866 resultados para High-Dimensional Space Geometrical Informatics (HDSGI)


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Multi-label classification (MLC) is the supervised learning problem where an instance may be associated with multiple labels. Modeling dependencies between labels allows MLC methods to improve their performance at the expense of an increased computational cost. In this paper we focus on the classifier chains (CC) approach for modeling dependencies. On the one hand, the original CC algorithm makes a greedy approximation, and is fast but tends to propagate errors down the chain. On the other hand, a recent Bayes-optimal method improves the performance, but is computationally intractable in practice. Here we present a novel double-Monte Carlo scheme (M2CC), both for finding a good chain sequence and performing efficient inference. The M2CC algorithm remains tractable for high-dimensional data sets and obtains the best overall accuracy, as shown on several real data sets with input dimension as high as 1449 and up to 103 labels.

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Esta tesis presenta los resultados de la investigación realizada sobre la inertización de cenizas volantes procedentes de residuos sólidos urbanos y su posterior encapsulación en distintas matrices de mortero. Durante el proceso de inertización, se ha logrado la inertización de éste residuo tóxico y peligroso (RTP) y también su valorización como subproducto. De esta forma se dispone de nueva “materia prima” a bajo coste y la eliminación de un residuo tóxico y peligroso con la consiguiente conservación de recursos naturales alternativos. La caracterización química de las cenizas analizadas refleja que éstas presentan altas concentraciones de cloruros, Zn y Pb. Durante la investigación se ha desarrollado un proceso de inertización de las cenizas volantes con bicarbonato sódico (NaHCO3) que reduce en un 99% el contenido en cloruros y mantiene el pH en valores óptimos para que la concentración de los metales pesados en el lixiviado sea mínima debido a su estabilización en forma de carbonatos insolubles. Se han elaborado morteros con cuatro tipos distintos de cementos (CEM-I, CEM-II, CAC y CSA) incorporando cenizas volantes inertizadas en una proporción igual a un 10% en peso del árido utilizado. Los morteros ensayados abarcan distintas dosificaciones tanto en la utilización de áridos con distintos diámetros (0/2 y 0/4), como en la relación cemento/árido (1/1 y 1/3). Se han obtenido las propiedades físicas y mecánicas de estos morteros mediante ensayos de Trabajabilidad, Estabilidad Dimensional, Carbonatación, Porosidad y Resistencias Mecánicas. De igual forma, se presentan resultados de ensayos de lixiviación de Zn, Pb, Cu y Cd, sobre probetas monolíticas de los morteros con los mejores comportamientos físico/mecánicos, donde se ha analizado el contenido en iones de dichos metales pesados lixiviados mediante determinación voltamperométrica de redisolución anódica Se concluye que todos los morteros ensayados son técnicamente aceptables, siendo los más favorables los elaborados con Cemento de Sulfoaluminato de Calcio (CSA) y con Cemento de Aluminato de Calcio (CAC). En este último caso, se mejoran las resistencias a compresión de los morteros de referencia en más de un 48%, y las resistencias a flexión en más de un 67%. De igual forma, los ensayos de lixiviado revelan la completa encapsulación de los iones de Zn y la mitigación en el lixiviado de los iones de Pb. Ambos morteros podrían ser perfectamente validos en actuaciones en las que se necesitase un producto de fraguado rápido, altas resistencias iniciales y compensación de las retracciones con una elevada estabilidad dimensional. En base a esto, el material podría ser utilizado como mortero de reparación en viales y pavimentos que requiriesen altas prestaciones, tales como: soleras industriales, pistas de aterrizaje, aparcamientos, etc. O bien, para la confección de elementos prefabricados sin armaduras estructurales, dada su elevada resistencia a flexión. ABSTRACT This dissertation presents the results of a research on inerting fly ash from urban solid waste and its subsequent encapsulation in mortar matrixes. The inerting of this hazardous toxic waste, as well as its valorization as a by-product has been achieved. In this way, a new "raw material" is available through a simple process and the toxic and hazardous waste is eliminated, and consequently, conservation of alternative natural resources is strengthened. Chemical analysis of the ashes analyzed shows high concentrations of soluble chlorides, Zn and Pb. An inerting process of fly ash with sodium bicarbonate (NaHCO3) has been developed which reduces 99% the content of chlorides and maintains pH at optimal values, so that the concentration of heavy metals in the leachate is minimum, due to its stabilization in the form of insoluble carbonates. Mortars with four different types of cements (CEM-I, CEM-II, CAC and CSA) have been developed by the addition of inertized fly ash in the form of carbonates, in the proportion of 10% in weight of the aggregates used. The samples tested include different proportions in the use of aggregates with different sizes (0/2 and 0/4), and in the cement/aggregate ratio (1/1 and 1/3). Physical/mechanical properties of these mortars have been studied through workability, dimensional stability, carbonation, porosity and mechanic strength tests. Leaching tests of Zn, Pb, Cu and Cd ions are also being performed on monolithic samples of the best behavioral mortars. The content in leachated heavy metal ions is being analyzed through stripping voltammetry determination. Conclusions drawn are that the tested CAC and CSA cement mortars present much better behavior than those of CEM-I and CEM-II cement. The results are especially remarkable for the CAC cement mortars, improving reference mortars compression strengths in more than 48%, and also bending strengths in more than 67%. Leaching tests confirm that the encapsulation of Zn and Pb is achieved and leachate of both ions is mitigated within the mortar matrixes. For the above stated reasons, it might be concluded that mortars made with calcium aluminate cements or calcium sulfoaluminate with the incorporation of treated fly ash, may be perfectly valid for uses in which a fast-curing product, with high initial strength and drying shrinkage compensation with a high dimensional stability is required. Based on this, the material could be used as repair mortar for structures, roads and industrial pavements requiring high performance, such as: industrial floorings, landing tracks, parking lots, etc. Alternatively, it could also be used in the manufacture of prefabricated elements without structural reinforcement, given its high bending strength.

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Traffic flow time series data are usually high dimensional and very complex. Also they are sometimes imprecise and distorted due to data collection sensor malfunction. Additionally, events like congestion caused by traffic accidents add more uncertainty to real-time traffic conditions, making traffic flow forecasting a complicated task. This article presents a new data preprocessing method targeting multidimensional time series with a very high number of dimensions and shows its application to real traffic flow time series from the California Department of Transportation (PEMS web site). The proposed method consists of three main steps. First, based on a language for defining events in multidimensional time series, mTESL, we identify a number of types of events in time series that corresponding to either incorrect data or data with interference. Second, each event type is restored utilizing an original method that combines real observations, local forecasted values and historical data. Third, an exponential smoothing procedure is applied globally to eliminate noise interference and other random errors so as to provide good quality source data for future work.

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Generalmente los patrones espaciales de puntos en ecología, se definen en el espacio bi-dimensional, donde cada punto representado por el par ordenado (x,y), resume la ubicación espacial de una planta. La importancia de los patrones espaciales de plantas radica en que proceden como respuesta ante importantes procesos ecológicos asociados a la estructura de una población o comunidad. Tales procesos incluyen fenómenos como la dispersión de semillas, la competencia por recursos, la facilitación, respuesta de las plantas ante algún tipo de estrés, entre otros. En esta tesis se evalúan los factores y potenciales procesos subyacentes, que explican los patrones de distribución espacial de la biodiversidad vegetal en diferentes ecosistemas como bosque mediterráneo, bosque tropical y matorral seco tropical; haciendo uso de nuevas metodologías para comprobar hipótesis relacionadas a los procesos espaciales. En este trabajo se utilizaron dos niveles ecológicos para analizar los procesos espaciales, el nivel de población y el nivel de comunidad, con el fin de evaluar la importancia relativa de las interacciones intraespecíficas e interespecíficas. Me centré en el uso de funciones estadísticas que resumen los patrones de puntos para explorar y hacer inferencias a partir de datos espaciales, empezando con la construcción de un nuevo modelo nulo para inferir variantes del síndrome de dispersión de una planta parásita en España central. Se analizó la dependencia de los patrones espaciales tanto de los hospedantes afectados como de los no-afectados y se observó fuerte dependencia a pequeña y mediana distancia. Se utilizaron dos funciones (kernel) para simular la dispersión de la especie parásita y se identificó consistencia de estos modelos con otros síndromes de dispersión adicionalmente a la autodispersión. Un segundo tema consistió en desarrollar un método ANOVA de dos vías? para patrones de puntos replicados donde el interés se concentró en evaluar la interacción de dos factores. Este método se aplicó a un caso de estudio que consitió en analizar la influencia de la topografía y la altitud sobre el patrón espacial de un arbusto dominante en matorral seco al sur del Ecuador, cuyos datos provienen de patrones de puntos replicados basados en diseño. Partiendo de una metodología desarrollada para procesos uni-factoriales, se construyó el método para procesos bi-factoriales y así poder evaluar el efecto de interacción. Se observó que la topografía por sí sola así como la interacción con la altitud presentaron efecto significativo sobre la formación del patrón espacial. Un tercer tema fue identificar la relación entre el patrón espacial y el síndrome de dispersión de la comunidad vegetal en el bosque tropical de la Isla de Barro Colorado (BCI), Panamá. Muchos estudios se han desarrollado en este bosque tropical y algunos han analizado la relación síndrome-patrón espacial, sin embargo lo novedoso de nuestro estudio es que se evaluaron un conjunto amplio de modelos (114 modelos) basados en procesos que incorporan la limitación de la dispersión y la heterogeneidad ambiental, y evalúan el efecto único y el efecto conjunto, para posteriormente seleccionar el modelo de mejor ajuste para cada especie. Más de la mitad de las especies presentaron patrón espacial consistente con el efecto conjutno de la limitación de la dispersión y heterogeneidad ambiental y el porcentaje restante de especies reveló en forma equitativa el efecto único de la heterogeneidad ambiental y efecto único de limitación de la dispersión. Finalmente, con la misma información del bosque tropical de BCI, y para entender las relaciones que subyacen para mantener el equilibrio de la biodiversidad, se desarrolló un índice de dispersión funcional local a nivel de individuo, que permita relacionar el patrón espacial con cuatro rasgos funcionales clave de las especies. Pese a que muchos estudios realizados involucran esta comunidad con la teoría neutral, se encontró que el ensamble de la comunidad de BCI está afectado por limitaciones de similaridad y de hábitat a diferentes escalas. ABSTRACT Overall the spatial point patterns in ecology are defined in two-dimensional space, where each point denoted by the (x,y) ordered pair, summarizes the spatial location of a plant. The spatial point patterns are essential because they arise in response to important ecological processes, associated with the structure of a population or community. Such processes include phenomena as seed dispersal, competition for resources, facilitation, and plant response to some type of stress, among others. In this thesis, some factors and potential underlying processes were evaluated in order to explain the spatial distribution patterns of plant biodiversity. It was done in different ecosystems such as Mediterranean forest, tropical forest and dry scrubland. For this purpose new methodologies were used to test hypothesis related to spatial processes. Two ecological levels were used to analyze the spatial processes, at population and community levels, in order to assess the relative importance of intraspecific and interspecific interactions. I focused on the use of spatial statistical functions to summarize point patterns to explore and make inferences from spatial data, starting with the construction of a new null model to infer variations about the dispersal syndrome of a parasitic plant in central Spain. Spatial dependence between point patterns in a multivariate point process of affected and unaffected hosts were analyzed and strong dependence was observed at small and medium distance. Two kernel functions were used to simulate the dispersion of parasitic plant and consistency of these models with other syndromes was identified, in addition to ballistic dispersion. A second issue was to analyze altitude and topography effects on the spatial population structure of a dominant shrub in the dry ecosystem in southern Ecuador, whose data come from replicated point patterns design-based. Based on a methodology developed for uni-factorial process, a method for bi-factorial processes was built to assess the interaction effect. The topography alone and interacting with altitude showed significant effect on the spatial pattern of shrub. A third issue was to identify the relationship between the spatial pattern and dispersal syndromes of plant community in the tropical forest of Barro Colorado Island (BCI), Panamá. Several studies have been developed in this tropical forest and some focused on the spatial pattern-syndrome relationship; however the novelty of our study is that a large set of models (114 models) including dispersal limitation and environmental heterogeneity were evaluated, used to identify the only and joint effect to subsequently select the best fit model for each species. Slightly more than fifty percent of the species showed spatial pattern consistent with only the dispersal limitation, and the remaining percentage of species revealed the only effect of environmental heterogeneity and habitat-dispersal limitation joined effect, equitably. Finally, with the same information from the tropical forest of BCI, and to understand the relationships underlying for balance of biodiversity, an index of the local functional dispersion was developed at the individual level, to relate the spatial pattern with four key functional traits of species. Although many studies involve this community with neutral theory, the assembly of the community is affected by similarity and habitat limitations at different scales.

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To date, although much attention has been paid to the estimation and modeling of the voice source (ie, the glottal airflow volume velocity), the measurement and characterization of the supraglottal pressure wave have been much less studied. Some previous results have unveiled that the supraglottal pressure wave has some spectral resonances similar to those of the voice pressure wave. This makes the supraglottal wave partially intelligible. Although the explanation for such effect seems to be clearly related to the reflected pressure wave traveling upstream along the vocal tract, the influence that nonlinear source-filter interaction has on it is not as clear. This article provides an insight into this issue by comparing the acoustic analyses of measured and simulated supraglottal and voice waves. Simulations have been performed using a high-dimensional discrete vocal fold model. Results of such comparative analysis indicate that spectral resonances in the supraglottal wave are mainly caused by the regressive pressure wave that travels upstream along the vocal tract and not by source-tract interaction. On the contrary and according to simulation results, source-tract interaction has a role in the loss of intelligibility that happens in the supraglottal wave with respect to the voice wave. This loss of intelligibility mainly corresponds to spectral differences for frequencies above 1500 Hz.

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En esta tesis se presenta el desarrollo de un esquema de cooperación entre vehículos terrestres (UGV) y aéreos (UAV) no tripulados, que sirve de base para conformar dos flotas de robots autónomos (denominadas FRACTAL y RoMA). Con el fin de comprobar, en diferentes escenarios y con diferente tareas, la validez de las estrategias de coordinación y cooperación propuestas en la tesis se utilizan los robots de la flota FRACTAL, que sirven como plataforma de prueba para tareas como el uso de vehículos aéreos y terrestres para apoyar labores de búsqueda y rescate en zonas de emergencia y la cooperación de una flota de robots para labores agrícolas. Se demuestra además, que el uso de la técnica de control no lineal conocida como Control por Modos Deslizantes puede ser aplicada no solo para conseguir la navegación autónoma individual de un robot aéreo o terrestre, sino también en tareas que requieren la navegación coordinada y sin colisiones de varios robots en un ambiente compartido. Para esto, se conceptualiza teóricamente el uso de la técnica de Control por Modos Deslizantes como estrategia de coordinación entre robots, extendiendo su aplicación a robots no-holonómicos en R2 y a robots aéreos en el espacio tridimensional. Después de dicha contextualización teórica, se analizan las condiciones necesarias para determinar la estabilidad del sistema multi-robot controlado y, finalmente, se comprueban las características de estabilidad y robustez ofrecidas por esta técnica de control. Tales comprobaciones se hacen simulando la navegación segura y eficiente de un grupo de UGVs para la detección de posibles riesgos ambientales, aprovechando la información aportada por un UAV. Para estas simulaciones se utilizan los modelos matemáticos de robots de la flota RoMA. Estas tareas coordinadas entre los robots se hacen posibles gracias a la efectividad, estabilidad y robustez de las estrategias de control que se desarrollan como núcleo fundamental de este trabajo de investigación. ABSTRACT This thesis presents the development of a cooperation scheme between unmanned ground (UGV) and aerial (UAV) vehicles. This scheme is the basis for forming two fleets of autonomous robots (called FRACTAL and RoMA). In order to assess, in different settings and on different tasks, the validity of the coordination and cooperation strategies proposed in the thesis, the FRACTAL fleet robots serves as a test bed for tasks like using coordinated aerial and ground vehicles to support search and rescue work in emergency scenarios or cooperation of a fleet of robots for agriculture. It is also shown that using the technique of nonlinear control known as Sliding Modes Control (SMC) can be applied not only for individual autonomous navigation of an aircraft or land robot, but also in tasks requiring the coordinated navigation of several robots, without collisions, in a shared environment. To this purpose, a strategy of coordination between robots using Sliding Mode Control technique is theoretically conceptualized, extending its application to non-holonomic robots in R2 and aerial robots in three-dimensional space. After this theoretical contextualization, the stability conditions of multi-robot system are analyzed, and finally, the stability and robustness characteristics are validated. Such validations are made with simulated experiments about the safe and efficient navigation of a group of UGV for the detection of possible environmental hazards, taking advantage of the information provided by a UAV. This simulations are made using mathematical models of RoMA fleet robots. These coordinated tasks of robots fleet are made possible thanks to the effectiveness, stability and robustness of the control strategies developed as core of this research.

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El proyecto de una tienda concentra un poco de todo aquello que interesa al arquitecto: conforma una suerte de encrucijada en la que se dan cita, junto a cuestiones disciplinares que la hacen muy atractiva y ponen a prueba su habilidad como proyectista, la necesidad de aunar recursos compositivos procedentes de otros terrenos periféricos a la arquitectura para dar una respuesta adecuada a los requerimientos específicos de imagen y persuasión que la actividad comercial comporta. Las difíciles condiciones de partida, habitualmente configuraciones espaciales no excesivamente favorables, donde las preexistencias y los contornos coartan y encierran un espacio al que hay que dotar de un nuevo orden; el tamaño reducido y las posibilidades de control total de la obra que de éste se derivan; el corto plazo de tiempo y la rapidez de respuesta que la estrategia comercial impone; su posición estratégica, en relación directa con la calle, y la mayor evidencia que, por tanto, se le asigna a la fachada y al escaparate como ‘primeros anuncios’ de la actividad; la integración y el comentario recíproco entre arquitectura y objeto que tiene lugar en su seno…, son algunas de las razones que explican este interés y justifican que la tienda −ese espacio acotado tan apto para el invento y la innovación−, constituya un banco de pruebas donde poder ensayar nuevos conceptos de la arquitectura al reunir espacial y temporalmente los condicionantes ideales requeridos para la experimentación y la comprobación de hallazgos. Aunque escasas, existen en la arquitectura contemporánea tiendas que han logrado ocupar por méritos propios un lugar destacado dentro de la obra de sus autores. Entre las merecedoras de ese reconocimiento habría que citar la ‘mítica’ sastrería Kniže proyectada por Adolf Loos a comienzos del siglo XX en Viena, el Negozio Vitrum que Giuseppe Terragni diseñara en Como en los años treinta, o la sucursal londinense de las líneas aéreas de Iraq construida en los sesenta por Alison y Peter Smithson. La elección, lejos de ser gratuita, obedece a razones fundadas. Dentro de las circunstancias temporales en las que se gestaron −las tres fueron proyectadas y construidas a lo largo del pasado siglo en un arco que abarca algo más de cincuenta años (1907-1961)−, los ejemplos seleccionados aúnan toda una serie de ‘coincidencias’ entre las que no resulta difícil establecer ciertos paralelismos: las tres marcan la talla de unos creadores que fueron capaces de dedicar la misma intensidad creativa a estos temas ‘menores’, corroborando que el carácter de la arquitectura también puede hacerse grande en lo pequeño; las tres, debido al momento de madurez en el que se abordó su diseño, reflejan su condición de laboratorio experimental al servicio de los intereses proyectuales que en ese momento ocupaban la mente de los arquitectos; las tres corroboran hipótesis ya apuntadas en arquitecturas anteriores, prueban líneas de trabajo no materializadas por falta de oportunidad y testan de manera menos comprometida soluciones que luego se trasladarán a obras con mayor vocación de permanencia; obras −y esto es algo especialmente sorprendente− con las que mantuvieron una estrecha relación en el espacio y en el tiempo, convirtiéndose incluso en plataformas de experimentación paralelas: baste en este sentido con apuntar la cercanía física −a ‘metros’ de distancia− y temporal −realizadas en los mismos años− entre la sastrería Kniže (1907- 1913;1928) y la Casa en la Michaelerplatz (1910-11); la tienda Vitrum (1930) y la Casa del Fascio (1929; 1932-36) o las oficinas de venta de las Iraqi Airways (1960-61) y la sede del The Economist (1959-64). Esta potencialidad que la tienda encierra para erigirse en laboratorio de experimentación y ensayo de la arquitectura, constituye la clave de la investigación que la tesis propone. ABSTRACT A little of everything that interests the architect is concentrated in the designing of a shop: it forms a kind of crossroads bringing together, apart from certain disciplinary questions rendering it particularly attractive and testing one’s ability as a designer, the need to coordinate compositional resources from fields peripheral to architecture in order to devise an adequate response to the specific requirements of image and persuasion that are part and parcel of business activity. The difficult start-up conditions, the generally not overly favourable spatial configurations ‒where the pre-existing conditions and shape of the site encroach on and enclose a space which has to be given a new order‒, the reduced size and possibilities afforded in terms of controlling the work, the short time frame and the rapid response imposed by the business tactics and its strategic position and direct frontal relationship with the street, make the shopfront and the display window are the ‘first advertisements” of the activity, or the integration and the reciprocal commentary between architecture and what takes place within: these are but some of the reasons explaining this interest and justifying the claim that the shop –a dimensional space so well suited to invention and innovation− constitutes a test-bed for trying out new concepts of architecture, combining in space and time the ideal conditions for experiment and the examination of its findings. Albeit not numerous, there are shops in contemporary architecture which have managed on their own merit to obtain a special place among the works of their authors. Among those earning such recognition, one should mention the ‘mythical’ Kniže tailoring establishment designed by Adolf Loos at the beginning of the 20th century in Vienna, the Negozio Vitrum designed by Giuseppe Terragni in Como in the thirties, or the London offices of Iraqi Airways built in the sixties by Alison and Peter Smithson. This selection, far from gratuitous, is based on well-founded reasons. Within the circumstances of the time-frame in which they were developed −the three were designed and built during the 20th century in a period that spans just over fifty years (1907-1961)− the chosen examples bring together a whole series of ‘coincidences’ where it is not difficult to draw certain parallels: the three bear witness to the stature of creators who were capable of devoting the same creative intensity to these ‘minor’ themes, thus corroborating the fact that the nature of the architecture can also be great in less important works; the three, thanks to the moment of maturity in which their design was carried out, reflect their condition as an experimental laboratory at the service of the particular designing interests which at the time occupied the minds of these architects; the three confirm hypotheses already displayed in previous architectures, they test lines of work which had not materialised through lack of opportunity, and in a less comprised manner check solutions that were later transferred to works with a greater vocation for permanence; works −and this is something especially surprising – with which they maintained a close relationship in time and space, even becoming parallel experimental platforms: in this sense, we need only to mention the physical proximity –just metres away− and proximity in time –built within the same years− between the Kniže shop (1907-1913; 1928) and the House of Michaelerplatz (1910-11); the Vitrum shop (1930) and the Casa del Fascio (1929;1932-36); and the Iraqi Airways sales offices (1960-61) and the headquarters of The Economist (1959-64). The potential of the shop to set itself up as an experimental laboratory and architectural rehearsal constitutes the main focus of the research put forward by this thesis.

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The mapping of high-dimensional olfactory stimuli onto the two-dimensional surface of the nasal sensory epithelium constitutes the first step in the neuronal encoding of olfactory input. We have used zebrafish as a model system to analyze the spatial distribution of odorant receptor molecules in the olfactory epithelium by quantitative in situ hybridization. To this end, we have cloned 10 very divergent zebrafish odorant receptor molecules by PCR. Individual genes are expressed in sparse olfactory receptor neurons. Analysis of the position of labeled cells in a simplified coordinate system revealed three concentric, albeit overlapping, expression domains for the four odorant receptors analyzed in detail. Such regionalized expression should result in a corresponding segregation of functional response properties. This might represent the first step of spatial encoding of olfactory input or be essential for the development of the olfactory system.

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Structural information on complex biological RNA molecules can be exploited to design tectoRNAs or artificial modular RNA units that can self-assemble through tertiary interactions thereby forming nanoscale RNA objects. The selective interactions of hairpin tetraloops with their receptors can be used to mediate tectoRNA assembly. Here we report on the modulation of the specificity and the strength of tectoRNA assembly (in the nanomolar to micromolar range) by variation of the length of the RNA subunits, the nature of their interacting motifs and the degree of flexibility of linker regions incorporated into the molecules. The association is also dependent on the concentration of magnesium. Monitoring of tectoRNA assembly by lead(II) cleavage protection indicates that some degree of structural flexibility is required for optimal binding. With tectoRNAs one can compare the binding affinities of different tertiary motifs and quantify the strength of individual interactions. Furthermore, in analogy to the synthons used in organic chemistry to synthesize more complex organic compounds, tectoRNAs form the basic assembly units for constructing complex RNA structures on the nanometer scale. Thus, tectoRNA provides a means for constructing molecular scaffoldings that organize functional modules in three-dimensional space for a wide range of applications.

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The dichotomy between two groups of workers on neuroelectrical activity is retarding progress. To study the interrelations between neuronal unit spike activity and compound field potentials of cell populations is both unfashionable and technically challenging. Neither of the mutual disparagements is justified: that spikes are to higher functions as the alphabet is to Shakespeare and that slow field potentials are irrelevant epiphenomena. Spikes are not the basis of the neural code but of multiple codes that coexist with nonspike codes. Field potentials are mainly information-rich signs of underlying processes, but sometimes they are also signals for neighboring cells, that is, they exert influence. This paper concerns opportunities for new research with many channels of wide-band (spike and slow wave) recording. A wealth of structure in time and three-dimensional space is different at each scale—micro-, meso-, and macroactivity. The depth of our ignorance is emphasized to underline the opportunities for uncovering new principles. We cannot currently estimate the relative importance of spikes and synaptic communication vs. extrasynaptic graded signals. In spite of a preponderance of literature on the former, we must consider the latter as probably important. We are in a primitive stage of looking at the time series of wide-band voltages in the compound, local field, potentials and of choosing descriptors that discriminate appropriately among brain loci, states (functions), stages (ontogeny, senescence), and taxa (evolution). This is not surprising, since the brains in higher species are surely the most complex systems known. They must be the greatest reservoir of new discoveries in nature. The complexity should not deter us, but a dose of humility can stimulate the flow of imaginative juices.

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Two objects with homologous landmarks are said to be of the same shape if the configurations of landmarks of one object can be exactly matched with that of the other by translation, rotation/reflection, and scaling. The observations on an object are coordinates of its landmarks with reference to a set of orthogonal coordinate axes in an appropriate dimensional space. The origin, choice of units, and orientation of the coordinate axes with respect to an object may be different from object to object. In such a case, how do we quantify the shape of an object, find the mean and variation of shape in a population of objects, compare the mean shapes in two or more different populations, and discriminate between objects belonging to two or more different shape distributions. We develop some methods that are invariant to translation, rotation, and scaling of the observations on each object and thereby provide generalizations of multivariate methods for shape analysis.

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Mathematical morphology addresses the problem of describing shapes in an n-dimensional space using the concepts of set theory. A series of standardized morphological operations are defined, and they are applied to the shapes to transform them using another shape called the structuring element. In an industrial environment, the process of manufacturing a piece is based on the manipulation of a primitive object via contact with a tool that transforms the object progressively to obtain the desired design. The analogy with the morphological operation of erosion is obvious. Nevertheless, few references about the relation between the morphological operations and the process of design and manufacturing can be found. The non-deterministic nature of classic mathematical morphology makes it very difficult to adapt their basic operations to the dynamics of concepts such as the ordered trajectory. A new geometric model is presented, inspired by the classic morphological paradigm, which can define objects and apply morphological operations that transform these objects. The model specializes in classic morphological operations, providing them with the determinism inherent in dynamic processes that require an order of application, as is the case for designing and manufacturing objects in professional computer-aided design and manufacturing (CAD/CAM) environments. The operators are boundary-based so that only the points in the frontier are handled. As a consequence, the process is more efficient and more suitable for use in CAD/CAM systems.

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The FANOVA (or “Sobol’-Hoeffding”) decomposition of multivariate functions has been used for high-dimensional model representation and global sensitivity analysis. When the objective function f has no simple analytic form and is costly to evaluate, computing FANOVA terms may be unaffordable due to numerical integration costs. Several approximate approaches relying on Gaussian random field (GRF) models have been proposed to alleviate these costs, where f is substituted by a (kriging) predictor or by conditional simulations. Here we focus on FANOVA decompositions of GRF sample paths, and we notably introduce an associated kernel decomposition into 4 d 4d terms called KANOVA. An interpretation in terms of tensor product projections is obtained, and it is shown that projected kernels control both the sparsity of GRF sample paths and the dependence structure between FANOVA effects. Applications on simulated data show the relevance of the approach for designing new classes of covariance kernels dedicated to high-dimensional kriging.

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Thesis (Master's)--University of Washington, 2016-06

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Thesis (Ph.D.)--University of Washington, 2016-06