1. A new training method for neural network in solving PDEs Open Access Author: Liang, Fei Title: A new training method for neural network in solving PDEs Area of Honors: Mathematics Keywords: Neural NetworkPDEDeep-Ritztraining methodefficiency File: Download A_New_Training_Method_for_Deep_Neural_Network_in_Solving_PDEs.pdf Thesis Supervisors: Xiantao Li, Thesis SupervisorXiantao Li, Thesis Honors AdvisorWenrui Hao, Faculty Reader
2. Unintentional Single-Family Loan Price and Approval Discrimination on Race through Financial Deserts Open Access Author: Liang, Deric Title: Unintentional Single-Family Loan Price and Approval Discrimination on Race through Financial Deserts Area of Honors: Statistics Keywords: statisticseconomicsmortgagesfinancial desertsdiscriminationregressionregularizationregression treemarket competition File: Download LiangDericThesis_FINAL.pdf Thesis Supervisors: Qi Li, Thesis SupervisorJia Li, Thesis Honors Advisor
3. Phase Coexistence for the Hard-Core Model on ℤ^2: Improved Bounds Open Access Author: Liang, Leo Title: Phase Coexistence for the Hard-Core Model on ℤ^2: Improved Bounds Area of Honors: Computer Science Keywords: taxi walksphase coexistencehard-core modelMarkov Chains Monte Carloself-avoiding walksMarkov chain mixing time File: Download thesis.pdf Thesis Supervisors: Antonio Blanca Pimentel, Thesis SupervisorRebecca Jane Passonneau, Thesis Honors Advisor