Learning from Geometry

Subspaces and manifolds are two powerful models for high dimensional signals. Subspaces model linear correlation and are a good fit to signals generated by physical systems, such as frontal images of human faces and multiple sources impinging at an antenna array. Manifolds model sources that are not linearly correlated, but where signals are determined by a small number of parameters. Examples are images of human faces under different poses or expressions, and handwritten digits with varying styles. However, there will always be some degree of model mismatch between the subspace or manifold model and the true statistics of the source. This dissertation exploits subspace and manifold models as prior information in various signal processing and machine learning tasks.

A near-low-rank Gaussian mixture model measures proximity to a union of linear or affine subspaces. This simple model can effectively capture the signal distribution when each class is near a subspace. This dissertation studies how the pairwise geometry between these subspaces affects classification performance. When model mismatch is vanishingly small, the probability of misclassification is determined by the product of the sines of the principal angles between subspaces. When the model mismatch is more significant, the probability of misclassification is determined by the sum of the squares of the sines of the principal angles. Reliability of classification is derived in terms of the distribution of signal energy across principal vectors. Larger principal angles lead to smaller classification error, motivating a linear transform that optimizes principal angles. This linear transformation, termed TRAIT, also preserves some specific features in each class, being complementary to a recently developed Low Rank Transform (LRT). Moreover, when the model mismatch is more significant, TRAIT shows superior performance compared to LRT.

The manifold model enforces a constraint on the freedom of data variation. Learning features that are robust to data variation is very important, especially when the size of the training set is small. A learning machine with large numbers of parameters, e.g., deep neural network, can well describe a very complicated data distribution. However, it is also more likely to be sensitive to small perturbations of the data, and to suffer from suffer from degraded performance when generalizing to unseen (test) data.

From the perspective of complexity of function classes, such a learning machine has a huge capacity (complexity), which tends to overfit. The manifold model provides us with a way of regularizing the learning machine, so as to reduce the generalization error, therefore mitigate overfiting. Two different overfiting-preventing approaches are proposed, one from the perspective of data variation, the other from capacity/complexity control. In the first approach, the learning machine is encouraged to make decisions that vary smoothly for data points in local neighborhoods on the manifold. In the second approach, a graph adjacency matrix is derived for the manifold, and the learned features are encouraged to be aligned with the principal components of this adjacency matrix. Experimental results on benchmark datasets are demonstrated, showing an obvious advantage of the proposed approaches when the training set is small.

Stochastic optimization makes it possible to track a slowly varying subspace underlying streaming data. By approximating local neighborhoods using affine subspaces, a slowly varying manifold can be efficiently tracked as well, even with corrupted and noisy data. The more the local neighborhoods, the better the approximation, but the higher the computational complexity. A multiscale approximation scheme is proposed, where the local approximating subspaces are organized in a tree structure. Splitting and merging of the tree nodes then allows efficient control of the number of neighbourhoods. Deviation (of each datum) from the learned model is estimated, yielding a series of statistics for anomaly detection. This framework extends the classical {\em changepoint detection} technique, which only works for one dimensional signals. Simulations and experiments highlight the robustness and efficacy of the proposed approach in detecting an abrupt change in an otherwise slowly varying low-dimensional manifold.

Effects of Altered Prenatal Sensory Stimulation on Postnatal Contingency Learning in Bobwhite Quail Neonates (Colinus Virginianus)

Preterm infants are exposed to high levels of modified early sensory experience in the Neonatal Intensive Care Unit (NICU). Reports that preterm infants show deficits in contingency detection and learning when compared to full-term infants (Gekoski, Fagen, & Pearlman, 1984; Haley, Weinberg, & Grunau, 2006) suggest that their exposure to atypical amounts or types of sensory stimulation might contribute to deficits in these critical skills. Experimental modifications of sensory experience are severely limited with human fetuses and preterm infants, and previous studies with precocial bird embryos that develop in ovo have proven useful to assess the effects of modified perinatal sensory experience on subsequent perceptual and cognitive development. In the current study, I assessed whether increasing amounts of prenatal auditory or visual stimulation can interfere with quail neonates’ contingency detection and contingency learning in the days following hatching. Results revealed that augmented prenatal visual stimulation prior to hatching does not disrupt the ability of bobwhite chicks to recognize and prefer information learned in a contingent fashion, whereas augmented prenatal auditory stimulation disrupted the ability of chicks to benefit from contingently presented information. These results suggest that specific types of augmented prenatal stimulation that embryos receive during late prenatal period can impair the ability to learn and remember contingently presented information. These results provide testable developmental hypotheses, with the goal of improving the developmental care and management of preterm neonates in the NICU setting.

Organic carbon and nitrogen, sediment composition, and clay mineralogy of Deep Sea Drilling Project Site 603, western Atlantic Ocean

Sediment and interstitial water samples recovered during DSDP Leg 93 at Site 603 (lower continental rise off Cape Hatteras) were analyzed for a series of geochemical facies indicators to elucidate the nature and origin of the sedimentary material. Special emphasis was given to middle Cretaceous organic-matter-rich turbidite sequences of Aptian to Turanian age. Organic carbon content ranges from nil in pelagic claystone samples to 4.2% (total rock) in middle Cretaceous carbonaceous mudstones of turbiditic origin. The organic matter is of marine algal origin with significant contributions of terrigenous matter via turbidites. Maturation indices (vitrinite reflectance) reveal that the terrestrial humic material is reworked. Maturity of autochthonous material (i.e., primary vitrinite) falls in the range of 0.3 to 0.6% Carbohydrate, hydrocarbon, and microscopic investigations reveal moderate to high microbial degradation. Unlike deep-basin black shales of the South and North Atlantic, organic-carbon-rich members of the Hatteras Formation lack trace metal enrichment. Dissolved organic carbon (DOC) in interstitial water samples ranges from 34.4 ppm in a sandstone sample to 126.2 ppm in an organic-matter-rich carbonaceous claystone sample. One to two percent of DOC is carbohydratecarbon.

Cooperative or collaborative learning: Is there a difference in university students’ perceptions?

The hypothesis that the same educational objective, raised as cooperative or collaborative learning in university teaching does not affect students’ perceptions of the learning model, leads this study. It analyses the reflections of two students groups of engineering that shared the same educational goals implemented through two different methodological active learning strategies: Simulation as cooperative learning strategy and Problem-based Learning as a collaborative one. The different number of participants per group (eighty-five and sixty-five, respectively) as well as the use of two active learning strategies, either collaborative or cooperative, did not show differences in the results from a qualitative perspective.

A biologically inspired appearance model for robust visual tracking

In this work, we propose a biologically inspired appearance model for robust visual tracking. Motivated in part by the success of the hierarchical organization of the primary visual cortex (area V1), we establish an architecture consisting of five layers: whitening, rectification, normalization, coding and polling. The first three layers stem from the models developed for object recognition. In this paper, our attention focuses on the coding and pooling layers. In particular, we use a discriminative sparse coding method in the coding layer along with spatial pyramid representation in the pooling layer, which makes it easier to distinguish the target to be tracked from its background in the presence of appearance variations. An extensive experimental study shows that the proposed method has higher tracking accuracy than several state-of-the-art trackers.

The potential contributions of concept maps for learning website to assessment for learning practices

The purpose of this paper is to examine the promising contributions of the Concept Maps for Learning (CMfL) website to assessment for learning practices. The CMfL website generates concept maps from relatedness degree of concepts pairs through the Pathfinder Scaling Algorithm. This website also confirms the established principles of effective assessment for learning, for it is capable of automatically assessing students' higher order knowledge, simultaneously identifying strengths and weaknesses, immediately providing useful feedback and being user-friendly. According to the default assessment plan, students first create concept maps on a particular subject and then they are given individualized visual feedback followed by associated instructional material (e.g., videos, website links, examples, problems, etc.) based on a comparison of their concept map and a subject matter expert's map. After studying the feedback and instructional material, teachers can monitor their students' progress by having them create revised concept maps. Therefore, we claim that the CMfL website may reduce the workload of teachers as well as provide immediate and delayed feedback on the weaknesses of students in different forms such as graphical and multimedia. For the following study, we will examine whether these promising contributions to assessment for learning are valid in a variety of subjects.

Exploring the mobile structural assessment tool: Concept maps for learning website: Concept Maps for Learning Website

In this paper, we describe how the pathfinder algorithm converts relatedness ratings of concept pairs to concept maps; we also present how this algorithm has been used to develop the Concept Maps for Learning website (www.conceptmapsforlearning.com) based on the principles of effective formative assessment. The pathfinder networks, one of the network representation tools, claim to help more students memorize and recall the relations between concepts than spatial representation tools (such as Multi- Dimensional Scaling). Therefore, the pathfinder networks have been used in various studies on knowledge structures, including identifying students’ misconceptions. To accomplish this, each student’s knowledge map and the expert knowledge map are compared via the pathfinder software, and the differences between these maps are highlighted. After misconceptions are identified, the pathfinder software fails to provide any feedback on these misconceptions. To overcome this weakness, we have been developing a mobile-based concept mapping tool providing visual, textual and remedial feedback (ex. videos, website links and applets) on the concept relations. This information is then placed on the expert concept map, but not on the student’s concept map. Additionally, students are asked to note what they understand from given feedback, and given the opportunity to revise their knowledge maps after receiving various types of feedback.

Real-Time Visual SLAM Using Pre - Existing Floor Lines as Landmarks and a Single Camera

SANTANA, André M.; SANTIAGO, Gutemberg S.; MEDEIROS, Adelardo A. D. Real-Time Visual SLAM Using Pre-Existing Floor Lines as Landmarks and a Single Camera. In: CONGRESSO BRASILEIRO DE AUTOMÁTICA, 2008, Juiz de Fora, MG. Anais... Juiz de Fora: CBA, 2008.

Transformer les pratiques professionnelles vis-à-vis des personnes prestataires de l’aide sociale : développement participatif et évaluation d’une formation continue en cabinet dentaire

L’objectif de la présente thèse est de générer des connaissances sur les contributions possibles d’une formation continue à l’évolution des perspectives et pratiques des professionnels de la santé buccodentaire. Prônant une approche centrée sur le patient, la formation vise à sensibiliser les professionnels à la pauvreté et à encourager des pratiques qui se veulent inclusives et qui tiennent compte du contexte social des patients. L’évaluation de la formation s’inscrit dans le contexte d’une recherche-action participative de développement d’outils éducatifs et de transfert des connaissances sur la pauvreté. Cette recherche-action aspire à contribuer à la lutte contre les iniquités sociales de santé et d’accès aux soins au Québec; elle reflète une préoccupation pour une plus grande justice sociale ainsi qu’une prise de position pour une santé publique critique fondée sur une « science des solutions » (Potvin, 2013). Quatre articles scientifiques, ancrés dans une philosophie constructiviste et dans les concepts et principes de l’apprentissage transformationnel (Mezirow, 1991), constituent le cœur de cette thèse. Le premier article présente une revue critique de la littérature portant sur l’enseignement de l’approche de soins centrés sur le patient. Prenant appui sur le concept d’une « épistémologie partagée », des principes éducatifs porteurs d’une transformation de perspective à l’égard de la relation professionnel-patient ont été identifiés et analysés. Le deuxième article de thèse s’inscrit dans le cadre du développement participatif d’outils de formation sur la pauvreté et illustre le processus de co-construction d’un scénario de court-métrage social réaliste portant sur la pauvreté et l’accès aux soins. L’article décrit et apporte une réflexion, notamment sur la dimension de co-formation entre les différents acteurs des milieux académique, professionnel et citoyen qui ont constitué le collectif À l’écoute les uns des autres. Nous y découvrons la force du croisement des savoirs pour générer des prises de conscience sur soi et sur ses préjugés. Les outils développés par le collectif ont été intégrés à une formation continue axée sur la réflexion critique et l’apprentissage transformationnel, et conçue pour être livrée en cabinet dentaire privé. Les deux derniers articles de thèse présentent les résultats d’une étude de cas instrumentale évaluative centrée sur cette formation continue et visant donc à répondre à l’objectif premier de cette thèse. Le premier consiste en une analyse des transformations de perspectives et d’action au sein d’une équipe de 15 professionnels dentaires ayant participé à la formation continue sur une période de trois mois. L’article décrit, entre autres, une plus grande ouverture, chez certains participants, sur les causes structurelles de la pauvreté et une plus grande sensibilité au vécu au quotidien des personnes prestataires de l’aide sociale. L’article comprend également une exploration des effets paradoxaux dans l’apprentissage, notamment le renforcement, chez certains, de perceptions négatives à l’égard des personnes prestataires de l’aide sociale. Le quatrième article fait état de barrières idéologiques contraignant la transformation des pratiques professionnelles : 1) l’identification à l’idéologie du marché privé comme véhicule d’organisation des soins; 2) l’attachement au concept d’égalité dans les pratiques, au détriment de l’équité; 3) la prédominance du modèle biomédical, contraignant l’adoption de pratiques centrées sur la personne et 4) la catégorisation sociale des personnes prestataires de l’aide sociale. L’analyse des perceptions, mais aussi de l’expérience vécue de ces barrières démontre comment des facteurs systémiques et sociaux influent sur le rapport entre professionnel dentaire et personne prestataire de l’aide sociale. Les conséquences pour la recherche, l’éducation dentaire, le transfert des connaissances, ainsi que pour la régulation professionnelle et les politiques de santé buccodentaire, sont examinées à partir de cette perspective.

Evaluating statistical and machine learning methods to predict risk of in-hospital child mortality in Uganda

Thesis (Master's)--University of Washington, 2016-08

Una aproximación a la realidad de las plataformas virtuales de las universidades españolas: el primer reto para una educación personalizada en personas con discapacidad motórica o visual

El punto de partida para ofrecer una educación universitaria personalizada basada en entornos de educación onlinea personas con diversidad funcional debe centrarse en garantizar la óptima accesibilidad a su contenido web y a los recursos de aprendizaje. En la actualidad, la mayoría de las universidades disponen de plataformas virtuales de educación, con un importante peso para el correcto desarrollo de sus estudios y para la optimización del aprendizaje de su alumnado. Por otro lado, los entornos virtuales suponen un importante punto de acceso a la posible matriculación en dichas universidades del alumnado con discapacidad. Este trabajo tiene dos objetivos. El primero de ellos consiste en definir cuáles son las condiciones óptimas de accesibilidad web de las plataformas virtuales de educación y de los sitios web de las universidades para personas que presentan discapacidad visual o discapacidad motórica, de acuerdo a los estándares internacionales. El segundo objetivo del trabajo persigue ofrecer una breve aproximación al grado de accesibilidad de los sitios web de las universidades españolas para el alumnado con esas dos discapacidades. El trabajo sigue un diseño descriptivo basado en dos elementos de análisis. Por un lado, la revisión de estudios de accesibilidad y diversidad funcional y, por otro, el análisis de la accesibilidad web de los sitios web de las 78 universidades españolas. Se concluye que existen dificultades de accesibilidad web y navegación en los entornos virtuales de las universidades españolas, situación que, por lo tanto, redunda en limitaciones en el aprendizaje de los colectivos de estudiantes con limitaciones.

Learning from one another: evaluating the impact of horizontal knowledge exchange for environmental management and governance

There is increasing advocacy for inclusive community-based approaches to environmental management, and growing evidence that involving communities improves the sustainability of social-ecological systems. Most community-based approaches rely on partnerships and knowledge exchange between communities, civil society organizations, and professionals such as practitioners and/or scientists. However, few models have actively integrated more horizontal knowledge exchange from community to community. We reflect on the transferability of community owned solutions between indigenous communities by exploring challenges and achievements of community peer-to-peer knowledge exchange as a way of empowering communities to face up to local environmental and social challenges. Using participatory visual methods, indigenous communities of the North Rupununi (Guyana) identified and documented their community owned solutions through films and photostories. Indigenous researchers from this community then shared their solutions with six other communities that faced similar challenges within Guyana, Suriname, Venezuela, Colombia, French Guiana, and Brazil. They were supported by in-country civil society organizations and academics. We analyzed the impact of the knowledge exchange through interviews, field reports, and observations. Our results show that indigenous community members were significantly more receptive to solutions emerging from, and communicated by, other indigenous peoples, and that this approach was a significant motivating force for galvanizing communities to make changes in their community. We identified a range of enabling factors, such as building capacity for a shared conceptual and technical understanding, that strengthens the exchange between communities and contributes to a lasting impact. With national and international policy-makers mobilizing significant financial resources for biodiversity conservation and climate change mitigation, we argue that the promotion of community owned solutions through community peer-to-peer exchange may deliver more long-lasting, socially and ecologically integrated, and investment-effective strategies compared to top-down, expert led, and/or foreign-led initiatives.

Student attitudes towards cooperative learning in education

Abstract: Active or participatory learning by the student within a classroom environment has been fairly recently recognized as an effective, efficient, and superior instructional technique yet few teachers in higher education have adopted this pedagogical strategy. This is especially true in Science where teachers primarily lecture to passively seated students while using static visual aids or multimedia projections. Teachers generally teach as they were taught and lecture formats have been the norm. Although student-learning theories as well as student learning styles, abilities, and understanding strategies have changed, traditional teaching techniques have not evolved past the “chalk and talk” instructional strategy. This research looked into student’s perceptions of cooperative learning or team-based active learning in order to gain insight and some understanding as to how students felt about this learning technique. Student’s attitudes were then compared to student grades to detennine whether cooperative learning impeded or ameliorated academic performance. The results revealed significant differences measured in all the survey questions pertaining to perception or attitudes. As a result of the cooperative learning activities, respondents indicated more agreement to the survey questions pertaining to the benefits of cooperative learning. The experimental group exposed to cooperative learning thus experienced more positive attitudes and perceptions than the groups exposed only to a lecture-based teaching and learning format. Each of the hypotheses tested demonstrated that students had more positive attitudes towards cooperative learning strategies. Recommendations as to future work were presented in order to gain a greater understanding into both student and teacher attitudes towards the cooperative learning model.||Résumé: Lapprentissage actif ou préparatoire par létudiant au sein d’une classe a été reconnu assez récemment comme une technique d’enseignement plus efficace. Cependant, peu d’enseignants ont adopté cette stratégie pedagogique pour l'éducation post-secondaire. Ceci est particulièrement le cas dans le domaine des sciences où les enseignants font surtout usage de cours magistraux avec des étudiants passifs tout en utilisant des aides visuelles statiques ou des projections multimédias. Les professeurs enseignent generalement comme on leur a eux-même enseigné et les cours magistraux ont été la norme par le passé. Les techniques traditionnelles d'enseignernent n'ont pas évolué au-delà de la craie et du tableau noir et ce même si les théories sur l’apprentissage par les étudiants ont changé, tout comme les styles, les habiletés et les stratégies de compréhension d’apprentissage des étudiants. Cette recherche se penche sur les perceptions des étudiants au sujet de l'apprentissage coopératif ou de l'apprentissage actif par équipe de telle sorte qu'on puisse avoir un aperçu et une certaine compréhension de comment les étudiants se sentent par rapport à ces techniques d'apprentissage. Les attitudes des étudiants ont par la suite été comparées aux notes de ceux-ci pour déterminer si l'apprentissage coopératif avait nui ou au contraire amélioré leurs performances académiques. Les résultats obtenus dans l'étude d'ensemble révèlent des différences significatives dans toutes les questions ayant trait à la perception et aux attitudes.

A Haptic System for Depicting Mathematical Graphics for Students with Visual Impairments

When teaching students with visual impairments educators generally rely on tactile tools to depict visual mathematical topics. Tactile media, such as embossed paper and simple manipulable materials, are typically used to convey graphical information. Although these tools are easy to use and relatively inexpensive, they are solely tactile and are not modifiable. Dynamic and interactive technologies such as pin matrices and haptic pens are also commercially available, but tend to be more expensive and less intuitive. This study aims to bridge the gap between easy-to-use tactile tools and dynamic, interactive technologies in order to facilitate the haptic learning of mathematical concepts. We developed an haptic assistive device using a Tanvas electrostatic touchscreen that provides the user with multimodal (haptic, auditory, and visual) output. Three methodological steps comprise this research: 1) a systematic literature review of the state of the art in the design and testing of tactile and haptic assistive devices, 2) a user-centered system design, and 3) testing of the system’s effectiveness via a usability study. The electrostatic touchscreen exhibits promise as an assistive device for displaying visual mathematical elements via the haptic modality.

'Stepping out' with Gargantua : learning new research practices in the educational theatre of absurdity

Access to new forms, conduct and practices of educational research remain elusive providing researchers stay within the narrow theoretical constructs-the static, single vista ofconventional research models. This dissertation presents the findings of an experimental study that aims to extend the discourse of educational research through a 'performative ethnographic analysis' by using a single-site case study approach. The case study is an analytical parody based on multiple discourse relevant to a 'new' and different approach to educational research so that a more comprehensive and complex process of reading and writing text becomes possible. Throughout this process, a generative methodology and interpretative base are anticipated to provide a metaphoric focus for a critical dialogue. The discourse informing the theoretical and interpretative base of the study include philosophy, science, visual arts, literary theory, critical postructuralist theory and theatre performance. The data are presented as a series of performance narratives in the form of socio-drama, interspersed with critical reflection that enables the researcher, the research participant and reader to become part ofa triadic construct. The findings from this study have major implications for informing contemporary educational research, as they demonstrate that by approaching research in 'new' and different ways, the researcher and the educational community have access to insights that are unavailable within the constraints of conventional models ofresearch.