Parametrization of spectral surfaces of a class of periodic 5-diagonal matrices

The main result of this work is a parametric description of the spectral surfaces of a class of periodic 5-diagonal matrices, related to the strong moment problem. This class is a self-adjoint twin of the class of CMV matrices. Jointly they form the simplest possible classes of 5-diagonal matrices.

Hierarchical conditional random fields for parts based models matching

A parts based model is a parametrization of an object class using a collection of landmarks following the object structure. The matching of parts based models is one of the problems where pairwise Conditional Random Fields have been successfully applied. The main reason of their effectiveness is tractable inference and learning due to the simplicity of involved graphs, usually trees. However, these models do not consider possible patterns of statistics among sets of landmarks, and thus they sufffer from using too myopic information. To overcome this limitation, we propoese a novel structure based on a hierarchical Conditional Random Fields, which we explain in the first part of this memory. We build a hierarchy of combinations of landmarks, where matching is performed taking into account the whole hierarchy. To preserve tractable inference we effectively sample the label set. We test our method on facial feature selection and human pose estimation on two challenging datasets: Buffy and MultiPIE. In the second part of this memory, we present a novel approach to multiple kernel combination that relies on stacked classification. This method can be used to evaluate the landmarks of the parts-based model approach. Our method is based on combining responses of a set of independent classifiers for each individual kernel. Unlike earlier approaches that linearly combine kernel responses, our approach uses them as inputs to another set of classifiers. We will show that we outperform state-of-the-art methods on most of the standard benchmark datasets.

Characterization of intonation in Karṇāṭaka music by parametrizing context-based Svara Distributions

Intonation is a fundamental music concept that has a special relevance in Indian art music. It is characteristic of the rāga and intrinsic to the musical expression of the performer. Describing intonation is of importance to several information retrieval tasks like the development of rāga and artist similarity measures. In our previous work, we proposed a compact representation of intonation based on the parametrization of the pitch histogram of a performance and demonstrated the usefulness of this representation through an explorative rāga recognition task in which we classified 42 vocal performances belonging to 3 rāgas using parameters of a single svara. In this paper, we extend this representation to employ context-based svara distributions, which are obtained with a different approach to find the pitches belonging to each svara. We quantitatively compare this method to our previous one, discuss the advantages, and the necessary melodic analysis to be carried out in future.

Deformed-jellium model for the fission of multiply charged metal clusters

A deformed-jellium model is used to calculate the fission barrier height of positive doubly charged sodium clusters within an extended Thomas-Fermi approximation. The fissioning cluster is continuously deformed from the parent configuration until it splits into two fragments. Although the shape of the fission barrier obviously depends on the parametrization of the fission path, we have found that remarkably, the maximum of the barrier corresponds to a configuration in which the emerging fragments are already formed and rather well apart. The implication of this finding in the calculation of critical numbers for fission is illustrated in the case of multiply charged Na clusters.

Exclusive J/Psi electroproduction in a dual model

Exclusive J/Psi electroproduction is studied in the framework of the analytic S-matrix theory. The differential and integrated elastic cross sections are calculated using the modified dual amplitude with Mandelstam analyticity model. The model is applied to the description of the available experimental data and proves to be valid in a wide region of the kinematical variables s, t, and Q(2). Our amplitude can be used also as a universal background parametrization for the extraction of tiny resonance signals.

Structural development accounting

We construct and estimate a unified model combining three of the main sources ofcross-country income disparities: differences in factor endowments, barriers to technologyadoption and the inappropriateness of frontier technologies to local conditions. The keycomponents are different types of workers, distortions to capital accumulation, directedtechnical change, costly adoption and spillovers from the world technology frontier. Despiteits parsimonious parametrization, our empirical model provides a good fit of GDP data forup to 86 countries in 1970 and 122 countries in 2000. Removing barriers to technologyadoption would increase the output per worker of the average non-OECD country relativeto the US from 0.19 to 0.61, while increasing skill premia in all countries. Removing barriersto trade in goods amplifies income disparities, induces skill-biased technology adoptionand increases skill premia in the majority of countries. These results are reverted if tradeliberalization is coupled with international IPR protection.

Global periodicity conditions for maps and recurrences via Normal Forms

We face the problem of characterizing the periodic cases in parametric families of (real or complex) rational diffeomorphisms having a fixed point. Our approach relies on the Normal Form Theory, to obtain necessary conditions for the existence of a formal linearization of the map, and on the introduction of a suitable rational parametrization of the parameters of the family. Using these tools we can find a finite set of values p for which the map can be p-periodic, reducing the problem of finding the parameters for which the periodic cases appear to simple computations. We apply our results to several two and three dimensional classes of polynomial or rational maps. In particular we find the global periodic cases for several Lyness type recurrences

Parametrización de kB-1 para estimar el flujo de calor sensible con imágenes AVHRR

La necesidad de evaluar la evapotranspiración a escala regional para la gestión de regadíos ha hecho que sean innumerables los intentos por aplicar imágenes AVHRR-NOAA en la determinación el flujo de calor sensible. La principal limitación de estos métodos es la estimación de la resistencia aerodinámica. El parámetro crítico en la expresión de la resistencia aerodinámica es kB-1. La parametrización de kB-1 ha sido infructuosa a escala regional por no disponer hasta ahora de medidas de flujo de calor sensible a escala del píxel AVHRR en superficies heterogéneas y durante toda una temporada de riegos. Para resolver esta medida de flujo se ha desarrollado el cintilómetro. En la primera parte de este trabajo se estudia la representatividad espacial de las medidas del cintilómetro. El núcleo de esta aportación consiste en la correlación entre el parámetro kB-1, el NDVI y la altura solar. Los buenos resultados obtenidos (r2=0.81) ofrecen una nueva metodología para determinar el flujo de calor sensible. La estimación de kB-1, las imágenes AVHRR y los datos meteorológicos permiten calcular el flujo de calor sensible durante toda la temporada de riegos con errores inferiores al 20%.

Study of spin polarized nuclear matter and finite nuclei with finite range simple effective interaction

The properties of spin polarized pure neutron matter and symmetric nuclear matter are studied using the finite range simple effective interaction, upon its parametrization revisited. Out of the total twelve parameters involved, we now determine ten of them from nuclear matter, against the nine parameters in our earlier calculation, as required in order to have predictions in both spin polarized nuclear matter and finite nuclei in unique manner being free from uncertainty found using the earlier parametrization. The information on the effective mass splitting in polarized neutron matter of the microscopic calculations is used to constrain the one more parameter, that was earlier determined from finite nucleus, and in doing so the quality of the description of finite nuclei is not compromised. The interaction with the new set of parameters is used to study the possibilities of ferromagnetic and antiferromagnetic transitions in completely polarized symmetric nuclear matter. Emphasis is given to analyze the results analytically, as far as possible, to elucidate the role of the interaction parameters involved in the predictions.