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This paper explores the non-convex composition optimization in the form including inner and outer finite-sum functions with a large number of component functions. This problem arises in some important applications such as nonlinear…

机器学习 · 统计学 2017-11-15 Liu Liu , Ji Liu , Dacheng Tao

In this paper, we consider the problem of minimum-time optimal control for a dynamical system with initial state uncertainties and propose a sequential convex programming (SCP) solution framework. We seek to minimize the expected terminal…

最优化与控制 · 数学 2024-09-17 Kazuya Echigo , Abhishek Cauligi , Behçet Açıkmeşe

Beamforming is an effective means to improve the quality of the received signals in multiuser multiple-input-single-output (MISO) systems. Traditionally, finding the optimal beamforming solution relies on iterative algorithms, which…

信息论 · 计算机科学 2020-01-15 Wenchao Xia , Gan Zheng , Yongxu Zhu , Jun Zhang , Jiangzhou Wang , Athina P. Petropulu

In this letter, we investigate a robust beamforming problem for localization-aided millimeter wave (mmWave) communication systems. To handle this problem, we propose a novel restriction and relaxation (R&R) method. The proposed R&R method…

信息论 · 计算机科学 2022-04-01 Junchang Sun , Shuai Ma , Shiyin Li , Ruixin Yang , Minghui Min , Gonzalo Seco-Granados

Integrated sensing and communication (ISAC) is expected to be offered as a fundamental service in the upcoming sixth-generation (6G) communications standard. However, due to the exposure of information-bearing signals to the sensing…

信号处理 · 电气工程与系统科学 2023-05-09 Vaibhav Kumar , Marwa Chafii , A. Lee Swindlehurst , Le-Nam Tran , Mark F. Flanagan

The cubic regularization method (CR) is a popular algorithm for unconstrained non-convex optimization. At each iteration, CR solves a cubically regularized quadratic problem, called the cubic regularization subproblem (CRS). One way to…

最优化与控制 · 数学 2022-09-28 Yihang Gao , Man-Chung Yue , Michael K. Ng

In this paper, we investigate the network power minimization problem for the multicast cloud radio access network (Cloud-RAN) with imperfect channel state information (CSI). The key observation is that network power minimization can be…

信息论 · 计算机科学 2015-12-23 Yuanming Shi , Jun Zhang , Khaled B. Letaief

Wideband communication receivers often deal with the problems of detecting weak signals from distant sources received together with strong nearby interferers. When the techniques of random modulation are used in communication system…

信息论 · 计算机科学 2018-11-15 Dian Mo , Marco F. Duarte

In this paper, we propose multi-input multi-output (MIMO) beamforming designs towards joint radar sensing and multi-user communications. We employ the Cram\'er-Rao bound (CRB) as a performance metric of target estimation, under both point…

信号处理 · 电气工程与系统科学 2022-01-26 Fan Liu , Ya-Feng Liu , Ang Li , Christos Masouros , Yonina C. Eldar

This article considers nonconvex global optimization problems subject to uncertainties described by continuous random variables. Such problems arise in chemical process design, renewable energy systems, stochastic model predictive control,…

最优化与控制 · 数学 2017-09-27 Yuanxun Shao , Joseph Kirk Scott

Transmit optimization and resource allocation for wireless cooperative networks with channel state information (CSI) uncertainty are important but challenging problems in terms of both the uncertainty modeling and performance op-…

信息论 · 计算机科学 2014-06-30 Yuanming Shi , Jun Zhang , Khaled B. Letaief

Multi-cell coordinated beamforming (MCBF), where multiple base stations (BSs) collaborate with each other in the beamforming design for mitigating the inter-cell interference, has been a subject drawing great attention recently. Most MCBF…

信息论 · 计算机科学 2015-10-28 Chao Shen , Tsung-Hui Chang , Kun-Yu Wang , Zhengding Qiu , Chong-Yung Chi

This paper presents a novel algorithm integrating global and robust optimization methods to solve continuous non-convex quadratic problems under convex uncertainty sets. The proposed Robust spatial branch-and-bound (RsBB) algorithm combines…

最优化与控制 · 数学 2025-11-18 Asimina Marousi , Vassilis M. Charitopoulos

In recent years there has been growing interest in study of multi-antenna transmit designs for providing secure communication over the physical layer. This paper considers the scenario of an intended multi-input single-output channel…

信息论 · 计算机科学 2015-05-20 Qiang Li , Wing-Kin Ma

In this paper, we propose a predictor-corrector type Consensus Based Optimization (CBO) algorithm on a convex feasible set. Our proposed algorithm generalizes the CBO algorithm in [11] to tackle a constrained optimization problem for the…

最优化与控制 · 数学 2021-10-14 Hyeong-Ohk Bae , Seung-Yeal Ha , Myeongju Kang , Hyuncheul Lim , Chanho Min , Jane Yoo

In this paper, we present a new method to solve a certain type of Semidefinite Programming (SDP) problems. These types of SDPs naturally arise in the Quadratic Convex Reformulation (QCR) method and can be used to obtain dual bounds of…

最优化与控制 · 数学 2023-12-27 Apostolos Chalkis , Thomas Kleinert , Boro Sofranac

We consider randomized block coordinate stochastic mirror descent (RBSMD) methods for solving high-dimensional stochastic optimization problems with strongly convex objective functions. Our goal is to develop RBSMD schemes that achieve a…

最优化与控制 · 数学 2019-02-15 Nahidsadat Majlesinasab , Farzad Yousefian , Arash Pourhabib

Multicell coordinated beamforming (MCBF) has been recognized as a promising approach to enhancing the system throughput and spectrum efficiency of wireless cellular systems. In contrast to the conventional single-cell beamforming (SBF)…

信息论 · 计算机科学 2011-06-08 Chao Shen , Kun-Yu Wang , Tsung-Hui Chang , Zhengding Qiu , Chong-Yung Chi

In this paper, we consider the classical robust adaptive beamforming (RAB) problem. Conventionally, this problem is solved either with an off-the-shelf solver like MOSEK or through the well-known RMVB algorithm based on Lagrange multiplier…

最优化与控制 · 数学 2026-03-11 Licheng Zhao , Rui Zhou , Wenqiang Pu

Binary tomography is concerned with the recovery of binary images from a few of their projections (i.e., sums of the pixel values along various directions). To reconstruct an image from noisy projection data, one can pose it as a…

图像与视频处理 · 电气工程与系统科学 2020-12-17 Ajinkya Kadu , Tristan van Leeuwen