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A $t$-ruling set of a graph $G = (V, E)$ is a vertex-subset $S \subseteq V$ that is independent and satisfies the property that every vertex $v \in V$ is at a distance of at most $t$ from some vertex in $S$. A \textit{maximal independent…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-07-16 Kishore Kothapalli , Sriram Pemmaraju

We study distributed (strongly convex) optimization problems over a network of agents, with no centralized nodes. The loss functions of the agents are assumed to be \textit{similar}, due to statistical data similarity or otherwise. In order…

Optimization and Control · Mathematics 2022-04-12 Ye Tian , Gesualdo Scutari , Tianyu Cao , Alexander Gasnikov

In this work, we propose a new local optimization method to solve a class of nonconvex semidefinite programming (SDP) problems. The basic idea is to approximate the feasible set of the nonconvex SDP problem by inner positive semidefinite…

Optimization and Control · Mathematics 2012-02-27 Quoc Tran Dinh , Wim Michiels , Moritz Diehl

We study local computation algorithms (LCA) for maximum matching. An LCA does not return its output entirely, but reveals parts of it upon query. For matchings, each query is a vertex $v$; the LCA should return whether $v$ is matched -- and…

Data Structures and Algorithms · Computer Science 2023-11-17 Soheil Behnezhad , Mohammad Roghani , Aviad Rubinstein

We consider how local and global decision policies interact in stopping time problems such as quickest time change detection. Individual agents make myopic local decisions via social learning, that is, each agent records a private…

Computer Science and Game Theory · Computer Science 2012-03-05 Vikram Krishnamurthy

Computing a maximum independent set (MaxIS) is a fundamental NP-hard problem in graph theory, which has important applications in a wide spectrum of fields. Since graphs in many applications are changing frequently over time, the problem of…

Data Structures and Algorithms · Computer Science 2022-04-19 Xiangyu Gao , Jianzhong Li , Dongjing Miao

We study asynchronous distributed decision-making for scalable multi-agent bandit submodular maximization. We are motivated by distributed information-gathering tasks in unknown environments and under heterogeneous inter-agent communication…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Pranjal Sharma , Zirui Xu , Vasileios Tzoumas

The worst-case robust adaptive beamforming problem for general-rank signal model is considered. Its formulation is to maximize the worst-case signal-to-interference-plus-noise ratio (SINR), incorporating a positive semidefinite constraint…

Signal Processing · Electrical Eng. & Systems 2018-05-15 Yongwei Huang , Sergiy A. Vorobyov

This paper presents two different efficiency-enhancement techniques for probabilistic model building genetic algorithms. The first technique proposes the use of a mutation operator which performs local search in the sub-solution…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Kumara Sastry , David E. Goldberg , Martin Pelikan

The goal of this paper is to understand the complexity of symmetry breaking problems, specifically maximal independent set (MIS) and the closely related $\beta$-ruling set problem, in two computational models suited for large-scale graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-06 Christian Konrad , Sriram V. Pemmaraju , Talal Riaz , Peter Robinson

While obtaining optimal algorithms for the most important problems in the LOCAL model has been one of the central goals in the area of distributed algorithms since its infancy, tight complexity bounds are elusive for many problems even when…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-06 Sebastian Brandt , Ananth Narayanan

Given a graph $G=(V,E)$, a $\beta$-ruling set is a subset $S\subseteq V$ that is i) independent, and ii) every node $v\in V$ has a node of $S$ within distance $\beta$. In this paper we present almost optimal distributed algorithms for…

Data Structures and Algorithms · Computer Science 2026-04-03 Malte Baumecker , Yannic Maus , Jara Uitto

In standard number-in-hand multi-party communication complexity, performance is measured as the total number of bits transmitted globally in the network. In this paper, we study a variation called local communication complexity in which…

Data Structures and Algorithms · Computer Science 2021-11-24 Bala Kalyanasundaram , Calvin Newport

Blind source separation (BSS) is a natural framework for studying how latent causes may be recovered from sensory mixtures, but deriving online and biologically plausible algorithms for structured (i.e., constrained to known domains) and…

Machine Learning · Computer Science 2026-05-22 Bariscan Bozkurt , Efe Ali Gorguner , Francesco Innocenti , Rafal Bogacz

A multi-hop relaying system is analyzed where data sent by a multi-antenna source is relayed by successive multi-antenna relays until it reaches a multi-antenna destination. Assuming correlated fading at each hop, each relay receives a…

Information Theory · Computer Science 2016-11-18 Nadia Fawaz , Keyvan Zarifi , Merouane Debbah , David Gesbert

Policy iteration is one of the classical frameworks of reinforcement learning, which requires a known initial stabilizing control. However, finding the initial stabilizing control depends on the known system model. To relax this requirement…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Dongdong Li , Jiuxiang Dong

We construct a quasi-polynomial time deterministic approximation algorithm for computing the volume of an independent set polytope with restrictions. Randomized polynomial time approximation algorithms for computing the volume of a convex…

Data Structures and Algorithms · Computer Science 2023-12-08 David Gamarnik , Devin Smedira

Online bilevel optimization (OBO) has emerged as a powerful framework for many machine learning problems. Prior works have developed several algorithms that minimize the standard bilevel local regret or the window-averaged bilevel local…

Machine Learning · Computer Science 2026-05-12 Tingkai Jia , Haiguang Wang , Cheng Chen

We study the $(\varepsilon, \delta)$-PAC policy identification problem in finite-horizon episodic Markov Decision Processes. Existing approaches provide finite-time guarantees for approximate settings ($\varepsilon>0$) but suffer from high…

Machine Learning · Computer Science 2026-05-06 Cyrille Kone , Kevin Jamieson

We study the classical problem of moment estimation of an underlying vector whose $n$ coordinates are implicitly defined through a series of updates in a data stream. We show that if the updates to the vector arrive in the random-order…

Data Structures and Algorithms · Computer Science 2022-07-08 David P. Woodruff , Samson Zhou