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We analyze a sequential quadratic programming algorithm for solving a class of abstract optimization problems. Assuming that the initial point is in an $L^2$ neighborhood of a local solution that satisfies no-gap second-order sufficient…

最优化与控制 · 数学 2026-05-19 Eduardo Casas , Mariano Mateos

With the prevalence of Large Learning Models (LLM), Split Federated Learning (SFL), which divides a learning model into server-side and client-side models, has emerged as an appealing technology to deal with the heavy computational burden…

分布式、并行与集群计算 · 计算机科学 2025-01-03 Yipeng Liang , Qimei Chen , Guangxu Zhu , Muhammad Kaleem Awan , Hao Jiang

The Quantum Approximate Optimization Algorithm (QAOA) has enjoyed increasing attention in noisy intermediate-scale quantum computing due to its application to combinatorial optimization problems. Because combinatorial optimization problems…

最优化与控制 · 数学 2024-01-18 Yunsoo Ha , Sara Shashaani , Matt Menickelly

This paper is concerned with the linear quadratic (LQ) optimal control of continuous-time system with terminal state constraint. In particular, multiple agents exist in the system which can only access partial information of the matrix…

最优化与控制 · 数学 2025-10-21 Wenjing Yang , Zhaorong Zhang , Juanjuan Xu

This thesis explores a particular class of distributed optimization methods for various separable resource allocation problems, which are of high interest in a wide array of multi-agent settings. A distinctly motivating application for this…

系统与控制 · 电气工程与系统科学 2021-03-26 Tor Anderson

Graph partitioning is one of an important set of well-known compute-intense (NP-hard) graph problems that devolve to discrete constrained optimization. We sampled solutions to the problem via two different quantum-ready methods to…

Combinatorial optimization is among the main applications envisioned for near-term and fault-tolerant quantum computers. In this work, we consider a well-studied quantum algorithm for combinatorial optimization: the Quantum Approximate…

量子物理 · 物理学 2020-11-12 Sami Boulebnane

In this paper, we consider a prototypical convex optimization problem with multi-block variables and separable structures. By adding the Logarithmic Quadratic Proximal (LQP) regularizer with suitable proximal parameter to each of the first…

数值分析 · 数学 2021-04-01 Jianchao Bai , Yuxue Ma , Hao Sun , Miao Zhang

Learning to Optimize (L2O) approaches, including algorithm unrolling, plug-and-play methods, and hyperparameter learning, have garnered significant attention and have been successfully applied to the Alternating Direction Method of…

最优化与控制 · 数学 2024-09-27 Ling Liang , Cameron Austin , Haizhao Yang

Stochastic convex optimization problems with nonlinear functional constraints are ubiquitous in signal processing applications including constrained least-squares, set-membership adaptive filtering, and trajectory optimization under…

最优化与控制 · 数学 2025-12-16 Panchajanya Sanyal , Srujan Teja Thomdapu , Ketan Rajawat

Optimal Power Flow (OPF) can be modeled as a non-convex Quadratically Constrained Quadratic Program (QCQP). Our purpose is to solve OPF to global optimality. To this end, we specialize the Mixed-Integer Quadratic Convex Reformulation method…

最优化与控制 · 数学 2019-03-14 Hadrien Godard , Sourour Elloumi , Amélie Lambert , Jean Maeght , Manuel Ruiz

In this paper we develop random block coordinate gradient descent methods for minimizing large scale linearly constrained separable convex problems over networks. Since we have coupled constraints in the problem, we devise an algorithm that…

最优化与控制 · 数学 2015-12-14 I. Necoara , Yu. Nesterov , F. Glineur

Multi-objective optimization (MOO) has received growing attention in applications that require learning under multiple criteria. However, the existing MOO formulations do not explicitly account for distributional shifts in the data. We…

机器学习 · 计算机科学 2026-05-08 Yufeng Yang , Fangning Zhuo , Ziyi Chen , Heng Huang , Yi Zhou

Quantum Approximate Optimization Algorithm (QAOA) can be used to solve quadratic unconstrained binary optimization (QUBO) problems. However, the size of the solvable problem is limited by the number of qubits. To leverage noisy…

量子物理 · 物理学 2025-06-10 Wending Zhao , Gaoxiang Tang

We consider model-based derivative-free optimization (DFO) for large-scale problems, based on iterative minimization in random subspaces. We provide the first worst-case complexity bound for such methods for convergence to approximate…

最优化与控制 · 数学 2024-12-20 Coralia Cartis , Lindon Roberts

This paper proposes a novel global optimization algorithm, Particle Filter-Based Optimization (PFO), designed for a class of stochastic optimization problems in which the objective function lacks an analytical form and is subject to noisy…

最优化与控制 · 数学 2025-06-23 Mostafa Eslami , Maryam Babazadeh

Communication efficiency is a major bottleneck in the applications of distributed networks. To address the problem, the problem of quantized distributed optimization has attracted a lot of attention. However, most of the existing quantized…

最优化与控制 · 数学 2022-11-01 Yongyang Xiong , Ligang Wu , Keyou You , Lihua Xie

Combinatorial optimization problems are one of the target applications of current quantum technology, mainly because of their industrial relevance, the difficulty of solving large instances of them classically, and their equivalence to…

量子物理 · 物理学 2024-06-10 J. A. Montanez-Barrera , Pim van den Heuvel , Dennis Willsch , Kristel Michielsen

This paper investigates the general problem of resource allocation for mitigating channel fading effects in Free Space Optical (FSO) communications. The resource allocation problem is modeled as the constrained stochastic optimization…

信号处理 · 电气工程与系统科学 2021-04-20 Zhan Gao , Mark Eisen , Alejandro Ribeiro

Federated learning (FL), as a distributed collaborative machine learning (ML) framework under privacy-preserving constraints, has garnered increasing research attention in cross-organizational data collaboration scenarios. This paper…

机器学习 · 计算机科学 2025-10-31 Wenyou Guo , Ting Qu , Chunrong Pan , George Q. Huang
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