5 citations · 9 across the 9 of their papers we have counts for
9 papers
Fair and Accurate Regression: Strong Formulations and Algorithms
Anna Deza, Andrés Gómez, Alper Atamtürk
This paper introduces mixed-integer optimization methods to solve regression problems that incorporate fairness metrics. We propose an exact formulation for training fair regressio…
Strong Formulations for Hybrid System Control
Jisun Lee, Hyungki Im, Alper Atamtürk
We study the mixed-integer quadratic programming formulation of an -period hybrid control problem with a convex quadratic cost function and linear dynamics. We first give the co…
Polyhedral Analysis of Quadratic Optimization Problems with Stieltjes Matrices and Indicators
Peijing Liu, Alper Atamtürk, Andrés Gómez +1
In this paper, we consider convex quadratic optimization problems with indicators on the continuous variables. In particular, we assume that the Hessian of the quadratic term is a…
On the Softplus Penalty for Constrained Convex Optimization
Meng Li, Paul Grigas, Alper Atamturk
We study a new penalty reformulation of constrained convex optimization based on the softplus penalty function. We develop novel and tight upper bounds on the objective value gap a…
Parabolic Relaxation for Quadratically-constrained Quadratic Programming -- Part II: Theoretical & Computational Results
Ramtin Madani, Mersedeh Ashraphijuo, Mohsen Kheirandishfard +1
In the first part of this work [32], we introduce a convex parabolic relaxation for quadratically-constrained quadratic programs, along with a sequential penalized parabolic relaxa…
Parabolic Relaxation for Quadratically-constrained Quadratic Programming -- Part I: Definitions & Basic Properties
Ramtin Madani, Mersedeh Ashraphijuo, Mohsen Kheirandishfard +1
For general quadratically-constrained quadratic programming (QCQP), we propose a parabolic relaxation described with convex quadratic constraints. An interesting property of the pa…