Certified Rapid Solution of Parametrized Linear Elliptic Equations: Application to Parameter Estimation

We present a technique for the rapid and reliable evaluation of linear-functional output of elliptic partial differential equations with affine parameter dependence. The essential components are (i) rapidly uniformly convergent reduced-basis approximations — Galerkin projection onto a space WN spanned by solutions of the governing partial differential equation at N (optimally) selected points in parameter space; (ii) a posteriori error estimation — relaxations of the residual equation that provide inexpensive yet sharp and rigorous bounds for the error in the outputs; and (iii) offline/online computational procedures — stratagems that exploit affine parameter dependence to de-couple the generation and projection stages of the approximation process. The operation count for the online stage — in which, given a new parameter value, we calculate the output and associated error bound — depends only on N (typically small) and the parametric complexity of the problem. The method is thus ideally suited to the many-query and real-time contexts. In this paper, based on the technique we develop a robust inverse computational method for very fast solution of inverse problems characterized by parametrized partial differential equations. The essential ideas are in three-fold: first, we apply the technique to the forward problem for the rapid certified evaluation of PDE input-output relations and associated rigorous error bounds; second, we incorporate the reduced-basis approximation and error bounds into the inverse problem formulation; and third, rather than regularize the goodness-of-fit objective, we may instead identify all (or almost all, in the probabilistic sense) system configurations consistent with the available experimental data — well-posedness is reflected in a bounded "possibility region" that furthermore shrinks as the experimental error is decreased.

Differential effects of insulin signaling on individual carbon fluxes for fatty acid synthesis in brown adipocytes

Considering the major role of insulin signaling on fatty acid synthesis via stimulation of lipogenic enzymes, differential effects of insulin signaling on individual carbon fluxes for fatty acid synthesis have been investigated by comparing the individual lipogenic fluxes in WT and IRS-1 knockout (IRS-1 KO) brown adipocytes. Results from experiments on WT and IRS-1 KO cells incubated with [5-¹³C] glutamine were consistent with the existence of reductive carboxylation pathway. Analysis of isotopomer distribution of nine metabolites related to the lipogenic routes from glucose and glutamine in IRS-1 KO cells using [U-¹³C] glutamine as compared to that in WT cells indicated that flux through reductive carboxylation pathway was diminished while flux through conventional TCA cycle was stimulated due to absence of insulin signaling in IRS-1 KO cells. This observation was confirmed by quantitative estimation of individual lipogenic fluxes in IRS-1 KO cells and their comparison with fluxes in WT cells. Thus, these results suggest that glutamine’s substantial contribution to fatty acid synthesis can be directly manipulated by controlling the flux through reductive carboxylation of alpha-ketoglutarate to citrate using hormone (insulin).

SCAPA (Spacially Addressable Protein Array) – a Novel Protein Array for the Differential Profiling of Ligand-receptor Induced Signalling

While protein microarray technology has been successful in demonstrating its usefulness for large scale high-throughput proteome profiling, performance of antibody/antigen microarrays has been only moderately productive. Immobilization of either the capture antibodies or the protein samples on solid supports has severe drawbacks. Denaturation of the immobilized proteins as well as inconsistent orientation of antibodies/ligands on the arrays can lead to erroneous results. This has prompted a number of studies to address these challenges by immobilizing proteins on biocompatible surfaces, which has met with limited success. Our strategy relates to a multiplexed, sensitive and high-throughput method for the screening quantification of intracellular signalling proteins from a complex mixture of proteins. Each signalling protein to be monitored has its capture moiety linked to a specific oligo ‘tag’. The array involves the oligonucleotide hybridization-directed localization and identification of different signalling proteins simultaneously, in a rapid and easy manner. Antibodies have been used as the capture moieties for specific identification of each signaling protein. The method involves covalently partnering each antibody/protein molecule with a unique DNA or DNA derivatives oligonucleotide tag that directs the antibody to a unique site on the microarray due to specific hybridization with a complementary tag-probe on the array. Particular surface modifications and optimal conditions allowed high signal to noise ratio which is essential to the success of this approach.

Differential epipolar constraint in mobile robot egomotion estimation

The estimation of camera egomotion is a well established problem in computer vision. Many approaches have been proposed based on both the discrete and the differential epipolar constraint. The discrete case is mainly used in self-calibrated stereoscopic systems, whereas the differential case deals with a unique moving camera. The article surveys several methods for mobile robot egomotion estimation covering more than 0.5 million samples using synthetic data. Results from real data are also given

Local model predictive control experiences with differential driven wheeled mobile robots

This work extends a previously developed research concerning about the use of local model predictive control in differential driven mobile robots. Hence, experimental results are presented as a way to improve the methodology by considering aspects as trajectory accuracy and time performance. In this sense, the cost function and the prediction horizon are important aspects to be considered. The aim of the present work is to test the control method by measuring trajectory tracking accuracy and time performance. Moreover, strategies for the integration with perception system and path planning are briefly introduced. In this sense, monocular image data can be used to plan safety trajectories by using goal attraction potential fields

Use of multilevel logistic regression to identify the causes of differential item functioning

Resumen tomado de la publicaci??n

Ordinary Differential Equations

Exercises and solutions about ordinary differential equations.

Differential Equations II

Exercises and solutions for a second year differential equations course.

Using Word Count features in MS Word 2010

Knowing the number of words in a Word 2010 document or in a text selection within a file can be very useful. See how to use Word’s word count features. For best viewing Download the video.

Using Word Count features in MS Word 2011

Knowing the number of words in a Word 2011 document or in a text selection within a file can be very useful. See how to use Word’s word count features. For best viewing Download the video.

INFO6003 (2013) Differential Privacy -- Overview Paper

Cynthia Dwork: A Firm Foundation for Private Data Analysis Required reading

The differential effect on dropout of increasing grades' supply by integrating or expanding schools: evidence from a quasi-experiment in Bogotá

En el año 2002, la Secretaría de Educación de Bogotá estipuló la Resolución 2101 que tenía por objeto asegurar el ciclo de la educación completo en los colegios públicos. El propósito de este trabajo es evaluar el impacto de los mecanismos seguidos a la aplicación de esta política sobre la tasa de deserción escolar. Las escuelas tenían tres mecanismos diferentes para alcanzar el objetivo de la presente resolución: expandir los grados escolares ofertados, integrarse con otros colegios de la zona, o ambos. Para ello, utilizo variables instrumentales para resolver el sesgo causado por el hecho de que los colegios que siguen determinada estrategia eran los que tenían altas tasas de deserción inicialmente. Usando datos sobre las características institucionales y las características socio-demográficas de la población cerca del colegio, evalúo el impacto de estos tres mecanismos sobre las tasas de deserción escolar. Los resultados sugieren que las instituciones que aumentaron los grados experimentan un aumento en el número de estudiantes que abandonan el colegio en 12.1 puntos porcentuales, mientras que las instituciones que complementaron este mecanismo con la integración de un colegio próximo pre existente mostraron una reducción en la tasa de deserción escolar de 9.8 puntos porcentuales.

Spot can count.

Spot puede contar del 1 al 10. Y para probar esta habilidad hace un viaje a la granja con su papá. A los niños les encantará aprender a contar con Spot y sus amigos del corral, y compartir la diversión de encontrar las respuestas escondidas bajo las solapas.

Out for the count : a counting adventure.

Tom no puede dormir aunque está rodeado de sus juguetes de peluche, por lo que su padre le sugiere que intente contar ovejas. Comienza a contar , pero la séptima oveja, delgada y ágil, desaparece por el armario del dormitorio antes de que el niño pestañee. El niño intenta contar otras criaturas y es sorprendido por lobos, pitones, cabras monteses, piratas, pingüinos, vampiros, fantasmas, y tigres hasta que, afortunadamente, cierra la puerta apaga la luz, y puede dormir. El cuento es acumulativo en verso. En doble página aparecen las criaturas en una variedad de tamaños, ángulos y formas, dando la sensación de movimiento. La página de la derecha es un recuadro de texto y conjuntos de siluetas. Para leer en voz alta, y para contar hasta cien. El texto es ideal para llamar la atención sobre la gran variedad de opciones de palabras y ortografía.