Polyanalytic Hardy decomposition of higher order Lipschitz functions

This paper is concerned with the problem of decomposing a higher order Lipschitz function on a closed Jordan curve $\Gamma$ into a sum of two polyanalytic functions in each open domain defined by $\Gamma$. Our basic tools are the Hardy projections related to a singular integral operator arising in polyanalytic function theory, which, as it is proved here, represents an involution operator on the higher order Lipschitz classes. Our result generalizes the classical Hardy decomposition of Holder continuous functions on the boundary of a domain

Feature and Region Selection for Visual Learning

Visual learning problems such as object classification and action recognition are typically approached using extensions of the popular bag-of-words (BoW) model. Despite its great success, it is unclear what visual features the BoW model is learning: Which regions in the image or video are used to discriminate among classes? Which are the most discriminative visual words? Answering these questions is fundamental for understanding existing BoW models and inspiring better models for visual recognition. To answer these questions, this paper presents a method for feature selection and region selection in the visual BoW model. This allows for an intermediate visualization of the features and regions that are important for visual learning. The main idea is to assign latent weights to the features or regions, and jointly optimize these latent variables with the parameters of a classifier (e.g., support vector machine). There are four main benefits of our approach: (1) Our approach accommodates non-linear additive kernels such as the popular $\chi^2$ and intersection kernel; (2) our approach is able to handle both regions in images and spatio-temporal regions in videos in a unified way; (3) the feature selection problem is convex, and both problems can be solved using a scalable reduced gradient method; (4) we point out strong connections with multiple kernel learning and multiple instance learning approaches. Experimental results in the PASCAL VOC 2007, MSR Action Dataset II and YouTube illustrate the benefits of our approach

Magnetic Phases in Dense Quark Matter

In this paper I discuss the magnetic phases of the three-flavor color superconductor. These phases can take place at different field strengths in a highly dense quark system. Given that the best natural candidates for the realization of color superconductivity are the extremely dense cores of neutron stars, which typically have very large magnetic fields, the magnetic phases here discussed could have implications for the physics of these compact objects.Comment: Presented at VII Latin American Symposium on Nuclear Physics and Applications, El Cusco, Peru, June 200

Passion and exercise addiction: Healthier profiles in team than in individual sports

New evidence suggests that passion is linked to exercise addiction. The objective of this work was to determine the strength of the relationship between exercise addiction, obsessive passion, and harmonious passion in team versus individual sports. Athletes (n = 190) from three team and three individual sports were examined. Results of hierarchical multiple regressions revealed that obsessive passion and harmonious passion were significant (p < .001) predictors (R2 = .39) of exercise addiction. Obsessive passion accounted for 25% and 50% of the variance in team and individual sports, respectively. Harmonious passion added little to the shared variance (3–4%). The levels of risk for exercise addiction were identical (15%) in the two groups. In team sports, harmonious passion was higher than in individual sports (p < .001). The current results suggest that profiles of passion in team sports are superior to those in individual sports, while the risk for exercise addiction is similar

Methodological and conceptual limitations in exercise addiction research

The aim of this brief analytical review is to highlight and disentangle research dilemmas in the field of exercise addiction. Research examining exercise addiction is primarily based on self-reports, obtained by questionnaires (incorporating psychometrically validated instruments), and interviews, which provide a range of risk scores rather than diagnosis. Survey methodology indicates that the prevalence of risk for exercise addiction is approximately 3 percent among the exercising population. Several studies have reported a substantially greater prevalence of risk for exercise addiction in elite athletes compared to those who exercise for leisure. However, elite athletes may assign a different interpretation to the assessment tools than leisure exercisers. The present paper examines the: 1) discrepancies in the classification of exercise addiction; 2) inconsistent reporting of exercise addiction prevalence; and 3) varied interpretation of exercise addiction diagnostic tools. It is concluded that there is the need for consistent terminology, to follow-up results derived from exercise addiction instruments with interviews, and to follow a theory-driven rationale in this area of research

Las encuestas previas a la elección presidencial 2006: reflexiones para el debate

Polls prior to the presidential elections 2006: Reflections for the debate. This paper analyzes the national polls prior to the presidential election 2006 in Mexico, emphasizing the coincidence and divergences amongst the different series publicly spread and from these with the official election's results. Thus, two groups of national polls are detected; one of them with estimations that would end up being close o the results and another one with systematic slants that separated them from it. Based on this revision, the pertinence of checking the methodological canon of the public opinion research is proposed in our country

Effects of the Representation System on the Distribution of Votes and Seats in Latin America (1990-2019)

One of the main consequences of the legal rules that govern electoral systems is that they establish the conditions for the conversion of votes into seats. Based on various public sources of information, this essay constructs indicators on the effects of the rules adopted in the electoral systems of Latin America in the period 1990-2019 in terms of the fragmentation of votes and seats. The evidence analyzed shows that there is no defined and constant pattern that reflects that the adoption of a proportional representation system results in a different fragmentation than that which occurs when a mixed system is available. The lower fragmentation of the vote than of seats does not turn out to be a product of the presence of partisan alliances. The fragmentation of voting in mixed systems has increased systematically, a situation that does not occur in the case of proportional systems

Is Populism Truly Advanced in the World?

It is fashionable to affirm that populism is advancing in the world. Examples of governments assuming positions that can be qualified in this way are abundant. But it seems pertinent to really dimension the existence and magnitude of this phenomenon and not only attend to a casuistic vision, largely focused on the Western world. That is why this paper will seek to measure the growth during the 21st century in terms of votes and seats in the lower national assemblies and the participation in the governments of the world of parties, differentiated according to their populist orientation. Today there are reliable sources of information to do this type of exercise. In particular, we will use the data compiled by the Varieties of Democracy (V-Dem) project to compare the electoral presence and success and the ability to lead or be part of the government coalitions of the parties according to their adherence to populist logics. To do this, after an introduction related to the same concept of populism, the source of information to be used in this text and the indices that will be used for analysis will be characterized. Subsequently, the results of the measurement of the behavior of these indices in the world in the period 2000-2019 and their relationship with the achievements of the parties in terms of votes, seats and participation in government coalitions will be presented in a synthetic way. Finally, the meaning of the data compiled, displayed and analyzed will be discussed. The analyzed data allow us to advance in the finding of a relationship between populist discourse and the adoption of a position contrary to elitism and that the position to the right in the political-ideological spectrum tends to make an organization less likely to adopt a populist rhetoric. However, there would be a long way to go to achieve a full explanation of the phenomenon of populism in this century and it is not insignificant progress in achieving electoral support and integration into governments that has been detected during the last decade. This forces us to think of new paths and alternative sources for understanding the phenomenon that occupies the center of attention in this essay

Forwarding Tables Verification through Representative Header Sets

Forwarding table verification consists in checking the distributed data-structure resulting from the forwarding tables of a network. A classical concern is the detection of loops. We study this problem in the context of software-defined networking (SDN) where forwarding rules can be arbitrary bitmasks (generalizing prefix matching) and where tables are updated by a centralized controller. Basic verification problems such as loop detection are NP-hard and most previous work solves them with heuristics or SAT solvers. We follow a different approach based on computing a representation of the header classes, i.e. the sets of headers that match the same rules. This representation consists in a collection of representative header sets, at least one for each class, and can be computed centrally in time which is polynomial in the number of classes. Classical verification tasks can then be trivially solved by checking each representative header set. In general, the number of header classes can increase exponentially with header length, but it remains polynomial in the number of rules in the practical case where rules are constituted with predefined fields where exact, prefix matching or range matching is applied in each field (e.g., IP/MAC addresses, TCP/UDP ports). We propose general techniques that work in polynomial time as long as the number of classes of headers is polynomial and that do not make specific assumptions about the structure of the sets associated to rules. The efficiency of our method rely on the fact that the data-structure representing rules allows efficient computation of intersection, cardinal and inclusion. Finally, we propose an algorithm to maintain such representation in presence of updates (i.e., rule insert/update/removal). We also provide a local distributed algorithm for checking the absence of black-holes and a proof labeling scheme for locally checking the absence of loops