60,390 research outputs found
Primitive Vassiliev Invariants and Factorization in Chern-Simons Perturbation Theory
The general structure of the perturbative expansion of the vacuum expectation
value of a Wilson line operator in Chern-Simons gauge field theory is analyzed.
The expansion is organized according to the independent group structures that
appear at each order. It is shown that the analysis is greatly simplified if
the group factors are chosen in a certain way that we call canonical. This
enables us to show that the logarithm of a polinomial knot invariant can be
written in terms of primitive Vassiliev invariants only.Comment: 15 pages, latex, 2 figure
More on softly broken N=2 QCD
We extend previous work on the soft breaking of supersymmetric QCD. We
present the formalism for the breaking due to a dilaton spurion for a general
gauge group and obtain the exact effective potential. We obtain some general
features of the vacuum structure in the pure Yang-Mills theory and we
also derive a general mass formula for this class of theories, in particular we
present explicit results for the mass spectrum in the case. Finally we
analyze the vacuum structure of the theory with one massless
hypermultiplet. This theory presents dyon condensation and a first order phase
transition in the supersymmetry breaking parameter driven by non-mutually local
BPS states. This could be a hint of Argyres-Douglas-like phases in
non-supersymmetric gauge theories.Comment: 35 pages, 9 Postscript figure
Compression-aware Training of Deep Networks
In recent years, great progress has been made in a variety of application
domains thanks to the development of increasingly deeper neural networks.
Unfortunately, the huge number of units of these networks makes them expensive
both computationally and memory-wise. To overcome this, exploiting the fact
that deep networks are over-parametrized, several compression strategies have
been proposed. These methods, however, typically start from a network that has
been trained in a standard manner, without considering such a future
compression. In this paper, we propose to explicitly account for compression in
the training process. To this end, we introduce a regularizer that encourages
the parameter matrix of each layer to have low rank during training. We show
that accounting for compression during training allows us to learn much more
compact, yet at least as effective, models than state-of-the-art compression
techniques.Comment: Accepted at NIPS 201
Integral mission in contemporary perspective: exploring an appropriate model of mission for Pentecostal churches with special reference to Honduras
The issue that I explore in this research is the understanding and praxis of integral mission by the Pentecostal churches in Honduras. The main question, which I seek to answer, is what Pentecostals in Honduras understand by integral mission. The study explores mission as carried out by Pentecostal churches in the local communities. The research process makes use of the interview and case study for the collection of data. It explores social, economic and political conditions of Honduras. It also examines the spiritual strength of the Pentecostal churches while serving people. Human transformation is dependent on the solution proposed by Pentecostals to solve the problems of poverty and marginalisation. For some, these social ills are endemic and for that reason they seem to be irreversible. But for those who believe in the transforming power of the gospel and serve in the strength and purpose of the Holy Spirit, such conditions are seen as opportunities for an integral and redemptive mission. The structure of this study is designed from the general to the specific. It also draws information from the historical Evangelical movement, the Roman Catholic Church and Pentecostal scenarios in Latin America and Honduras in particular. It opens up a debate in the Pentecostal theology of integral mission. It promotes a constructive reflection and a mature dialogue between Pentecostals and other Christian organisations that are involved in mission. This research shows that it is possible for Pentecostals to reach mutual understanding and co-operation for mission work with other bodies in true bonds of cooperation. This study could benefit Pentecostals as they explore new opportunities for social service, economic development, political participation and human transformation
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