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The Eigenstep Method: A New Iterative Method For Unconstrained Quadratic Optimization., John P. Battaglia
The Eigenstep Method: A New Iterative Method For Unconstrained Quadratic Optimization., John P. Battaglia
Electronic Theses and Dissertations
This thesis presents a new method for the unconstrained minimization of convex quadratic programming problems. The method is an iterative method that is a modification of the classical steepest descent method. The methods are the same in the choice of the negative gradient as the search direction, but differ in the choice of step size. The steepest descent method uses the optimal step size, and the proposed method uses the reciprocal of the eigenvalues of the Hessian matrix as step sizes. Thus, the proposed method is referred to as the eigenstep method. It will be shown that the eigenstep method …
The Mathematical Structure Of Semantic Distances In Language Analysis., Jon Casey
The Mathematical Structure Of Semantic Distances In Language Analysis., Jon Casey
Electronic Theses and Dissertations
Studies of visual word recognition have focused on several characteristics of words, or words relative to other words. Notable among these characteristics are (a) orthographic---the appearance of the written form of a word, (b) phonological---the sound of a word in its spoken form, and (c) semantic---the relative position of a word with respect to other words in either written or spoken form. We will be focusing exclusively on semantic characteristics. Within the area of semantics, object based semantic measurements are taken after first manually grouping words into categories. On the other hand, language based semantic measurements are taken by using …