1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.OC2025
An alternative definition for c-convex functions and another synthetic statement of MTW condition
Seonghyeon Jeong
The main theorem of this paper states that the c-convexity and the alternative c-convexity are equivalent if and only if the cost function c satisfies MTW condition. The alternativ…
math.OC2024
Quadratic optimal transportation problem with a positive semi definite structure on the cost function
Seonghyeon Jeong
Optimal transportation problem seeks for a coupling of two probability measures and which minimize the total cost , which is linear in . In this paper, we…
stat.ML2024★ 1 cited
Convergence analysis of t-SNE as a gradient flow for point cloud on a manifold
Seonghyeon Jeong, Hau-Tieng Wu
We present a theoretical foundation regarding the boundedness of the t-SNE algorithm. t-SNE employs gradient descent iteration with Kullback-Leibler (KL) divergence as the objectiv…