collaborators

12 papers

math.OC2026

Successive Convexification for Trajectory Optimization with Continuous-time Satisfaction of Signal Temporal Logic Specifications

Samet Uzun, Behçet Açıkmeşe

This paper presents a successive convexification framework for trajectory optimization under continuous-time Signal Temporal Logic (CT-STL) specifications. The framework employs ge…

math.OC2026

Optimal Acceleration for Proximal Minimization of the Sum of Convex and Strongly Convex Functions

Govind M. Chari, Uijeong Jang, Ernest K. Ryu +1

When minimizing the sum of a convex and a strongly convex function, or when finding the zero of the sum of a monotone operator and a strongly monotone operator, Chambolle and Pock…

math.OC2026

Smooth and Exact Parameterization of Continuous-time Signal Temporal Logic Specifications for Trajectory Optimization

Samet Uzun, Behçet Açıkmeşe

This paper presents a smooth parameterization of continuous-time Signal Temporal Logic (CT-STL) specifications for nonconvex trajectory optimization that is sound and complete up t…

math.OC2026

QOCO-GPU: A Quadratic Objective Conic Optimizer with GPU Acceleration

Govind M. Chari, Behçet Açıkmeşe

We present a GPU-accelerated backend for QOCO, a C-based solver for quadratic objective second-order cone programs (SOCPs) based on a primal-dual interior point method. Our backend…

math.OC2026

QOCO: A Quadratic Objective Conic Optimizer with Custom Solver Generation

Govind M Chari, Behçet Açikmeşe

Second-order cone programs (SOCPs) with quadratic objective functions are common in optimal control and other fields. Most SOCP solvers which use interior-point methods are designe…

math.OC2025

A Proximal Method for Composite Optimization with Smooth and Convex Components

Samet Uzun, Dayou Luo, Behçet Açıkmeşe +1

We introduce prox-convex for minimizing , where and are convex, and are smooth, and each component of is convex (possibly nonsmooth).…