Browsing Mathematics (Faculty of) by Subject "entropy"
Now showing items 1-4 of 4
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Approximately Optimum Search Trees in External Memory Models
(University of Waterloo, 2016-05-16)We examine optimal and near optimal solutions to the classic binary search tree problem of Knuth. We are given a set of n keys (originally known as words), B_1, B_2, ..., B_n and 2n+1 frequencies. {p_1, p_2, ..., p_n} ... -
Entanglement Entropy in Quantum Gravity
(University of Waterloo, 2008-05-22)We study a proposed statistical explanation for the Bekenstein-Hawking entropy of a black hole in which entropy arises quantum-mechanically as a result of entanglement. Arguments for the identification of black hole entropy ... -
Entropy-based aggregate posterior alignment techniques for deterministic autoencoders and implications for adversarial examples
(University of Waterloo, 2020-08-27)We present results obtained in the context of generative neural models — specifically autoencoders — utilizing standard results from coding theory. The methods are fairly elementary in principle, yet, combined with the ... -
On the Application of Bandlimitation and Sampling Theory to Quantum Field Theory
(University of Waterloo, 2020-10-07)It is widely believed that combining the uncertainty principle with gravity will lead to an effective minimum length scale. A particular challenge is to specify this scale in a coordinate-independent manner so that covariance ...