The Pastor After the Heart of God

In the first of his Pastoral Letters (1 Tim. 3:1) Paul calls the office of a bishop (ἐπιοχοπή) a good work, χαλὸν ε̈ογον. That is a brief but beautiful and most significant characterization of the Christian ministry

Brief Studies

In spite of many fine Bible translations the pastor will constantly turn to his Greek New Testament, for no translation can reproduce fully the many fine shades of meaning in the original. A careful study of the original will frequently bring the exact meaning of a text or a word into sharper focus, change wholly or in part the meaning conveyed in the translation, or may even correct a misleading and inadequate translation. A few samples chosen at random will illustrate this

Conformal Anomaly Of Submanifold Observables In AdS/CFT Correspondence

We analyze the conformal invariance of submanifold observables associated with $k$-branes in the AdS/CFT correspondence. For odd $k$, the resulting observables are conformally invariant, and for even $k$, they transform with a conformal anomaly that is given by a local expression which we analyze in detail for $k=2$Comment: 11 p

Google Votes: A Liquid Democracy Experiment on a Corporate Social Network

This paper introduces Google Votes, an experiment in liquid democracy built on Google\u27s internal corporate Google+ social network. Liquid democracy decision-making systems can scale to cover large groups by enabling voters to delegate their votes to other voters. This approach is in contrast to direct democracy systems where voters vote directly on issues, and representative democracy systems where voters elect representatives to vote on issues for them. Liquid democracy systems can provide many of the benefits of both direct and representative democracy systems with few of the weaknesses. Thus far, high implementation complexity and infrastructure costs have prevented widespread adoption. Google Votes demonstrates how the use of social-networking technology can overcome these barriers and enable practical liquid democracy systems. The case-study of Google Votes usage at Google over a 3 year timeframe is included, as well as a framework for evaluating vote visibility called the Golden Rule of Liquid Democracy

Testing Conditional Independence of Discrete Distributions

We study the problem of testing \emph{conditional independence} for discrete distributions. Specifically, given samples from a discrete random variable $(X, Y, Z)$ on domain $[\ell_1]\times[\ell_2] \times [n]$, we want to distinguish, with probability at least $2/3$, between the case that $X$ and $Y$ are conditionally independent given $Z$ from the case that $(X, Y, Z)$ is $\epsilon$-far, in $\ell_1$-distance, from every distribution that has this property. Conditional independence is a concept of central importance in probability and statistics with a range of applications in various scientific domains. As such, the statistical task of testing conditional independence has been extensively studied in various forms within the statistics and econometrics communities for nearly a century. Perhaps surprisingly, this problem has not been previously considered in the framework of distribution property testing and in particular no tester with sublinear sample complexity is known, even for the important special case that the domains of $X$ and $Y$ are binary. The main algorithmic result of this work is the first conditional independence tester with {\em sublinear} sample complexity for discrete distributions over $[\ell_1]\times[\ell_2] \times [n]$. To complement our upper bounds, we prove information-theoretic lower bounds establishing that the sample complexity of our algorithm is optimal, up to constant factors, for a number of settings. Specifically, for the prototypical setting when $\ell_1, \ell_2 = O(1)$, we show that the sample complexity of testing conditional independence (upper bound and matching lower bound) is \[ \Theta\left({\max\left(n^{1/2}/\epsilon^2,\min\left(n^{7/8}/\epsilon,n^{6/7}/\epsilon^{8/7}\right)\right)}\right)\,. \

Private Multiplicative Weights Beyond Linear Queries

A wide variety of fundamental data analyses in machine learning, such as linear and logistic regression, require minimizing a convex function defined by the data. Since the data may contain sensitive information about individuals, and these analyses can leak that sensitive information, it is important to be able to solve convex minimization in a privacy-preserving way. A series of recent results show how to accurately solve a single convex minimization problem in a differentially private manner. However, the same data is often analyzed repeatedly, and little is known about solving multiple convex minimization problems with differential privacy. For simpler data analyses, such as linear queries, there are remarkable differentially private algorithms such as the private multiplicative weights mechanism (Hardt and Rothblum, FOCS 2010) that accurately answer exponentially many distinct queries. In this work, we extend these results to the case of convex minimization and show how to give accurate and differentially private solutions to *exponentially many* convex minimization problems on a sensitive dataset

Embedding Principal Component Analysis for Data Reductionin Structural Health Monitoring on Low-Cost IoT Gateways

Principal component analysis (PCA) is a powerful data reductionmethod for Structural Health Monitoring. However, its computa-tional cost and data memory footprint pose a significant challengewhen PCA has to run on limited capability embedded platformsin low-cost IoT gateways. This paper presents a memory-efficientparallel implementation of the streaming History PCA algorithm.On our dataset, it achieves 10x compression factor and 59x memoryreduction with less than 0.15 dB degradation in the reconstructedsignal-to-noise ratio (RSNR) compared to standard PCA. More-over, the algorithm benefits from parallelization on multiple cores,achieving a maximum speedup of 4.8x on Samsung ARTIK 710

Difficult Lessons on Social Prediction from Wisconsin Public Schools

Early warning systems (EWS) are prediction algorithms that have recently taken a central role in efforts to improve graduation rates in public schools across the US. These systems assist in targeting interventions at individual students by predicting which students are at risk of dropping out. Despite significant investments and adoption, there remain significant gaps in our understanding of the efficacy of EWS. In this work, we draw on nearly a decade's worth of data from a system used throughout Wisconsin to provide the first large-scale evaluation of the long-term impact of EWS on graduation outcomes. We present evidence that risk assessments made by the prediction system are highly accurate, including for students from marginalized backgrounds. Despite the system's accuracy and widespread use, we find no evidence that it has led to improved graduation rates. We surface a robust statistical pattern that can explain why these seemingly contradictory insights hold. Namely, environmental features, measured at the level of schools, contain significant signal about dropout risk. Within each school, however, academic outcomes are essentially independent of individual student performance. This empirical observation indicates that assigning all students within the same school the same probability of graduation is a nearly optimal prediction. Our work provides an empirical backbone for the robust, qualitative understanding among education researchers and policy-makers that dropout is structurally determined. The primary barrier to improving outcomes lies not in identifying students at risk of dropping out within specific schools, but rather in overcoming structural differences across different school districts. Our findings indicate that we should carefully evaluate the decision to fund early warning systems without also devoting resources to interventions tackling structural barriers