2 papers
math.OC2025
Greedy Newton: Newton's Method with Exact Line Search
Betty Shea, Mark Schmidt
{A defining characteristic of Newton's method is local superlinear convergence within a neighbourhood of a strict local minimum. However, outside this neighborhood Newton's method…
cs.LG2024
Don't Be So Positive: Negative Step Sizes in Second-Order Methods
Betty Shea, Mark Schmidt
The value of second-order methods lies in the use of curvature information. Yet, this information is costly to extract and once obtained, valuable negative curvature information is…