Academic literature on the topic 'Dirichlet environments'

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Journal articles on the topic "Dirichlet environments"

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Man, Jun Feng, Hai Yu Lin, Qian Qian Li, and Xiang Bing Wen. "Segmentation and Tracking of Human in Crowded Environments." Advanced Materials Research 255-260 (May 2011): 2281–85. http://dx.doi.org/10.4028/www.scientific.net/amr.255-260.2281.

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The occlusion problem in crowded people environment makes human segmentation and tracking more difficult in video surveillance. Thus, a human segmentation method combing human model with body edge curve is presented. Because segmentation may result in serious defect and distortion, robust BP neural network model is adopted as tracking mode. For improving autonomous learning ability of BP network, Hierarchical Dirichlet Process (HDP) is used to decide whether new types of human body characteristic data is generated, which provides decision basis for BP network learning. The simulation experiments confirm that the method presented in this paper can effectively solve the problem of partial human body occlusion. Meanwhile, this method has unique advantage of simplicity and real-time over others.
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Petitgirard, Julien, Tony Piguet, Philippe Baucour, Didier Chamagne, Eric Fouillien, and Jean-Christophe Delmare. "Steady State and 2D Thermal Equivalence Circuit for Winding Heads—A New Modelling Approach." Mathematical and Computational Applications 25, no. 4 (October 18, 2020): 70. http://dx.doi.org/10.3390/mca25040070.

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The study concerns the winding head thermal design of electrical machines in difficult thermal environments. The new approach is adapted for all basic shapes and solves the thermal behaviour of a random wire layout. The model uses the nodal method but does not use the common homogenization method for the winding slot. The layout impact can be precisely studied to find different hotspots. To achieve this a Delaunay triangulation provides the thermal links between adjoining wires in the slot. Voronoï tessellation gives a cutting to estimate thermal conductance between adjoining wires. This thermal behaviour is simulated in cell cutting and it is simplified with the thermal bridge notion to obtain a simple solving of these thermal conductances. The boundaries are imposed on the slot borders with Dirichlet condition. Then solving with many Dirichlet conditions is described. Some results show different possible applications with rectangular and round shapes, one ore many boundaries, different limit condition values and different layouts. The model can be integrated into a larger model that represents the stator to have best results.
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Ahmad, Bashir, and Juan J. Nieto. "Solvability of Nonlinear Langevin Equation Involving Two Fractional Orders with Dirichlet Boundary Conditions." International Journal of Differential Equations 2010 (2010): 1–10. http://dx.doi.org/10.1155/2010/649486.

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We study a Dirichlet boundary value problem for Langevin equation involving two fractional orders. Langevin equation has been widely used to describe the evolution of physical phenomena in fluctuating environments. However, ordinary Langevin equation does not provide the correct description of the dynamics for systems in complex media. In order to overcome this problem and describe dynamical processes in a fractal medium, numerous generalizations of Langevin equation have been proposed. One such generalization replaces the ordinary derivative by a fractional derivative in the Langevin equation. This gives rise to the fractional Langevin equation with a single index. Recently, a new type of Langevin equation with two different fractional orders has been introduced which provides a more flexible model for fractal processes as compared with the usual one characterized by a single index. The contraction mapping principle and Krasnoselskii's fixed point theorem are applied to prove the existence of solutions of the problem in a Banach space.
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Zhang, Kai, Ming Li, and Jingzhi Li. "Estimation of Impacts of Removing Arbitrarily Constrained Domain Details to the Analysis of Incompressible Fluid Flows." Communications in Computational Physics 20, no. 4 (October 2016): 944–68. http://dx.doi.org/10.4208/cicp.071015.050216a.

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AbstractRemoving geometric details from the computational domain can significantly reduce the complexity of downstream task of meshing and simulation computation, and increase their stability. Proper estimation of the sensitivity analysis error induced by removing such domain details, called defeaturing errors, can ensure that the sensitivity analysis fidelity can still be met after simplification. In this paper, estimation of impacts of removing arbitrarily constrained domain details to the analysis of incompressible fluid flows is studied with applications to fast analysis of incompressible fluid flows in complex environments. The derived error estimator is applicable to geometric details constrained by either Dirichlet or Neumann boundary conditions, and has no special requirements on the outer boundary conditions. Extensive numerical examples were presented to demonstrate the effectiveness and efficiency of the proposed error estimator.
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Gurcan, Fatih, Ozcan Ozyurt, and Nergiz Ercil Cagitay. "Investigation of Emerging Trends in the E-Learning Field Using Latent Dirichlet Allocation." International Review of Research in Open and Distributed Learning 22, no. 2 (January 14, 2021): 1–18. http://dx.doi.org/10.19173/irrodl.v22i2.5358.

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E-learning studies are becoming very important today as they provide alternatives and support to all types of teaching and learning programs. The effect of the COVID-19 pandemic on educational systems has further increased the significance of e-learning. Accordingly, gaining a full understanding of the general topics and trends in e-learning studies is critical for a deeper comprehension of the field. There are many studies that provide such a picture of the e-learning field, but the limitation is that they do not examine the field as a whole. This study aimed to investigate the emerging trends in the e-learning field by implementing a topic modeling analysis based on latent Dirichlet allocation (LDA) on 41,925 peer-reviewed journal articles published between 2000 and 2019. The analysis revealed 16 topics reflecting emerging trends and developments in the e-learning field. Among these, the topics “MOOC,” “learning assessment,” and “e-learning systems” were found to be key topics in the field, with a consistently high volume. In addition, the topics of “learning algorithms,” “learning factors,” and “adaptive learning” were observed to have the highest overall acceleration, with the first two identified as having a higher acceleration in recent years. Going by these results, it is concluded that the next decade of e-learning studies will focus on learning factors and algorithms, which will possibly create a baseline for more individualized and adaptive mobile platforms. In other words, after a certain maturity level is reached by better understanding the learning process through these identified learning factors and algorithms, the next generation of e-learning systems will be built on individualized and adaptive learning environments. These insights could be useful for e-learning communities to improve their research efforts and their applications in the field accordingly.
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Abrashina-Zhadaeva, N., and N. Romanova. "Vector Additive Decomposition for 2D Fractional Diffusion Equation." Nonlinear Analysis: Modelling and Control 13, no. 2 (April 25, 2008): 137–43. http://dx.doi.org/10.15388/na.2008.13.2.14574.

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Such physical processes as the diffusion in the environments with fractal geometry and the particles’ subdiffusion lead to the initial value problems for the nonlocal fractional order partial differential equations. These equations are the generalization of the classical integer order differential equations. An analytical solution for fractional order differential equation with the constant coefficients is obtained in [1] by using Laplace-Fourier transform. However, nowadays many of the practical problems are described by the models with variable coefficients. In this paper we discuss the numerical vector decomposition model which is based on a shifted version of usual Gr¨unwald finite-difference approximation [2] for the non-local fractional order operators. We prove the unconditional stability of the method for the fractional diffusion equation with Dirichlet boundary conditions. Moreover, a numerical example using a finite difference algorithm for 2D fractional order partial differential equations is also presented and compared with the exact analytical solution.
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Anedda, Claudia, and Fabrizio Cuccu. "Optimal location of resources and Steiner symmetry in a population dynamics model in heterogeneous environments." Annales Fennici Mathematici 47, no. 1 (January 13, 2022): 305–24. http://dx.doi.org/10.54330/afm.113547.

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The subject of this paper is inspired by Cantrell and Cosner (1989) and Cosner, Cuccu and Porru (2013). Cantrell and Cosner (1989) investigate the dynamics of a population in heterogeneous environments by means of diffusive logistic equations. An important part of their study consists in finding sufficient conditions which guarantee the survival of the species. Mathematically, this task leads to the weighted eigenvalue problem \(-\Delta u =\lambda m u \) in a bounded smooth domain \(\Omega\subset \mathbb{R}^N\), \(N\geq 1\), under homogeneous Dirichlet boundary conditions, where \(\lambda \in \mathbb{R}\) and \(m\in L^\infty(\Omega)\). The domain \(\Omega\) represents the environment and \(m(x)\), called the local growth rate, says where the favourable and unfavourable habitats are located. Then, Cantrell and Cosner (1989) consider a class of weights \(m(x)\) corresponding to environments where the total sizes of favourable and unfavourable habitats are fixed, but their spatial arrangement is allowed to change; they determine the best choice among them for the population to survive. In our work we consider a sort of refinement of the result above. We write the weight \(m(x)\) as sum of two (or more) terms, i.e. \(m(x)=f_1(x)+f_2(x)\), where \(f_1(x)\) and \(f_2(x)\) represent the spatial densities of the two resources which contribute to form the local growth rate \(m(x)\). Then, we fix the total size of each resource allowing its spatial location to vary. As our first main result, we show that there exists an optimal choice of \(f_1(x)\) and \(f_2(x)\) and find the form of the optimizers. Our proof relies on some results in Cosner, Cuccu and Porru (2013) and on a new property (to our knowledge) about the classes of rearrangements of functions. Moreover, we show that if \(\Omega\) is Steiner symmetric, then the best arrangement of the resources inherits the same kind of symmetry. (Actually, this is proved in the more general context of the classes of rearrangements of measurable functions.
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Lindgren, Charlie, Asif M. Huq, and Kenneth Carling. "Who Are the Intended Users of CSR Reports? Insights from a Data-Driven Approach." Sustainability 13, no. 3 (January 21, 2021): 1070. http://dx.doi.org/10.3390/su13031070.

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There is extant research on theorization, conceptualization, determinants, and consequences of corporate social responsibility (CSR). However, what firms include in their CSR or sustainability reports are much less covered and are predominantly covered in case studies of individual firms. In this paper, we instead take a holistic view and simultaneously explore what firms around the globe currently disclose in these reports, more specifically we investigate if firms are shareholder or stakeholder focused. In this investigation, we check the alignment of the reports to the materiality framework of Sustainability Accounting Standards Board (SASB) which was developed having shareholders as the intended user. To estimate what firms disclose in CSR reports we used the unsupervised Bayesian machine learning approach latent Dirichlet allocation (LDA) developed by Blei et al. We conclude that firms target shareholders as the intended users of these reports, even in environments where stakeholder approach of management is argued to be more dominant. Methodologically, we contribute by demonstrating that topic modeling can enhance the objectivity in reviewing CSR-reports.
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Alahmari, Nala, Sarah Alswedani, Ahmed Alzahrani, Iyad Katib, Aiiad Albeshri, and Rashid Mehmood. "Musawah: A Data-Driven AI Approach and Tool to Co-Create Healthcare Services with a Case Study on Cancer Disease in Saudi Arabia." Sustainability 14, no. 6 (March 11, 2022): 3313. http://dx.doi.org/10.3390/su14063313.

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The sustainability of human existence is in dire danger and this threat applies to our environment, societies, and economies. Smartization of cities and societies has the potential to unite individuals and nations towards sustainability as it requires engaging with our environments, analyzing them, and making sustainable decisions regulated by triple bottom line (TBL). Poor healthcare systems affect individuals, societies, the planet, and economies. This paper proposes a data-driven artificial intelligence (AI) based approach called Musawah to automatically discover healthcare services that can be developed or co-created by various stakeholders using social media analysis. The case study focuses on cancer disease in Saudi Arabia using Twitter data in the Arabic language. Specifically, we discover 17 services using machine learning from Twitter data using the Latent Dirichlet Allocation algorithm (LDA) and group them into five macro-services, namely, Prevention, Treatment, Psychological Support, Socioeconomic Sustainability, and Information Availability. Subsequently, we show the possibility of finding additional services by employing a topical search over the dataset and have discovered 42 additional services. We developed a software tool from scratch for this work that implements a complete machine learning pipeline using a dataset containing over 1.35 million tweets we curated during September–November 2021. Open service and value healthcare systems based on freely available information can revolutionize healthcare in manners similar to the open-source revolution by using information made available by the public, the government, third and fourth sectors, or others, allowing new forms of preventions, cures, treatments, and support structures.
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Sabot, Christophe, and Laurent Tournier. "Reversed Dirichlet environment and directional transience of random walks in Dirichlet environment." Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 47, no. 1 (February 2011): 1–8. http://dx.doi.org/10.1214/09-aihp344.

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Dissertations / Theses on the topic "Dirichlet environments"

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Tournier, Laurent. "Quelques contributions à l'étude des marches aléatoires en milieu aléatoire." Phd thesis, Université Claude Bernard - Lyon I, 2010. http://tel.archives-ouvertes.fr/tel-00497150.

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Les marches aléatoires en milieu aléatoire ont suscité un vif intérêt au cours de ces dernières années, tant en sciences appliquées, comme moyen notamment d'affiner des modèles par une prise en compte des fluctuations de l'environnement, qu'en mathématiques, de par la multiplicité et la richesse des comportements qu'elles présentent. Cette thèse est dédiée à l'étude de divers aspects de la transience des marches aléatoires en milieu aléatoire. Elle est composée de deux parties, la première consacrée au cas des environnements de Dirichlet sur Z^d, la seconde au régime transient sous-diffusif sur Z. La loi de Dirichlet apparaît naturellement du fait de son lien avec les marches renforcées. Certaines de ses spécificités permettent de plus d'obtenir des résultats sensiblement plus précis qu'en général. On démontre ainsi tout d'abord une caractérisation de l'intégrabilité des temps de sortie de parties finies de graphes quelconques, qui permet de raffiner un critère de balisticité dans Z^d. On prouve également que les marches aléatoires en environnement de Dirichlet sont transientes directionnellement, avec probabilité positive, dès que les paramètres ne sont pas symétriques. En dimension 1, la thèse se focalise sur le rôle des vallées profondes de l'environnement, en fournissant une nouvelle preuve du théorème de Kesten-Kozlov-Spitzer dans le cas sous-diffusif basée sur l'étude fine du comportement de la marche. Outre une meilleure compréhension de l'émergence de la loi limite, cette preuve a l'avantage de fournir la valeur explicite de ses paramètres.
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Bouchet, Élodie. "Marches aléatoires en environnement aléatoire faiblement elliptique." Phd thesis, Université Claude Bernard - Lyon I, 2014. http://tel.archives-ouvertes.fr/tel-01057100.

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Cette thèse est dédiée à l'étude des marches aléatoires en milieu aléatoire sur Zd. On s'intéresse tout particulièrement aux environnements qui sont elliptiques, mais pas uniformément elliptiques, et qui peuvent donc contenir des pièges sur lesquels la marche passe beaucoup de temps. Le premier résultat de cette thèse (chapitre 4) concerne les environnements de Dirichlet, qui forment une sous-classe de marches aléatoires en milieu aléatoire présentant des propriétés remarquables. On se place en dimension d≥ 3 et on étudie le cas où les pièges dus à la non-uniforme ellipticité sont prépondérants. Dans ce contexte, on montre l'équivalence des points de vue statique et dynamique pour une marche accélérée. Ceci permet de compléter les résultats de transience et récurrence directionnelles obtenus par Sabot, et de donner le degré polynomial de l'éloignement de la marche par rapport à l'origine dans le cas sous-balistique et transient. On se place ensuite (chapitre 5) dans le cas des marches transientes dans une direction, et on étudie les conditions sur la loi de l'environnement nécessaires pour assurer l'existence de moments pour les temps de renouvellement. On améliore ainsi les résultats obtenus par Campos et Ramírez. Dans la dernière partie (chapitre 6), on étudie les conditions d'application du théorème central limite quenched dans le cas des marches aléatoires balistiques. Sous la condition supplémentaire (T), on affaiblit les hypothèses sur l'intégrabilité des temps de renouvellement des travaux de Rassoul-Agha et Seppäläinen et de Berger et Zeitouni : on arrive à la condition E (τ12+ε) < +∞ (pour le théorème annealed la condition optimale est E (τ12) < +∞)
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Ba, Moustapha. "Principe d'invariance individuel pour une diffusion dans un environnement périodique." Thesis, Aix-Marseille, 2014. http://www.theses.fr/2014AIXM4724/document.

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Nous montrons ici, en utilisant les méthodes de l'analyse stochastique, le principe d'invariance pour des diffusion sur $\mathbb{R} ^{d},d\geq 2$, en milieu périodique au delà des hypothèses d'uniforme ellipticité et au delà des hypothèses de régularité sur le potentiel. La théorie du calcul stochastique pour les processus associés aux formes de Dirichlet est largement utilisée pour justifier l'existence du processus de Markov à temps continus, défini pour presque tout point de départ sur $\mathbb{R} ^{d}$. Pour la preuve du principe d'invariance, nous montrons une nouvelle inégalité de type Sobolev avec des poids différents, qui nous permet de déduire l'existence et la bornitude d'une densité de la probabilité de transition associée au processus de Markov. Cette inégalité, est l'outil principal de ce travail. La preuve fera appel à des techniques d'analyse harmonique. Enfin, le chapitre 3 contient le résultat principal du travail de la thèse : le principe d'invariance qui veut dire que la suite de processus $(_{\varepsilon }X_{t\varepsilon ^{-2}})$ converge en loi quand $\varepsilon$ tend vers zéro vers un mouvement Brownien. Notre stratégie suit quelques étapes classiques : nous nous appuyons sur la construction de ce qu'on appelle ici correcteur. Afin de contrôler le correcteur, et aussi pour montrer son existence, nous nous appuyons sur l'inégalité de Sobolev. Le resultat est obenu seulement avec les hypothèses, le potentiel $V$ est périodique et satisfait: $e^{V}+e^{-V}$ locallement dans $L^{1}\left( \mathbb{R} ^{d};dx\right)$ ou $dx$ est la mesure de Lebesgue
We prove here, using stochastic analysis methods, the invariance principle for a $\mathbb{R} ^{d}$ diffusions $d\geq 2$, in a periodic potential beyond uniform boundedness assumptions of potential. The potential is not assumed to have any regularity. So the stochastic calculus theory for processes associated to Dirichlet forms is used to justify the existence of a continuous Markov process starting from almost all $x\in \mathbb{R} ^{d}$ and denoted by $\left( X_{t},t>0\right)$ (cf chapter 1). In chapter 2, we prove a new Sobolev inequality with different weights by using some materials in harmonic analysis. In chapter 3, we prove the main result (Theorem 1) of this work: the invariance principle. Our strategy for proving Theorem 1 follows some classical steps: we rely on the construction of the so-called corrector. In order to control the corrector, and actually also in order to show its existence, we rely on the Sobolev inequality. All the work is done under the following hypothesis: the potential $V$ is periodic and satisfies $e^{V}+e^{-V}$ are locally in $L^{1}\left( \mathbb{R} ^{d};dx\right)$ where $dx$ is the Lebesgue measure
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Book chapters on the topic "Dirichlet environments"

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Gooya, Ali, Elaheh Mousavi, Christos Davatzikos, and Hongen Liao. "A Bayesian Approach for Construction of Sparse Statistical Shape Models Using Dirichlet Distribution." In Augmented Reality Environments for Medical Imaging and Computer-Assisted Interventions, 144–52. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-40843-4_16.

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Roger, Vincent, Marius Bartcus, Faicel Chamroukhi, and Hervé Glotin. "Unsupervised Bioacoustic Segmentation by Hierarchical Dirichlet Process Hidden Markov Model." In Multimedia Tools and Applications for Environmental & Biodiversity Informatics, 113–30. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76445-0_7.

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Deepak, N. A., and N. S. Shobha. "Analysis of Learner’s Behavior Using Latent Dirichlet Allocation in Online Learning Environment." In Computational Methods and Data Engineering, 231–42. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-7907-3_18.

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Hori, Kennichiro, Ibuki Yoshida, Miki Suzuki, Zhu Yiwen, and Yohei Kurata. "Emergence and Rapid Popularization of Paid Web-Conferencing-Application-Based Tours in Japan: An Analysis of Their Business Potential." In Information and Communication Technologies in Tourism 2022, 41–54. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-94751-4_4.

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AbstractFollowing the emergence of COVID-19 pandemic, people in Japan were asked to refrain from traveling, resulting in various companies coming up with new ways of experiencing tourism. Among them, the online tourism experience of H.I.S. Co., Ltd. (HIS) drew more than 100,000 participants as of August 29, 2021. In this study, we focused on an online tour where the host goes to the site and records real time communication using a web conference application. The destinations of online tours were analyzed through text mining, and the characteristics of online tours were analyzed using Latent Dirichlet Allocation (LDA) of topic models. The results show that the number of online tours is weakly negatively correlated with distance and time differences. From the topic model, it is evident that the guide is important in online tours. In addition, the sense of presence, communication environment, and images, which are considered to be unique topics in online tours, are also relevant to the evaluation.
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Koltai, Júlia, Zoltán Kmetty, and Károly Bozsonyi. "From Durkheim to Machine Learning: Finding the Relevant Sociological Content in Depression and Suicide-Related Social Media Discourses." In Pathways Between Social Science and Computational Social Science, 237–58. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-54936-7_11.

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AbstractThe phenomenon of suicide has been a focal point since Durkheim among social scientists. Internet and social media sites provide new ways for people to express their positive feelings, but they are also platforms to express suicide ideation or depressed thoughts. Most of these posts are not about real suicide, and some of them are a cry for help. Nevertheless, suicide- and depression-related content varies among platforms, and it is not evident how a researcher can find these materials in mass data of social media. Our paper uses the corpus of more than four million Instagram posts, related to mental health problems. After defining the initial corpus, we present two different strategies to find the relevant sociological content in the noisy environment of social media. The first approach starts with a topic modeling (Latent Dirichlet Allocation), the output of which serves as the basis of a supervised classification method based on advanced machine-learning techniques. The other strategy is built on an artificial neural network-based word embedding language model. Based on our results, the combination of topic modeling and neural network word embedding methods seems to be a promising way to find the research related content in a large digital corpus.Our research can provide added value in the detection of possible self-harm events. With the utilization of complex techniques (such as topic modeling and word embedding methods), it is possible to identify the most problematic posts and most vulnerable users.
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Trappey, A. J. C., C. V. Trappey, R. R. T. Kuo, and A. P. C. Lin. "Patent Portfolio Analysis Related to Advanced VR Technologies and Applications for Treating Driving Phobia." In Advances in Transdisciplinary Engineering. IOS Press, 2021. http://dx.doi.org/10.3233/atde210131.

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Virtual reality technology enables people to interact with objects in three-dimensional simulated environments. The technology has been applied in many fields such as entertainment, education, and healthcare. Health treatment applications include psycho therapeutical treatments for post-traumatic stress disorders related to driving phobias. Patents that have been filed for treating patients diagnosed with driving phobias are searched and collected using global patent platforms including Derwent Innovation’s solution. Patent analytic methods, including clustering, key term frequency analysis, correlation matrix creation, Latent Dirichlet Allocation (LDA), and technology function matrix mapping, are applied to analyze the patent portfolio and identify key technology development trends. The research goal is to identify patent strategies related to driving-related virtual reality psychotherapy treatment. The research identifies six technology clusters, including virtual reality technologies, vehicle driving simulations, diagnosis of driving phobia through bio-signal analysis, and artificial intelligence for health systems. Based on the cluster analysis, virtual reality related patents are increasing over the last decade. A lesser number of patents focus on virtual reality technology that includes exposure therapy for driving phobia treatment. The patent mining results show that virtual reality exposure therapy for driving phobias is still in the growth stage. There is a research gap for new treatments for driving phobias and other phobias such as post-traumatic stress disorder, which have great potential for transdisciplinary engineering research.
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Ihianle, Isibor Kennedy, Syed Islam, Usman Naeem, and Solomon Henry Ebenuwa. "Exploiting Patterns of Object Use for Human Activity Recognition." In Handbook of Research on 5G Networks and Advancements in Computing, Electronics, and Electrical Engineering, 382–401. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-6992-4.ch015.

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The accurate recognition of activities of daily living (ADL) is fundamental in the support and provision of assistance for the elderly and cognitively impaired. Current ontology-based techniques and knowledge-driven model object concepts form assumptions and everyday knowledge of objects used for activities. Activities modelled from assumptions and everyday knowledge can lead to incorrect recognition results of routine activities and possible failure to detect abnormal activity trends. A significant step to the accurate recognition of activities of daily living is the discovery of the object usage for specific routine activities. This chapter presents an approach that discovers object usage for routine activities using latent Dirichlet allocation (LDA) topic modelling. The object usage discovery augments an activity ontology that enables recognition of simple activities of daily living in the home environment. The proposed approach is evaluated and validated using the Kasteren and Ordonez datasets.
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Conference papers on the topic "Dirichlet environments"

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Wang, Ruohui, and Dahua Lin. "Scalable Estimation of Dirichlet Process Mixture Models on Distributed Data." In Twenty-Sixth International Joint Conference on Artificial Intelligence. California: International Joint Conferences on Artificial Intelligence Organization, 2017. http://dx.doi.org/10.24963/ijcai.2017/646.

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We consider the estimation of Dirichlet Process Mixture Models (DPMMs) in distributed environments, where data are distributed across multiple computing nodes. A key advantage of Bayesian nonparametric models such as DPMMs is that they allow new components to be introduced on the fly as needed. This, however, posts an important challenge to distributed estimation -- how to handle new components efficiently and consistently. To tackle this problem, we propose a new estimation method, which allows new components to be created locally in individual computing nodes. Components corresponding to the same cluster will be identified and merged via a probabilistic consolidation scheme. In this way, we can maintain the consistency of estimation with very low communication cost. Experiments on large real-world data sets show that the proposed method can achieve high scalability in distributed and asynchronous environments without compromising the mixing performance.
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Lim, Sunghoon, Conrad S. Tucker, Kathryn Jablokow, and Bart Pursel. "Quantifying the Mismatch Between Course Content and Students’ Dialogue in Online Learning Environments." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67339.

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Due to the internet’s increasing global availability, online learning has become a new paradigm for distance learning in higher education. While student interactions and reactions are readily observable in a physical classroom environment, monitoring student interactions and quantifying divergence between lecture topics and the topics that interest students are challenging in online learning platforms. Understanding the effects of this divergence is important for monitoring student engagement and aiding instructors, who are focused on improving the quality of their online courses. The authors of this paper propose a topic modeling method, based on latent Dirichlet allocation (LDA), that quantifies the effects of divergence between course topics (mined from textual transcriptions) and student-discussed topics (mined from discussion forums). Correlations between the measured dissimilarities and (a) the number of posts and comments in discussion forums, (b) the number of submitted assignments, and (c) students’ average performance scores are presented. A case study involving video lecture transcripts and discussion forum posts/comments in a massive open online course (MOOC) platform demonstrates the proposed method’s potential success and informs course providers about the challenges of measuring the topics that interest students.
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Zarra, Taoufiq, Raddouane Chiheb, Rdouan Faizi, and Abdellatif El Afia. "MOOCs' Recommendation Based on Forum Latent Dirichlet Allocation." In ICSDE'18: International Conference on Smart Digital Environment. New York, NY, USA: ACM, 2018. http://dx.doi.org/10.1145/3289100.3289115.

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Qomariyah, Siti, Nur Iriawan, and Kartika Fithriasari. "Topic modeling Twitter data using Latent Dirichlet Allocation and Latent Semantic Analysis." In THE 2ND INTERNATIONAL CONFERENCE ON SCIENCE, MATHEMATICS, ENVIRONMENT, AND EDUCATION. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5139825.

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Fang, Shaomei, Wenjie Huang, Changping Xie, Yingshu Zhanga, Jinyan Li, and Zhenfu Cai. "Implicit Finite Difference Method for Fractional Wave Equation with Dirichlet and Fractional Boundary Conditions." In 2018 7th International Conference on Energy and Environmental Protection (ICEEP 2018). Paris, France: Atlantis Press, 2018. http://dx.doi.org/10.2991/iceep-18.2018.1.

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Tang, Ming-gang, Jun Yan, and Ye Wang. "Collapse Estimation of Interlocked Armour of Flexible Pipe With Strain Energy Equivalence." In ASME 2012 31st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/omae2012-83705.

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Deepwater environment brings unbonded flexible pipelines with collapse risk of interlocked armours, such as pressure armour and carcass. An effective and accurate prediction for collapse is required in design process. This paper presents a theoretical approach for estimating collapse of the interlocked armours based on strain energy equivalence principle of representative volume method. The strain energy with Dirichlet boundary is calculated using FEA software for the armours, which usually have complex cross-section. Meanwhile, an equivalent ring model is established as the representative volume, of which strain energy is acquired analytically. Equivalent thickness can be obtained by equivalence of both the two energys. And then the resistance to collapse of the flexible pipe can be carried out directly. Theoretical results from the approach presented in the paper are compared with numerical results proved by experimental ones from reference, which verifies the equivalence approach. This approach provides a new angle to process parametric design for critical collapse of the flexible pipe.
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Zhao, Yuan, and Deborah Thurston. "Incorporating Heterogeneous Customer Preferences With Dirichlet Process Mixture Model for Product Positioning in Environmentally Conscious Design." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-71161.

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Increased environmental protection legislation forces manufacturers to employ environmentally conscious design and manufacturing methods. In addition, customer preferences for energy efficient and environmentally sustainable products influence manufacturers design strategies. In order to influence customer buying behaviors for environmentally friendly products, manufacturers need to understand customer preferences first. Manufacturers can make optimal design decisions based on inference on customers’ decision making models. It is recognized that consumers are heterogeneous in their response to different attributes for any given type of product or service. In this paper, we proposed a framework for incorporating heterogeneous customer preferences with Dirichlet Process mixture model for product positioning in environmentally conscious design. The uncertainty about the functional form of the customer preference distribution can be expressed by using a nonparametric prior, in which the number of clusters grows without bound as the amount of data grows. An automobile design case study is used here to demonstrate the proposed approach.
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Ianculescu, Cristian, and Lonny L. Thompson. "Parallel Iterative Finite Element Solution Methods for Three-Dimensional Acoustic Scattering." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-55266.

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Efficient and scalable parallel solution methods are presented for three-dimensional acoustic scattering problems on unbounded domains. A separable boundary is applied at an arbitrary distance from the scatterer, to define a finite computational domain, and thus enable application of the Finite Element Method (FEM). A modified non-reflecting Dirichlet-to-Neumann (DtN) boundary condition is applied along the truncation boundary, in the form of local second-order differential operators, and a harmonic series. For elongated scatterers (e.g. a submarine or ship), suitable finite element formulations are derived and implemented on spheroidal coordinates, reducing the size of computational domain without affecting the accuracy of the numerical solution. The outer-product structure of the DtN boundary operator is exploited to efficiently handle non-locality in an iterative process. Computational performance of the DtN condition is analyzed and shown to be significantly more cost-effective when compared with local boundary conditions producing similar accuracy. The effective use of non-local DtN conditions in a 32-processor parallel distributed memory environment is demonstrated for a three-dimensional submarine scatterer. By exploiting the outer-product structure, it is shown that communication costs due to non-locality depend only on a small number of harmonics in the DtN operator, and thus have little impact on the scalability of the solution on multiple processors.
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Bouassida, H., N. Biboulet, P. Sainsot, and A. A. Lubrecht. "Piston Ring Load Carrying Capacity: Influence of Cross-Hatching Parameters." In ASME/STLE 2012 International Joint Tribology Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/ijtc2012-61033.

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Energy and environment are of major concern in internal combustion engine component design. The piston ring-cylinder liner (PRCL) contact plays an essential part in design and is highlighted in this study. In fact, the rings ensure the sealing property, reducing the environmental impact by avoiding lubricant contamination (blow-by) and lubricant consumption. Unfortunately, when sealing, the rings generate between 11 to 24% of the friction losses in an internal combustion engine [1], thus reducing the energy efficiency of the engine. The cylinder liner surface features a special micro-geometry, a classical one is the cross-hatching pattern, obtained by honing. This texturing acts as a micro-bearing, oil reservoir and debris trap. Understanding the influence of texture parameters as groove depth and width or angle, will allow tribological improvements of the PRCL contact. The 2D transient Reynolds equation has to be solved for this kind of surface. The statistical method using the Patir and Cheng [2] flow factors is widely used. This approach lumps the different components of the surface (grooves and plateaux) and does not consider the roughness directionality. Methods decoupling both components, like the homogenization method [3] are also used. Another alternative is to use a deterministic model on measured surfaces, but this is a “hugely” expensive approach. Multigrid methods [4] are used to drastically reduce the calculational cost. The aim of the current study is to facilitate the understanding of measured surface calculations. Hence, analytical surfaces are used. They allow a flexible handling of the cross-hatching parameters. The plateaux are perfectly smooth and the grooves are sinusoidally shaped. The top ring is modelled using a parabolic profile. Periodic boundary conditions are used in the orthoradial direction and zero pressure conditions (Dirichlet) in the axial direction. To investigate the effect of different parameters, various imposed film thicknesses are applied and the mean load carrying capacity (LCC) over time is calculated. When representing the LCC corresponding to each parameter compared to the smooth LCC, as a function of the logarithm of the minimum film thickness, the curves are quite linear for small values of the film thickness and then for larger values they converge to 1.
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