Discovering affine equalities using random interpretation

Program analysis using random interpretation

Program Analysis using Random Interpretation by Sumit Gulwani Doctor of Philosophy in Computer Science University of California, Berkeley Professor George C. Necula, Chair Random interpretation is a new program analysis technique that uses the power of randomization to verify and discover program properties. It is inspired by, and combines the strengths of, the two complementary techniques for ...

Truss Analysis Discussion and Interpretation Using Linear Systems of Equalities and Inequalities

This paper shows the complementary roles of mathematical and engineering points of view when dealing with truss analysis problems involving systems of linear equations and inequalities. After the compatibility condition and the mathematical structure of the general solution of a system of linear equations is discussed, the truss analysis problem is used to illustrate its mathematical and engine...

Discovering Word Senses from Text Using Random Indexing

Random Indexing is a novel technique for dimensionality reduction while creating Word Space model from a given text. This paper explores the possible application of Random Indexing in discovering word senses from the text. The words appearing in the text are plotted onto a multi-dimensional Word Space using Random Indexing. The geometric distance between words is used as an indicative of their ...

Random Distributions, Random Affine Systems, Sampling of Renewal Processes

Isotropic Random Walks on Affine Buildings

Recently, Cartwright and Woess [5] provided a detailed analysis of isotropic random walks on the vertices of thick affine buildings of type Ãn. Their results generalise results of Sawyer [18] where homogeneous trees are studied (these are Ã1 buildings), and Lindlbauer and Voit [9], where Ã2 buildings are studied. In this paper we apply techniques of spherical harmonic analysis to prove a local ...