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We propose a novel adaptive, accelerated algorithm for the stochastic constrained convex optimization setting. Our method, which is inspired by the Mirror-Prox method, \emph{simultaneously} achieves the optimal rates for smooth/non-smooth…

Optimization and Control · Mathematics 2019-10-31 Ali Kavis , Kfir Y. Levy , Francis Bach , Volkan Cevher

This paper proposes a novel method for designing finite-horizon discrete-valued switching signals in linear switched systems based on discreteness-promoting regularization. The inherent combinatorial optimization problem is reformulated as…

Optimization and Control · Mathematics 2025-05-06 Masaaki Nagahara , Takuya Ikeda , Ritsuki Hoshimoto

We present a model-based derivative-free method for optimization subject to general convex constraints, which we assume are unrelaxable and accessed only through a projection operator that is cheap to evaluate. We prove global convergence…

Optimization and Control · Mathematics 2022-03-18 Matthew Hough , Lindon Roberts

In this paper, acceleration of gradient methods for convex optimization problems with weak levels of convexity and smoothness is considered. Starting from the universal fast gradient method which was designed to be an optimal method for…

Optimization and Control · Mathematics 2022-06-10 Jongho Park

Spread-spectrum signals are increasingly adopted in fields including communications, testing of electronic systems, Electro-Magnetic Compatibility (EMC) enhancement, ultrasonic non-destructive testing. This paper considers the synthesis of…

Data Analysis, Statistics and Probability · Physics 2014-12-22 Sergio Callegari

We solve a sum rate maximization problem of full-duplex (FD) multiuser multiple-input multiple-output (MU-MIMO) systems. Since additional self-interference (SI) in the uplink channel and co-channel interference (CCI) in the downlink channel…

Information Theory · Computer Science 2016-06-28 Jinwoo Kim , Wan Choi , Hyuncheol Park

This is the first treatise on multi-user (MU) beamforming designed for achieving long-term rate-fairness in fulldimensional MU massive multi-input multi-output (m-MIMO) systems. Explicitly, based on the channel covariances, which can be…

Information Theory · Computer Science 2023-12-12 W. Zhu , H. D. Tuan , E. Dutkiewicz , Y. Fang , H. V. Poor , L. Hanzo

An optimization algorithm for nonsmooth nonconvex constrained optimization problems with upper-C2 objective functions is proposed and analyzed. Upper-C2 is a weakly concave property that exists in difference of convex (DC) functions and…

Optimization and Control · Mathematics 2022-04-21 Jingyi Wang , Cosmin G. Petra

We propose a general alternating minimization algorithm for nonconvex optimization problems with separable structure and nonconvex coupling between blocks of variables. To fix our ideas, we apply the methodology to the problem of blind…

Optimization and Control · Mathematics 2018-02-07 Robert Hesse , D. Russell Luke , Shoham Sabach , Matthew K. Tam

In this paper, we aim to design the optimal sensor collaboration strategy for the estimation of time-varying parameters, where collaboration refers to the act of sharing measurements with neighboring sensors prior to transmission to a…

Information Theory · Computer Science 2016-11-23 Sijia Liu , Swarnendu Kar , Makan Fardad , Pramod K. Varshney

Over the next decade, improvements in cosmological parameter constraints will be driven by surveys of large-scale structure. Its inherent non-linearity suggests that significant information will be embedded in higher correlations beyond the…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-19 Joyce Byun , Alexander Eggemeier , Donough Regan , David Seery , Robert E. Smith

This paper considers joint beamformer design towards maximizing the mutual information in a coherent wireless sensor network with noisy observation and multiple antennae. Leveraging the weighted minimum mean square error and block…

Information Theory · Computer Science 2015-11-12 Yang Liu , Jing Li , Xuanxuan Lu

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

This work is concerned with optimal control of partial differential equations where the control enters the state equation as a coefficient and should take on values only from a given discrete set of values corresponding to available…

Optimization and Control · Mathematics 2017-02-27 Christian Clason , Karl Kunisch

Probing beam measurement (PBM)-based hybrid beamforming provides a feasible solution for cell-free MIMO. In this letter, we propose a novel probing beam optimization framework where three collaborative modules respectively realize PBM…

Information Theory · Computer Science 2024-09-23 Cheng Zhang , Shuangbo Xiong , Mengqing He , Lan Wei , Yongming Huang , Wei Zhang

In this letter we propose an optimization-based boundary controller for traffic flow dynamics capable of achieving both stability and invariance conditions. The approach is based on the definition of Boundary Control Barrier Functionals,…

Optimization and Control · Mathematics 2025-06-19 Maria Teresa Chiri , Roberto Guglielmi , Gennaro Notomista

We propose novel optimal and parameter-free algorithms for computing an approximate solution with small (projected) gradient norm. Specifically, for computing an approximate solution such that the norm of its (projected) gradient does not…

Optimization and Control · Mathematics 2024-11-18 Guanghui Lan , Yuyuan Ouyang , Zhe Zhang

In this paper, we study the non-convex problem of continuous frequency optimal spectrum management in multiuser frequency selective interference channels. Firstly, a simple pairwise channel condition for FDMA schemes to achieve all Pareto…

Information Theory · Computer Science 2011-02-21 Yue Zhao , Gregory J. Pottie

We develop a novel unified randomized block-coordinate primal-dual algorithm to solve a class of nonsmooth constrained convex optimization problems, which covers different existing variants and model settings from the literature. We prove…

Optimization and Control · Mathematics 2021-10-29 Quoc Tran-Dinh , Deyi Liu

This work shows the existence of optimal control laws for persistent monitoring of mobile targets in a one-dimensional mission space and derives explicit solutions. The underlying performance metric consists of minimizing the total…

Optimization and Control · Mathematics 2022-10-05 Jonas Hall , Sean B. Andersson , Christos G. Cassandras