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We propose a distributed nonparametric algorithm for solving measure-valued optimization problems with additive objectives. Such problems arise in several contexts in stochastic learning and control including Langevin sampling from an…

Optimization and Control · Mathematics 2022-02-21 Iman Nodozi , Abhishek Halder

This paper considers a convex optimization problem with cost and constraints that evolve over time. The function to be minimized is strongly convex and possibly non-differentiable, and variables are coupled through linear constraints. In…

Systems and Control · Electrical Eng. & Systems 2021-01-13 Yijian Zhang , Emiliano Dall'Anese , Mingyi Hong

Many practical applications of optimal control are subject to real-time computational constraints. When applying model predictive control (MPC) in these settings, respecting timing constraints is achieved by limiting the number of…

Optimization and Control · Mathematics 2024-12-16 Anusha Srikanthan , Aren Karapetyan , Vijay Kumar , Nikolai Matni

In this paper, the elliptic PDE-constrained optimization problem with box constraints on the control is studied. To numerically solve the problem, we apply the 'optimize-discretize-optimize' strategy. Specifically, the alternating direction…

Optimization and Control · Mathematics 2019-08-14 Xiaotong Chen , Xiaoliang Song , Zixuan Chen , Bo Yu

In this paper, we propose a missing spectrum data recovery technique for cognitive radio (CR) networks using Nonnegative Matrix Factorization (NMF). It is shown that the spectrum measurements collected from secondary users (SUs) can be…

Other Computer Science · Computer Science 2017-03-10 Alireza Zaeemzadeh , Mohsen Joneidi , Behzad Shahrasbi , Nazanin Rahnavard

Joint detection and localization of users and scatterers in multipath-rich channels on multiple bands is critical for integrated sensing and communication (ISAC) in 6G. Existing multiband sensing methods are limited by classical beamforming…

Signal Processing · Electrical Eng. & Systems 2026-02-24 Dexin Wang , Isha Jariwala , Ahmad Bazzi , Sundeep Rangan , Theodore S. Rappaport , Marwa Chafii

In this paper, we design constant modulus probing waveforms with good correlation properties for collocated multi-input multi-output (MIMO) radar systems. The main content is as follows: first, we formulate the design problem as a fourth…

Signal Processing · Electrical Eng. & Systems 2019-09-04 Jiangtao Wang , Yongchao Wang

Alternating Direction Method of Multipliers (ADMM) has recently been proposed as a potential alternative optimizer to the Stochastic Gradient Descent(SGD) for deep learning problems. This is because ADMM can solve gradient vanishing and…

Optimization and Control · Mathematics 2021-06-24 Junxiang Wang , Zheng Chai , Yue Cheng , Liang Zhao

A novel formulation of the hyperspectral broadband phase retrieval is developed for the scenario where both object and modulation phase masks are spectrally varying. The proposed algorithm is based on a complex domain version of the…

Image and Video Processing · Electrical Eng. & Systems 2021-05-18 Vladimir Katkovnik , Igor Shevkunov , Karen Egiazarian

The phasor measurement unit (PMU) placement problem is revisited by taking into account a stronger characterization of the electrical connectedness between various buses in the grid. To facilitate this study, the placement problem is…

Systems and Control · Computer Science 2015-05-19 K. G. Nagananda , Shalinee Kishore , Rick S. Blum

In this paper we study the question of how to reconstruct the state of a power system using Phasor Measurement Units (PMUs). In our previous research we proved that this question has an affirmative answer imposing some rather strict…

Systems and Control · Electrical Eng. & Systems 2024-10-08 Alexey Bobtsov , Romeo Ortega , Nicolai Lorenz-Meyer , Johannes Schiffer

In this paper, we present a distributed algorithm for the reconstruction of large-scale nonlinear networks. In particular, we focus on the identification from time-series data of the nonlinear functional forms and associated parameters of…

Optimization and Control · Mathematics 2014-03-31 Wei Pan , Aivar Sootla , Guy-Bart Stan

It is challenging to recover the large-scale internet traffic data purely from the link measurements. With the rapid growth of the problem scale, it will be extremely difficult to sustain the recovery accuracy and the computational cost. In…

Optimization and Control · Mathematics 2021-02-08 Zhenyu Ming , Liping Zhang , Hao Wu , Yanwei Xu , Mayank Bakshi , Bo Bai , Gong Zhang

We present the Alternating Direction Method of Multipliers for Performance Boosting (ADMM-PB), an approach to design performance boosting controllers for stable or pre-stabilized nonlinear systems, while explicitly seeking input and state…

Systems and Control · Electrical Eng. & Systems 2025-11-05 Gianluca Giacomelli , Danilo Saccani , Siep Weiland , Giancarlo Ferrari-Trecate , Valentina Breschi

As a well-known optimization framework, the Alternating Direction Method of Multipliers (ADMM) has achieved tremendous success in many classification and regression applications. Recently, it has attracted the attention of deep learning…

Machine Learning · Computer Science 2021-12-23 Junxiang Wang , Hongyi Li , Liang Zhao

Nonconvex and structured optimization problems arise in many engineering applications that demand scalable and distributed solution methods. The study of the convergence properties of these methods is in general difficult due to the…

Optimization and Control · Mathematics 2015-05-04 Sindri Magnússon , Pradeep Chathuranga Weeraddana , Michael G. Rabbat , Carlo Fischione

The alternating direction method of multipliers (ADMM) is a most widely used optimization scheme for solving linearly constrained separable convex optimization problems. The convergence of the ADMM can be guaranteed when the dual step…

Optimization and Control · Mathematics 2020-06-23 Guoyong Gu , Junfeng Yang

The Alternating Direction Method of Multipliers (ADMM) has gained significant attention across a broad spectrum of machine learning applications. Incorporating the over-relaxation technique shows potential for enhancing the convergence rate…

Optimization and Control · Mathematics 2024-01-02 Jintao Song , Wenqi Lu , Yunwen Lei , Yuchao Tang , Zhenkuan Pan , Jinming Duan

Weight pruning methods for deep neural networks (DNNs) have been investigated recently, but prior work in this area is mainly heuristic, iterative pruning, thereby lacking guarantees on the weight reduction ratio and convergence time. To…

Neural and Evolutionary Computing · Computer Science 2018-10-23 Tianyun Zhang , Shaokai Ye , Kaiqi Zhang , Jian Tang , Wujie Wen , Makan Fardad , Yanzhi Wang

Modern surveys with large sample sizes and growing mixed-type questionnaires require robust and scalable analysis methods. In this work, we consider recovering a mixed dataframe matrix, obtained by complex survey sampling, with entries…

Methodology · Statistics 2024-02-07 Xiaojun Mao , Hengfang Wang , Zhonglei Wang , Shu Yang
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