This paper describes Convex1, a convex optimization modeling framework in Julia. Convex
translates problems from a user-friendly functional language into an abstract syntax tree …

In this paper, we provide a comprehensive convergence rate analysis of the Douglas-
Rachford splitting (DRS), Peaceman-Rachford splitting (PRS), and alternating direction …

Reaction coordinates are widely used throughout chemical physics to model and
understand complex chemical transformations. We introduce a definition of the natural …

Establishing point correspondences between shapes is extremely challenging as it involves
both finding sets of semantically persistent feature points, as well as their combinatorial …

We present a unifying framework for generating extended formulations for the polyhedral
outer approximations used in algorithms for mixed-integer convex programming (MICP) …

We present alfonso, an open-source Matlab package for solving conic optimization
problems over nonsymmetric convex cones. The implementation is based on the authors' …

Data are often represented as graphs. Many common tasks in data science are based on
distances between entities. While some data science methodologies natively take graphs as …

The significant progress that has been made in recent years both in hardware
implementations and in numerical computing has rendered real-time optimization-based …

Physical-layer key generation has emerged as a promising avenue for establishing secret
keys using reciprocal channel measurements between wireless devices. However, channel …

We establish connections between the facial reduction algorithm of Borwein and Wolkowicz
and the self-dual homogeneous model of Goldman and Tucker when applied to conic …