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In this paper, we concentrate on a particular category of quadratically constrained quadratic programming (QCQP): nonconvex QCQP with one equality constraint. This type of QCQP problem optimizes a quadratic objective under a fixed…

Optimization and Control · Mathematics 2025-06-05 Licheng Zhao , Rui Zhou , Wenqiang Pu

In this paper, we propose a new sequential quadratic semidefinite programming (SQSDP) method for solving degenerate nonlinear semidefinite programs (NSDPs), in which we produce iteration points by solving a sequence of stabilized quadratic…

Optimization and Control · Mathematics 2022-11-09 Yuya Yamakawa , Takayuki Okuno

We propose a sequential quadratic programming (SQP) algorithm for inequality constrained optimization that is robust to the presence of bounded noise in function and derivative evaluations. We cover the case where constraint evaluations…

Optimization and Control · Mathematics 2026-04-17 Figen Oztoprak , Richard Byrd

Sequential quadratic programming and sequential convex programming efficiently solve nonlinear programs (NLPs) by linearizing inner nonlinearities while preserving the outer convex structure. This paper introduces a sequential mixed-integer…

Optimization and Control · Mathematics 2026-03-27 Andrea Ghezzi , Wim Van Roy , Sebastian Sager , Moritz Diehl

Dense conditional random fields (CRFs) have become a popular framework for modelling several problems in computer vision such as stereo correspondence and multi-class semantic segmentation. By modelling long-range interactions, dense CRFs…

Computer Vision and Pattern Recognition · Computer Science 2018-10-29 Thomas Joy , Alban Desmaison , Thalaiyasingam Ajanthan , Rudy Bunel , Mathieu Salzmann , Pushmeet Kohli , Philip H. S. Torr , M. Pawan Kumar

Mixed-Integer Quadratically Constrained Quadratic Programs arise in a variety of applications, particularly in energy, water, and gas systems, where discrete decisions interact with nonconvex quadratic constraints. These problems are…

Optimization and Control · Mathematics 2025-09-24 Ignacio Gómez-Casares , Pietro Belotti , Bissan Ghaddar , Julio González-Díaz

Large scale multiple-input multiple-output (MIMO) system is considered one of promising technologies for realizing next-generation wireless communication system (5G) to increasing the degrees of freedom in space and enhancing the link…

Information Theory · Computer Science 2014-07-24 Guan Gui , Li Xu

Media-based modulation (MBM) is a novel modulation technique that can improve the spectral efficiency of the existing wireless systems. In MBM, multiple radio frequency (RF) mirrors are placed near the transmit antenna(s) and are switched…

Information Theory · Computer Science 2021-01-07 Manish Mandloi , Devendra Singh Gurjar

Symbol-level precoding (SLP) manipulates the transmitted signals to accurately exploit the multi-user interference (MUI) in the multi-user downlink. This enables that all the resultant interference contributes to correct detection, which is…

Information Theory · Computer Science 2022-11-29 Junwen Yang , Ang Li , Xuewen Liao , Christos Masouros

Practical data detectors for future wireless systems with hundreds of antennas at the base station must achieve high throughput and low error rate at low complexity. Since the complexity of maximum-likelihood (ML) data detection is…

Information Theory · Computer Science 2016-12-01 Oscar Castañeda , Tom Goldstein , Christoph Studer

This paper focuses on the design of sequential quadratic optimization (commonly known as SQP) methods for solving large-scale nonlinear optimization problems. The most computationally demanding aspect of such an approach is the computation…

Optimization and Control · Mathematics 2020-02-27 James V. Burke , Frank E. Curtis , Hao Wang , Jiashan Wang

This paper proposes an elegant optimization framework consisting of a mix of linear-matrix-inequality and second-order-cone constraints. The proposed framework generalizes the semidefinite relaxation (SDR) enabled solution to the typical…

Information Theory · Computer Science 2023-08-21 Tuan Anh Le , Derrick Wing Kwan Ng , Xin-She Yang

Optimal symbol detection for multiple-input multiple-output (MIMO) systems is known to be an NP-hard problem. Conventional heuristic algorithms are either too complex to be practical or suffer from poor performance. Recently, several…

Information Theory · Computer Science 2020-02-11 Mathieu Goutay , Fayçal Ait Aoudia , Jakob Hoydis

In this paper, an efficient massive multiple-input multiple-output (MIMO) detector is proposed by employing a deep neural network (DNN). Specifically, we first unfold an existing iterative detection algorithm into the DNN structure, such…

Signal Processing · Electrical Eng. & Systems 2020-04-16 Jieyu Liao , Junhui Zhao , Feifei Gao , Geoffrey Ye Li

Large multiple-input multiple-output (MIMO) appears in massive multi-user MIMO and randomly-spread code-division multiple access (CDMA)-based wireless systems. In order to cope with the excessively high complexity of optimal data detection…

Information Theory · Computer Science 2018-11-06 Charles Jeon , Ramina Ghods , Arian Maleki , Christoph Studer

Massive MIMO (Multiple-Input Multiple-Output) is a key enabler for 5G and future wireless systems, boosting channel capacity, energy efficiency, and spectral efficiency. However, high power consumption and hardware costs of…

Optimization and Control · Mathematics 2025-12-08 Jie Zhang , Huifu Xu

A new approach to solving a class of rankconstrained semi-definite programming (SDP) problems, which appear in many signal processing applications such as transmit beamspace design in multiple-input multiple-output (MIMO) radar, downlink…

Information Theory · Computer Science 2016-10-10 Matthew W. Morency , Sergiy A. Vorobyov

The technique of semidefinite programming (SDP) relaxation can be used to obtain a nontrivial bound on the optimal value of a nonconvex quadratically constrained quadratic program (QCQP). We explore concave quadratic inequalities that hold…

Optimization and Control · Mathematics 2016-09-30 Jaehyun Park , Stephen Boyd

Greedy approaches in general, and orthogonal matching pursuit in particular, are the most commonly used sparse recovery techniques in a wide range of applications. The complexity of these approaches is highly dependent on the size of the…

Signal Processing · Electrical Eng. & Systems 2022-08-25 Joan Palacios , Nuria González-Prelcic , Cristian Rusu

Multi-Agent Aerial Load Transport Systems (MAATS) offer greater payload capacity and fault tolerance than single-drone solutions. However, they have an underdetermined tension allocation problem that leads to uneven energy distribution,…

Systems and Control · Electrical Eng. & Systems 2026-02-05 Lamberto Vazquez-Soqui , Fatima Oliva-Palomo , Diego Mercado-Ravell , Pedro Castillo
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