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In this work, we consider the asynchronous distributed optimization problem in which each node has its own convex cost function and can communicate directly only with its neighbors, as determined by a directed communication topology…

Optimization and Control · Mathematics 2021-04-27 Wei Jiang , Andreas Grammenos , Evangelia Kalyvianaki , Themistoklis Charalambous

Approximate message-passing (AMP) method is a simple and efficient framework for the linear inverse problems. In this letter, we propose a faster AMP to solve the \emph{$L_1$-Split-Analysis} for the 2D sparsity separation, which is referred…

Information Theory · Computer Science 2015-07-13 Jaewook Kang , Hyoyoung Jung , Kiseon Kim

Security-Constrained Optimal Power Flow (SCOPF) plays a crucial role in power grid stability but becomes increasingly complex as systems grow. This paper introduces PDL-SCOPF, a self-supervised end-to-end primal-dual learning framework for…

Machine Learning · Computer Science 2024-04-30 Seonho Park , Pascal Van Hentenryck

In this paper, we consider the problem of optimally coordinating the response of a group of distributed energy resources (DERs) in distribution systems by solving the so-called optimal power flow (OPF) problem. The OPF problem is concerned…

Systems and Control · Computer Science 2020-05-07 Madi Zholbaryssov , Alejandro D. Dominguez-Garcia

This is the second part of a two-part paper on data-based distributionally robust stochastic optimal power flow (OPF). The general problem formulation and methodology have been presented in Part I [1]. Here, we present extensive numerical…

Optimization and Control · Mathematics 2018-10-29 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler H. Summers

Alternating current optimal power flow (ACOPF) problems are nonconvex and nonlinear optimization problems. Utilities and independent service operators (ISO) require ACOPF to be solved in almost real time. Interior point methods (IPMs) are…

Optimization and Control · Mathematics 2021-09-07 Sayed Abdullah Sadat , Kibaek Kim

This paper considers the problem of releasing privacy-preserving load data of a decentralized operated power system. The paper focuses on data used to solve Optimal Power Flow (OPF) problems and proposes a distributed algorithm that…

Optimization and Control · Mathematics 2020-04-20 Terrence W. K. Mak , Ferdinando Fioretto , Pascal Van Hentenryck

The massive integration of distributed energy resources changes the operational demands of the electric power distribution system, motivating optimization-based approaches. The added computational complexities of the resulting optimal power…

Optimization and Control · Mathematics 2023-07-04 Yunqi Luo , Rabayet Sadnan , Bala Krishnamoorthy , Anamika Dubey

We propose and analyze an approximate message passing (AMP) algorithm for the matrix tensor product model, which is a generalization of the standard spiked matrix models that allows for multiple types of pairwise observations over a…

Machine Learning · Statistics 2023-06-28 Riccardo Rossetti , Galen Reeves

The security-constrained optimal power flow (SCOPF) is fundamental in power systems and connects the automatic primary response (APR) of synchronized generators with the short-term schedule. Every day, the SCOPF problem is repeatedly solved…

Optimization and Control · Mathematics 2020-07-15 Alexandre Velloso , Pascal Van Hentenryck

Throughput is a main performance objective in communication networks. This paper considers a fundamental maximum throughput routing problem -- the all-or-nothing multicommodity flow (ANF) problem -- in arbitrary directed graphs and in the…

Data Structures and Algorithms · Computer Science 2022-07-27 Anya Chaturvedi , Chandra Chekuri , Mengxue Liu , Andréa W. Richa , Mattias Rost , Stefan Schmid , Jamison Weber

Efficiently solving large-scale optimal power flow (OPF) problems is challenging due to the high dimensionality and interconnectivity of modern power systems. Decomposition methods offer a promising solution via partitioning large problems…

Optimization and Control · Mathematics 2025-12-30 Mohannad Alkhraijah , Devon Sigler , Daniel K. Molzahn

This paper presents a stochastic, model predictive control (MPC) algorithm that leverages short-term probabilistic forecasts for dispatching and rebalancing Autonomous Mobility-on-Demand systems (AMoD, i.e. fleets of self-driving vehicles).…

Systems and Control · Computer Science 2018-05-07 Matthew Tsao , Ramon Iglesias , Marco Pavone

Motivated by the recent interest in approximate message passing (AMP) for matrix-valued linear observations with superposition of \emph{multiple statistically asymmetric signal sources}, we introduce a multi-source AMP framework in which…

Information Theory · Computer Science 2025-01-22 Burak Çakmak , Giuseppe Caire

The concept of dispatchable region is useful in quantifying how much renewable generation power the system can handle. In this paper, we aim to provide an improved dispatchable region approximation method in distribution networks. First,…

Optimization and Control · Mathematics 2022-05-03 Yue Chen , Changhong Zhao

We propose regularized approximate message passing (RAMP), a low-complexity algorithm for discrete signal detection in overloaded multiple-input multiple-output (MIMO) systems where the number of transmit antennas exceeds the number of…

Signal Processing · Electrical Eng. & Systems 2026-04-07 Shreesal Shrestha , Getuar Rexhepi , Kuranage Roche Rayan Ranasinghe , Hyeon Seok Rou , Giuseppe Thadeu Freitas de Abreu

Emerging workloads, such as graph processing and machine learning are approximate because of the scale of data involved and the stochastic nature of the underlying algorithms. These algorithms are often distributed over multiple machines…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-28 Asim Kadav , Erik Kruus

Approximate message passing (AMP) algorithms are iterative methods for signal recovery in noisy linear systems. In some scenarios, AMP algorithms need to operate within a distributed network. To address this challenge, the distributed…

Signal Processing · Electrical Eng. & Systems 2024-07-26 Jun Lu , Lei Liu , Shunqi Huang , Ning Wei , Xiaoming Chen

We propose a novel multipath multi-hop adaptive and causal random linear network coding (AC-RLNC) algorithm with forward error correction. This algorithm generalizes our joint optimization coding solution for point-to-point communication…

Information Theory · Computer Science 2020-10-27 Alejandro Cohen , Guillaume Thiran , Vered Bar Bracha , Muriel Médard

We study the problem of regression in a generalized linear model (GLM) with multiple signals and latent variables. This model, which we call a matrix GLM, covers many widely studied problems in statistical learning, including mixed linear…

Machine Learning · Statistics 2024-04-10 Nelvin Tan , Ramji Venkataramanan