Efficient Marginal Likelihood Computation for Gaussian Process Regression

In a Bayesian learning setting, the posterior distribution of a predictive model arises from a trade-off between its prior distribution and the conditional likelihood of observed data. Such distribution functions usually rely on additional hyperparameters which need to be tuned in order to achieve optimum predictive performance; this operation can be efficiently performed in an Empirical Bayes fashion by maximizing the posterior marginal likelihood of the observed data. Since the score function of this optimization problem is in general characterized by the presence of local optima, it is necessary to resort to global optimization strategies, which require a large number of function evaluations. Given that the evaluation is usually computationally intensive and badly scaled with respect to the dataset size, the maximum number of observations that can be treated simultaneously is quite limited. In this paper, we consider the case of hyperparameter tuning in Gaussian process regression. A straightforward implementation of the posterior log-likelihood for this model requires O(N^3) operations for every iteration of the optimization procedure, where N is the number of examples in the input dataset. We derive a novel set of identities that allow, after an initial overhead of O(N^3), the evaluation of the score function, as well as the Jacobian and Hessian matrices, in O(N) operations. We prove how the proposed identities, that follow from the eigendecomposition of the kernel matrix, yield a reduction of several orders of magnitude in the computation time for the hyperparameter optimization problem. Notably, the proposed solution provides computational advantages even with respect to state of the art approximations that rely on sparse kernel matrices.

New design of a multi-jet target for quasi phase matching

An improved dual-gas quasi-phase matching (QPM) foil target for high harmonic generation (HHG) is presented. The target can be setup with 12 individual gas inlets each feeding multiple nozzles separated by a minimum distance of 10 μm. Three-dimensional gas density profiles of these jets were measured using a Mach-Zehnder Interferometer. These measurements reveal how the jets influence the density of gas in adjacent jets and how this leads to increased local gas densities. The analysis shows that the gas profiles of the jets are well defined up to a distance of about 300 μm from the orifice. This target design offers experimental flexibility, not only for HHG/QPM investigations, but also for a wide range of experiments due to the large number of possible jet configurations. We demonstrate the application to controlled phase tuning in the extreme ultraviolet using a 1 kHz-10 mJ-30 fs-laser system where interference between two jets in the spectral range from 17 to 30 nm was observed.

Crush responses of composite cylinder under quasi-static and dynamic loading

Despite the abundance of studies investigating the performance of composite structures under crush loading, disagreement remains in the literature regarding the effect of increased strain rate on the crush response. This study reports an experimental investigation of the behaviour of a carbon-epoxy composite energy absorber under static and dynamic loading with a strain rate of up to 100s^-1. Consistent damage modes and measured force responses were obtained in samples tested under the same strain rate. The energy absorption was found to be independent of strain rate as the total energy absorption appeared to be largely associated with fibre-dominated fracture, which is independent of strain rate within the studied range. The results from this study are beneficial for the design of energy absorbing structures.

Quasi-periodic stacks of semiconductor layers: Combinatorial frequency generation

The nonlinear scattering and combinatorial frequency generation by the quasi-periodic Fibonacci and Thue-Morse stacks of semiconductor layers have been investigated taking into account the nonlinear charge dynamics. It has been shown that the mixing processes in passive semiconductor structures are driven by the competitive effects of the collision of charges and resonance interactions of carriers with pump waves. The effects of the stack arrangements and constituent layer parameters on the efficiency of the combinatorial frequency generation are discussed. 

Perceptions of therapist responses to shame disclosures by clients: A quasi-experimental investigation with non-clinical participants

Background
Therapist responses to initial shame disclosure in therapy have received little empirical attention.

Aim
This study explored different therapeutic responses to shame disclosures in terms of their perceived helpfulness. Responses ranged from complete withdrawal from the feeling (withdrawal) to completely tuning into it (non-withdrawal). Given the tendency of shame to evoke avoidance, participants higher on shame-proneness (as measured by The Experience of Shame Scale) were expected to perceive withdrawal responses to shame as more helpful than non-withdrawal responses.

Methodology
Fifty-five non-clinical participants were assessed for shame-proneness before viewing videos of mock therapy sessions showing clients either disclosing shame (two videos) or shock (control condition). Participants then rated the helpfulness of different therapist responses. The responses differed in the degree they allowed the client to withdraw from their emotions.

Results
High shame proneness was associated with rating withdrawal responses to shame as least helpful. Overall, neither the withdrawal response nor the non-withdrawal response were rated as particularly helpful. The therapeutic response which addressed management strategies when shame is initially experienced in therapy was deemed most helpful.

Conclusion
Despite the tendency to withdraw from shame feelings, this response is not deemed helpful in therapy.

Design and results of a dual-gas Quasi-Phase matching (QPM) foil target

Quasi-phase matching (QPM) can be used to increase the conversion efficiency of the high harmonic generation (HHG) process. We observed QPM with an improved dual-gas foil target with a 1 kHz, 10 mJ, 30 fs laser system. Phase tuning and enhancement were possible within a spectral range from 17 nm to 30 nm. Furthermore analytical calculations and numerical simulations were carried out to distinguish QPM from other effects, such as the influence of adjacent jets on each other or the laser gas interaction. The simulations were performed with a 3 dimensional code to investigate the phase matching of the short and long trajectories individually over a large spectral range.

An evaluation of portion size estimation aids precision, ease of use and likelihood of future use

OBJECTIVE: The present study aimed to evaluate the precision, ease of use and likelihood of future use of portion size estimation aids (PSEA).

DESIGN: A range of PSEA were used to estimate the serving sizes of a range of commonly eaten foods and rated for ease of use and likelihood of future usage.

SETTING: For each food, participants selected their preferred PSEA from a range of options including: quantities and measures; reference objects; measuring; and indicators on food packets. These PSEA were used to serve out various foods (e.g. liquid, amorphous, and composite dishes). Ease of use and likelihood of future use were noted. The foods were weighed to determine the precision of each PSEA.

SUBJECTS: Males and females aged 18-64 years (n 120).

RESULTS: The quantities and measures were the most precise PSEA (lowest range of weights for estimated portion sizes). However, participants preferred household measures (e.g. 200 ml disposable cup) - deemed easy to use (median rating of 5), likely to use again in future (all scored either 4 or 5 on a scale from 1='not very likely' to 5='very likely to use again') and precise (narrow range of weights for estimated portion sizes). The majority indicated they would most likely use the PSEA preparing a meal (94 %), particularly dinner (86 %) in the home (89 %; all P<0·001) for amorphous grain foods.

CONCLUSIONS: Household measures may be precise, easy to use and acceptable aids for estimating the appropriate portion size of amorphous grain foods.

Unpacking the Link Between Entrepreneurialism and Employability: an Assessment of the Relationship Between Entrepreneurial Attitudes and Likelihood of Graduate Employment in a Professional Field

Purpose This research investigates the relationship between students’ entrepreneurial attitudes and traits and their classification of employment six months after university graduation. It aims to identify what specific attitudes and traits of entrepreneurial graduates are linked to employability in a professional or managerial field. Design/Methodology The research adopts a quantitative approach to measure the entrepreneurial drive of final-year undergraduate business school students and regresses this measurement against the employment level of the same students six months after their graduation. The employment classification of each respondent was classified as ‘professional/managerial’ or ‘non-professional/non-managerial’, in line with the Standard Occupational Classification (SOC) 2010. Findings The research found that both proactive disposition and achievement motivation were statistically linked to the likelihood of graduates being employed in a professional or managerial position six months after graduation. Originality/Value This research goes beyond existing literature linking entrepreneurship to employability to quantitatively examine what specific attitudes and traits can be linked to employability in recent graduates. By identifying the aspects of entrepreneurialism that have a relationship with employability, more information is available for educators who are designing entrepreneurial education programs and allows for greater focus on aspects that may be of greatest benefit to all students.

Detection of quasi-periodic processes in complex systems: how do we quantitatively describe their properties?

It has been shown that in reality at least two general scenarios of data structuring are possible: (a) a self-similar (SS) scenario when the measured data form an SS structure and (b) a quasi-periodic (QP) scenario when the repeated (strongly correlated) data form random sequences that are almost periodic with respect to each other. In the second case it becomes possible to describe their behavior and express a part of their randomness quantitatively in terms of the deterministic amplitude–frequency response belonging to the generalized Prony spectrum. This possibility allows us to re-examine the conventional concept of measurements and opens a new way for the description of a wide set of different data. In particular, it concerns different complex systems when the ‘best-fit’ model pretending to be the description of the data measured is absent but the barest necessity of description of these data in terms of the reduced number of quantitative parameters exists. The possibilities of the proposed approach and detection algorithm of the QP processes were demonstrated on actual data: spectroscopic data recorded for pure water and acoustic data for a test hole. The suggested methodology allows revising the accepted classification of different incommensurable and self-affine spatial structures and finding accurate interpretation of the generalized Prony spectroscopy that includes the Fourier spectroscopy as a partial case.

How to bring equity investors to the social sector? A quasi-equity approach through the case study of SPEAK

As nonprofits do not have access to the same capital markets as for-profit enterprises, organizations usually scramble for funding to keep up with their mission. This scenario can be changed through the use of the right financial engineering. This Work Project aims at studying an innovative financing mechanism based on the concept of quasi-equity for organizations devoted to social ends to cope with their capital needs. A quasi-equity investment model is built for the Portuguese social business SPEAK, and an in-depth assessment of its current financial, organizational and impact situations is conducted. This is a pioneer case study in Portugal.

A formação em rastreio e intervenções breves do álcool muda as atitudes dos profissionais de saúde ocupacional? : estudo quasi experimental exploratório para uma estratégia para o meio laboral

RESUMO - Estudos anteriores nos Cuidados de Saúde Primários (CSP) apontam para um incremento da Deteção Precoce (DP) e Intervenções Breves (IB) em pacientes com Problemas Ligados ao Álcool (PLA) após formação apropriada dos profissionais de saúde (com melhoria das suas atitudes). Este estudo quasi experimental, exploratório, é pioneiro no âmbito da Saúde Ocupacional (SO) para a implementação de Rastreio/DP e IB nos PLA. O objetivo principal foi avaliar se uma formação sobre Rastreio/DP e IB pode melhorar as atitudes dos profissionais de SO ao lidar com os PLA em Meio Laboral (PLAML). Foi aplicado um questionário em duas partes: Q1/pré-formação (variáveis sociodemográficas, profissionais, competências em alcoologia, experiência pessoal com álcool/familiares com PLA, dificuldades em lidar com trabalhadores com PLA, AUDIT-C e SAAPPQ) e Q2/pós-formação (avaliação da formação e das atitudes SAAPPQ - Adequação, Legitimidade, Motivação, Autoestima e Satisfação). Os resultados na amostra (N=39) revelaram um aumento sobretudo na Adequação e Satisfação. No entanto, naqueles com níveis baixos das atitudes pré-formação constou-se melhoria das atitudes à excepção da Autoestima e foram encontradas algumas associações com as características do perfil inicial dos participantes. Sugerem-se estudos posteriores para identificação de pacotes formativos mais efetivos e propostas para um Plano integrador de RIB para PLAML

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Colbertinus

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nuper comparatus