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This paper investigates the social optimality of linear quadratic mean field control systems with unmodeled dynamics. The objective of agents is to optimize the social cost, which is the sum of costs of all agents. By variational analysis…

最优化与控制 · 数学 2020-11-30 Bing-Chang Wang , Yong Liang

Submodular optimization is a special class of combinatorial optimization arising in several machine learning problems, but also in cooperative control of complex systems. In this paper, we consider agents in an asynchronous, unreliable and…

系统与控制 · 计算机科学 2018-12-17 Andrea Testa , Ivano Notarnicola , Giuseppe Notarstefano

We provide theoretical bounds on the worst case performance of the greedy algorithm in seeking to maximize a normalized, monotone, but not necessarily submodular objective function under a simple partition matroid constraint. We also…

系统与控制 · 电气工程与系统科学 2022-10-19 Benjamin Biggs , James McMahon , Philip Baldoni , Daniel J. Stilwell

The Column Subset Selection Problem provides a natural framework for unsupervised feature selection. Despite being a hard combinatorial optimization problem, there exist efficient algorithms that provide good approximations. The drawback of…

机器学习 · 计算机科学 2018-04-13 Bruno Ordozgoiti , Alberto Mozo , Jesús García López de Lacalle

We consider the maximization of a submodular objective function $f:2^U\to\mathbb{R}_{\geq 0}$, where the objective $f$ is not accessed as a value oracle but instead subject to noisy queries. We introduce a versatile adaptive sampling…

数据结构与算法 · 计算机科学 2024-04-11 Wenjing Chen , Shuo Xing , Victoria G. Crawford

In this work, we study the multi-agent decision problem where agents try to coordinate to optimize a given system-level objective. While solving for the global optimal is intractable in many cases, the greedy algorithm is a well-studied and…

多智能体系统 · 计算机科学 2022-12-01 Rohit Konda , David Grimsman , Jason Marden

We explore a model of non-Bayesian information aggregation in networks. Agents non-cooperatively choose among Friedkin-Johnsen type aggregation rules to maximize payoffs. The DeGroot rule is chosen in equilibrium if and only if there is…

综合经济学 · 经济学 2023-11-15 Abhijit Banerjee , Olivier Compte

How should one combine noisy information from diverse sources to make an inference about an objective ground truth? This frequently recurring, normative question lies at the core of statistics, machine learning, policy-making, and everyday…

多智能体系统 · 计算机科学 2020-01-29 Silviu Pitis , Michael R. Zhang

Evaluating the causal impacts of possible interventions is crucial for informing decision-making, especially towards improving access to opportunity. However, if causal effects are heterogeneous and predictable from covariates, personalized…

机器学习 · 计算机科学 2024-04-30 Ezinne Nwankwo , Michael I. Jordan , Angela Zhou

We consider the problem of identifying a subset of nodes in a network that will enable the fastest spread of information in a decentralized environment.In a model of communication based on a random walk on an undirected graph, the optimal…

离散数学 · 计算机科学 2014-08-20 Fern Y. Hunt

The submodular maximization problem is widely applicable in many engineering problems where objectives exhibit diminishing returns. While this problem is known to be NP-hard for certain subclasses of objective functions, there is a greedy…

分布式、并行与集群计算 · 计算机科学 2020-07-01 Haoyuan Sun , David Grimsman , Jason R Marden

Optimization of sensor selection has been studied to monitor complex and large-scale systems with data-driven linear reduced-order modeling. An algorithm for greedy sensor selection is presented under the assumption of correlated noise in…

信号处理 · 电气工程与系统科学 2022-07-14 Keigo Yamada , Yuji Saito , Taku Nonomura , Keisuke Asai

Given a set of human's decisions that are observed, inverse optimization has been developed and utilized to infer the underlying decision making problem. The majority of existing studies assumes that the decision making problem is with a…

机器学习 · 统计学 2018-08-03 Chaosheng Dong , Bo Zeng

We investigate the performance of m-th order consensus systems with stochastic external perturbations, where a subset of leader nodes incorporates absolute information into their control laws. The system performance is measured by its…

最优化与控制 · 数学 2019-06-13 Erika Mackin , Stacy Patterson

We study a model of opinion exchange in social networks where a state of the world is realized and every agent receives a zero-mean noisy signal of the realized state. It is known from [Golub and Jackson 2010] that under DeGroot dynamics…

概率论 · 数学 2024-01-30 Gideon Amir , Itai Arieli , Galit Ashkenazi-Golan , Ron Peretz

This paper develops an active sensing method to estimate the relative weight (or trust) agents place on their neighbors' information in a social network. The model used for the regression is based on the steady state equation in the linear…

社会与信息网络 · 计算机科学 2016-10-06 Hoi-To Wai , Anna Scaglione , Amir Leshem

The selection problem of an optimal set of sensors estimating the snapshot of high-dimensional data is considered. The objective functions based on various criteria of optimal design are adopted to the greedy method: D-optimality,…

信号处理 · 电气工程与系统科学 2021-04-09 Kumi Nakai , Keigo Yamada , Takayuki Nagata , Yuji Saito , Taku Nonomura

Sequential decision making under uncertainty is studied in a mixed observability domain. The goal is to maximize the amount of information obtained on a partially observable stochastic process under constraints imposed by a fully observable…

人工智能 · 计算机科学 2016-03-16 Mikko Lauri , Risto Ritala

With the rising importance of large-scale network control, the problem of actuator placement has received increasing attention. Our goal in this paper is to find a set of actuators minimizing the metric that measures the average energy…

最优化与控制 · 数学 2021-07-14 Baiwei Guo , Orcun Karaca , Tyler Summers , Maryam Kamgarpour

We consider a class of discrete optimization problems that aim to maximize a submodular objective function subject to a distributed partition matroid constraint. More precisely, we consider a networked scenario in which multiple agents…

最优化与控制 · 数学 2020-11-19 Alexander Robey , Arman Adibi , Brent Schlotfeldt , George J. Pappas , Hamed Hassani