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Counting And Sampling Small Structures In Graph And Hypergraph Data Streams, Themistoklis Haris
Counting And Sampling Small Structures In Graph And Hypergraph Data Streams, Themistoklis Haris
Dartmouth College Undergraduate Theses
In this thesis, we explore the problem of approximating the number of elementary substructures called simplices in large k-uniform hypergraphs. The hypergraphs are assumed to be too large to be stored in memory, so we adopt a data stream model, where the hypergraph is defined by a sequence of hyperedges.
First we propose an algorithm that (ε, δ)-estimates the number of simplices using O(m1+1/k / T) bits of space. In addition, we prove that no constant-pass streaming algorithm can (ε, δ)- approximate the number of simplices using less than O( m 1+1/k / T ) bits of space. Thus …
A Configurable Social Network For Running Irb-Approved Experiments, Mihovil Mandic
A Configurable Social Network For Running Irb-Approved Experiments, Mihovil Mandic
Dartmouth College Undergraduate Theses
Our world has never been more connected, and the size of the social media landscape draws a great deal of attention from academia. However, social networks are also a growing challenge for the Institutional Review Boards concerned with the subjects’ privacy. These networks contain a monumental variety of personal information of almost 4 billion people, allow for precise social profiling, and serve as a primary news source for many users. They are perfect environments for influence operations that are becoming difficult to defend against. Motivated to study online social influence via IRB-approved experiments, we designed and implemented a flexible, scalable, …