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The multilevel Schwarz preconditioner is one of the most popular parallel preconditioners for enhancing convergence and improving parallel efficiency. However, its parallel implementation on arbitrary unstructured triangular/tetrahedral…

Numerical Analysis · Mathematics 2024-12-13 Chengdi Ma

An exact conservative remapping scheme requires overlaps between two meshes and a reconstruction scheme on the old cells (Lagrangian mesh). While the are intensive discussion on reconstruction schemes, there are relative sparse discussion…

Numerical Analysis · Mathematics 2016-05-31 Xihua Xu , Shengxin Zhu

In this work, we consider the challenges of developing a distributed solver for models based on nonlocal interactions. In nonlocal models, in contrast to the local model, such as the wave and heat partial differential equation, the material…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-09 Pranav Gadikar , Patrick Diehl , Prashant K. Jha

We propose a novel statistical model for sparse networks with overlapping community structure. The model is based on representing the graph as an exchangeable point process, and naturally generalizes existing probabilistic models with…

Methodology · Statistics 2025-02-06 Adrien Todeschini , Xenia Miscouridou , François Caron

Under the framework of spectral clustering, the key of subspace clustering is building a similarity graph which describes the neighborhood relations among data points. Some recent works build the graph using sparse, low-rank, and…

Machine Learning · Computer Science 2017-05-17 Xi Peng , Huajin Tang , Lei Zhang , Zhang Yi , Shijie Xiao

Graph processing at scale presents many challenges, including the irregular structure of graphs, the latency-bound nature of graph algorithms, and the overhead associated with distributed execution. While existing frameworks such as Spark…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-06 Karame Mohammadiporshokooh , Panagiotis Syskakis , Andrew Lumsdaine , Hartmut Kaiser

Many important applications across science, data analytics, and AI workloads depend on distributed matrix multiplication. Prior work has developed a large array of algorithms suitable for different problem sizes and partitionings including…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-13 Benjamin Brock , Renato Golin

We present a principled and efficient planning algorithm for collaborative multiagent dynamical systems. All computation, during both the planning and the execution phases, is distributed among the agents; each agent only needs to model and…

Artificial Intelligence · Computer Science 2013-01-07 Carlos E. Guestrin , Geoffrey Gordon

We introduce a data distribution scheme for $\mathcal{H}$-matrices and a distributed-memory algorithm for $\mathcal{H}$-matrix-vector multiplication. Our data distribution scheme avoids an expensive $\Omega(P^2)$ scheduling procedure used…

Numerical Analysis · Mathematics 2020-09-23 Yingzhou Li , Jack Poulson , Lexing Ying

Designing and implementing efficient, provably correct parallel machine learning (ML) algorithms is challenging. Existing high-level parallel abstractions like MapReduce are insufficiently expressive while low-level tools like MPI and…

Machine Learning · Computer Science 2010-06-28 Yucheng Low , Joseph Gonzalez , Aapo Kyrola , Danny Bickson , Carlos Guestrin , Joseph M. Hellerstein

Most research on novel techniques for 3D Medical Image Segmentation (MIS) is currently done using Deep Learning with GPU accelerators. The principal challenge of such technique is that a single input can easily cope computing resources, and…

Machine Learning · Computer Science 2021-11-01 Josep Lluis Berral , Oriol Aranda , Juan Luis Dominguez , Jordi Torres

Designing and implementing efficient, provably correct parallel machine learning (ML) algorithms is challenging. Existing high-level parallel abstractions like MapReduce are insufficiently expressive while low-level tools like MPI and…

Machine Learning · Computer Science 2014-08-12 Yucheng Low , Joseph E. Gonzalez , Aapo Kyrola , Danny Bickson , Carlos E. Guestrin , Joseph Hellerstein

This paper presents an efficient method to perform Structured Matrix Approximation by Separation and Hierarchy (SMASH), when the original dense matrix is associated with a kernel function. Given points in a domain, a tree structure is first…

Numerical Analysis · Mathematics 2017-05-17 Difeng Cai , Edmond Chow , Yousef Saad , Yuanzhe Xi

This paper proposes a parallel numerical algorithm to simulate the flow and the transport in a discrete fracture network taking into account the mass exchanges with the surrounding matrix. The discretization of the Darcy fluxes is based on…

Numerical Analysis · Mathematics 2016-11-18 Feng Xing , Roland Masson , Simon Lopez

This paper contributes to interpretable machine learning via visual knowledge discovery in parallel coordinates. The concepts of hypercubes and hyper-blocks are used as easily understandable by end-users in the visual form in parallel…

Machine Learning · Computer Science 2021-07-06 Boris Kovalerchuk , Dustin Hayes

Neural networks have become a cornerstone of machine learning. As the trend for these to get more and more complex continues, so does the underlying hardware and software infrastructure for training and deployment. In this survey we answer…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-07 Felix Brakel , Uraz Odyurt , Ana-Lucia Varbanescu

We discuss parallel algorithms to gather topological information about off-process mesh neighbor elements. This information is commonly called the ghost layer, whose creation is a fundamental, necessary task in executing most parallel,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-01 Johannes Holke , David Knapp , Carsten Burstedde

The sheer sizes of modern datasets are forcing data-structure designers to consider seriously both parallel construction and compactness. To achieve those goals we need to design a parallel algorithm with good scalability and with low…

Data Structures and Algorithms · Computer Science 2017-05-02 Leo Ferres , José Fuentes-Sepúlveda , Travis Gagie , Meng He , Gonzalo Navarro

Control parallelism and data parallelism is mostly reasoned and optimized as separate functions. Because of this, workloads that are irregular, fine-grain and dynamic such as dynamic graph processing become very hard to scale. An…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-08 Bibrak Qamar Chandio , Thomas Sterling , Prateek Srivastava

Nowadays, with the widespread of smartphones and other portable gadgets equipped with a variety of sensors, data is ubiquitous available and the focus of machine learning has shifted from being able to infer from small training samples to…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-07 Radu Cristian Ionescu
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