These days, statisticians often deal with complex, high dimensional datasets. Researchers in statistics and machine learning have responded by creating many new methods for analyzing high dimensional data. However, many of these new methods depend on strong assumptions. The challenge of bringing low assumption inference to high dimensional settings requires new ways to think about the foundatio...

Artin's celebrated conjecture on primitive roots (Artin [l, p. viii], Hasse [2], Hooley [3]) suggests the following Conjecture. Let S' be a set of rational primes. For each q£-S, let Lq be an algebraic number field of degree n(q). For every square-f ree integer k, divisible only by primes of S, define Lk to be the composite of all Lq, q\ k, and denote n{k) =deg(Ljb/0). Assume that 2 * l/n(k) co...

One hint that Theorem 0.1 might be more tractable than Theorem 0.2 is that the maximum value of p is the critical exponent in multilinear restriction. Our proof of Theorem 0.1 indeed uses multilinear restriction as an input. This lecture is divided into 3 parts. First are the “multiscale tools”; a statement of some of the properties of the decoupling problem that makes arguments at different sc...

People often consume non-durable goods in a way that seems inconsistent with preferences for smoothing consumption over time. We suggest that such patterns of consumption can be better explained if one takes into account the memories that consumption generates. A memorable good, such as a honeymoon or a vacation, is a good whose mental consumption outlives its physical consumption. We consider ...

submitted to Larry Rusin, MD, CGA-ICC Vice President at [email protected]

Title 1 Characterization of a Novel Human Immunodeficiency Virus Type 1 Protease Inhibitor, 2 A-790742 3 Authors 4 Tatyana Dekhtyar*, Teresa I. Ng, Liangjun Lu, Sherie Masse, David A. DeGoey, William J. 5 Flosi, David J. Grampovnik, Larry L. Klein, Dale J. Kempf, Akhteruzzaman Molla 6 Global Pharmaceutical Research and Development, Abbott, Abbott Park, IL 60064, USA 7 Running Title 8 A-790742, ...

In “Buying Health: the Costs of Commercialization and an Alternative Philosophy”, Larry R. Churchill and Shelley C. Churchill discuss the commercialization of health and, in particular, the commercialization of nutrition. In this commentary on their article, I draw a connection between Churchill and Churchill’s account of the commercialization of nutrition and Michael Pollan’s critique of “nutr...