Elastic-Net Regularization: Error estimates and Active Set Methods

This paper investigates theoretical properties and efficient numerical algorithms for the so-called elastic-net regularization originating from statistics, which enforces simultaneously l^1 and l^2 regularization. The stability of the minimizer and its consistency are studied, and convergence rates for both a priori and a posteriori parameter choice rules are established. Two iterative numerical algorithms of active set type are proposed, and their convergence properties are discussed. Numerical results are presented to illustrate the features of the functional and algorithms

New Testament Exegesis

The purpose of this treatise is, first of all, on the basis of Scripture, carefully to define the various gifts as they are listed in Romans 18, I Corinthians 12-14, and Ephesians 4; at the same time to note concrete examples of these gifts throughout the New Testament writings; secondly, to call attention to a few significant trends in history pertaining directly or indirectly to one or more of the spiritually gifts, and, finally, to state the basic principles which should guide us in our · present day evaluation of spiritual gifts

A Criticism of the Madras Conference from the Standpoint of a Christian Believer

What a wonderful thing it would be if all the denominations could get together on a common ground and work together against ·the forces of sin and hell: What an impression that would make upon the world! Such a condition would greatly further the cause of missions. It was especially the younger churches that were crying for unity. The younger churches cannot understand the divisions and the multiplied organizations of the mother churches. If they are all Christian, why are they not united

THE CONTRIBUTION OF FEMINIST THEORY AND PRACTICE TO HUMAN RIGHTS

While it was primarily been propertied, male, European thinkers who have advanced the idea of the individual subject worthy of rights, this essay argues that feminist theory and practice are the current driving force for the expansion of human rights. The article examines primary elements of feminist theory, particularly the intersectional approach and the critique of the public/private divide. It also examines feminist practices by taking the case example of the women’s movements in Brazil. The author calls for the recognition of feminist theory and practice as universalizing and expanding the narrow conceptions of the ‘human’ inherent in the initial writings and in jurisprudence

Beyond convergence rates: Exact recovery with Tikhonov regularization with sparsity constraints

The Tikhonov regularization of linear ill-posed problems with an $\ell^1$ penalty is considered. We recall results for linear convergence rates and results on exact recovery of the support. Moreover, we derive conditions for exact support recovery which are especially applicable in the case of ill-posed problems, where other conditions, e.g. based on the so-called coherence or the restricted isometry property are usually not applicable. The obtained results also show that the regularized solutions do not only converge in the $\ell^1$-norm but also in the vector space $\ell^0$ (when considered as the strict inductive limit of the spaces $\R^n$ as $n$ tends to infinity). Additionally, the relations between different conditions for exact support recovery and linear convergence rates are investigated. With an imaging example from digital holography the applicability of the obtained results is illustrated, i.e. that one may check a priori if the experimental setup guarantees exact recovery with Tikhonov regularization with sparsity constraints

Biblical Concept of ΔιαθηϏη

ΔιαθηϏη is a key-word in Scripture, used to describe the relationship of God to man and man to God. There can be nothing more valuable for man than a right relationship to God. With God, man is supremely happy, without God man is totally unhappy, and is doomed to eternal unhappiness and misery

The Brazilian women's movement against violence : discourses on violence within an intercultural framework of communication and learning

Die Autorin behandelt am Beispiel Brasilien das universelle Thema der Gewalt gegen Frauen in einem international vergleichenden und interkulturell kommunikativen Zusammenhang. Wichtiges Anliegen ihrer Fallstudie zur Gewalt gegen Frauen ist deutlich zu machen, dass die kontextbedingt aktive Bewegung der Frauen wider Gewalt in Brasilien sich nicht nur von Aktionen und Diskursen aus dem internationalen Bereich inspiriert hat, sondern einen beachtenswerten eigenen Beitrag leistet, von dem auch andere Frauenbewegungen lernen könnten. Voraussetzung hierzu ist allerdings, dass in allen diesen Gesellschaften, denen innerhalb der stratifizierten globalen Zusammenhänge unterschiedlicher Status zugewiesen wird, ein interkulturell kommunikativer Lernprozess stattfindet. In der Einleitung zu dieser Studie wird auf die spezifische Problematik des Themas hingewiesen, die Untersuchungsmethode und die eigene Argumentationsweise vorgestellt, die eng mit der Motivation zur Behandlung des Themas verwoben ist. Im ersten Kapitel wird die Gewalt gegen Frauen als zugleich universales wie auch partikulares Problem diskutiert, und dementsprechend die divergierenden Definitionen der Gewalt gegen Frauen, die vielfältigen Ansätze zum Verständnis von Frauen aus verschiedenen Gesellschaften und schließlich die Vielfalt der Erfahrungen von Frauen gegenüber Gewalt im Licht der interkulturellen Kommunikation vorgestellt und kritisch analysiert. Im zweiten Kapitel werden die diskursiv analytischen Interpretationen der Gewalt gegen Frauen im Licht der interkulturellen Kommunikation behandelt. Die Autorin knüpft an das diskursive Modell der Bedürfnisinterpretation von Nancy Fraser an und wendet es als methodischer Ansatz zur Interpretation der Gewalt gegen Frauen an. Sie weist auf die gesellschaftspolitischen und kulturellen Grenzen dieses Modells (auf die nördliche Hemisphäre beschränkt) hin und versucht es im Lichte des Ansatzes von Patrick Dias zu interkulturellem Lernen im Kontext der international ungleichen Machtstrukturen kritisch weiterzuentwickeln. Das dritte Kapitel analysiert die relevanten gesellschaftlichen Bedingungen mit ihren diskursiven Konstruktionen zum Verständnis von Frauen und deren Stellung im spezifischen Kontext Brasiliens. Das vierte Kapitel stellt die brasilianische Frauenbewegung wider Gewalt gegen Frauen in ihren historischen Zusammenhängen dar: von ihren Anfängen über deren Strategien in den Achtzigern bis im ausgehenden zwanzigsten Jahrhundert hinein; und es schließt mit den Diskussionen im 21. Jahrhundert ab, die verstärkt unter der Metapher der Cidadania (Aufbau der Zivilgesellschaft) steht. Kapitel fünf fasst die Ergebnisse der Untersuchung zusammen und führt den in der Studie angewandten diskursiv analytischen Ansatz im Rahmen der interkulturell immer noch bestehenden herrschaftlichen Kommunikationsstruktur mit einem Plädoyer für ein interkulturelles Lernen, das die globalen Ungleichheiten nicht verkennt, weiter

Teachers’ Perceptions of The Wiggle Whomper Kit: Improving Sensory Regulation in the General Education Classroom®: A Pilot Study

Increased emphasis on Response to Intervention and population based approaches in school systems is gaining popularity in literature. The current study examined the perceived effectiveness and patterns of use of The Wiggle Whomper Kit, a sensory regulation activity tool kit that was provided in all classrooms at a suburban elementary school. Thirty-six teachers and support personnel who had access to The Wiggle Whomper Kit were surveyed electronically, and member checking was performed through an interview with the school principal who was involved in The Wiggle Whomper Kit development and implementation. Responses (N = 9) indicated that The Wiggle Whomper Kit was most effective in increasing levels of attention, decreasing levels of hyperactivity, and increasing engagement in activities. Tools in The Wiggle Whomper Kit were used more often than activities, and tools were used by individual students more than by the class as a whole. Results also indicated that those who had a relationship with the school occupational therapist or occupational therapy assistant rated The Wiggle Whomper Kit as effective more often, indicating that collaboration is an essential component for successful implementation of any tool or program

Optimal control of static plasticity with linear kinematic hardening

An optimal control problem for the static problem of infinitesimal elastoplasticity with linear kinematic hardening is considered. The variational inequality arising on the lower-level is regularized using a Yosida-type approach, and an optimal control problem for the so-called viscoplastic model is obtained. Existence of a global optimizer is proved for both the regularized and original problems, and strong convergence of the solutions is established