1. DYNAMICS OF MINIMAL PERMITTED MOTIFS IN COMBINATORIAL THRESHOLD-LINEAR NETWORKS Open Access Author: Falk, David Benjamin Title: DYNAMICS OF MINIMAL PERMITTED MOTIFS IN COMBINATORIAL THRESHOLD-LINEAR NETWORKS Area of Honors: Mathematics Keywords: CTLNneural networkthreshold linearmathematical modelingmathematical neurosciencemathematical biologyminimal permitted motifnonlinear dynamicsdifferential equationsgraph theorycombinatoricsdiscrete mathematicssymmetryneuronsclique unioncyclic union File: Download David_Falk_Thesis.pdf Thesis Supervisors: Carina Pamela Curto, Thesis SupervisorMark Levi, Thesis Honors Advisor
2. Finding New Obstructions to Convexity in Neural Codes using Algebra Open Access Author: Lent, Joseph Title: Finding New Obstructions to Convexity in Neural Codes using Algebra Area of Honors: Mathematics Keywords: convexneural codesnon-local obstructions File: Download Final_Thesis_Joseph_Lent.pdf Thesis Supervisors: Carina Pamela Curto, Thesis SupervisorLaura Rotunno, Thesis Honors AdvisorVladimir Itskov, Faculty Reader
3. A mean-field theory for quantum neural networks Open Access Author: Cohen, Ryan Title: A mean-field theory for quantum neural networks Area of Honors: Mathematics Keywords: Quantum computingNeural networks File: Download Cohen_Ryan_Thesis.pdf Thesis Supervisors: Xiantao Li, Thesis SupervisorCarina Pamela Curto, Thesis Honors Advisor