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Drawings of non-planar graphs always result in edge crossings. When there are many edges crossing at small angles, it is often difficult to follow these edges, because of the multiple visual paths resulted from the crossings that slow down…

Discrete Mathematics · Computer Science 2014-09-02 Yifan Hu , Lei Shi

Graph neural networks emerge as a promising modeling method for applications dealing with datasets that are best represented in the graph domain. In specific, developing recommendation systems often require addressing sparse structured data…

Machine Learning · Computer Science 2020-08-03 Dom Huh

There is strong interest in developing mathematical methods that can be used to understand complex neural networks used in image analysis. In this paper, we introduce techniques from Linear Algebra to model neural network layers as maps…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Rebecca Pattichis , Marios S. Pattichis

Neural networks have proved to be versatile and robust for particle separation in many experiments related to particle astrophysics. We apply these techniques to separate gamma rays from hadrons for the MAGIC Cerenkov Telescope. Two types…

Astrophysics · Physics 2015-06-24 P. Boinee , F. Barbarino , A. De Angelis , A. Saggion , M. Zacchello

Image colorization, the task of adding colors to grayscale images, has been the focus of significant research efforts in computer vision in recent years for its various application areas such as color restoration and automatic animation…

Computer Vision and Pattern Recognition · Computer Science 2025-08-20 Changyuan Qiu , Hangrui Cao , Qihan Ren , Ruiyu Li , Yuqing Qiu

Spectral clustering and its extensions usually consist of two steps: (1) constructing a graph and computing the relaxed solution; (2) discretizing relaxed solutions. Although the former has been extensively investigated, the discretization…

Machine Learning · Computer Science 2023-10-20 Hongyuan Zhang , Xuelong Li

Constructing gene regulatory networks is a critical step in revealing disease mechanisms from transcriptomic data. In this work, we present NO-BEARS, a novel algorithm for estimating gene regulatory networks. The NO-BEARS algorithm is built…

Genomics · Quantitative Biology 2019-11-04 Hao-Chih Lee , Matteo Danieletto , Riccardo Miotto , Sarah T. Cherng , Joel T. Dudley

Bounding volumes are an established concept in computer graphics and vision tasks but have seen little change since their early inception. In this work, we study the use of neural networks as bounding volumes. Our key observation is that…

Graphics · Computer Science 2024-05-27 Stephanie Wenxin Liu , Michael Fischer , Paul D. Yoo , Tobias Ritschel

We develop algorithms capable of tackling robust black-box optimisation problems, where the number of model runs is limited. When a desired solution cannot be implemented exactly the aim is to find a robust one, where the worst case in an…

Optimization and Control · Mathematics 2020-04-17 Martin Hughes , Marc Goerigk , Trivikram Dokka

Document structure analysis, such as zone segmentation and table recognition, is a complex problem in document processing and is an active area of research. The recent success of deep learning in solving various computer vision and machine…

Computer Vision and Pattern Recognition · Computer Science 2019-07-04 Shah Rukh Qasim , Hassan Mahmood , Faisal Shafait

The performance of search algorithms for grid-based pathfinding, e.g. A*, critically depends on the heuristic function that is used to focus the search. Recent studies have shown that informed heuristics that take the positions/shapes of…

Machine Learning · Computer Science 2026-03-02 Aleksandr Ananikian , Daniil Drozdov , Konstantin Yakovlev

Answering compositional questions that require multiple steps of reasoning against text is challenging, especially when they involve discrete, symbolic operations. Neural module networks (NMNs) learn to parse such questions as executable…

Computation and Language · Computer Science 2020-02-18 Nitish Gupta , Kevin Lin , Dan Roth , Sameer Singh , Matt Gardner

Neural networks are powerful function estimators, leading to their status as a paradigm of choice for modeling structured data. However, unlike other structured representations that emphasize the modularity of the problem -- e.g., factor…

Machine Learning · Computer Science 2022-06-20 Tsvetomila Mihaylova , Vlad Niculae , André F. T. Martins

Graphs are widely used to model execution dependencies in applications. In particular, the NP-complete problem of partitioning a graph under constraints receives enormous attention by researchers because of its applicability in…

Data Structures and Algorithms · Computer Science 2017-04-04 Orlando Moreira , Merten Popp , Christian Schulz

Although a large number of optimization algorithms have been proposed for black box optimization problems, the no free lunch theorems inform us that no algorithm can beat others on all types of problems. Different types of optimization…

Neural and Evolutionary Computing · Computer Science 2020-01-07 Yaodong He , Shiu Yin Yuen

A determined algorithm is presented for solving the rSUM problem for any natural r with a sub-quadratic assessment of time complexity in some cases. In terms of an amount of memory used the obtained algorithm is the nlog^3(n) order. The…

Data Structures and Algorithms · Computer Science 2015-02-10 Valerii Sopin

A variety of behaviors like spatial navigation or bodily motion can be formulated as graph traversal problems through cognitive maps. We present a neural network model which can solve such tasks and is compatible with a broad range of…

Neural and Evolutionary Computing · Computer Science 2021-10-12 Henry Powell , Mathias Winkel , Alexander V. Hopp , Helmut Linde

We present a learning-based approach to computing solutions for certain NP-hard problems. Our approach combines deep learning techniques with useful algorithmic elements from classic heuristics. The central component is a graph…

Machine Learning · Computer Science 2018-10-26 Zhuwen Li , Qifeng Chen , Vladlen Koltun

The rapid progress of Artificial Intelligence research came with the development of increasingly complex deep learning models, leading to growing challenges in terms of computational complexity, energy efficiency and interpretability. In…

Machine Learning · Computer Science 2023-06-28 Yuanrong Wang , Antonio Briola , Tomaso Aste

We perform a massive evaluation of neural networks with architectures corresponding to random graphs of various types. We investigate various structural and numerical properties of the graphs in relation to neural network test accuracy. We…

Machine Learning · Computer Science 2020-12-03 Romuald A. Janik , Aleksandra Nowak