ZZH coupling : A probe to the origin of EWSB ?
Choudhury, Debajyoti
2003-02-17
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Acquisition Research Program
Two options offered, both covering fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, interchange of limit operations. Both options show the utility of abstract concepts and teach understanding and construction of proofs. <I>Option A</I> chooses less abstract definitions and proofs, and gives applications where possible. <I>Option B</I> is more demanding and for students with more mathematical maturity. Places greater emphasis on point-set topology.
Nonnegative Matrix Factorization (NMF) has proven to be a useful tool for the
analysis of nonnegative multivariate data. However, it is known not to lead to unique
results when applied to Blind Source Separation (BSS) problems. In this paper
we present an extension of NMF capable of solving the BSS problem when the
underlying sources are sufficiently sparse. In contrast to most well-established BSS
methods, the devised algorithm is capable of solving the BSS problem in cases
where the underlying sources are not independent or uncorrelated. As the proposed
fitness function is discontinuous and possesses many local minima, we use a genetic
algorithm for its minimization. Finally, we apply the devised algorithm to real world
microarray data.
Stochastic multicriteria acceptability analysis (SMAA) is a family of methods for aiding multicriteria group decision making in problems with inaccurate, uncertain, or missing information. These methods are based on exploring the weight space in order to describe the preferences that make each alternative the most preferred one, or that would give a certain rank for a specific alternative. The main results of the analysis are rank acceptability indices, central weight vectors and confidence factors for different alternatives. The rank acceptability indices describe the variety of different preferences resulting in a certain rank for an alternative, the central weight vectors represent the typical preferences favouring each alternative, and the confidence factors measure whether the criteria measurements are sufficiently accurate for ma...
Graduation date: 2009
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With summary in Dutch
We present a direct construction of retroreflecting curves by means of Nonstandard Analysis. We construct non self-intersecting curves which are of class C(1), except for a hyper-finite set of values, such that the probability of a particle being reflected from the curve with the velocity opposite to the velocity of incidence, is infinitely close to 1. The constructed curves are of two kinds: a curve infinitely close to a straight line and a curve infinitely close to the boundary of a bounded convex set. We shall see that the latter curve is a solution of the problem: find the curve of maximum resistance infinitely close to a given curve.
Graduation date: 1991
With summary in Dutch
