11 papers
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…
Penalized Semidefinite Programming for Quadratically-Constrained Quadratic Optimization
Ramtin Madani, Mohsen Kheirandishfard, Javad Lavaei +1
In this paper, we give a new penalized semidefinite programming approach for non-convex quadratically-constrained quadratic programs (QCQPs). We incorporate penalty terms into the…
Class Conditional Alignment for Partial Domain Adaptation
Mohsen Kheirandishfard, Fariba Zohrizadeh, Farhad Kamangar
Adversarial adaptation models have demonstrated significant progress towards transferring knowledge from a labeled source dataset to an unlabeled target dataset. Partial domain ada…
Multi-Level Representation Learning for Deep Subspace Clustering
Mohsen Kheirandishfard, Fariba Zohrizadeh, Farhad Kamangar
This paper proposes a novel deep subspace clustering approach which uses convolutional autoencoders to transform input images into new representations lying on a union of linear su…
Convex Relaxation of Bilinear Matrix Inequalities Part II: Applications to Optimal Control Synthesis
Mohsen Kheirandishfard, Fariba Zohrizadeh, Muhammad Adil +1
The first part of this paper proposed a family of penalized convex relaxations for solving optimization problems with bilinear matrix inequality (BMI) constraints. In this part, we…
Convex Relaxation of Bilinear Matrix Inequalities Part I: Theoretical Results
Mohsen Kheirandishfard, Fariba Zohrizadeh, Ramtin Madani
This two-part paper is concerned with the problem of minimizing a linear objective function subject to a bilinear matrix inequality (BMI) constraint. In this part, we first conside…
Sequential Relaxation of Unit Commitment with AC Transmission Constraints
Fariba Zohrizadeh, Mohsen Kheirandishfard, Adnan Nasir +1
This paper proposes a sequential convex relaxation method for obtaining feasible and near-globally optimal solutions for unit commitment (UC) with AC transmission constraints. Firs…
Penalized Parabolic Relaxation for Optimal Power Flow Problem
Fariba Zohrizadeh, Mohsen Kheirandishfard, Edward Quarm +1
This paper is concerned with optimal power flow (OPF), which is the problem of optimizing the transmission of electricity in power systems. Our main contributions are as follows: (…
Image Segmentation using Sparse Subset Selection
Fariba Zohrizadeh, Mohsen Kheirandishfard, Farhad Kamangar
In this paper, we present a new image segmentation method based on the concept of sparse subset selection. Starting with an over-segmentation, we adopt local spectral histogram fea…
Natural Scene Image Segmentation Based on Multi-Layer Feature Extraction
Fariba Zohrizadeh, Mohsen Kheirandishfard, Farhad Kamangar
This paper addresses the problem of natural image segmentation by extracting information from a multi-layer array which is constructed based on color, gradient, and statistical pro…