Browsing Mathematics (Faculty of) by Subject "property testing"
Now showing items 1-3 of 3
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Complexity of Sublinear Algorithms for Convexity in Higher Dimensions
(University of Waterloo, 2022-07-19)Convexity plays a prominent role in both mathematics and computer science. It is defined for sets and functions, and many related problems can be solved efficiently if the set/function is convex. In this thesis, we focus ... -
Halfway to Halfspace Testing
(University of Waterloo, 2017-10-18)In this thesis I study the problem of testing halfspaces under arbitrary probability distributions, using only random samples. A halfspace, or linear threshold function, is a boolean function f : Rⁿ → {±1} defined as the ... -
Testing, Learning, Sampling, Sketching
(University of Waterloo, 2022-08-22)We study several problems about sublinear algorithms, presented in two parts. Part I: Property testing and learning. There are two main goals of research in property testing and learning theory. The first is to understand ...