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We focus on the problem of minimizing the sum of smooth component functions (where the sum is strongly convex) and a non-smooth convex function, which arises in regularized empirical risk minimization in machine learning and distributed…

Optimization and Control · Mathematics 2016-08-08 Nuri Denizcan Vanli , Mert Gurbuzbalaban , Asu Ozdaglar

In this paper, an intelligent reflecting surface (IRS) is deployed to assist the terahertz (THz) communications. The molecular absorption causes path loss peaks to appear in the THz frequency band, and the fading peak is greatly affected by…

Information Theory · Computer Science 2020-08-28 Yijin Pan , Kezhi Wang , Cunhua Pan , Huiling Zhu , Jiangzhou Wang

Reconfigurable intelligent surfaces (RIS) is a promising solution to build a programmable wireless environment via steering the incident signal in fully customizable ways with reconfigurable passive elements. In this paper, we consider a…

Signal Processing · Electrical Eng. & Systems 2019-12-30 Huayan Guo , Ying-Chang Liang , Jie Chen , Erik G. Larsson

This letter studies joint transmit beamforming and antenna selection at a secondary base station (BS) with multiple primary users (PUs) in an underlay cognitive radio multiple-input single-output broadcast channel. The objective is to…

Information Theory · Computer Science 2017-03-02 Van-Dinh Nguyen , Chuyen T. Nguyen , Hieu V. Nguyen , Oh-Soon Shin

This paper investigates the joint data and pilot power optimization for maximum sum spectral efficiency (SE) in multi-cell Massive MIMO systems, which is a non-convex problem. We first propose a new optimization algorithm, inspired by the…

Information Theory · Computer Science 2019-03-21 Trinh Van Chien , Emil Björnson , Erik G. Larsson

Optimization models with non-convex constraints arise in many tasks in machine learning, e.g., learning with fairness constraints or Neyman-Pearson classification with non-convex loss. Although many efficient methods have been developed…

Optimization and Control · Mathematics 2023-03-24 Runchao Ma , Qihang Lin , Tianbao Yang

Constrained submodular set function maximization problems often appear in multi-agent decision-making problems with a discrete feasible set. A prominent example is the problem of multi-agent mobile sensor placement over a discrete domain.…

Optimization and Control · Mathematics 2020-12-01 Navid Rezazadeh , Solmaz S. Kia

We design accelerated algorithms with improved rates for several fundamental classes of optimization problems. Our algorithms all build upon techniques related to the analysis of primal-dual extragradient methods via relative Lipschitzness…

Optimization and Control · Mathematics 2022-02-10 Yujia Jin , Aaron Sidford , Kevin Tian

In this paper, we use Proximal Cubic regularized Newton Methods (PCNM) to optimize the sum of a smooth convex function and a non-smooth convex function, where we use inexact gradient and Hessian, and an inexact subsolver for the cubic…

Optimization and Control · Mathematics 2019-02-27 Chaobing Song , Ji Liu , Yong Jiang

In this paper, we study the problem of maximizing continuous submodular functions that naturally arise in many learning applications such as those involving utility functions in active learning and sensing, matrix approximations and network…

Machine Learning · Computer Science 2017-08-16 Hamed Hassani , Mahdi Soltanolkotabi , Amin Karbasi

State-of-the-art methods for solving smooth optimization problems are nonlinear conjugate gradient, low memory BFGS, and Majorize-Minimize (MM) subspace algorithms. The MM subspace algorithm which has been introduced more recently has shown…

Optimization and Control · Mathematics 2016-08-24 Emilie Chouzenoux , Jean-Christophe Pesquet

Convex approximation sets for multiobjective optimization problems are a well-studied relaxation of the common notion of approximation sets. Instead of approximating each image of a feasible solution by the image of some solution in the…

Optimization and Control · Mathematics 2023-06-13 Stephan Helfrich , Stefan Ruzika , Clemens Thielen

In this paper, we propose an efficient joint precoding design method to maximize the weighted sum-rate in wideband intelligent reflecting surface (IRS)-assisted cell-free networks by jointly optimizing the active beamforming of base…

Signal Processing · Electrical Eng. & Systems 2024-12-10 Yajun Wang , Jinghan Jiang , Xin Du , Zhuxian Lian , Qingqing Wu , Wen Chen

Constrained Optimization solution algorithms are restricted to point based solutions. In practice, single or multiple objectives must be satisfied, wherein both the objective function and constraints can be non-convex resulting in multiple…

Neural and Evolutionary Computing · Computer Science 2021-01-05 Gurpreet Singh , Soumyajit Gupta , Matthew Lease

The security of spatial modulation (SM) aided networks can always be improved by reducing the desired link's power at the cost of degrading its bit error ratio performance and assuming the power consumed to artificial noise (AN) projection…

Signal Processing · Electrical Eng. & Systems 2019-05-27 Guiyang Xia , Yan Lin , Tingting Liu , Feng Shu , Lajos Hanzo

In this paper, we propose a new distributed energy beamforming and information transfer (DEBIT) scheme for realizing simultaneous wireless information and power transfer (SWIPT) in multiway relay networks (MWRNs), where multiple…

Information Theory · Computer Science 2017-10-10 Zhaoxi Fang , Xiaojun Yuan

This paper considers a general stochastic resource allocation problem that arises widely in wireless networks, cognitive radio, networks, smart-grid communications, and cross-layer design. The problem formulation involves expectations with…

Optimization and Control · Mathematics 2017-12-12 Amrit Singh Bedi , Ketan Rajawat

Reconfigurable holographic surfaces (RHS) are intrinsically amalgamated with reconfigurable intelligent surfaces (RIS), for beneficially ameliorating the signal propagation environment. This potent architecture significantly improves the…

Signal Processing · Electrical Eng. & Systems 2024-10-22 Pavan Kumar Gadamsetty , K. V. S. Hari , Lajos Hanzo

The push-sum based subgradient is an important method for distributed convex optimization over unbalanced directed graphs, which is known to converge at a rate of $O(\ln t/\sqrt{t})$. This paper shows that the subgradient-push algorithm…

Optimization and Control · Mathematics 2023-08-03 Yixuan Lin , Ji Liu

In this paper, we introduce a stochastic projected subgradient method for weakly convex (i.e., uniformly prox-regular) nonsmooth, nonconvex functions---a wide class of functions which includes the additive and convex composite classes. At a…

Optimization and Control · Mathematics 2018-09-19 Damek Davis , Benjamin Grimmer
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