This course offers an introduction to mathematical nonlinear optimization with applications in data science. The theoretical foundation and the fundamental algorithms for nonlinear optimization are ...

Machine learning is the ability of a machine to improve its performance based on previous results. Machine learning methods enable computers to learn without being explicitly programmed and have ...

Large language models appear aligned, yet harmful pretraining knowledge persists as latent patterns. Here, the authors prove current alignment creates only local safety regions, leaving global ...