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We consider a cost sharing problem on a weighted undirected graph, where all the nodes want to connect to a special node called source, and they need to share the total cost (weights) of the used edges. Each node except for the source has a…

Computer Science and Game Theory · Computer Science 2023-03-07 Tianyi Zhang , Junyu Zhang , Sizhe Gu , Dengji Zhao

We consider a cost sharing problem to connect all nodes in a weighted undirected graph, where the weight of each edge represents the cost to use the edge for the connectivity and the cost has to be shared among all connected nodes. There is…

Computer Science and Game Theory · Computer Science 2023-11-16 Tianyi Zhang , Dengji Zhao , Junyu Zhang , Sizhe Gu

In a cost sharing problem on a weighted undirected graph, all other nodes want to connect to the source node for some service. Each edge has a cost denoted by a weight and all the connected nodes should share the total cost for the…

Computer Science and Game Theory · Computer Science 2023-11-16 Tianyi Zhang , Dengji Zhao , Junyu Zhang , Sizhe Gu

This work addresses the NP-Hard problem of acyclic directed acyclic graph (DAG) partitioning problem. The acyclic partitioning problem is defined as partitioning the vertex set of a given directed acyclic graph into disjoint and…

Data Structures and Algorithms · Computer Science 2022-07-28 M. Yusuf Özkaya , Ümit V. Çatalyürek

We introduce a structure for the directed acyclic graph (DAG) and a mechanism design based on that structure so that peers can reach consensus at large scale based on proof of work (PoW). We also design a mempool transaction assignment…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-10 Jiahao He , Guangju Wang , Guangyuan Zhang , Jiheng Zhang

A communication network modelled by a directed acyclic graph (DAG) is considered, over which a source wishes to send a specified number of bits to a destination node. Each node of the DAG is powered by a separate renewable energy source,…

Information Theory · Computer Science 2019-08-28 Rahul Vaze , Sibi Raj B Pillai

Many real-world scientific workflows can be represented by a Directed Acyclic Graph (DAG), where each node represents a task and a directed edge signifies a dependency between two tasks. Due to the increasing computational resource…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-04 Atherve Tekawade , Suman Banerjee

Comparing directed acyclic graphs is essential in various fields such as healthcare, social media, finance, biology, and marketing. DAGs often result from contagion processes over networks, including information spreading, retweet activity,…

Human-Computer Interaction · Computer Science 2024-08-31 Kathrin Guckes , Marc Schäpers , Margit Pohl , Andreas Kerren , Tatiana von Landesberger

This paper analyzes the problem of assigning weights to edges incrementally in a dynamic complete bipartite graph consisting of producer and consumer nodes. The objective is to minimize the overall cost while satisfying certain constraints.…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-03 Ankur Sahai

We study the problem of reducing test-time acquisition costs in classification systems. Our goal is to learn decision rules that adaptively select sensors for each example as necessary to make a confident prediction. We model our system as…

Machine Learning · Statistics 2015-10-27 Joseph Wang , Kirill Trapeznikov , Venkatesh Saligrama

Directed acyclic graphs (DAGs) are commonly used to model causal relationships among random variables. In general, learning the DAG structure is both computationally and statistically challenging. Moreover, without additional information,…

Machine Learning · Statistics 2024-03-26 Ali Shojaie , Wenyu Chen

Many scientific workflows can be represented by a Directed Acyclic Graph (DAG) where each node represents a task, and there will be a directed edge between two tasks if and only if there is a dependency relationship between the two i.e. the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-20 Atharva Tekawade , Suman Banerjee

Estimating the structure of directed acyclic graphs (DAGs) from observational data remains a significant challenge in machine learning. Most research in this area concentrates on learning a single DAG for the entire population. This paper…

Machine Learning · Statistics 2024-02-21 Ryan Thompson , Edwin V. Bonilla , Robert Kohn

Learning a faithful directed acyclic graph (DAG) from samples of a joint distribution is a challenging combinatorial problem, owing to the intractable search space superexponential in the number of graph nodes. A recent breakthrough…

Machine Learning · Computer Science 2019-04-24 Yue Yu , Jie Chen , Tian Gao , Mo Yu

Directed acyclic graphs (DAGs) are directed graphs in which there is no path from a vertex to itself. DAGs are an omnipresent data structure in computer science and the problem of counting the DAGs of given number of vertices and to sample…

Discrete Mathematics · Computer Science 2025-10-03 Martin Pépin , Alfredo Viola

Distributed Ledger Technologies provide a mechanism to achieve ordering among transactions that are scattered on multiple participants with no prerequisite trust relations. This mechanism is essentially based on the idea of new transactions…

Probability · Mathematics 2021-10-01 Christian Mönch , Amr Rizk

We study a graph partition problem where we are given a directed acyclic graph (DAG) whose vertices and arcs can be respectively regarded as tasks and dependencies among tasks. The objective of the problem is to minimize the total energy…

Data Structures and Algorithms · Computer Science 2024-09-17 Wei Liu , Jian-Jia Chen , Yongjie Yang

Recently directed acyclic graph (DAG) structure learning is formulated as a constrained continuous optimization problem with continuous acyclicity constraints and was solved iteratively through subproblem optimization. To further improve…

Machine Learning · Computer Science 2021-06-15 Yue Yu , Tian Gao , Naiyu Yin , Qiang Ji

This work introduces a novel algorithm for finding the connected components of a graph where the vertices and edges are grouped into sets defining a Set--Based Graph. The algorithm, under certain restrictions on those sets, has the…

Data Structures and Algorithms · Computer Science 2020-11-30 Ernesto Kofman , Denise Marzorati , Joaquín Fernández

Access control is a fundamental component of the design of distributed ledgers, influencing many aspects of their design, such as fairness, efficiency, traditional notions of network security, and adversarial attacks such as…

Cryptography and Security · Computer Science 2021-07-22 Lianna Zhao , Luigi Vigneri , Andrew Cullen , William Sanders , Pietro Ferraro , Robert Shorten
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