Minimax estimation of the Wigner function in quantum homodyne tomography with ideal detectors

We estimate the quantum state of a light beam from results of quantum homodyne measurements performed on identically prepared pulses. The state is represented through the Wigner function, a ``quasi-probability density'' on $\mathbb{R}^{2}$ which may take negative values and must respect intrinsic positivity constraints imposed by quantum physics. The data consists of $n$ i.i.d. observations from a probability density equal to the Radon transform of the Wigner function. We construct an estimator for the Wigner function, and prove that it is minimax efficient for the pointwise risk over a class of infinitely differentiable functions. A similar result was previously derived by Cavalier in the context of positron emission tomography. Our work extends this result to the space of smooth Wigner functions, which is the relevant parameter space for quantum homodyne tomography.Comment: 15 page

Addressing the Disproportionate Representation of Culturally and Linguistically Diverse Students in Special Education

This is the published version, also found here: http://epaa.asu.edu/ojs/article/view/143/269In this article, we present a conceptual framework for addressing the disproportionate representation of culturally and linguistically diverse students in special education. The cornerstone of our approach to addressing disproportionate representation is through the creation of culturally responsive educational systems. Our goal is to assist practitioners, researchers, and policy makers in coalescing around culturally responsive, evidence-based interventions and strategic improvements in practice and policy to improve students’ educational opportunities in general education and reduce inappropriate referrals to and placement in special education. We envision this work as cutting across three interrelated domains: policies, practices, and people. Policies include those guidelines enacted at federal, state, district, and school levels that influence funding, resource allocation, accountability, and other key aspects of schooling. We use the notion of practice in two ways, in the instrumental sense of daily practices that all cultural beings engage in to navigate and survive their worlds, and also in a technical sense to describe the procedures and strategies devised for the purpose of maximizing students’ learning outcomes. People include all those in the broad educational system: administrators, teacher educators, teachers, community members, families, and the children whose opportunities we wish to improve. Keywords: special education; disproportionate representation; culturally responsive education; cultural diversity; linguistic diversity

Optimal estimation of qubit states with continuous time measurements

We propose an adaptive, two steps strategy, for the estimation of mixed qubit states. We show that the strategy is optimal in a local minimax sense for the trace norm distance as well as other locally quadratic figures of merit. Local minimax optimality means that given $n$ identical qubits, there exists no estimator which can perform better than the proposed estimator on a neighborhood of size $n^{-1/2}$ of an arbitrary state. In particular, it is asymptotically Bayesian optimal for a large class of prior distributions. We present a physical implementation of the optimal estimation strategy based on continuous time measurements in a field that couples with the qubits. The crucial ingredient of the result is the concept of local asymptotic normality (or LAN) for qubits. This means that, for large $n$, the statistical model described by $n$ identically prepared qubits is locally equivalent to a model with only a classical Gaussian distribution and a Gaussian state of a quantum harmonic oscillator. The term `local' refers to a shrinking neighborhood around a fixed state $\rho_{0}$. An essential result is that the neighborhood radius can be chosen arbitrarily close to $n^{-1/4}$. This allows us to use a two steps procedure by which we first localize the state within a smaller neighborhood of radius $n^{-1/2+\epsilon}$, and then use LAN to perform optimal estimation.Comment: 32 pages, 3 figures, to appear in Commun. Math. Phy

Human Perception of Whole-Body Roll Tilt Orientation in a Hypo-Gravity Analog: Underestimation and Adaptation

Overestimation of roll tilt in hypergravity (&ldquo;G-excess&rdquo; illusion) has been demonstrated, but corresponding sustained hypogravic conditions are impossible to create in ground laboratories. In this article we describe the first systematic experimental evidence that in a hypogravity analog, humans underestimate roll tilt. We studied perception of self-roll tilt in nine subjects, who were supine while spun on a centrifuge to create a hypogravity analog. By varying the centrifuge rotation rate, we modulated the centripetal acceleration (GC) at the subject&rsquo;s head location (0.5 or 1 GC) along the body axis. We measured orientation perception using a subjective visual vertical task in which subjects aligned an illuminated bar with their perceived centripetal acceleration direction during tilts (&plusmn;11.5&ndash;28.5&deg;). As hypothesized, based on the reduced utricular otolith shearing, subjects initially underestimated roll tilts in the 0.5 GC condition compared with the 1 GC condition (mean perceptual gain change = &minus;0.27, P = 0.01). When visual feedback was given after each trial in 0.5 GC, subjects&rsquo; perceptual gain increased in approximately exponential fashion over time (time constant = 16 tilts or 13 min), and after 45 min, the perceptual gain was not significantly different from the 1 GC baseline (mean gain difference between 1 GC initial and 0.5 GC final = 0.16, P = 0.3). Thus humans modified their interpretation of sensory cues to more correctly report orientation during this hypogravity analog. Quantifying the acute orientation perceptual learning in such an altered gravity environment may have implications for human space exploration on the moon or Mars. NEW &amp; NOTEWORTHY Humans systematically overestimate roll tilt in hypergravity. However, human perception of orientation in hypogravity has not been quantified across a range of tilt angles. Using a centrifuge to create a hypogravity centripetal acceleration environment, we found initial underestimation of roll tilt. Providing static visual feedback, perceptual learning reduced underestimation during the hypogravity analog. These altered gravity orientation perceptual errors and adaptation may have implications for astronauts.</p

Social Models for Dealing with Inequalities

Production of INCASI Project H2020-MSCA-RISE-2015 GA 691004This chapter compares social models in Europe and Latin America. The goal is to study the interaction between two institutions: on the one hand, pre-distributive (ex ante) institutions, such as the structure and coverage of collective bargaining and, on the other hand, post-distributive (ex post) institutions, such as unemployment protection and social policy. Pre-distributive institutions are important for correcting inequalities in the labour market, because they introduce guidelines for egalitarian wage structures. Post-distributive institutions help to mitigate inequalities generated in the labour market. The methodology is based on statistical analysis of a series of indicators related to pre and post-distributive policies. The results present three types of model: (1) coordinated economies, typical of neo-corporatist Scandinavian countries; (2) mixed economies, typical of Mediterranean systems, and (3) uncoordinated economies, which equate to liberalism and the Latin American 'structural heterogeneity' model. It is neo-corporatist coordinated economies that generate the most pre and post-distributive equality. In turn, uncoordinated economies, and Latin American ones in particular, generate more inequalities due to highly informal employment and the weakness of their post-distributive institutions

The initial education of high school teachers : a critical review of major issues and trends

This paper draws on major research findings in international literature in order to provide a critical review of a number of key issues and trends in the initial education of high school teachers. Firstly, this paper contextualizes the prevalent discourse surrounding the field of initial teacher education (ITE) and explores the effect that this discourse has on the conceptualization of teachers’ work. Secondly, this paper focuses on the debates regarding the most propitious site for the teacher education enterprise, the programme structure for ITE, the field placement or practicum, the relationship between subject study and pedagogy, and the overall effectiveness of teacher education. The paper concludes by considering the new challenges that the field of initial teacher education must confront and the implications of such challenges for the ITE curriculum.peer-reviewe

Are anthropogenic factors affecting nesting habitat of sea turtles? The case of Kanzul beach, Riviera Maya-Tulum (Mexico)

Marine coast modification and human pressure affects many species, including sea turtles. In order to study nine anthropogenic impacts that might affect nesting selection of females, incubation and hatching survival of loggerhead (Caretta caretta) and green turtle (Chelonia mydas), building structures were identified along a 5.2 km beach in Kanzul (Mexico). A high number of hotels and houses (88; 818 rooms), with an average density of 16.6 buildings per kilometer were found. These buildings form a barrier which prevents reaching the beach from inland, resulting in habitat fragmentation. Main pressures were detected during nesting selection (14.19% of turtle nesting attempts interrupted), and low impact were found during incubation (0.77%) and hatching (4.7%). There were three impacts defined as high: beach furniture that blocks out the movement of hatchlings or females, direct pressure by tourists, and artificial beachfront lighting that can potentially mislead hatchlings or females. High impacted areas showed lowest values in nesting selection and hatching success. Based on our results, we suggest management strategies to need to be implemented to reduce human pressure and to avoid nesting habitat loss of loggerhead and green turtle in Kanzul, Mexico

La educación inclusiva frente a las desigualdades sociales: un estado de la cuestion y algunas reflexiones geograficas

Este artículo establece un estado de la cuestión e la educación inclusiva en el mundo y sugiere algunas reflexiones al respecto. El primer apartado recuerda las conexiones ineludibles entre las preocupaciones educativas por la educación inclusiva y las preocupaciones más generales por la desigualdad. El segundo consigna los criterios de búsqueda de las publicaciones académicas, y observa dos grandes temas en sus contenidos: sobre todo, el cambio interno de las escuelas atrae las miradas, pero en segundo plano también el entorno territorial despierta algunas inquietudes. El tercero anota los criterios de búsqueda de la documentación del Banco Mundial, la OCDE y la UNESCO. En este ámbito los simposios de la Oficina Internacional de la Educación de UNESCO revelan una interpretación dispar, aunque convergente, del concepto de educación inclusiva en las distintas regiones mundiales. Asimismo, todas las publicaciones oficiales muestran una atención prioritaria a las dinámicas internas de las escuelas, puesto que apenas algunas esbozan ciertas relaciones entre la educación inclusiva y las políticas públicas. El último apartado adelanta varios argumentos a favor de una mayor consideración de las escalas local y estatal de la educación inclusiva. Las principales razones para atender a la dimensión local provienen de la causalidad acumulativa de las privaciones sociales, de la necesidad de articular la acción de las escuelas y de la posibilidad de abrir un espacio significativo para la participación ciudadana. Asimismo, las principales razones para atender a la dimensión estatal surgen de las posibles sinergias entre la educación inclusiva y la expansión educativa (p. ej. ¿es correlativo el avance de la escolarización en los distintos ciclos escolares?) como también entre la educación inclusiva y la protección social (p. ej. ¿tienen una implicación pedagógica consistente las abundantes condiciones educativas de las transferencias sociales?

The Rts1 Regulatory Subunit of Protein Phosphatase 2A Is Required for Control of G1 Cyclin Transcription and Nutrient Modulation of Cell Size

The key molecular event that marks entry into the cell cycle is transcription of G1 cyclins, which bind and activate cyclin-dependent kinases. In yeast cells, initiation of G1 cyclin transcription is linked to achievement of a critical cell size, which contributes to cell-size homeostasis. The critical cell size is modulated by nutrients, such that cells growing in poor nutrients are smaller than cells growing in rich nutrients. Nutrient modulation of cell size does not work through known critical regulators of G1 cyclin transcription and is therefore thought to work through a distinct pathway. Here, we report that Rts1, a highly conserved regulatory subunit of protein phosphatase 2A (PP2A), is required for normal control of G1 cyclin transcription. Loss of Rts1 caused delayed initiation of bud growth and delayed and reduced accumulation of G1 cyclins. Expression of the G1 cyclin CLN2 from an inducible promoter rescued the delayed bud growth in rts1Δ cells, indicating that Rts1 acts at the level of transcription. Moreover, loss of Rts1 caused altered regulation of Swi6, a key component of the SBF transcription factor that controls G1 cyclin transcription. Epistasis analysis revealed that Rts1 does not work solely through several known critical upstream regulators of G1 cyclin transcription. Cells lacking Rts1 failed to undergo nutrient modulation of cell size. Together, these observations demonstrate that Rts1 is a key player in pathways that link nutrient availability, cell size, and G1 cyclin transcription. Since Rts1 is highly conserved, it may function in similar pathways in vertebrates

A multidisciplinary systematic review of the use of diagrams as a means of collecting data from research subjects: application, benefits and recommendations

BACKGROUND: In research, diagrams are most commonly used in the analysis of data and visual presentation of results. However there has been a substantial growth in the use of diagrams in earlier stages of the research process to collect data. Despite this growth, guidance on this technique is often isolated within disciplines. METHODS: A multidisciplinary systematic review was performed, which included 13 traditional healthcare and non-health-focused indexes, non-indexed searches and contacting experts in the field. English-language articles that used diagrams as a data collection tool and reflected on the process were included in the review, with no restriction on publication date. RESULTS: The search identified 2690 documents, of which 80 were included in the final analysis. The choice to use diagrams for data collection is often determined by requirements of the research topic, such as the need to understand research subjects' knowledge or cognitive structure, to overcome cultural and linguistic differences, or to understand highly complex subject matter. How diagrams were used for data collection varied by the degrees of instruction for, and freedom in, diagram creation, the number of diagrams created or edited and the use of diagrams in conjunction with other data collection methods. Depending on how data collection is structured, a variety of options for qualitative and quantitative analysis are available to the researcher. The review identified a number of benefits to using diagrams in data collection, including the ease with which the method can be adapted to complement other data collection methods and its ability to focus discussion. However it is clear that the benefits and challenges of diagramming depend on the nature of its application and the type of diagrams used. DISCUSSION/CONCLUSION: The results of this multidisciplinary systematic review examine the application of diagrams in data collection and the methods for analyzing the unique datasets elicited. Three recommendations are presented. Firstly, the diagrammatic approach should be chosen based on the type of data needed. Secondly, appropriate instructions will depend on the approach chosen. And thirdly, the final results should present examples of original or recreated diagrams. This review also highlighted the need for a standardized terminology of the method and a supporting theoretical framework