This work presents probability inequalities for sums of independent, random, selfadjoint matrices. The results frame simple, easily verifiable hypotheses on the summands, and they yield strong conclusions about the large-deviation behavior of the maximum eigenvalue of the sum. Tail bounds for the norm of a sum of rectangular matrices follow as an immediate corollary, and similar techniques yiel...

We study the internal dynamical processes taking place in a granular packing below yield stress. At all packing fractions and down to vanishingly low applied shear, a logarithmic creep is observed. The experiments are analyzed using a viscoelastic model which introduces an internal, time-dependent, fluidity variable. For all experiments, the creep dynamics can be rescaled onto a unique curve wh...

A new strategy for the layout of integrated resistors that minimizes yield loss due to random sheet resistance variations for a given area in ratio-critical applications is introduced. The strategy is based upon the optimal partitioning of area between the resistors that must be ratio-matched and on the practical realization of the partitioned resistors with unit resistor cells. This strategy p...

This paper addresses the same quality management problem as Ou and Wein (1992), except that here screening is performed at the chip level, rather than at the wafer level. We analyze over 300 wafers from two industrial facilities and use a Markov random field model to capture the spatial clustering of bad chips. Chip screening strategies are proposed that exploit the various types of yield nonun...

Most representative decision tree ensemble methods have been used to examine the variable importance of Treasury term spreads predict US economic recessions with a balance generating rules for recession detection. A strategy is proposed training classifiers data and results are compared in order select best model interpretability. We also discuss use SHapley Additive exPlanations (SHAP) framewo...

Animals with the same lactation breeding value can have different shapes of additive genetic curve, implying differences in persistency lactation. Since environmental conditions change across lactation, animals re-rank through leading to genotype by environment interaction for daily milk yield. The objectives this project is describe curve pattern estimated values and assess extent sire cow re-...

Covering arrays of strength two have been widely studied as combinatorial models of software interaction test suites for pairwise testing. While numerous algorithmic techniques have been developed for the generation of covering arrays with few columns (factors), the construction of covering arrays with many factors and few tests by these techniques is problematic. Random generation techniques c...