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The widespread relevance of complex networks is a valuable tool in the analysis of a broad range of systems. There is a demand for tools which enable the extraction of meaningful information and allow the comparison between different…

Physics and Society · Physics 2011-03-30 Kathryn Cooper , Mauricio Barahona

Deep learning based image segmentation methods have achieved great success, even having human-level accuracy in some applications. However, due to the black box nature of deep learning, the best method may fail in some situations. Thus…

Computer Vision and Pattern Recognition · Computer Science 2020-05-28 Leixin Zhou , Wenxiang Deng , Xiaodong Wu

The high computational complexity and increasing parameter counts of deep neural networks pose significant challenges for deployment in resource-constrained environments, such as edge devices or real-time systems. To address this, we…

Machine Learning · Computer Science 2025-06-17 Laura Erb , Tommaso Boccato , Alexandru Vasilache , Juergen Becker , Nicola Toschi

Spatial networks are networks whose graph topology is constrained by their embedded spatial space. Understanding the coupled spatial-graph properties is crucial for extracting powerful representations from spatial networks. Therefore,…

Machine Learning · Computer Science 2024-01-11 Zheng Zhang , Sirui Li , Jingcheng Zhou , Junxiang Wang , Abhinav Angirekula , Allen Zhang , Liang Zhao

We propose a general approach to the description of spectra of complex networks. For the spectra of networks with uncorrelated vertices (and a local tree-like structure), exact equations are derived. These equations are generalized to the…

Statistical Mechanics · Physics 2009-11-10 S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes , A. N. Samukhin

Previous literature suggests that perceptual similarity is an emergent property shared across deep visual representations. Experiments conducted on a dataset of human-judged image distortions have proven that deep features outperform…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Simone Bianco , Luigi Celona , Paolo Napoletano

Current successful approaches for generic (non-semantic) segmentation rely mostly on edge detection and have leveraged the strengths of deep learning mainly by improving the edge detection stage in the algorithmic pipeline. This is in…

Computer Vision and Pattern Recognition · Computer Science 2020-03-26 Or Isaacs , Oran Shayer , Michael Lindenbaum

Superpixel-based methodologies have become increasingly popular in computer vision, especially when the computation is too expensive in time or memory to perform with a large number of pixels or features. However, rarely is superpixel…

Computer Vision and Pattern Recognition · Computer Science 2019-08-05 Alex Yang , Charlie T. Veal , Derek T. Anderson , Grant J. Scott

Deep neural networks use multiple layers of functions to map an object represented by an input vector progressively to different representations, and with sufficient training, eventually to a single score for each class that is the output…

Machine Learning · Computer Science 2022-09-02 Tin Kam Ho

Graph embeddings have emerged as a powerful tool for representing complex network structures in a low-dimensional space, enabling the use of efficient methods that employ the metric structure in the embedding space as a proxy for the…

Social and Information Networks · Computer Science 2024-04-18 Radosław Nowak , Adam Małkowski , Daniel Cieślak , Piotr Sokół , Paweł Wawrzyński

In this paper we present a mathematical framework on linking of embeddings of compact topological spaces into Euclidean spaces and separability of linked embeddings under a specific class of dimension reduction maps. As applications of the…

General Topology · Mathematics 2025-11-11 Xiao-Song Yang

As supported by abundant experimental evidence, neural networks are state-of-the-art for many approximation tasks in high-dimensional spaces. Still, there is a lack of a rigorous theoretical understanding of what they can approximate, at…

Numerical Analysis · Mathematics 2024-06-24 Elena Celledoni , James Jackaman , Davide Murari , Brynjulf Owren

As Convolutional Neural Networks embed themselves into our everyday lives, the need for them to be interpretable increases. However, there is often a trade-off between methods that are efficient to compute but produce an explanation that is…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Thomas Hartley , Kirill Sidorov , Christopher Willis , David Marshall

One of the central challenges facing modern neuroscience is to explain the ability of the nervous system to coherently integrate information across distinct functional modules in the absence of a central executive. To this end Tononi et al.…

Neurons and Cognition · Quantitative Biology 2010-11-30 L. Barnett , C. L. Buckley , S. Bullock

Existing network embedding approaches tackle the problem of learning low-dimensional node representations. However, networks can also be seen in the light of edges interlinking pairs of nodes. The broad goal of this paper is to introduce…

Social and Information Networks · Computer Science 2020-11-12 Giuseppe Pirrò

Image segmentation is an important task in the domain of computer vision and medical imaging. In natural and medical images, intensity inhomogeneity, i.e. the varying image intensity, occurs often and it poses considerable challenges for…

Image and Video Processing · Electrical Eng. & Systems 2019-04-04 Raymond Chan , Hongfei Yang , Tieyong Zeng

The machine learning community has been overwhelmed by a plethora of deep learning based approaches. Many challenging computer vision tasks such as detection, localization, recognition and segmentation of objects in unconstrained…

Computer Vision and Pattern Recognition · Computer Science 2019-07-16 Swarnendu Ghosh , Nibaran Das , Ishita Das , Ujjwal Maulik

What is a complex network? How do we characterize complex networks? Which systems can be studied from a network approach? In this text, we motivate the use of complex networks to study and understand a broad panoply of systems, ranging from…

Physics and Society · Physics 2007-11-27 Pedro G. Lind

Divide and conquer is an established algorithm design paradigm that has proven itself to solve a variety of problems efficiently. However, it is yet to be fully explored in solving problems with a neural network, particularly the problem of…

Image and Video Processing · Electrical Eng. & Systems 2020-10-08 Vikram Singh , Anurag Mittal

State-of-the-art deep neural networks have been shown to be extremely powerful in a variety of perceptual tasks like semantic segmentation. However, these networks are vulnerable to adversarial perturbations of the input which are…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Kira Maag , Asja Fischer
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