Grey-box radial basis function modelling: the art of incorporating prior knowledge

A basic principle in data modelling is to incorporate available a priori information regarding the underlying data generating mechanism into the modelling process. We adopt this principle and consider grey-box radial basis function (RBF) modelling capable of incorporating prior knowledge. Specifically, we show how to explicitly incorporate the two types of prior knowledge: the underlying data generating mechanism exhibits known symmetric property and the underlying process obeys a set of given boundary value constraints. The class of orthogonal least squares regression algorithms can readily be applied to construct parsimonious grey-box RBF models with enhanced generalisation capability.

Grey-box radial basis function modelling

A fundamental principle in data modelling is to incorporate available a priori information regarding the underlying data generating mechanism into the modelling process. We adopt this principle and consider grey-box radial basis function (RBF) modelling capable of incorporating prior knowledge. Specifically, we show how to explicitly incorporate the two types of prior knowledge: (i) the underlying data generating mechanism exhibits known symmetric property, and (ii) the underlying process obeys a set of given boundary value constraints. The class of efficient orthogonal least squares regression algorithms can readily be applied without any modification to construct parsimonious grey-box RBF models with enhanced generalisation capability.

The underlying return generating factors for REIT returns: an application of independent component analysis

Multi-factor approaches to analysis of real estate returns have, since the pioneering work of Chan, Hendershott and Sanders (1990), emphasised a macro-variables approach in preference to the latent factor approach that formed the original basis of the arbitrage pricing theory. With increasing use of high frequency data and trading strategies and with a growing emphasis on the risks of extreme events, the macro-variable procedure has some deficiencies. This paper explores a third way, with the use of an alternative to the standard principal components approach – independent components analysis (ICA). ICA seeks higher moment independence and maximises in relation to a chosen risk parameter. We apply an ICA based on kurtosis maximisation to weekly US REIT data using a kurtosis maximising algorithm. The results show that ICA is successful in capturing the kurtosis characteristics of REIT returns, offering possibilities for the development of risk management strategies that are sensitive to extreme events and tail distributions.

Dysregulated circulating dendritic cell function in ulcerative colitis is partially restored by probiotic strain Lactobacillus casei Shirota

BACKGROUND: Dendritic cells regulate immune responses to microbial products and play a key role in ulcerative colitis (UC) pathology. We determined the immunomodulatory effects of probiotic strain Lactobacillus casei Shirota (LcS) on human DC from healthy controls and active UC patients. METHODS: Human blood DC from healthy controls (control-DC) and UC patients (UC-DC) were conditioned with heat-killed LcS and used to stimulate allogeneic T cells in a 5-day mixed leucocyte reaction. RESULTS: UC-DC displayed a reduced stimulatory capacity for T cells (P < 0.05) and enhanced expression of skin-homing markers CLA and CCR4 on stimulated T cells (P < 0.05) that were negative for gut-homing marker β7. LcS treatment restored the stimulatory capacity of UC-DC, reflecting that of control-DC. LcS treatment conditioned control-DC to induce CLA on T cells in conjunction with β7, generating a multihoming profile, but had no effects on UC-DC. Finally, LcS treatment enhanced DC ability to induce TGFβ production by T cells in controls but not UC patients. CONCLUSIONS: We demonstrate a systemic, dysregulated DC function in UC that may account for the propensity of UC patients to develop cutaneous manifestations. LcS has multifunctional immunoregulatory activities depending on the inflammatory state; therapeutic effects reported in UC may be due to promotion of homeostasis.

On a moment problem associated with Chebyshev polynomials

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Generating inclusive and sustainable growth: the role of policy and multilevel fiscal institutions

Incluye bibliografía

O Raciocínio lógico-matemático: sua estrutura neurofisiológica e aplicações à educação matemática

Pós-graduação em Educação Matemática - IGCE

The McDonald inverted beta distribution

We introduce a five-parameter continuous model, called the McDonald inverted beta distribution, to extend the two-parameter inverted beta distribution and provide new four- and three-parameter sub-models. We give a mathematical treatment of the new distribution including expansions for the density function, moments, generating and quantile functions, mean deviations, entropy and reliability. The model parameters are estimated by maximum likelihood and the observed information matrix is derived. An application of the new model to real data shows that it can give consistently a better fit than other important lifetime models. (C) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

Effectiveness of a long-term use of a minimalist footwear versus habitual shoe on pain, function and mechanical loads in knee osteoarthritis: a randomized controlled trial

Background: Recent studies have shown an important reduction of joint overload during locomotion in elderly women with knee osteoarthritis (OA) after short- term use of minimalist shoes. Our aim is to investigate the chronic effect of inexpensive and minimalist footwear on the clinical and functional aspects of OA and gait biomechanics of elderly women with knee OA. Methods/Design: Fifty-six elderly women with knee OA grade 2 or 3 (Kellgren and Lawrence) are randomized into blocks and allocated to either the intervention group, which will use flexible, non-heeled shoes-Moleca (R)-for six months for at least six hours daily, or the control group, which could not use these shoes. Neither group is undergoing physical therapy treatment throughout the intervention period. Moleca (R) is a women's double canvas, flexible, flat walking shoe without heels, with a 5-mm anti-slip rubber sole and a 3-mm internal wedge of ethylene vinyl acetate. Both groups will be followed for six months and will be assessed at baseline condition, after three months, and after six months (end of intervention). All the assessments will be performed by a physiotherapist that is blind to the group allocation. The primary outcome is the pain Western Ontario and McMaster Universities Osteoarthritis (WOMAC) score. The secondary outcomes are global WOMAC score; joint stiffness and disability WOMAC scores; knee pain with a visual analogue scale; walking distance in the six-minute walk test; Lequesne score; amount and frequency (number of days) of paracetamol (500 mg) intake over six months; knee adduction moment during gait; global medical assessment score; and global patient auto-assessment score. At baseline, all patients receive a diary to record the hours of daily use of the footwear intervention; every two weeks, the same physiotherapist makes phone calls to all patients in order to verify adherence to treatment. The statistical analysis will be based on intention to treat analysis, as well as general linear models of analysis of variance for repeated measure to detect treatment-time interactions (alpha = 5%). Discussion: This is the first randomized, clinical trial protocol to assess the chronic effect of minimalist footwear on the clinical and functional aspects and gait biomechanics of elderly women with knee osteoarthritis. We expect that the use of Moleca (R) shoes for six months will provide pain relief, reduction of the knee adduction moment when walking, and improve joint function in elderly women with knee OA, and that the treatment, thus, can be considered another inexpensive and easy-to-use option for conservative OA treatment.

Analysing the possible influence of transposon TCl4.7 insertion on the function of the genome of Cydia pomonella granulovirus

CpGV-MCp5 is a natural mutant of the Cydia pomonella Granulovirus (Mexican isolate) (CpGV-M) that harbors an insect host transposon termed TCl4.7 in its genome. TCl4.7 is located between the open reading frames Cp15 and Cp16 and separates two homologous regions hr3 and hr4, which have been recently shown to be origins of replication of CpGV-M. The MCp5 has a significant replication disadvantage in the presence of the wild-type CpGV-M. In this study, the possible effects of TCl4.7 transposon insertion on the genome function of its insertion site has been analysed. The role of Cp15 and Cp16 in the context of the virus infection cycle was examined by generating a CpGV-Bacmid (CpBAC) and Cp15 knock-out (CpBACCp15KO) and Cp16 knock-out (CpBACCp16KO) mutants. The mutant CpBACCp15KO was not able to replicate in CM larvae suggesting that Cp15 was essential for virus replication. In contrast, the mutant CpBACCp16KO infected CM larvae and produced viable occlusion bodies (OBs) demonstrating that Cp16 is a non-essential gene for virus in vivo infection of C. pomonella. The temporal transcription of Cp15 and Cp16, as well as of Cp31 (F protein) as a control, was analysed using RT-PCR and quantitative real-time PCR. It suggested a general delay or reduction of gene transcription of MCp5 compared to the parental CpGV-M. Western blot analyses using anti-Cp15 and anti-Cp16 polyclonal antibodies, however, did not show any immuno-reactive response. Thus, a direct influence of TCl4.7 on the expression of Cp15 and Cp16 could not be substantiated. To investigate whether the interruption of hr3 and hr4 palindromes affects the virus replication, two mutant bacmids with a deletion of hr3 and hr4 (CpBAChr3/hr4-KO) and another with an insertion of a Kanamycin resistance cassette between hr3 and hr4 (CpBAChr3-kan-hr4) were generated. Both mutant bacmids replicated and produced infectious virus OBs, which did not significantly differ in their median lethal concentration (LC50) and median survival time (ST50) compared to the parental CpBAC. Interestingly, the mutant CpBAChr3-kan-hr4 was very effectively out-competed by parental CpBAC, when CM larvae were co-infected with known ratios of OBs of CpBAC and the mutant CpBAChr3-kan-hr4. These observations suggested a functional co-operation between hr3 and hr4 which was interrupted by the KanR insertion in CpBAChr3-kan-hr4 and possibly by TCl4.7 transposon insertion in the mutant MCp5. This hypothesis may explain the observed replication disadvantage of the mutants MCp5 and CpBAChr3-kan-hr4 in the presence of the parental viruses CpGV-M and CpBAC, respectively.

Function of liver activation-regulated chemokine/CC chemokine ligand 20 is differently affected by cathepsin B and cathepsin D processing

Chemokine processing by proteases is emerging as an important regulatory mechanism of leukocyte functions and possibly also of cancer progression. We screened a large panel of chemokines for degradation by cathepsins B and D, two proteases involved in tumor progression. Among the few substrates processed by both proteases, we focused on CCL20, the unique chemokine ligand of CCR6 that is expressed on immature dendritic cells and subtypes of memory lymphocytes. Analysis of the cleavage sites demonstrate that cathepsin B specifically cleaves off four C-terminally located amino acids and generates a CCL20(1-66) isoform with full functional activity. By contrast, cathepsin D totally inactivates the chemotactic potency of CCL20 by generating CCL20(1-55), CCL20(1-52), and a 12-aa C-terminal peptide CCL20(59-70). Proteolytic cleavage of CCL20 occurs also with chemokine bound to glycosaminoglycans. In addition, we characterized human melanoma cells as a novel CCL20 source and as cathepsin producers. CCL20 production was up-regulated by IL-1alpha and TNF-alpha in all cell lines tested, and in human metastatic melanoma cells. Whereas cathepsin D is secreted in the extracellular milieu, cathepsin B activity is confined to cytosol and cellular membranes. Our studies suggest that CCL20 processing in the extracellular environment of melanoma cells is exclusively mediated by cathepsin D. Thus, we propose a model where cathepsin D inactivates CCL20 and possibly prevents the establishment of an effective antitumoral immune response in melanomas.

Kernel Estimation of Rate Function for Recurrent Event Data

Recurrent event data are largely characterized by the rate function but smoothing techniques for estimating the rate function have never been rigorously developed or studied in statistical literature. This paper considers the moment and least squares methods for estimating the rate function from recurrent event data. With an independent censoring assumption on the recurrent event process, we study statistical properties of the proposed estimators and propose bootstrap procedures for the bandwidth selection and for the approximation of confidence intervals in the estimation of the occurrence rate function. It is identified that the moment method without resmoothing via a smaller bandwidth will produce curve with nicks occurring at the censoring times, whereas there is no such problem with the least squares method. Furthermore, the asymptotic variance of the least squares estimator is shown to be smaller under regularity conditions. However, in the implementation of the bootstrap procedures, the moment method is computationally more efficient than the least squares method because the former approach uses condensed bootstrap data. The performance of the proposed procedures is studied through Monte Carlo simulations and an epidemiological example on intravenous drug users.

Generating Realistic Camera Shake for Virtual Scenes

When depicting both virtual and physical worlds, the viewer's impression of presence in these worlds is strongly linked to camera motion. Plausible and artist-controlled camera movement can substantially increase scene immersion. While physical camera motion exhibits subtle details of position, rotation, and acceleration, these details are often missing for virtual camera motion. In this work, we analyze camera movement using signal theory. Our system allows us to stylize a smooth user-defined virtual base camera motion by enriching it with plausible details. A key component of our system is a database of videos filmed by physical cameras. These videos are analyzed with a camera-motion estimation algorithm (structure-from-motion) and labeled manually with a specific style. By considering spectral properties of location, orientation and acceleration, our solution learns camera motion details. Consequently, an arbitrary virtual base motion, defined in any conventional animation package, can be automatically modified according to a user-selected style. In an animation package the camera motion base path is typically defined by the user via function curves. Another possibility is to obtain the camera path by using a mixed reality camera in motion capturing studio. As shown in our experiments, the resulting shots are still fully artist-controlled, but appear richer and more physically plausible.

Early stages of experimental colon carcinogenesis inhibit mast cell-dependent mucosal immune function of the distal colon

Inhibition of local host immune reactions is one mechanism contributing to tumor progression. To determine if alterations in local immune functioning occur during colon carcinogenesis, a model mucosal immune response, type I hypersensitivity against the intestinal parasite Trichinella spiralis, was first characterized in normal mice and then examined during experimental colon carcinogenesis. Segments of sensitized colon mounted in Ussing chambers and challenged with T. spiralis-derived antigen resulted in a rise in short-circuit current ($\rm\Delta I\sb{sc}$) that was antigen-specific and inhibited by furosemide, implicating epithelial Cl$\sp-$ secretion as the ionic mechanism. The immune-regulated Cl$\sp-$ secretion by colonic epithelial cells required the presence of mast cells with surface IgE. Inhibition of potential anaphylactic mediators with various pharmacological agents in vitro implicated prostaglandins and leukotrienes as the principal mediators of the antigen-induced $\rm\Delta I\sb{sc}$, with 5-hydroxytryptamine also playing a role. Distal colon from immune mice fed an aspirin-containing diet (800 mg/kg powdered diet) ad libitum for 6 wk had a decreased response to antigen, confirming the major role of prostaglandins in generating the colonic I$\sb{\rm sc}$. To determine the effects of early stages of colon carcinogenesis on this mucosal immune response, mice were immunized with T. spiralis 1 day after or 8 wk prior to the first of 6 weekly injections of the procarcinogen 1,2-dimethylhydrazine (DMH). Responsiveness to antigenic challenge was suppressed in the distal colon 4-6 wk after the final injection of DMH. One injection of DMH was not sufficient to inhibit antigen responsiveness. The colonic epithelium remained sensitive to direct stimulation by exogenous Cl$\sp-$ secretagogues. Decreased antigen-induced $\rm\Delta I\sb{sc}$ in the distal colon was not due to systemic immune suppression by DMH, as the proximal colon and jejunum maintained responsiveness to antigen. Also, rejection of a secondary T. spiralis infection from the small intestine was not altered. Tumors eventually developed 25-30 wk after the final injection of DMH only in the distal portions of the colon. These results suggest that early stages of DMH-induced colon carcinogenesis manipulate the microenvironment such that mucosal immune function, as measured by immune-regulated Cl$\sp-$ secretion, is suppressed in the distal colon, but not in other regions of the gut. Future elucidation of the mechanisms by which this localized inhibition of immune-mediated ion transport occurs may provide possible clues to the microenvironmental changes necessary for tumor progression in the distal colon. ^

Bounds for the probability generating functional of a Gibbs point process

We derive explicit lower and upper bounds for the probability generating functional of a stationary locally stable Gibbs point process, which can be applied to summary statistics such as the F function. For pairwise interaction processes we obtain further estimates for the G and K functions, the intensity, and higher-order correlation functions. The proof of the main result is based on Stein's method for Poisson point process approximation.