Sparse regularization for fiber ODF reconstruction: from the suboptimality of ℓ2 and ℓ1 priors to ℓ0.

Diffusion MRI is a well established imaging modality providing a powerful way to probe the structure of the white matter non-invasively. Despite its potential, the intrinsic long scan times of these sequences have hampered their use in clinical practice. For this reason, a large variety of methods have been recently proposed to shorten the acquisition times. Among them, spherical deconvolution approaches have gained a lot of interest for their ability to reliably recover the intra-voxel fiber configuration with a relatively small number of data samples. To overcome the intrinsic instabilities of deconvolution, these methods use regularization schemes generally based on the assumption that the fiber orientation distribution (FOD) to be recovered in each voxel is sparse. The well known Constrained Spherical Deconvolution (CSD) approach resorts to Tikhonov regularization, based on an ℓ(2)-norm prior, which promotes a weak version of sparsity. Also, in the last few years compressed sensing has been advocated to further accelerate the acquisitions and ℓ(1)-norm minimization is generally employed as a means to promote sparsity in the recovered FODs. In this paper, we provide evidence that the use of an ℓ(1)-norm prior to regularize this class of problems is somewhat inconsistent with the fact that the fiber compartments all sum up to unity. To overcome this ℓ(1) inconsistency while simultaneously exploiting sparsity more optimally than through an ℓ(2) prior, we reformulate the reconstruction problem as a constrained formulation between a data term and a sparsity prior consisting in an explicit bound on the ℓ(0)norm of the FOD, i.e. on the number of fibers. The method has been tested both on synthetic and real data. Experimental results show that the proposed ℓ(0) formulation significantly reduces modeling errors compared to the state-of-the-art ℓ(2) and ℓ(1) regularization approaches.

Values, Multiculturalism and Representations

The theory of values is underdeveloped within economics with very few theoretical models explaining how values are created and propagated through a population. Those models that do exist are limited in how well they explain the role of values and how they behave. This paper argues that the theory of values needs to be fundamentally rethought, incorporating basic ideas from psychology, anthropology and philosophy that have largely been ignored in the literature. The resulting model is applied to answer some fundamental issues surrounding the notion of multiculturalism.

Representations and the Corruption of Goods

The traditional view of the economic agent is of an individual who is self-interested, rational and perceives the world “correctly”. However, there is a lot of experimental and other evidence that undermines this view of agents. It is argued that an attempt to model these agents properly requires the cognitive science idea of a mental representation- a mental state with content. It is shown that this idea gives economists resources to discuss critiques of economics by Sandel (2012) and Grant (2012). In particular, it allows us to think clearly about the notion of goods being “corrupted” by a change in context from a non-market to a market situation.

Maximal operators and differentiation theorems for sparse sets

"Vegeu el resum a l'inici del document del fitxer adjunt."

An irreducibility criterion for group representations, with arithmetic applications

We prove a criterion for the irreducibility of an integral group representation p over the fraction field of a noetherian domain R in terms of suitably defined reductions of p at prime ideals of R. As applications, we give irreducibility results for universal deformations of residual representations, with a special attention to universal deformations of residual Galois representations associated with modular forms of weight at least 2.

Spectral analysis of random sparse matrices

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Gender, family and employment in comparative perspective: the realities and representations of rqual rpportunities in Britain and France

In this paper, we will explore how contrasting national discourses relating to women, and gender equality have been incorporated into and reflected in national policies. In the first section, we will outline the recent history of EU equal opportunities policy, in which positive action has been replaced by a policy of 'mainstreaming'. Second, we will describe the evolution of policies towards women and equal opportunities in Britain and France. It will be argued that whereas some degree of positive action for women has been accepted in Britain, this policy is somewhat alien to French thinking about equality - although pro-natalist French policies have resulted in favourable conditions for employed mothers in France. In the third section, we will present some attitudinal evidence, drawn from national surveys, which would appear to reflect the national policy differences we have identified in respect of the 'equality agenda'. In the fourth section, we will draw upon biographical interviews carried out with men and women in British and French banks in order to illustrate the impact of these cross-national differences within organizations and on individual lives. We demonstrate that positive action gender equality policies have made an important impact in British banks, while overt gender exclusionary practices still persist in the French banks studied. In the conclusion, we reflect on the European policy implications of our findings.

Sound Texture Modelling

In the PhD thesis “Sound Texture Modeling” we deal with statistical modelling or textural sounds like water, wind, rain, etc. For synthesis and classification. Our initial model is based on a wavelet tree signal decomposition and the modeling of the resulting sequence by means of a parametric probabilistic model, that can be situated within the family of models trainable via expectation maximization (hidden Markov tree model ). Our model is able to capture key characteristics of the source textures (water, rain, fire, applause, crowd chatter ), and faithfully reproduces some of the sound classes. In terms of a more general taxonomy of natural events proposed by Graver, we worked on models for natural event classification and segmentation. While the event labels comprise physical interactions between materials that do not have textural propierties in their enterity, those segmentation models can help in identifying textural portions of an audio recording useful for analysis and resynthesis. Following our work on concatenative synthesis of musical instruments, we have developed a pattern-based synthesis system, that allows to sonically explore a database of units by means of their representation in a perceptual feature space. Concatenative syntyhesis with “molecules” built from sparse atomic representations also allows capture low-level correlations in perceptual audio features, while facilitating the manipulation of textural sounds based on their physical and perceptual properties. We have approached the problem of sound texture modelling for synthesis from different directions, namely a low-level signal-theoretic point of view through a wavelet transform, and a more high-level point of view driven by perceptual audio features in the concatenative synthesis setting. The developed framework provides unified approach to the high-quality resynthesis of natural texture sounds. Our research is embedded within the Metaverse 1 European project (2008-2011), where our models are contributting as low level building blocks within a semi-automated soundscape generation system.

Inhabitants' and professionals' social representations of health determinants in a disadvantaged urban area in France: a qualitative analysis = représentations sociales des déterminants de santé dans une zone urbaine défavorisée en France : analyse qualitative auprès d'habitants et de professionnels

Background and objective. - Access to care in French disadvantaged urban areas remains an issue despite the implementation of local healthcare structures. To understand this contradiction, we investigated social representations held by inhabitants of such areas, as well as those of social and healthcare professionals, regarding events or behaviours that can impact low-income individuals' health. Method. - In the context of a health diagnosis, 288 inhabitants living in five disadvantaged districts of Aix-les-Bains, as well as 28 professionals working in these districts, completed an open-ended questionnaire. The two groups of respondents were asked to describe what could have an impact on health status from the inhabitants' point of view. The textual responses were analyzed using the Alceste method. Results. - We observed a number of differences in the way the inhabitants and professionals represented determinants of health in disadvantaged urban areas: the former proposed a representation mixing personal responsibility with physiological, social, familial, and professional aspects, whereas the latter associated health issues with marginalization (financial, drug, or alcohol problems) and personal responsibility. Both inhabitants and professionals mentioned control over events and lifestyle as determinants of health. Discussion. - The results are discussed regarding the consequences of these different representations on the beneficiary - healthcare-provider relationship in terms of communication and trust.

Regional-scale integration of multi-scale hydrological and geophysical data using a two-step Bayesian sequential simulation approach

Significant progress has been made with regard to the quantitative integration of geophysical and hydrological data at the local scale for the purpose of improving predictions of groundwater flow and solute transport. However, extending corresponding approaches to the regional scale still represents one of the major challenges in the domain of hydrogeophysics. To address this problem, we have developed a regional-scale data integration methodology based on a two-step Bayesian sequential simulation approach. Our objective is to generate high-resolution stochastic realizations of the regional-scale hydraulic conductivity field in the common case where there exist spatially exhaustive but poorly resolved measurements of a related geophysical parameter, as well as highly resolved but spatially sparse collocated measurements of this geophysical parameter and the hydraulic conductivity. To integrate this multi-scale, multi-parameter database, we first link the low- and high-resolution geophysical data via a stochastic downscaling procedure. This is followed by relating the downscaled geophysical data to the high-resolution hydraulic conductivity distribution. After outlining the general methodology of the approach, we demonstrate its application to a realistic synthetic example where we consider as data high-resolution measurements of the hydraulic and electrical conductivities at a small number of borehole locations, as well as spatially exhaustive, low-resolution estimates of the electrical conductivity obtained from surface-based electrical resistivity tomography. The different stochastic realizations of the hydraulic conductivity field obtained using our procedure are validated by comparing their solute transport behaviour with that of the underlying ?true? hydraulic conductivity field. We find that, even in the presence of strong subsurface heterogeneity, our proposed procedure allows for the generation of faithful representations of the regional-scale hydraulic conductivity structure and reliable predictions of solute transport over long, regional-scale distances.

Adult attachment representations predict cortisol and oxytocin responses to stress.

There are many factors contributing to individual variations in the response to stressful experiences. The present study evaluated the patterns of stress responses according to attachment representations in 28 adults from a community sample, plus 46 subjects expected to be particularly sensitive to stress, having been exposed during childhood and/or adolescence to traumatizing events such as abuse or potentially lethal illnesses. Subjects were given the Adult Attachment Interview, which provides attachment classifications, and the Trier Social Stress Test (TSST), involving an experimental psychosocial challenge. Subjective responses to the TSST, as well as saliva samples (assayed for cortisol) and blood plasma samples (assayed for ACTH and oxytocin) were collected before, during and after the stress procedure. The stress responses presented specific patterns according to attachment classifications. Subjects with an autonomous attachment classification reported relatively low subjective stress, they presented a moderate response of the hypothalamic-pituitary-adrenal (HPA) axis (ACTH and cortisol), and a high level of oxytocin. Subjects with a dismissing classification reported a moderate subjective stress, they presented an elevated response of the HPA axis, and moderate levels of oxytocin. Subjects with a preoccupied classification presented moderate levels of subjective stress, and of HPA response, and a relatively low level of oxytocin. Finally, subjects with an unresolved classification reported elevated subjective stress; they presented a suppressed HPA response, and moderate levels of oxytocin. These data support the notion that attachment representations may affect stress responses, and suggest a specific role of oxytocin in both the attachment system and the stress system.