Extracting finite structure from infinite language

This paper presents a novel connectionist memory-rule based model capable of learning the finite-state properties of an input language from a set of positive examples. The model is based upon an unsupervised recurrent self-organizing map [T. McQueen, A. Hopgood, J. Tepper, T. Allen, A recurrent self-organizing map for temporal sequence processing, in: Proceedings of Fourth International Conference in Recent Advances in Soft Computing (RASC2002), Nottingham, 2002] with laterally interconnected neurons. A derivation of functionalequivalence theory [J. Hopcroft, J. Ullman, Introduction to Automata Theory, Languages and Computation, vol. 1, Addison-Wesley, Reading, MA, 1979] is used that allows the model to exploit similarities between the future context of previously memorized sequences and the future context of the current input sequence. This bottom-up learning algorithm binds functionally related neurons together to form states. Results show that the model is able to learn the Reber grammar [A. Cleeremans, D. Schreiber, J. McClelland, Finite state automata and simple recurrent networks, Neural Computation, 1 (1989) 372–381] perfectly from a randomly generated training set and to generalize to sequences beyond the length of those found in the training set

Some flows in shape optimization

Geometric flows related to shape optimization problems of Bernoulli type are investigated. The evolution law is the sum of a curvature term and a nonlocal term of Hele-Shaw type. We introduce generalized set solutions, the definition of which is widely inspired by viscosity solutions. The main result is an inclusion preservation principle for generalized solutions. As a consequence, we obtain existence, uniqueness and stability of solutions. Asymptotic behavior for the flow is discussed: we prove that the solutions converge to a generalized Bernoulli exterior free boundary problem

Two Mathematically Equivalent Versions of Maxwell's Equations

This paper is a review of the canonical proper-time approach to relativistic mechanics and classical electrodynamics. The purpose is to provide a physically complete classical background for a new approach to relativistic quantum theory. Here, we first show that there are two versions of Maxwell's equations. The new version fixes the clock of the field source for all inertial observers. However now, the (natural definition of the effective) speed of light is no longer an invariant for all observers, but depends on the motion of the source. This approach allows us to account for radiation reaction without the Lorentz-Dirac equation, self-energy (divergence), advanced potentials or any assumptions about the structure of the source. The theory provides a new invariance group which, in general, is a nonlinear and nonlocal representation of the Lorentz group. This approach also provides a natural (and unique) definition of simultaneity for all observers. The corresponding particle theory is independent of particle number, noninvariant under time reversal (arrow of time), compatible with quantum mechanics and has a corresponding positive definite canonical Hamiltonian associated with the clock of the source. We also provide a brief review of our work on the foundational aspects of the corresponding relativistic quantum theory. Here, we show that the standard square-root and the Dirac equations are actually two distinct spin-$\tfrac{1}{2}$ particle equations.Comment: Appeared: Foundations of Physic

Near-intrinsic energy resolution for 30-662 keV gamma rays in a high pressure xenon electroluminescent TPC

We present the design, data and results from the NEXT prototype for Double Beta and Dark Matter (NEXT-DBDM) detector, a high-pressure gaseous natural xenon electroluminescent time projection chamber (TPC) that was built at the Lawrence Berkeley National Laboratory. It is a prototype of the planned NEXT-100 136Xe neutrino-less double beta decay (0νββ) experiment with the main objectives of demonstrating near-intrinsic energy resolution at energies up to 662 keV and of optimizing the NEXT-100 detector design and operating parameters. Energy resolutions of ∼1% FWHM for 662 keV gamma rays were obtained at 10 and 15 atm and ∼5% FWHM for 30 keV fluorescence xenon X-rays. These results demonstrate that 0.5% FWHM resolutions for the 2,459 keV hypothetical neutrino-less double beta decay peak are realizable. This energy resolution is a factor 7 to 20 better than that of the current leading 0νββ experiments using liquid xenon and thus represents a significant advancement. We present also first results from a track imaging system consisting of 64 silicon photo-multipliers recently installed in NEXT-DBDM that, along with the excellent energy resolution, demonstrates the key functionalities required for the NEXT-100 0νββ search

When the Romance is Over: Follower Perspectives of Aversive Leadership

While leadership is indisputably one of the most pervasive topics in our society, the vast majority of existing research has focused on leadership as a positive force. Taking a follower- centric approach to the study of leadership, we integrate research on the Romance of Leadership and the dark side of leadership by examining followers’ perceptions of aversive leadership in the context of public high schools. Although Meindl, Ehrlich, and Dukerich (1985) demonstrated that the Romance of Leadership also includes the overattribution of negative outcomes to leaders, subsequent research has failed to explore the implications of this potentially darker side of romanticizing leaders. Specifically, we examine perceptions of principals’ aversive leadership and traditional affective, behavioral, and performance outcomes of followers in a sample of 342 dyads. Followers assessed their principals’ leadership behaviors and self-rated their levels of job satisfaction, self-efficacy, and resistance, while principals assessed their followers’ citizenship behaviors, complaining behaviors, and job performance. Results show that perceptions of aversive leadership are positively related to follower resistance and negatively related to followers’ job satisfaction. In addition, a usefulness analysis revealed that follower-rated variables were significantly related to perceptions of aversive leadership above and beyond leader-rated variables, suggesting that the relationship between negative outcomes and aversive leadership may be more constructed than real. In sum, the tendency to romanticize leadership may also lead to a proclivity to readily misattribute or overattribute blame to leadership as a convenient scapegoat for negative outcomes. Alors que le leadership est incontestablement l’un des thèmes les plus envahissants de notre société, la grande majorité des recherches existantes a porté sur le leadership en tant que force positive. En adoptant une approche centrée sur le suiveur dans l’étude du leadership, nous examinant la perception qu’ont les collaborateurs du leadership insupportable dans le contexte des lycées publics. Quoique Meindl, Ehrlich, et Dukerich (1985) aient montré que la Romance du Leadership inclut aussi la surattribution de résultats négatifs aux leaders, les recherches ultérieures ont méconnu les implications de cet aspect potentiellement plus sombre des leaders idylliques. Nous analysons en particulier sur un échantillon de 342 dyades la perception du leadership répulsif du proviseur et les résultats habituels des collaborateurs en rapport avec l’affectivité, le comportement et les performances. Les collaborateurs ont noté les comportements de leadership de leur proviseur et auto-évalué leur niveau de satisfaction au travail, d’efficience et de résistance, alors que les proviseurs appréciaient les conduites de citoyenneté et de revendication, ainsi que la performance professionnelle. Les résultats montrent que la perception du leadership répulsif est Positivement reliée à la résistance du suiveur et négativement à sa satisfaction professionnelle. En outre, une analyse des plus fructueuses a révélé que les variables évaluées par les collaborateurs étaient significativement en relation avec la perception du leadership répulsif, bien plus qu’avec les variables évaluées par les leaders, ce qui indique que la relation entre les résultats médiocres et le leadership négatif serait plus construite que réelle. Au total, le penchant à l’idéalisation du leadership peut aussi bien conduire à une propension à trop facilement condamner à tort et à travers le leadership qu’à la désignation d’un bouc émissaire tout trouvé pour expliquer de mauvais résultats

On the Design and Pareto-Optimality of Participating Mortgages

This paper develops a micro-economic model and proceeds with numerical simulation to demonstrate that participating mortgages can improve social welfare when the real estate ownership is shared among the different taxable entities. The optimal distribution of real estate ownership and lending will tend to be concentrated in taxable and nontaxable hands, respectively, with lending conducted via participating mortgages. This paper also demonstrates the violation of the well-known, risk-neutral valuation argument of the Black and Scholes (1973) model because of the lack of a riskless hedge due to the uniqueness of real estate. Copyright American Real Estate and Urban Economics Association.