The Paris Exposition.

The ` ` Palace of Discovery ' ' at the Paris Exposition of 1937

Université Paris Diderot — Paris 7

This thesis deals with statistical questions raised by the analysis of highdimensional genomic data for cancer research. In the first part, we study asymptotic properties of multiple testing procedures that aim at controlling the False Discovery Rate (FDR), that is, the expected False Discovery Proportion (FDP) among rejected hypotheses. We develop a versatile formalism to calculate the asympto...

Randomness Extractors – An Exposition

Randomness is crucial to computer science, both in theory and applications. In complexity theory, randomness augments computers to offer more powerful models. In cryptography, randomness is essential for seed generation, where the computational model used is generally probabilistic. However, ideal randomness, which is usually assumed to be available in computer science theory and applications, ...

A Visit to the Tsukuba Science Exposition

Tsukuba Expo ‘85 is huge, interesting, and fun. The Japanese pavilions are plush and well-organized, and contain some impressive artificial intelligence demonstrations. The U.S. pavilion is an embarrassment. Tsukuba Expo ‘85 opened on March 17,1985, to enormous publicity. The New York Times reported that “the budget for the fair is more than $2 billion, and individual companies have spent large...

An Exposition on the Chromatic Complex

1 The Chromatic Complex 2 1.1 The Chromatic Polynomial . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Quantum Dimension of Graded Modules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3 Categorification of the Chromatic Polynomial . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.3.1 Enhanced States . . . . . . . . . . . . . . . . . . . ....