Convolutional Color Constancy

Color constancy is the problem of inferring the color of the light that illuminated a scene, usually so that the illumination color can be removed. Because this problem is underconstrained, it is often solved by modeling the statistical regularities of the colors of natural objects and illumination. In contrast, in this paper we reformulate the problem of color constancy as a 2D spatial localization task in a log-chrominance space, thereby allowing us to apply techniques from object detection and structured prediction to the color constancy problem. By directly learning how to discriminate between correctly white-balanced images and poorly white-balanced images, our model is able to improve performance on standard benchmarks by nearly 40%

Through a Glass Darkly: Defining Love in a Nation of Tolerance

This paper features an original one-act drama Through a Glass Darkly and analyzes its constructs and themes. The play, written in the contemporary style, depicts the tension between homosexuals and Christians in American culture through emphasizing the contrasting interpretations of love between both communities. It tells the story of Ben, a young gay man struggling to find fulfillment, whose new-found friendship with a Christian named Adam causes him to reevaluate his understanding of love. The play explores the variations of love in an attempt to not only answer what love truly means, but rather what form of love carries the most meaning. Deriving inspiration from 1 Corinthians 13:12, Through a Glass Darkly is based on the concept that the purpose of difficult situations in one’s life may not be made clear until Christ’s return, but until then, the most important command is to love

Renormalized Polyakov Loops, Matrix Models and the Gross-Witten Point

The values of renormalized Polyakov loops in the three lowest representations of SU(3) were measured numerically on the lattice. We find that in magnitude, condensates respect the large-N property of factorization. In several ways, the deconfining phase transition for N=3 appears to be like that in the N=infinity matrix model of Gross and Witten. Surprisingly, we find that the values of the renormalized triplet loop are described by an SU(3) matrix model, with an effective action dominated by the triplet loop. Future numerical simulations with a larger number of colors should be able to show whether or not the deconfining phase transition is close to the Gross-Witten point.Comment: 9 pages, 3 figures, Combined contribution to proceedings of Strong and Electroweak Matter 2004 (SEWM 2004), Helsinki, Finland, 16-19 June 200

A note on the 1-prevalence of continuous images with full Hausdorff dimension

We consider the Banach space consisting of real-valued continuous functions on an arbitrary compact metric space. It is known that for a prevalent (in the sense of Hunt, Sauer and Yorke) set of functions the Hausdorff dimension of the image is as large as possible, namely 1. We extend this result by showing that `prevalent' can be replaced by `1-prevalent', i.e. it is possible to \emph{witness} this prevalence using a measure supported on a one dimensional subspace. Such one dimensional measures are called \emph{probes} and their existence indicates that the structure and nature of the prevalence is simpler than if a more complicated `infinite dimensional' witnessing measure has to be used.Comment: 8 page