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When processing a batch of graphs in machine learning models such as Graph Neural Networks (GNN), it is common to combine several small graphs into one overall graph to accelerate processing and remove or reduce the overhead of padding.…

Machine Learning · Computer Science 2022-09-20 Mario Michael Krell , Manuel Lopez , Sreenidhi Anand , Hatem Helal , Andrew William Fitzgibbon

In this paper we propose and test the validity of simple and easy-to-implement algorithms within the immersed boundary framework geared towards large scale simulations involving thousands of deformable bodies in highly turbulent flows.…

Computational Physics · Physics 2018-09-26 Vamsi Spandan , Detlef Lohse , Marco D. de Tullio , Roberto Verzicco

In recent years, network embedding methods have garnered increasing attention because of their effectiveness in various information retrieval tasks. The goal is to learn low-dimensional representations of vertexes in an information network…

Social and Information Networks · Computer Science 2017-11-02 Chih-Ming Chen , Yi-Hsuan Yang , Yian Chen , Ming-Feng Tsai

Manifold learning (ML) aims to seek low-dimensional embedding from high-dimensional data. The problem is challenging on real-world datasets, especially with under-sampling data, and we find that previous methods perform poorly in this case.…

Machine Learning · Computer Science 2022-07-27 Zelin Zang , Siyuan Li , Di Wu , Ge Wang , Lei Shang , Baigui Sun , Hao Li , Stan Z. Li

Non-linear dimensionality reduction can be performed by \textit{manifold learning} approaches, such as Stochastic Neighbour Embedding (SNE), Locally Linear Embedding (LLE) and Isometric Feature Mapping (ISOMAP). These methods aim to produce…

Machine Learning · Statistics 2021-12-09 Theodoulos Rodosthenous , Vahid Shahrezaei , Marina Evangelou

Infomap clustering finds the community structures that minimize the expected description length of a random walk trajectory; algorithms for infomap clustering run fast in practice for large graphs. In this paper we leverage the…

Data Structures and Algorithms · Computer Science 2019-08-23 Seok-Hee Hong , Peter Eades , Marnijati Torkel , Ziyang Wang , David Chae , Sungpack Hong , Daniel Langerenken , Hassan Chafi

In recent years, we have witnessed a surge of interest in multi-view representation learning, which is concerned with the problem of learning representations of multi-view data. When facing multiple views that are highly related but sightly…

Machine Learning · Computer Science 2020-06-20 Xiangzhu Meng , Lin Feng , Huibing Wang

Planar drawings of graphs tend to be favored over non-planar drawings. Testing planarity and creating a planar layout of a planar graph can be done in linear time. However, creating readable drawings of nearly planar graphs remains a…

Computational Geometry · Computer Science 2023-04-18 Simon van Wageningen , Tamara Mchedlidze , Alexandru Telea

As a proposal-free approach, instance segmentation through pixel embedding learning and clustering is gaining more emphasis. Compared with bounding box refinement approaches, such as Mask R-CNN, it has potential advantages in handling…

Computer Vision and Pattern Recognition · Computer Science 2026-02-23 Yuli Wu , Long Chen , Dorit Merhof

The Small Set Expansion Hypothesis (SSEH) is a conjecture which roughly states that it is NP-hard to distinguish between a graph with a small subset of vertices whose edge expansion is almost zero and one in which all small subsets of…

Computational Complexity · Computer Science 2017-05-11 Pasin Manurangsi

This paper studies the problem of embedding very large information networks into low-dimensional vector spaces, which is useful in many tasks such as visualization, node classification, and link prediction. Most existing graph embedding…

Machine Learning · Computer Science 2015-03-13 Jian Tang , Meng Qu , Mingzhe Wang , Ming Zhang , Jun Yan , Qiaozhu Mei

Medical applications like Computed Tomography (CT) or Magnetic Resonance Tomography (MRT) often require an efficient scalable representation of their huge output volumes in the further processing chain of medical routine. A downscaled…

Image and Video Processing · Electrical Eng. & Systems 2023-01-13 Daniela Lanz , André Kaup

Timestamped relational datasets consisting of records between pairs of entities are ubiquitous in data and network science. For applications like peer-to-peer communication, email, social network interactions, and computer network security,…

Data Structures and Algorithms · Computer Science 2023-11-20 Michael Ostroski , Geoffrey Sanders , Trevor Steil , Roger Pearce

Recently there has been a surge of interest in designing graph embedding methods. Few, if any, can scale to a large-sized graph with millions of nodes due to both computational complexity and memory requirements. In this paper, we relax…

Artificial Intelligence · Computer Science 2020-08-17 Jiongqian Liang , Saket Gurukar , Srinivasan Parthasarathy

Metric learning seeks perceptual embeddings where visually similar instances are close and dissimilar instances are apart, but learned representations can be sub-optimal when the distribution of intra-class samples is diverse and distinct…

Machine Learning · Computer Science 2021-08-30 Elad Levi , Tete Xiao , Xiaolong Wang , Trevor Darrell

Automatic detection and segmentation of objects in 2D and 3D microscopy data is important for countless biomedical applications. In the natural image domain, spatial embedding-based instance segmentation methods are known to yield…

Image and Video Processing · Electrical Eng. & Systems 2021-04-30 Manan Lalit , Pavel Tomancak , Florian Jug

We describe a technique for bundled curve representations in parallel-coordinates plots and present a controlled user study evaluating their effectiveness. Replacing the traditional C^0 polygonal lines by C^1 continuous piecewise Bezier…

Graphics · Computer Science 2015-03-19 Julian Heinrich , Yuan Luo , Arthur E. Kirkpatrick , Hao Zhang , Daniel Weiskopf

We present Submatrix-wise Vector Embedding Learner (Swivel), a method for generating low-dimensional feature embeddings from a feature co-occurrence matrix. Swivel performs approximate factorization of the point-wise mutual information…

Computation and Language · Computer Science 2016-02-09 Noam Shazeer , Ryan Doherty , Colin Evans , Chris Waterson

Mixed-integer linear programs (MILPs) are extensively used to model practical problems such as planning and scheduling. A prominent method for solving MILPs is large neighborhood search (LNS), which iteratively seeks improved solutions…

Optimization and Control · Mathematics 2024-12-12 Wenbo Liu , Akang Wang , Wenguo Yang , Qingjiang Shi

The Circuit Localization track of the Mechanistic Interpretability Benchmark (MIB) evaluates methods for localizing circuits within large language models (LLMs), i.e., subnetworks responsible for specific task behaviors. In this work, we…