Maximal Monotonicity and Cyclic Involutivity of Multiconjugate Convex Functions

T Lim - SIAM Journal on Optimization, 2023 - SIAM
A cornerstone in convex analysis is the crucial relationship between functions and their
convex conjugate via the Fenchel–Young inequality. In this dual variable setting, the …

60 years of cyclic monotonicity: a survey

L De Pascale, A Kausamo, K Wyczesany - arxiv preprint arxiv:2308.07682, 2023 - arxiv.org
arxiv:2308.07682v2 [math.OC] 13 Feb 2024 Page 1 arxiv:2308.07682v2 [math.OC] 13 Feb 2024
60 years of cyclic monotonicity: a survey L. De Pascale, A. Kausamo, K. Wyczesany Dedicated …

Monotone Curve Estimation via Convex Duality

T Lim, K Nam, J Sohn - arxiv preprint arxiv:2501.06975, 2025 - arxiv.org
A principal curve serves as a powerful tool for uncovering underlying structures of data
through 1-dimensional smooth and continuous representations. On the basis of optimal …

[PDF][PDF] COMPLETENESS AND MAXIMAL MONOTONICITY OF MULTI-CONJUGATE CONVEX FUNCTIONS ON THE LINE

T LIM - 2022 - tlim0213.github.io
A cornerstone in convex analysis is the crucial relationship between functions and their
convex conjugate via the Young-Fenchel inequality. In this bivariate case, the maximal …