Maximum Entropy Vector Kernels for MIMO system identification

Recent contributions have framed linear system identification as a nonparametric regularized inverse problem. Relying on $\ell_2$-type regularization which accounts for the stability and smoothness of the impulse response to be estimated, these approaches have been shown to be competitive w.r.t classical parametric methods. In this paper, adopting Maximum Entropy arguments, we derive a new $\ell_2$ penalty deriving from a vector-valued kernel; to do so we exploit the structure of the Hankel matrix, thus controlling at the same time complexity, measured by the McMillan degree, stability and smoothness of the identified models. As a special case we recover the nuclear norm penalty on the squared block Hankel matrix. In contrast with previous literature on reweighted nuclear norm penalties, our kernel is described by a small number of hyper-parameters, which are iteratively updated through marginal likelihood maximization; constraining the structure of the kernel acts as a (hyper)regularizer which helps controlling the effective degrees of freedom of our estimator. To optimize the marginal likelihood we adapt a Scaled Gradient Projection (SGP) algorithm which is proved to be significantly computationally cheaper than other first and second order off-the-shelf optimization methods. The paper also contains an extensive comparison with many state-of-the-art methods on several Monte-Carlo studies, which confirms the effectiveness of our procedure

Bayesian and regularization approaches to multivariable linear system identification: the role of rank penalties

Recent developments in linear system identification have proposed the use of non-parameteric methods, relying on regularization strategies, to handle the so-called bias/variance trade-off. This paper introduces an impulse response estimator which relies on an $\ell_2$-type regularization including a rank-penalty derived using the log-det heuristic as a smooth approximation to the rank function. This allows to account for different properties of the estimated impulse response (e.g. smoothness and stability) while also penalizing high-complexity models. This also allows to account and enforce coupling between different input-output channels in MIMO systems. According to the Bayesian paradigm, the parameters defining the relative weight of the two regularization terms as well as the structure of the rank penalty are estimated optimizing the marginal likelihood. Once these hyperameters have been estimated, the impulse response estimate is available in closed form. Experiments show that the proposed method is superior to the estimator relying on the "classic" $\ell_2$-regularization alone as well as those based in atomic and nuclear norm.Comment: to appear in IEEE Conference on Decision and Control, 201

Classical vs. Bayesian methods for linear system identification: point estimators and confidence sets

This paper compares classical parametric methods with recently developed Bayesian methods for system identification. A Full Bayes solution is considered together with one of the standard approximations based on the Empirical Bayes paradigm. Results regarding point estimators for the impulse response as well as for confidence regions are reported.Comment: number of pages = 8, number of figures =

Estimating effective connectivity in linear brain network models

Contemporary neuroscience has embraced network science to study the complex and self-organized structure of the human brain; one of the main outstanding issues is that of inferring from measure data, chiefly functional Magnetic Resonance Imaging (fMRI), the so-called effective connectivity in brain networks, that is the existing interactions among neuronal populations. This inverse problem is complicated by the fact that the BOLD (Blood Oxygenation Level Dependent) signal measured by fMRI represent a dynamic and nonlinear transformation (the hemodynamic response) of neuronal activity. In this paper, we consider resting state (rs) fMRI data; building upon a linear population model of the BOLD signal and a stochastic linear DCM model, the model parameters are estimated through an EM-type iterative procedure, which alternately estimates the neuronal activity by means of the Rauch-Tung-Striebel (RTS) smoother, updates the connections among neuronal states and refines the parameters of the hemodynamic model; sparsity in the interconnection structure is favoured using an iteratively reweighting scheme. Experimental results using rs-fMRI data are shown demonstrating the effectiveness of our approach and comparison with state of the art routines (SPM12 toolbox) is provided

A view from inside iron-based superconductors

Muon spin spectroscopy is one of the most powerful tools to investigate the microscopic properties of superconductors. In this manuscript, an overview on some of the main achievements obtained by this technique in the iron-based superconductors (IBS) are presented. It is shown how the muons allow to probe the whole phase diagram of IBS, from the magnetic to the superconducting phase, and their sensitivity to unravel the modifications of the magnetic and the superconducting order parameters, as the phase diagram is spanned either by charge doping, by an external pressure or by introducing magnetic and non-magnetic impurities. Moreover, it is highlighted that the muons are unique probes for the study of the nanoscopic coexistence between magnetism and superconductivity taking place at the crossover between the two ground-states.Comment: 28 pages, 18 figure

A importância da ética para o profissional da área contábil: caso Sauer Contabilidade S/S Ltda.

TCC (Graduação) - Universidade Federal de Santa Catarina. Centro Socioeconômico. Curso de Ciências ContábeisEste trabalho teve como tema Identificar a importância da ética para o profissional da área contábil, por meio de uma pesquisa de campo realizada na Empresa Contábil: Ildomar Sauer, localizada no Município de Sananduva/RS. A pesquisa configurou-se como qualitativa e exploratória. Para atingir os objetivos propostos neste trabalho, a coleta dos dados foi mediante a pesquisa de campo, onde foi aplicado 01 (um) questionário composto por perguntas fechadas e abertas, envolvendo os 06 colaboradores da empresa estudada. No entanto, o resultado da pesquisa mostrou que os colaboradores entrevistados, buscam realizar suas atividades dentro dos valores éticos, trabalhando com honestidade e comprometimento em suas ações. Embora, nem todos os colaboradores possuam conhecimento sobre o código de ética, realizam suas atividades dentro da boa conduta, discutindo situações nas quais poderiam afetar a dignidade profissional antes de haver envolvimento total. Além de preservarem as informações confidencias, nas quais são atribuídas em seu ambiente de trabalho, buscam cumprir com o seu dever da forma mais correta possível. Portanto, pode-se dizer que a ética é um dos fatores primordiais na profissão da área contábil

Anomalous lattice contraction and emergent electronic phases in Bi-doped Eu2_2Ir2_2O7_7

We study the pyrochlore series (Eu$_{1-x}$Bi$_x$)$_2$Ir$_2$O$_7$ for $0 \leq x \leq 1$. We show that for small $x$, the lattice undergoes an anomalous contraction but the all-in/all-out and metal-to-insulator transitions remain robust, and the resistivity approaches a $1/T$ dependence at low-T, suggesting proximity to the Weyl semimetallic phase, as previously predicted theoretically. At the boundary between Eu$_2$Ir$_2$O$_7$ and Bi$_2$Ir$_2$O$_7$ a qualitatively different ground state emerges, which is characterized by its unusual metallic behavior and absence of magnetic ordering at least down to $0.02$ K.Comment: 5 Pages, 4 figure

Fate of Neospora-seropositive animals: an opinion

Neospora caninum is an abortive protozoon in cattle, which causes severe economic losses worldwide. Chronically infected cattle however develop immune responses protecting against further Neospora induced abortions. Controversy about losses other than abortion in Neospora-infected cattle still exists. Although, culling of seropositive animals has been recommended as a strategy for reducing economic losses due to N. caninum, there is no guarantee of escaping postnatal infection and abortion storms by having a "Neospora-sterile herd". An inactivated vaccine has been demonstrated to reduce abortion rates. Antibodies generated by natural infection can not presently be differentiated from those induced by vaccination; however, since maternal antibodies disappear by 6 months in calves born to vaccinated heifers, a test-and cull strategy could be performed in replacement heifers before breeding and vaccination. This review article discusses control strategies for Neospora-infection in cattle, and provides suggestions for further research.Neospora caninum es un protozoo que causa abortos en los bovinos produciendo importantes pérdidas económicas en todo el mundo. Existe evidencia reciente que demuestra que los bovinos infectados en forma crónica desarrollan mecanismos inmunes de protección contra el aborto causado por N. caninum. Por otro lado, la existencia de otras pérdidas económicas distintas del aborto es aún tema de controversia. Aunque la eliminación de bovinos seropositivos a la enfermedad a sido recomendado como medida de control sanitaria, un rodeo libre de infección no está exento de sufrir una exposición postnatal y "tormentas" de abortos. La utilización de una vacuna inactivada disminuye la tasa de abortos; sin embargo los anticuerpos vacunales no pueden ser diferenciados de aquellos producidos por infecciones naturales. Considerando que los anticuerpos maternos desaparecen a los 6 meses de vida, la serología de terneras de reemplazo antes del servicio y la vacunación podría ser una posible estrategia de control. Este artículo discute las estrategias de control para limitar la difusión de la neosporosis en bovinos y brinda posibles líneas de investigación.EEA BalcarceFil: Moore, Dadín Prando. Instituto Nacional de Tecnología Agropecuaria (INTA). Estación Experimental Agropecuaria Balcarce; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET); Argentina