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math.OC2026

Decentralized Linearized Consensus ADMM with Efficient Quantized Communication

Boyu Han, Xu Du, Karl H. Johansson +1

Distributed optimization offers significant advantages over centralized methods in terms of scalability and robustness when solving large-scale problems. In this paper, we propose…

math.OC2026

CADMM-Prox: A Bi-level Consensus ADMM for Non-smooth Non-convex Distributed Consensus Optimization

Xu Du, Shuting Wu, Karl H. Johansson +1

Non-smooth and non-convex optimization problems are pervasive in machine learning, control, and signal processing, due to the need for sparse solutions and the inherently non-conve…

math.OC2026

Lightweight Real-Time ALADIN for Distributed Optimization

Yifei Wang, Xuhui Feng, Shimin Pan +3

This paper presents a real-time computational framework for multi-node distributed optimization by extending the Augmented Lagrangian Alternating Direction Inexact Newton (ALADIN)…

math.OC2026

Mix-CALADIN: A Distributed Algorithm for Consensus Mixed-Integer Optimization

Boyu Han, Xu Du, Karl H. Johansson +1

This paper addresses distributed consensus optimization problems with mixed-integer variables, with a specific focus on Boolean variables. We introduce a novel distributed algorith…

math.OC2026

Affine-coupled Distributed Optimization via Distributed Proximal Jacobian ADMM with Quantized Communication

Xu Du, Boyu Han, Ivano Notarnicola +2

This paper investigates distributed resource allocation optimization over directed graphs with limited communication bandwidth. We develop a novel distributed algorithm that integr…

math.OC2025

Decentralized Optimization via RC-ALADIN with Efficient Quantized Communication

Xu Du, Karl H. Johansson, Apostolos I. Rikos

In this paper, we investigate the problem of decentralized consensus optimization over directed graphs with limited communication bandwidth. We introduce a novel decentralized opti…