3 resultados para task structures in creative practice

em Duke University


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Constant technology advances have caused data explosion in recent years. Accord- ingly modern statistical and machine learning methods must be adapted to deal with complex and heterogeneous data types. This phenomenon is particularly true for an- alyzing biological data. For example DNA sequence data can be viewed as categorical variables with each nucleotide taking four different categories. The gene expression data, depending on the quantitative technology, could be continuous numbers or counts. With the advancement of high-throughput technology, the abundance of such data becomes unprecedentedly rich. Therefore efficient statistical approaches are crucial in this big data era.

Previous statistical methods for big data often aim to find low dimensional struc- tures in the observed data. For example in a factor analysis model a latent Gaussian distributed multivariate vector is assumed. With this assumption a factor model produces a low rank estimation of the covariance of the observed variables. Another example is the latent Dirichlet allocation model for documents. The mixture pro- portions of topics, represented by a Dirichlet distributed variable, is assumed. This dissertation proposes several novel extensions to the previous statistical methods that are developed to address challenges in big data. Those novel methods are applied in multiple real world applications including construction of condition specific gene co-expression networks, estimating shared topics among newsgroups, analysis of pro- moter sequences, analysis of political-economics risk data and estimating population structure from genotype data.

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Bayesian methods offer a flexible and convenient probabilistic learning framework to extract interpretable knowledge from complex and structured data. Such methods can characterize dependencies among multiple levels of hidden variables and share statistical strength across heterogeneous sources. In the first part of this dissertation, we develop two dependent variational inference methods for full posterior approximation in non-conjugate Bayesian models through hierarchical mixture- and copula-based variational proposals, respectively. The proposed methods move beyond the widely used factorized approximation to the posterior and provide generic applicability to a broad class of probabilistic models with minimal model-specific derivations. In the second part of this dissertation, we design probabilistic graphical models to accommodate multimodal data, describe dynamical behaviors and account for task heterogeneity. In particular, the sparse latent factor model is able to reveal common low-dimensional structures from high-dimensional data. We demonstrate the effectiveness of the proposed statistical learning methods on both synthetic and real-world data.

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Church leaders, both lay and clergy, shape Christian community. Among their central tasks are: building communal identity, nurturing Christian practices, and developing faithful structures. When it comes to understanding the approach of the earliest Christian communities to these tasks, the Didache might well be the most important text most twenty-first century church leaders have never read. The Didache innovated on tradition, shaping the second generation of Christians to meet the crises and challenges of a changing world.

Most likely composed in the second half of the first century, the Didache served as a training manual for gentile converts to Christianity, preparing them for life in Christian community. This brief document, roughly one third the length of Mark’s gospel, developed within early Jewish-Christian communities. It soon found wide usage throughout the Mediterranean region, and its influence endured throughout the patristic and into the medieval period.

The Didache outlines emerging Christian practices that were rooted in both Jewish tradition and early Jesus material, yet were reaching forward in innovative ways. The Didache adopts historical teachings and practices and then adapts them for an evolving context. In this respect, the writers of the Didache, as well as the community shaped by its message, exemplify the pattern of thinking described by Greg Jones as “traditioned innovation.”

The Didache invites reflection on the shape and content of Christian community and Christian leadership in the twenty-first century. As churches and church leaders engage a rapidly changing world, the Didache is an unlikely and yet important conversation partner from two millennia ago. A quick read through its pages – a task accomplished in less than half an hour – brings the reader face to face with a brand of Christianity both very familiar and strikingly dissimilar to modern Christianity. Such dissonance challenges current assumptions about the church and creates a space in which to re-imagine our situation in light of this ancient Christian tradition. The Didache provides a window through which we might re-examine current conceptualizations of Christian life, liturgy, and leadership.

This thesis begins with an exploration of the form and function of the Didache and an examination of a number of important background issues for the informed study of the Didache. The central chapters of this thesis exegete and explore select passages in each of the three primary sections of the Didache – the Two Ways (Didache 1-6), the liturgical section (Didache 7-10), and the church order (Didache 11-15). In each instance, the composers of the Didache reach back into a cherished and life-giving aspect of the community’s heritage and shape it anew into a fresh and faithful approach to living the Christian life in a drastically different context.

The thesis concludes with three suggestions of how the Didache may provide a resource for the way the Church in the present thinks about training disciples, shaping community, and developing leadership structures. These conversation starters offer beginning points for a richer, fuller discussion of traditioned innovation in our current church context. The Didache provides a source of wisdom from our spiritual forebears that modern Christian leaders would do well not to ignore. With a look through the first century window of the Didache, twenty-first century Christians can discover fresh insights for shaping Christian community in the present.