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Quantile regression (QR) can be used to describe the comprehensive relationship between a response and predictors. Prior domain knowledge and assumptions in application are usually formulated as constraints of parameters to improve the…

Computation · Statistics 2023-05-15 Yongxin Liu , Peng Zeng

In this paper, we analyze the problem of optimally allocating resources in a distributed and privacy-preserving manner. We propose a novel distributed optimal resource allocation algorithm with privacy-preserving guarantees, which operates…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Jakob Nylöf , Apostolos I. Rikos , Sebin Gracy , Karl H. Johansson

We study a new variant of consensus problems, termed `local average consensus', in networks of agents. We consider the task of using sensor networks to perform distributed measurement of a parameter which has both spatial (in this paper 1D)…

Systems and Control · Computer Science 2013-09-02 Kai Cai , Brian D. O. Anderson , Changbin Yu , Guoqiang Mao

Distributed consensus has been widely studied for sensor network applications. Whereas the asymptotic convergence rate has been extensively explored in prior work, other important and practical issues, including energy efficiency and link…

Networking and Internet Architecture · Computer Science 2013-04-10 Lei Chen , Jeff Frolik

This paper presents a novel accelerated distributed algorithm for unconstrained consensus optimization over static undirected networks. The proposed algorithm combines the benefits of acceleration from momentum, the robustness of the…

Optimization and Control · Mathematics 2024-05-15 Eduardo Sebastián , Mauro Franceschelli , Andrea Gasparri , Eduardo Montijano , Carlos Sagüés

In this paper, we present a distributed variant of adaptive stochastic gradient method for training deep neural networks in the parameter-server model. To reduce the communication cost among the workers and server, we incorporate two types…

Machine Learning · Computer Science 2021-06-16 Congliang Chen , Li Shen , Haozhi Huang , Wei Liu

We consider a global variable consensus ADMM algorithm for solving large-scale PDE parameter estimation problems asynchronously and in parallel. To this end, we partition the data and distribute the resulting subproblems among the available…

Numerical Analysis · Mathematics 2019-05-01 Samy Wu Fung , Lars Ruthotto

We present AUQ-ADMM, an adaptive uncertainty-weighted consensus ADMM method for solving large-scale convex optimization problems in a distributed manner. Our key contribution is a novel adaptive weighting scheme that empirically increases…

Optimization and Control · Mathematics 2022-04-20 Jianping Ye , Caleb Wan , Samy Wu Fung

Large scale, non-convex optimization problems arising in many complex networks such as the power system call for efficient and scalable distributed optimization algorithms. Existing distributed methods are usually iterative and require…

Optimization and Control · Mathematics 2017-10-26 Junyao Guo , Gabriela Hug , Ozan Tonguz

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

We propose two distributed iterative algorithms that can be used to solve, in finite time, the distributed optimization problem over quadratic local cost functions in large-scale networks. The first algorithm exhibits synchronous operation…

Random permutation is observed to be powerful for optimization algorithms: for multi-block ADMM (alternating direction method of multipliers), while the classical cyclic version divergence, the randomly permuted version converges in…

Optimization and Control · Mathematics 2019-01-03 Ruoyu Sun , Zhi-Quan Luo , Yinyu Ye

We consider the problem of communication-constrained collaborative personalized mean estimation under a privacy constraint in an environment of several agents continuously receiving data according to arbitrary unknown agent-specific…

Social and Information Networks · Computer Science 2025-11-10 Yauhen Yakimenka , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

In modern data science problems, techniques for extracting value from big data require performing large-scale optimization over heterogenous, irregularly structured data. Much of this data is best represented as multi-relational graphs,…

Artificial Intelligence · Computer Science 2014-06-10 Hui Miao , Xiangyang Liu , Bert Huang , Lise Getoor

We propose a new decentralized average consensus algorithm with compressed communication that scales linearly with the network size n. We prove that the proposed method converges to the average of the initial values held locally by the…

Optimization and Control · Mathematics 2021-09-16 Mohammad Taha Toghani , César A. Uribe

The high memory consumption and computational costs of Recurrent neural network language models (RNNLMs) limit their wider application on resource constrained devices. In recent years, neural network quantization techniques that are capable…

Machine Learning · Computer Science 2021-12-01 Junhao Xu , Xie Chen , Shoukang Hu , Jianwei Yu , Xunying Liu , Helen Meng

In this paper, we consider the problem of privacy preservation in the average consensus problem when communication among nodes is quantized. More specifically, we consider a setting where some nodes in the network are curious but not…

Systems and Control · Electrical Eng. & Systems 2021-02-16 Apostolos I. Rikos , Themistoklis Charalambous , Karl H. Johansson , Christoforos N. Hadjicostis

The Alternating Direction Method of Multipliers (ADMM) provides a natural way of solving inverse problems with multiple partial differential equations (PDE) forward models and nonsmooth regularization. ADMM allows splitting these…

Numerical Analysis · Mathematics 2021-04-29 Luke Lozenski , Umberto Villa

Alternating direction method of multiplier (ADMM) is a powerful method to solve decentralized convex optimization problems. In distributed settings, each node performs computation with its local data and the local results are exchanged…

Machine Learning · Computer Science 2019-10-11 Xueru Zhang , Mohammad Mahdi Khalili , Mingyan Liu

This paper introduces a novel continuous-time dynamic average consensus algorithm for networks whose interaction is described by a strongly connected and weight-balanced directed graph. The proposed distributed algorithm allows agents to…

Optimization and Control · Mathematics 2014-01-28 Solmaz S. Kia , Jorge Cortes , Sonia Martinez