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A tree $\sigma$-spanner of a positively real-weighted $n$-vertex and $m$-edge undirected graph $G$ is a spanning tree $T$ of $G$ which approximately preserves (i.e., up to a multiplicative stretch factor $\sigma$) distances in $G$. Tree…

数据结构与算法 · 计算机科学 2017-10-05 Davide Bilò , Feliciano Colella , Luciano Gualà , Stefano Leucci , Guido Proietti

The rigid, uniform allocation of computation in standard Transformer (TF) architectures can limit their efficiency and scalability, particularly for large-scale models and long sequences. Addressing this, we introduce Subjective Depth…

机器学习 · 计算机科学 2025-11-27 Frederico Wieser , Martin Benfeghoul , Haitham Bou Ammar , Jun Wang , Zafeirios Fountas

We study the problem of clock synchronization in a networked system with arbitrary starts for all nodes. We consider a synchronous network of $n$ nodes, where each node has a local clock that is an integer counter. Eventually, clocks must…

分布式、并行与集群计算 · 计算机科学 2024-11-18 Bernadette Charron-Bost , Louis Penet de Monterno

We study the fixation time of the identity of the leader, i.e., the most massive component, in the general setting of Aldous's multiplicative coalescent [4, 5], which in an asymptotic sense describes the evolution of the component sizes of…

概率论 · 数学 2020-05-28 Louigi Addario-Berry , Shankar Bhamidi , Sanchayan Sen

We consider the problem of stabilizing an unstable plant driven by bounded noise over a digital noisy communication link, a scenario at the heart of networked control. To stabilize such a plant, one needs real-time encoding and decoding…

信息论 · 计算机科学 2016-06-09 Anatoly Khina , Wael Halbawi , Babak Hassibi

We consider the ``minimum degree spanning tree'' problem. As input, we receive an undirected, connected graph $G=(V, E)$ with $n$ nodes and $m$ edges, and our task is to find a spanning tree $T$ of $G$ that minimizes $\max_{u \in V}…

数据结构与算法 · 计算机科学 2026-03-02 Sayan Bhattacharya , Ermiya Farokhnejad , Haoze Wang

Efficient gradient computation of the Jacobian determinant term is a core problem in many machine learning settings, and especially so in the normalizing flow framework. Most proposed flow models therefore either restrict to a function…

机器学习 · 计算机科学 2021-06-10 T. Anderson Keller , Jorn W. T. Peters , Priyank Jaini , Emiel Hoogeboom , Patrick Forré , Max Welling

Linear dynamical systems are canonical models for learning-based control of plants with uncertain dynamics. The setting consists of a stochastic differential equation that captures the state evolution of the plant understudy, while the true…

系统与控制 · 电气工程与系统科学 2022-01-03 Mohamad Kazem Shirani Faradonbeh , Mohamad Sadegh Shirani Faradonbeh

We consider the model of a token-based joint auto-scaling and load balancing strategy, proposed in a recent paper by Mukherjee, Dhara, Borst, and van Leeuwaarden (SIGMETRICS '17, arXiv:1703.08373), which offers an efficient scalable…

概率论 · 数学 2020-02-27 Debankur Mukherjee , Alexander Stolyar

The minimum degree spanning tree (MDST) problem requires the construction of a spanning tree $T$ for graph $G=(V,E)$ with $n$ vertices, such that the maximum degree $d$ of $T$ is the smallest among all spanning trees of $G$. In this paper,…

数据结构与算法 · 计算机科学 2018-06-12 Michael Dinitz , Magnús M. Halldórsson , Calvin Newport

Federated Learning (FL) has gained significant recent attention in machine learning for its enhanced privacy and data security, making it indispensable in fields such as healthcare, finance, and personalized services. This paper…

统计理论 · 数学 2024-11-26 Jingyang Li , T. Tony Cai , Dong Xia , Anru R. Zhang

Decision trees are machine learning models commonly used in various application scenarios. In the era of big data, traditional decision tree induction algorithms are not suitable for learning large-scale datasets due to their stringent data…

机器学习 · 计算机科学 2020-09-04 Zhe Lin , Sharad Sinha , Wei Zhang

In this paper we introduce a new, fast, degree-preserving rewiring algorithm for altering the assortativity of complex networks, which we call \textit{Fast total link (FTL) rewiring} algorithm. Commonly used existing algorithms require a…

物理与社会 · 物理学 2026-03-03 Shane Mannion , Padraig MacCarron , Akrati Saxena , Frank W. Takes

Let $G$ be an $n$-node and $m$-edge positively real-weighted undirected graph. For any given integer $f \ge 1$, we study the problem of designing a sparse \emph{f-edge-fault-tolerant} ($f$-EFT) $\sigma${\em -approximate single-source…

数据结构与算法 · 计算机科学 2016-01-22 Davide Bilò , Luciano Gualà , Stefano Leucci , Guido Proietti

As there is a growing interest in utilizing data across multiple resources to build better machine learning models, many vertically federated learning algorithms have been proposed to preserve the data privacy of the participating…

机器学习 · 计算机科学 2022-01-27 Houpu Yao , Jiazhou Wang , Peng Dai , Liefeng Bo , Yanqing Chen

In 1996, Bodlaender showed the celebrated result that an optimal tree decomposition of a graph of bounded treewidth can be found in linear time. The algorithm is based on an algorithm of Bodlaender and Kloks that computes an optimal tree…

数据结构与算法 · 计算机科学 2020-03-19 Ernst Althaus , Sarah Ziegler

We present time-efficient distributed algorithms for decomposing graphs with large edge or vertex connectivity into multiple spanning or dominating trees, respectively. As their primary applications, these decompositions allow us to achieve…

数据结构与算法 · 计算机科学 2013-11-22 Keren Censor-Hillel , Mohsen Ghaffari , Fabian Kuhn

Neural Architecture Search has attracted increasing attention in recent years. Among them, differential NAS approaches such as DARTS, have gained popularity for the search efficiency. However, they still suffer from three main issues, that…

机器学习 · 计算机科学 2023-01-18 Peng Ye , Tong He , Baopu Li , Tao Chen , Lei Bai , Wanli Ouyang

In their seminal PODC 1991 paper, Ostrovsky and Yung introduced the study of distributed computation in the presence of mobile adversaries which can dynamically appear throughout the network. Over the years, this setting has been studied…

数据结构与算法 · 计算机科学 2023-05-24 Orr Fischer , Merav Parter

In this paper, we consider the structural stabilizability problem of undirected networks. More specifically, we are tasked to infer the stabilizability of an undirected network from its underlying topology, where the undirected networks are…

最优化与控制 · 数学 2019-06-05 Jingqi Li , Ximing Chen , Sérgio Pequito , George J. Pappas , Victor M. Preciado