3 papers
math.OC2019
Knot Locating in Piecewise Linear Approximation
Carlos Ugaz, Lanshan Han, Alvin Lim
Many separable nonlinear optimization problems can be approximated by their nonlinear objective functions with piecewise linear functions. A natural question arising from applying…
cs.LG2019
Quadratic Surface Support Vector Machine with L1 Norm Regularization
Ahmad Mousavi, Zheming Gao, Lanshan Han +1
We propose norm regularized quadratic surface support vector machine models for binary classification in supervised learning. We establish their desired theoretical proper…
stat.ML2019
Beyond the EM Algorithm: Constrained Optimization Methods for Latent Class Model
Hao Chen, Lanshan Han, Alvin Lim
Latent class model (LCM), which is a finite mixture of different categorical distributions, is one of the most widely used models in statistics and machine learning fields. Because…