57 citations · 281 across the 23 of their papers we have counts for
7 papers · 1 filter
Detecting Concepts Crucial for Success in Mathematics Courses from Knowledge State-based Placement Data
Marc Harper, Alison Ahlgren Reddy
We show that individual topics and skills can have a dramatic effect on the outcomes of students in various mathematics courses at the University of Illinois. Data from the placeme…
Stationary Stability for Evolutionary Dynamics in Finite Populations
Marc Harper, Dashiell Fryer
We demonstrate a vast expansion of the theory of evolutionary stability to finite populations with mutation, connecting the theory of the stationary distribution of the Moran proce…
Mean Evolutionary Dynamics for Stochastically Switching Environments
Marc Harper, Dashiell Fryer, Andrew Vlasic
Populations of replicating entities frequently experience sudden or cyclical changes in environment. We explore the implications of this phenomenon via a environmental switching pa…
Incentive Processes in Finite Populations
Marc Harper, Dashiell Fryer
We define the incentive process, a natural generalization of the Moran process incorporating evolutionary updating mechanisms corresponding to well-known evolutionary dynamics, suc…
The Inherent Randomness of Evolving Populations
Marc Harper
The entropy rates of the Wright-Fisher process, the Moran process, and generalizations are computed and used to compare these processes and their dependence on standard evolutionar…
Comprehensive Detection of Genes Causing a Phenotype using Phenotype Sequencing and Pathway Analysis
Marc Harper, Luisa Gronenberg, James Liao +1
Discovering all the genetic causes of a phenotype is an important goal in functional genomics. In this paper we combine an experimental design for multiple independent detections o…