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Central Path Art
Thor Catteau, Benjamin Glancy, Allen Holder, Angela Milkowski, Alexa Renner, Connor Tasik, Rebecca Testa
https://arxiv.org/abs/2510.01933 https://

Central Path Art
The central path revolutionized the study of optimization in the 1980s and 1990s due to its favorable convergence properties, and as such, it has been investigated analytically, algorithmically, and computationally. Past pursuits have primarily focused on linking iterative approximation algorithms to the central path in the design of efficient algorithms to solve large, and sometimes novel, optimization problems. This algorithmic intent has meant that the central path has rarely been celebrated…

Control-affine Schr\"odinger Bridge and Generalized Bohm Potential
Alexis M. H. Teter, Abhishek Halder, Michael D. Schneider, Alexx S. Perloff, Jane Pratt, Conor M. Artman, Maria Demireva
https://arxiv.org/abs/2508.08511

Control-affine Schrödinger Bridge and Generalized Bohm Potential
The control-affine Schrödinger bridge concerns with a stochastic optimal control problem. Its solution is a controlled evolution of joint state probability density subject to a control-affine Itô diffusion with a given deadline connecting a given pair of initial and terminal densities. In this work, we recast the necessary conditions of optimality for the control-affine Schrödinger bridge problem as a two point boundary value problem for a quantum mechanical Schrödinger PDE with complex pot…