Exact Phase Retrieval in Principal Shift-Invariant Spaces

We address the problem of phase retrieval from Fourier transform magnitude spectrum for continuous-time signals that lie in a shift-invariant space spanned by integer shifts of a generator kernel. The phase retrieval problem for such signals is formulated as one of reconstructing the combining coefficients in the shift-invariant basis expansion. We develop sufficient conditions on the coefficients and the bases to guarantee exact phase retrieval, by which we mean reconstruction up to a global phase factor. We present a new class of discrete-domain signals that are not necessarily minimum-phase, but allow for exact phase retrieval from their Fourier magnitude spectra. We also establish Hilbert transform relations between log-magnitude and phase spectra for this class of discrete signals. It turns out that the corresponding continuous-domain counterparts need not satisfy a Hilbert transform relation; notwithstanding, the continuous-domain signals can be reconstructed from their Fourier magnitude spectra. We validate the reconstruction guarantees through simulations for some important classes of signals such as bandlimited signals and piecewise-smooth signals. We also present an application of the proposed phase retrieval technique for artifact-free signal reconstruction in frequency-domain optical-coherence tomography (FDOCT).

Upper bound on cubicity in terms of boxicity for graphs of low chromatic number

The boxicity (respectively cubicity) of a graph G is the least integer k such that G can be represented as an intersection graph of axis-parallel k-dimensional boxes (respectively k-dimensional unit cubes) and is denoted by box(G) (respectively cub(G)). It was shown by Adiga and Chandran (2010) that for any graph G, cub(G) <= box(G) log(2) alpha(G], where alpha(G) is the maximum size of an independent set in G. In this note we show that cub(G) <= 2 log(2) X (G)] box(G) + X (G) log(2) alpha(G)], where x (G) is the chromatic number of G. This result can provide a much better upper bound than that of Adiga and Chandran for graph classes with bounded chromatic number. For example, for bipartite graphs we obtain cub(G) <= 2(box(G) + log(2) alpha(G)] Moreover, we show that for every positive integer k, there exist graphs with chromatic number k such that for every epsilon > 0, the value given by our upper bound is at most (1 + epsilon) times their cubicity. Thus, our upper bound is almost tight. (c) 2015 Elsevier B.V. All rights reserved.

Empirical Analysis of Sampling Based Estimators for Evaluating RBMs

The Restricted Boltzmann Machines (RBM) can be used either as classifiers or as generative models. The quality of the generative RBM is measured through the average log-likelihood on test data. Due to the high computational complexity of evaluating the partition function, exact calculation of test log-likelihood is very difficult. In recent years some estimation methods are suggested for approximate computation of test log-likelihood. In this paper we present an empirical comparison of the main estimation methods, namely, the AIS algorithm for estimating the partition function, the CSL method for directly estimating the log-likelihood, and the RAISE algorithm that combines these two ideas.

Hierarchy of structure functions for passive scalars advected by turbulent flows

A hierarchical model is proposed for the joint moments of the passive scalar dissipation and the velocity dissipation in fluid turbulence. This model predicts that the joint probability density function (PDF) of the dissipations is a bivariate log-Poisson. An analytical calculation of the scaling exponents of structure functions of the passive scalar is carried out for this hierarchical model, showing a good agreement with the results of direct numerical simulations and experiments.

Efecto de diferentes proporciones de caña de azucar (Saccharum officinarum), pasto Taiwan (Pennisetum purpureum) y melaza sobre la composicion quimica del ensilaje de marango (Moringa oleifera)

El presente estudio se realizó en la finca “Santa Rosa” propiedad de la Universidad Nacional Agraria, localizada geográficamente a los 12°08’15’’ latitud Norte y a los 86°09’36’’ longitud Este, en el departamento de Managua. El objetivo fue evaluar el efecto de diferentes proporciones de caña de azúcar (Sacharum officinarum), pasto Taiwán (Pennisetum purpureum) y melaza sobre la composición química y microbiológica del ensilaje de Marango (Moringa oleífera). Se utilizaron 14 tratamientos con tres repeticiones cada uno para un total de 42 microsilos distribuidos en un Diseño Completamente al Azar, donde se evaluó Marango en proporciones de 31.66, 33.00, 33.33, 63.33, 66.00, 66.66, 95.00 y 99.00%, Taiwán en las mismas proporciones, Caña de azúcar en proporciones de 33.33, 66.33 y 100%, y la melaza en proporción de 1 y 5%. Las variables evaluadas fueron: Composición química (Materia seca, Proteína cruda, Cenizas, FDN, FDA, Hemicelulosa, contenido de azucares), Perfil de fermentación (pH, Acido láctico, Acido acético) y Composición microbiana (Lactobacilos, Clostridios y Enterobacterias). Se realizó Análisis de Varianza y comparaciones de medias con la Prueba de Tukey 5% utilizando MINITAB, versión 12.0. Los resultados de los análisis de varianza (P<0,05) mostraron que el mayor contenido de MS lo obtuvo el T2 (T95Mz5) con 26.89%, de PC el T7 (M99Mz1) con 15.04%, de CEN el T2 (T95Mz5) con 2.83%, de FDN el T13 (T66C34) con 77.55%, de FDA el T4 (M32T63Mz5) con 45.18%, de Hemicelulosa el T13 (T66C34) con 40.08%, el menor contenido de pH el T6 (M64T32Mz5) con 3.49 y los mayores contenidos de Acido Láctico el T8 (M95Mz5) con 51.60 mg/kg de MS, de Acido Acético el T7 (M99Mz1) con 31.10 mg/kg de MS, de Lactobacilos el T13 (T66C34) con 6.49 log UFC/g de MS y de Clostridios el T14 (T34C66) con 4.41 log UFC/g de MS. En conclusión todos los ensilados donde se incluyó Marango presentaron resultados similares en la mayoría de los parámetros químicos, sin embargo los tratamientos 7 y 8 presentaron las mejores características nutritivas, siendo una opción nutricional viable para el productor.

Temporally adaptive estimation of logistic classifiers on data streams

Modern technology has allowed real-time data collection in a variety of domains, ranging from environmental monitoring to healthcare. Consequently, there is a growing need for algorithms capable of performing inferential tasks in an online manner, continuously revising their estimates to reflect the current status of the underlying process. In particular, we are interested in constructing online and temporally adaptive classifiers capable of handling the possibly drifting decision boundaries arising in streaming environments. We first make a quadratic approximation to the log-likelihood that yields a recursive algorithm for fitting logistic regression online. We then suggest a novel way of equipping this framework with self-tuning forgetting factors. The resulting scheme is capable of tracking changes in the underlying probability distribution, adapting the decision boundary appropriately and hence maintaining high classification accuracy in dynamic or unstable environments. We demonstrate the scheme's effectiveness in both real and simulated streaming environments. © Springer-Verlag 2009.

Exploiting Chinese character models to improve speech recognition performance

The Chinese language is based on characters which are syllabic in nature. Since languages have syllabotactic rules which govern the construction of syllables and their allowed sequences, Chinese character sequence models can be used as a first level approximation of allowed syllable sequences. N-gram character sequence models were trained on 4.3 billion characters. Characters are used as a first level recognition unit with multiple pronunciations per character. For comparison the CU-HTK Mandarin word based system was used to recognize words which were then converted to character sequences. The character only system error rates for one best recognition were slightly worse than word based character recognition. However combining the two systems using log-linear combination gives better results than either system separately. An equally weighted combination gave consistent CER gains of 0.1-0.2% absolute over the word based standard system. Copyright © 2009 ISCA.

Experimental Investigation Of Particle Velocity Distributions In Windblown Sand Movement

With the PDPA (Phase Doppler Particle Analyzer) measurement technology, the probability distributions of particle impact and lift-off velocities on bed surface and the particle velocity distributions at different heights are detected in a wind tunnel. The results show that the probability distribution of impact and lift-off velocities of sand grains can be expressed by a log-normal function, and that of impact and lift-off angles complies with an exponential function. The mean impact angle is between 28 degrees and 39 degrees, and the mean lift-off angle ranges from 30 degrees to 44 degrees. The mean lift-off velocity is 0.81-0.9 times the mean impact velocity. The proportion of backward-impacting particles is 0.05-0.11, and that of backward-entrained particles ranges from 0.04 to 0.13. The probability distribution of particle horizontal velocity at 4 mm height is positive skew, the horizontal velocity of particles at 20 mm height varies widely, and the variation of the particle horizontal velocity at 80 mm height is less than that at 20 mm height. The probability distribution of particle vertical velocity at different heights can be described as a normal function.

Reconstructing The Vertical Distribution Of The Aeolian Saltation Mass Flux Based On The Probability Distribution Of Lift-Off Velocity

The probability distribution of lift-off velocity of the saltating grains is a bridge to linking microscopic and macroscopic research of aeolian sand transport. The lift-off parameters of saltating grains (i.e., the horizontal and vertical lift-off velocities, resultant lift-off velocity, and lift-off angle) in a wind tunnel are measured by using a Phase Doppler Particle Analyzer (PDPA). The experimental results show that the probability distribution of horizontal lift-off velocity of saltating particles on a bed surface is a normal function, and that of vertical lift-off velocity is an exponential function. The probability distribution of resultant lift-off velocity of saltating grains can be expressed as a log-normal function, and that of lift-off angle complies with an exponential function. A numerical model for the vertical distribution of aeolian mass flux based on the probability distribution of lift-off velocity is established. The simulation gives a sand mass flux distribution which is consistent with the field data of Namikas (Namikas, S.L., 2003. Field measurement and numerical modelling of acolian mass flux distributions on a sandy beach, Sedimentology 50, 303-326). Therefore, these findings are helpful to further understand the probability characteristics of lift-off grains in aeolian sand transport. (c) 2007 Elsevier B.V. All rights reserved.

Cyclical Features of Uzawa-Lucas Endogenous Growth Model

This paper analyzes the cyclical properties of a generalized version of Uzawa-Lucas endogenous growth model. We study the dynamic features of different cyclical components of this model characterized by a variety of decomposition methods. The decomposition methods considered can be classified in two groups. On the one hand, we consider three statistical filters: the Hodrick-Prescott filter, the Baxter-King filter and Gonzalo-Granger decomposition. On the other hand, we use four model-based decomposition methods. The latter decomposition procedures share the property that the cyclical components obtained by these methods preserve the log-linear approximation of the Euler-equation restrictions imposed by the agent’s intertemporal optimization problem. The paper shows that both model dynamics and model performance substantially vary across decomposition methods. A parallel exercise is carried out with a standard real business cycle model. The results should help researchers to better understand the performance of Uzawa-Lucas model in relation to standard business cycle models under alternative definitions of the business cycle.

An Estimated New-Keynesian Model with Unemployment as Excess Supply of Labor

Wage stickiness is incorporated to a New-Keynesian model with variable capital to drive endogenous unemployment uctuations de ned as the log di¤erence between aggregate labor supply and aggregate labor demand. We estimated such model using Bayesian econometric techniques and quarterly U.S. data. The second-moment statistics of the unemployment rate in the model give a good t to those observed in U.S. data. Our results also show that wage-push shocks, demand shifts and monetary policy shocks are the three major determinants of unemployment fl uctuations. Compared to an estimated New-Keynesian model without unemployment (Smets and Wouters, 2007): wage stickiness is higher, labor supply elasticity is lower, the slope of the New-Keynesian Phillips curve is flatter, and the importance of technology innovations on output variability increases.

Numerical Solution for Polymer Transient Flows in a Circle Bounded Composite Formation

A new numerical model for transient flows of polymer solution in a circular bounded composite formation is presented in this paper. Typical curves of the wellbore transient pressure are yielded by FEM. The effects of non-Newtonian power-law index, mobility and boundary distance have been considered. It is found that for the mobility ratio larger than 1, which is favorable for the polymer flooding, the pressure derivative curve in log-log form rises up without any hollow. On the other hand, if the pressure derivative curve has a hollow and then is raised up, we say that the polymer flooding fails. Finally, the new model has been extended to more complicated boundary case.

Efecto de la radiación visible sobre la supervivencia de Acinetobacter baumannii sobre soportes inertes

Acinetobacter baumannii es una bacteria de gran importancia clínica debido a las infecciones nosocomiales a las que se asocia. La amenaza que supone en el ámbito hospitalario está directamente relacionada con su capacidad para sobrevivir a condiciones hostiles tales como cambios de temperatura, estrés lumínico y sequedad. En este contexto, se ha estudiado el efecto de la radiación visible sobre poblaciones de A. baumannii (ATCC 19606) mantenidas a temperatura ambiente en medio líquido (condiciones de ayuno) y sobre soporte sólido (condiciones de ayuno y sequedad). Para determinar la posible pérdida de cultivabilidad y la entrada en estado viable no cultivable (VNC), las poblaciones de A. baumannii se inocularon en solución salina estéril o se fijaron a filtros de acetato de celulosa estériles y se incubaron a 20ºC en condiciones de oscuridad (control) o exposición a luz visible. A lo largo de la supervivencia, utilizando microscopía de epifluerescencia, se cuantificaron las células totales, viables y cultivables. Además, se determinó la capacidad de formar biofilms de estas poblaciones. Bajo condiciones de oscuridad, tanto en soportes sólidos como en medio líquido, no se detectó pérdida de cultivabilidad, actividad o integridad celular durante al menos 7 días. Sin embargo, la luz visible tuvo un efecto negativo sobre las poblaciones de A. baumannii expuestas tanto en medio líquido como sobre soporte sólidos. En medio líquido, si bien la radiación luminosa no afectó a la integridad celular, al finalizar el periodo de exposición (7 días) el número de células cultivables descendió 1,5 log y el 27% de la población se encontraba en estado VNC. En condiciones de sequedad, la pérdida de cultivabilidad se detectó ya desde el primer día de exposición, situándose por debajo del límite de detección tras 5 días; la densidad de células viable también disminuyó, de modo que tras 7 días de exposición el 4% de la población era VNC. Además, la capacidad de formar biofilms se vio negativamente afectada a lo largo de la permanencia tanto en luz como en oscuridad. El efecto negativo de la luz fue especialmente relevante en poblaciones mantenidas en soportes sólidos. Bajo condiciones de ayuno, A. baumannii es capaz de persistir durante periodos de tiempo de al menos una semana incluso en ausencia de humedad. Sin embargo, la exposición de radiación luminosa induce la entrada en estado VNC en estas mismas condiciones, siendo este efecto negativo más acusado en condiciones de ayuno y sequedad.

Identification and estimation of size from the beaks of 18 species of cephalopods from the Pacific Ocean

A method of identifying the beaks and estimating body weight and mantle length of 18 species of cephalopods from the Pacific Ocean is presented. Twenty specimens were selected from each of the following cephalopod species: Symplectoteuthis oualaniensis, Dosidicus gigas, Ommastrephes bartramii, S. luminosa, Todarodes pacificus, Nototodarus hawaiiensis, Ornithoteuthis volalilis, Hyaloteuthis pelagica, Onychoteuthis banksii, Pterygioteuthis giardi, Abraliopsis affinis, A. felis, Liocranchia reinhardti, Leachia danae, Histioteuthis heteropsis, H. dofleini, Gonalus onyx, and Loligo opalescens. Dimensions measured on the upper and lower beak are converted to ratios and compared individually among the species using an analysis of variance procedure with Tukey's omega and Duncan's multiple range tests. Significant differences (P =0.05) observed among the species' beak ratio means and structural characteristics are used to construct artificial keys for the upper and lower beaks of the 18 species. Upper and lower beak dimensions are used as independent variables in a linear regression model with mantle length and body weight (log transformed). (PDF file contains 56 pages.)

A High Degree of LINE-1 Hypomethylation Is a Unique Feature of Early-Onset Colorectal Cancer

12 p.