Effects of game-based interventions on functional capacity in acutely hospitalised older adults: results of an open-label non-randomised clinical trial(Oxford University Press, 2022-01-23) Cuevas Lara, César; López Sáez de Asteasu, Mikel; Ramírez Vélez, Robinson; Izquierdo Redín, Mikel; Zambom Ferraresi, Fabíola; Antoñanzas Valencia, Cristina; Galbete Jiménez, Arkaitz; Zambom Ferraresi, Fabrício; Martínez Velilla, Nicolás; Ciencias de la Salud; Osasun Zientziak; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Gobierno de Navarra / Nafarroako GobernuaBackground: Hospitalisation-associated disability due to reduced physical activity levels and prolonged bedrest episodes are highly prevalent in older adults. Objective: To assess the effect of gamified interventions on functional capacity in hospitalised older adults. Methods: A three-armed non-randomised controlled trial with two experimental intervention groups and a control group was conducted in a tertiary public hospital in Navarre, Spain. Participants were allocated to a simple gamification group (SGG) (n = 21), a technology-based gamification group (TGG) (n = 23) or a control group (CG) (n = 26). The end points were changes in functional capacity, muscle strength, cognition, mood status and quality of life. Results: Seventy patients (mean age 86.01 ± 4.27 years old) were included in the study; 29 (41.4%) were women. At discharge, compared to CG, a mean increase of 1.47 points (95%CI, 0.15–2.80 points) and 2.69 points (95%CI, 1.32–4.06 points) was observed (SGG and TGG, respectively) in the SPPB test; as well as an increase of 5.28 points (95%CI, 0.70–9.76 points) in the Barthel Index and 2.03 kg (95%CI, 0.33–3.72 kg) in handgrip strength in the TGG. Regression mediation analyses demonstrated that muscle strength changes (β = 1.30; 95%CI, 0.45–2.14; indirect effect 0.864; 95%CI, 0.09–1.90) significantly mediated the TGG effect on the SPPB score. Conclusions: The TGG intervention programme may provide significant benefits in physical and muscle function over usual care and seems to reverse the functional decline frequently associated with acute hospitalisation in older adults.Publication Open Access Dynamics of particle-particle correlations and the ridge effect in proton-proton collisions(American Physical Society, 2024-10-08) Calé, G.; Chachamis, Grigorios; Sabio Vera, Agustín; Estadística, Informática y Matemáticas; Estatistika, Informatika eta MatematikaIn high-energy particle physics, the study of particle-particle correlations in proton-proton and heavy-ion collisions constitutes a pivotal frontier in the effort to understand the fundamental dynamics of the strong force. To the best of our knowledge, we employ for the first time the Balitsky-Fadin-Kuraev-Lipatov dynamics implemented in a Monte Carlo code in momentum space to compute final-state correlations in proton-proton collisions. Our present work aims to investigate whether the particular dynamics of the high-energy limit of QCD can contribute to the long-range rapidity correlations and the enigmatic ridge effect in proton-proton collisions.Publication Open Access Importance of measurable residual disease in the outcome of adults with acute lymphoblastic leukemia after allogeneic stem cell transplantation: long follow-up analysis from a single transplant center(Elsevier, 2025-03-04) Ormazabal Vélez, Irati; Galbete Jiménez, Arkaitz; Sánchez-Escamilla, Miriam; Marcos-Jiménez, Ana; Fernández-Ruiz, Elena; Salmanton-García, Jon; Bermúdez Rodríguez, Arancha; Figuera Álvarez, Ángela; Estadística, Informática y Matemáticas; Estatistika, Informatika eta MatematikaIntroducción: En este estudio retrospectivo con seguimiento prolongado analizamos los resultados del trasplante alogénico de células progenitoras hematopoyéticas (alo-TPH) en los adultos con leucemia aguda linfoblástica (LAL) y el impacto de la enfermedad medible residual (EMR) antes del trasplante (pre-TPH). Métodos: La detección de la EMR se realizó mediante citometría de flujo multiparamétrica (CFM) para la LAL cromosoma Filadelfia negativa (LAL Ph-neg) y mediante técnicas moleculares para la LAL Filadelfia positiva (LAL Ph-pos).Resultados: Entre los 46 pacientes que disponían del dato de EMR en primera remisión completa (RC1),la incidencia acumulada de recaída (IAR) al primer y tercer año para los pacientes con EMR pre-alo-TPH positiva y negativa fue del 47,1% y del 52,9% vs. el 3,4% y el 6,9%, respectivamente (p < 0,001). La supervivencia libre de enfermedad (SLE) al primer y tercer año fue del 82,8% (IC 95%: 70,1-97,7) y del79,3% (IC 95%: 65,9-95,5) vs. el 35,3% (IC 95%: 18,5-67,2) y el 29,4% (IC 95%: 14,1-61,4) en el grupo de EMR negativa y positiva, respectivamente (p < 0,001). Con una mediana de seguimiento de 29 meses de la cohorte entera y de 177,6 meses en los supervivientes, la supervivencia global (SG) al primer y tercer año en el grupo de EMR negativa y positiva fue del 82,8% (IC 95%: 70,1-97,7) y del 79,2% (IC 95%: 65,6-95,5)vs. el 64,7% (IC 95%: 45,5-91,9) y el 41,2% (IC 95%: 23,3-72,7), respectivamente (p = 0,001). En el modelo multivariable, la EMR positiva pre-alo-TPH se asoció con aumento de recaída y peor supervivencia. Conclusión: Estos resultados apoyan la necesidad de erradicar la EMR pre-TPH para mejorar la super-vivencia de los pacientes con LAL que se someten a un alo-TPH.Publication Open Access The uniqueness of unconditional basis of the 2-convexified Tsirelson space, revisited(Springer, 2024-10-13) Albiac Alesanco, Fernando José; Ansorena, José L.; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2; Universidad Pública de Navarra / Nafarroako Unibertsitate PublikoaOne of the hallmarks in the study of the classification of Banach spaces with a unique (normalized) unconditional basis was the unexpected result by Bourgain, Casazza, Lindenstrauss, and Tzafriri from their 1985 Memoir that the 2-convexified Tsirelson space T(2) had that property (up to equivalence and permutation). Indeed, on one hand, finding a “pathological” space (i.e., not built out as a direct sum of the only three classical sequence spaces with a unique unconditional basis) shattered the hopeful optimism of attaining a satisfactory description of all Banach spaces which enjoy that important structural feature. On the other hand it encouraged furthering a research topic that had received relatively little attention until then. After forty years, the advances on the subject have shed light onto the underlying patterns shared by those spaces with a unique unconditional bases belonging to the same class, which has led to reproving the original theorems with fewer technicalities. Our motivation in this note is to revisit the aforementioned result on the uniqueness of unconditional basis of T(2) from the current state-of-art of the subject and to fill in some details that we missed from the original proof.Publication Open Access Influence of the slope in percentile estimation through binary regression for dose-finding experiments(Taylor & Francis, 2024-12-04) Flournoy, Nancy; Moler Cuiral, José Antonio; Sada Allo, Maider; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Universidad Pública de Navarra / Nafarroako Unibertsitate PublikoaDose-finding experiments aim to estimate the dose having a specified proportion of positive responses by collecting data in the vicinity of this unknown target dose. The importance of estimating the slope as well as a target dose has been recognized long ago in the literature. With large slopes at the target dose, a small error in the target dose estimate will be far from the target. Alternatively, with small slopes at the target, a large error conveys negligible changes on the associated response rate. Thus a reasonably reliable estimate of the slope of the response function at the target dose should accompany every reported target dose estimate. Assuming a monotone increasing dose-response relationship, we work with a sizable catalogue of binary location-scale regression models parameterized by the target dose and the slope at the target. A compound design is proposed for the joint estimation of both features.Publication Open Access A new methodology to easy integrate complementarity criteria in the resource assessment process for hybrid power plants: offshore wind and floating PV(Elsevier, 2025-02-21) Frías Paredes, Laura; Gastón Romeo, Martín; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute of Smart Cities - ISC; Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa, OTRI project, reference number 2020 2143 0The maturity of technologies of energy generation from renewable sources produces tense an increasing interest on hybrid power plant implementation. The combination of different resources, as wind and solar, introduces concepts as complementarity that must be taken into account when suitability of emplacements is made. This work presents a methodology to evaluate a geographic area under the perspective of installing hybrid wind and PV power plants. Therefore, it proposes a way to evaluate the complementarity among both resources that would avoid overestimation due to time delays and it also would offer a holistic procedure to identify the most suitable locations to host one of these hybrid power plants. The methodology is illustrated by evaluating the Off-shore Spanish area to install wind and floating PV plants and is flexible to adapt the evaluation according to dimension of each technology in the future plants. It is shown how the complementarity criteria as input in the site selection process improves the ordered of emplacements obtained when only resource amount is taken into account. The methodology can be used to identify more suitable areas in the initial stages of promoting hybrid power plants. Data from ERA5 and CAMS are used to analyze long term behavior of wind and solar resources.Publication Open Access Less can be more: representational vs. stereotypical gender bias in facial expression recognition(Springer, 2024-10-14) Domínguez Catena, Iris; Paternain Dallo, Daniel; Jurío Munárriz, Aránzazu; Galar Idoate, Mikel; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Universidad Publica de Navarra / Nafarroako Unibertsitate PublikoaMachine learning models can inherit biases from their training data, leading to discriminatory or inaccurate predictions. This is particularly concerning with the increasing use of large, unsupervised datasets for training foundational models. Traditionally, demographic biases within these datasets have not been well-understood, limiting our ability to understand how they propagate to the models themselves. To address this issue, this paper investigates the propagation of demographic biases from datasets into machine learning models. We focus on the gender demographic component, analyzing two types of bias: representational and stereotypical. For our analysis, we consider the domain of facial expression recognition (FER), a field known to exhibit biases in most popular datasets. We use Affectnet, one of the largest FER datasets, as our baseline for carefully designing and generating subsets that incorporate varying strengths of both representational and stereotypical bias. Subsequently, we train several models on these biased subsets, evaluating their performance on a common test set to assess the propagation of bias into the models¿ predictions. Our results show that representational bias has a weaker impact than expected. Models exhibit a good generalization ability even in the absence of one gender in the training dataset. Conversely, stereotypical bias has a significantly stronger impact, primarily concentrated on the biased class, although it can also influence predictions for unbiased classes. These results highlight the need for a bias analysis that differentiates between types of bias, which is crucial for the development of effective bias mitigation strategies.Publication Embargo Twenty-five years of greedy bases(Elsevier, 2024-12-21) Albiac Alesanco, Fernando José; Ansorena, José L.; Temlyakov, Vladimir; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2Although the basic idea behind the concept of a greedy basis had been around for some time, the formal development of a theory of greedy bases was initiated in 1999 with the publication of the article [S.V. Konyagin and V.N. Temlyakov, A remark on greedy approximation in Banach spaces, East J. Approx. 5 (3) (1999), 365-379]. The theoretical simplicity of the thresholding greedy algorithm became a model for a procedure widely used in numerical applications and the subject of greedy bases evolved very rapidly from the point of view of approximation theory. The idea of studying greedy bases and related greedy algorithms attracted also the attention of researchers with a classical Banach space theory background. From the more abstract point of functional analysis, the theory of greedy bases and its derivates evolved very fast as many fundamental results were discovered and new ramifications branched out. Hundreds of papers on greedy-like bases and several monographs have been written since the appearance of the aforementioned foundational paper. After twenty-five years, the theory is very much alive and it continues to be a very active research topic both for functional analysts and for researchers interested in the applied nature of nonlinear approximation alike. This is why we believe it is a good moment to gather a selection of 25 open problems (one per year since 1999!) whose solution would contribute to advance the state of art of this beautiful topic.Publication Open Access Formación del profesorado de educación infantil en DUA. Claves pedagógicas(Concilium, 2024-10-15) Onoiu, Ana Gabriela; Belletich Ruiz, Olga; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Ciencias humanas y de la educación; Giza eta Hezkuntza ZientziakIntroducción: En España, la reforma de ley educativa LOMLOE (2020) ha prescrito el uso del enfoque DUA (Diseño Universal del Aprendizaje), como una herramienta clave para la inclusión educativa a partir de su uso en los procesos didácticos. En las distintas etapas, el profesorado busca su implementación, pero en Educación Infantil aparecen necesidades formativas del profesorado, tanto para comprender el enfoque DUA como para aprender a ajustar sus modelos a la etapa. Ese es el objetivo de este estudio: identificar las claves de valor y norma formativa del profesorado. Metodología: Siguiendo el método de la Ingeniería Didáctica, se aborda la primera fase de la misma con entrevistas al profesorado en activo y en formación inicial, así como un análisis de las propuestas formativas del gobierno de Navarra. Resultados: Los resultados obtenidos muestran que el nivel de formación en DUA del profesorado es limitado y que la oferta formativa oficial continua es insuficiente, lo que plantea desafíos para la viabilidad y operatividad del enfoque en la práctica educativa. Discusión: Centramos la discusión en determinar las claves pedagógicas formativas en términos de principios, valores y normas. Conclusiones: Una conclusión extraída es que la formación pedagógica y didáctica sobre DUA requiere la creación de herramientas de modelización y socialización de la experiencia de las propuestas exitosas DUA.Publication Open Access Mathematical processes for the development of algebraic reasoning in geometrical situations with in-service secondary school teachers(Modestum, 2024-12-11) Gaita, Rosa Cecilia; Wilhelmi, Miguel R.; Ugarte, Francisco Javier; Gonzales, Cintya Sherley; Estadística, Informática y Matemáticas; Estatistika, Informatika eta MatematikaThis paper starts from the hypothesis that algebraic reasoning can be used as an axis between different mathematical domains at school. This is relevant given the importance attributed to mathematical connections for curriculum development and the algebraic reasoning makes it possible to articulate it in a coherent manner. A definition of generalized algebraic reasoning is proposed, based on the notion of elementary algebraic reasoning of the onto-semiotic approach, and it is used to highlight the presence of typical algebraic processes in problem solving in geometrical contexts. To develop these ideas, a training course is designed and implemented with in-service secondary school teachers. Based on design-based research, the results obtained are contrasted with the expected answers. In this way, relevant information is obtained on how teachers mobilize different typically algebraic processes, that is, particularization-generalization, representation-signification, decomposition-reification and modelling. Actually, it is clear to affirm that teachers need specific training to improve their skills about how algebraic reasoning can help them to develop mathematical connections with their students.Publication Open Access Multijet event shape variables for Mueller-Navelet jet topologies(American Physical Society, 2024-12-18) Baldenegro, Cristian ; Chachamis, Grigorios; Kampshoff, Mats ; Klasen, Michael; Milhano, José Guilherme; Royon, Christophe; Sabio Vera, Agustin; Estadística, Informática y Matemáticas; Estatistika, Informatika eta MatematikaThis paper presents a new set of multijet event shape variables introduced to further understand the Mueller-Navelet jet topology. This topology consists of having at least one pair of jets with a very large rapidity separation between them, treating additional jet activity inclusively. This multijet topology is expected to shed light on the radiation pattern that is expected in the high-energy limit of the strong interaction. The paper relies on a Monte Carlo event generator analysis. One set of predictions uses the bfklex event generator, which is based on Balitsky-Fadin-Kuraev-Lipatov (BFKL) perturbative quantum chromodynamics (pQCD) evolution with a resummation of large logarithms of energy at leading-logarithmic accuracy. The bfklex predictions are compared with a fixed-order next-to-leading order pQCD calculation using powheg matched to the parton shower of pythia8 (NLO+PS), which is the standard for NLO generator predictions at the LHC. We find that both approaches lead to compatible results at current LHC energies, assuming the current experimental constraints for the reconstruction of low transverse momentum jets in ATLAS and CMS. This shows the reliability of the BFKL approach at describing the behavior of the strong interaction in the preasymptotic limit of high center-of-mass energies. Differences between the NLO+PS and the BFKL-based approaches are found when the jet multiplicity is increased or when the minimum transverse momentum of the jets is decreased.Publication Embargo A new approach to continuous assessment: moving from a stressful sum of grades to meaningful learning through self-reflection(Elsevier, 2024-11-01) Rodríguez Rincón, Yeray; Munárriz Iriarte, Ana; Magreñán Ruiz, Ángel Alberto; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Advanced Research in Business and Economics - INARBEThis paper proposes a new approach of continuous assessment of a formative nature, aimed at achieving meaningful learning with lower stress levels. This approach minimizes the punitive nature of traditional summative continuous assessment and replaces typical graded activities with self-reflecting ones. To conduct the formative evaluation, a teaching model has been developed to guide the choice of feedback and feed-forward strategies to be implemented by the instructors, depending on the students¿ levels of competence and confidence. To validate the effectiveness of this approach, a quasi-experimental design was employed, with the new continuous assessment method in the experimental group and the summative continuous assessment method in the control group. The experiment was conducted in a Mathematics course with undergraduate Economics and Business students. Data were collected through test scores and a perception questionnaire. The results indicate that the new evaluation method promotes meaningful learning and yields better academic results compared to the traditional continuous evaluation. Students expressed high satisfaction with the new approach, noting that it allows them to understand their formative status and address deficiencies before undertaking evaluable activities. They also believe this strategy helps reduce the stress associated with the summative evaluation itself.Publication Embargo Fuzzy dissimilarities and the fuzzy choquet integral of triangular fuzzy numbers on [0,1](Elsevier, 2025-04-01) Roldán López de Hierro, Antonio Francisco; Cruz, Anderson; Santiago, Regivan Hugo Nunes; Roldán, Concepción; García-Zamora, Diego; Neres, Fernando; Bustince Sola, Humberto; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute of Smart Cities - ISCHaving in mind the huge amount of data daily registered in the world, it is becoming increasingly important to summarize the information included in a data set. In Statistics and Computer Science, this task is successfully carried out by aggregation functions. One of the most widely applied methodologies of aggregating data is the Choquet integral. The main aim of this paper is to introduce an appropriate notion of Choquet integral in the context of fuzzy numbers. To do this, we face three challenges: the underlying uncertainty when handling fuzzy numbers, the way to order fuzzy numbers by appropriate binary relations and the way to compute the dissimilarity among fuzzy numbers. Illustrative examples are given by involving the α-order on the family of all triangular fuzzy numbers with support on [0,1].