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In the area of large-scale training of graph embeddings, effective training frameworks and partitioning methods are critical for handling large networks. However, they face two major challenges: 1) existing synchronized distributed…

Machine Learning · Computer Science 2024-09-17 Yuhe Bai , Camelia Constantin , Hubert Naacke

Can we use machine learning to compress graph data? The absence of ordering in graphs poses a significant challenge to conventional compression algorithms, limiting their attainable gains as well as their ability to discover relevant…

Machine Learning · Computer Science 2023-09-26 Giorgos Bouritsas , Andreas Loukas , Nikolaos Karalias , Michael M. Bronstein

We address the problem of optimizing over functions defined on node subsets in a graph. The optimization of such functions is often a non-trivial task given their combinatorial, black-box and expensive-to-evaluate nature. Although various…

Machine Learning · Computer Science 2025-01-07 Huidong Liang , Xingchen Wan , Xiaowen Dong

Shape optimization involves the minimization of a cost function defined over a set of shapes, often governed by a partial differential equation (PDE). In the absence of closed-form solutions, one relies on numerical methods to approximate…

Numerical Analysis · Mathematics 2025-02-21 Eloi Martinet , Leon Bungert

Whole brain parcellation requires inferring hundreds of segmentation labels in large image volumes and thus presents significant practical challenges for deep learning approaches. We introduce label merge-and-split, a method that first…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Aaron Kujawa , Reuben Dorent , Sebastien Ourselin , Tom Vercauteren

The Minimum Cost Multicut Problem (MP) is a popular way for obtaining a graph decomposition by optimizing binary edge labels over edge costs. While the formulation of a MP from independently estimated costs per edge is highly flexible and…

Computer Vision and Pattern Recognition · Computer Science 2021-12-13 Steffen Jung , Sebastian Ziegler , Amirhossein Kardoost , Margret Keuper

Despite the impressive clustering performance and efficiency in characterizing both the relationship between data and cluster structure, existing graph-based multi-view clustering methods still have the following drawbacks. They suffer from…

Machine Learning · Computer Science 2023-05-15 Quanxue Gao , Wei Xia , Xinbo Gao , Xiangdong Zhang , Qin Li , Dacheng Tao

In this paper, we consider unsupervised partitioning problems, such as clustering, image segmentation, video segmentation and other change-point detection problems. We focus on partitioning problems based explicitly or implicitly on the…

Machine Learning · Computer Science 2013-03-07 Rémi Lajugie , Sylvain Arlot , Francis Bach

Graph coarsening is a widely used dimensionality reduction technique for approaching large-scale graph machine learning problems. Given a large graph, graph coarsening aims to learn a smaller-tractable graph while preserving the properties…

Machine Learning · Statistics 2022-10-04 Manoj Kumar , Anurag Sharma , Sandeep Kumar

We present a novel method for graph partitioning, based on reinforcement learning and graph convolutional neural networks. Our approach is to recursively partition coarser representations of a given graph. The neural network is implemented…

Machine Learning · Computer Science 2021-06-30 Alice Gatti , Zhixiong Hu , Tess Smidt , Esmond G. Ng , Pieter Ghysels

This paper proposes an Allen-Cahn Chan-Vese model to settle the multi-phase image segmentation. We first integrate the Allen--Cahn term and the Chan--Vese fitting energy term to establish an energy functional, whose minimum locates the…

Numerical Analysis · Mathematics 2022-03-29 Chaoyu Liu , Zhonghua Qiao , Qian Zhang

In semi-supervised graph-based binary classifier learning, a subset of known labels $\hat{x}_i$ are used to infer unknown labels, assuming that the label signal $\mathbf{x}$ is smooth with respect to a similarity graph specified by a…

Machine Learning · Computer Science 2022-08-22 Cheng Yang , Gene Cheung , Guangtao Zhai

Abstract notions of convexity over the vertices of a graph, and corresponding notions of halfspaces, have recently gained attention from the machine learning community. In this work we study monophonic halfspaces, a notion of graph…

Machine Learning · Computer Science 2025-07-01 Marco Bressan , Victor Chepoi , Emmanuel Esposito , Maximilian Thiessen

We present TeraPart, a memory-efficient multilevel graph partitioning method that is designed to scale to extremely large graphs. In balanced graph partitioning, the goal is to divide the vertices into $k$ blocks with balanced size while…

Data Structures and Algorithms · Computer Science 2024-10-28 Daniel Salwasser , Daniel Seemaier , Lars Gottesbüren , Peter Sanders

Multi-Chip-Modules (MCMs) reduce the design and fabrication cost of machine learning (ML) accelerators while delivering performance and energy efficiency on par with a monolithic large chip. However, ML compilers targeting MCMs need to…

Graph partitioning schedules parallel calculations like sparse matrix-vector multiply (SpMV). We consider contiguous partitions, where the $m$ rows (or columns) of a sparse matrix with $N$ nonzeros are split into $K$ parts without…

Data Structures and Algorithms · Computer Science 2024-10-30 Willow Ahrens

The future of main memory appears to lie in the direction of new technologies that provide strong capacity-to-performance ratios, but have write operations that are much more expensive than reads in terms of latency, bandwidth, and energy.…

Data Structures and Algorithms · Computer Science 2017-10-10 Naama Ben-David , Guy E. Blelloch , Jeremy T. Fineman , Phillip B. Gibbons , Yan Gu , Charles McGuffey , Julian Shun

Many functional and structural neuroimaging studies call for accurate morphometric segmentation of different brain structures starting from image intensity values of MRI scans. Current automatic (multi-) atlas-based segmentation strategies…

Image and Video Processing · Electrical Eng. & Systems 2019-09-27 Dennis Bontempi , Sergio Benini , Alberto Signoroni , Michele Svanera , Lars Muckli

Graph Convolutional Networks (GCNs) have emerged as the state-of-the-art method for graph-based learning tasks. However, training GCNs at scale is still challenging, hindering both the exploration of more sophisticated GCN architectures and…

Machine Learning · Computer Science 2022-03-29 Cheng Wan , Youjie Li , Ang Li , Nam Sung Kim , Yingyan Lin

A fundamental question that shrouds the emergence of massively parallel computing (MPC) platforms is how can the additional power of the MPC paradigm be leveraged to achieve faster algorithms compared to classical parallel models such as…

Data Structures and Algorithms · Computer Science 2018-05-09 Sepehr Assadi , Xiaorui Sun , Omri Weinstein
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