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The objective functions used in spectral clustering are usually composed of two terms: i) a term that minimizes the local quadratic variation of the cluster assignments on the graph and; ii) a term that balances the clustering partition and…

Machine Learning · Computer Science 2022-11-29 Filippo Maria Bianchi

Deep learning methods for graphs have seen rapid progress in recent years with much focus awarded to generalising Convolutional Neural Networks (CNN) to graph data. CNNs are typically realised by alternating convolutional and pooling layers…

Machine Learning · Computer Science 2020-06-04 Yaniv Shulman

Layered neural networks have greatly improved the performance of various applications including image processing, speech recognition, natural language processing, and bioinformatics. However, it is still difficult to discover or interpret…

Machine Learning · Statistics 2017-10-05 Chihiro Watanabe , Kaoru Hiramatsu , Kunio Kashino

Neural networks are becoming increasingly prevalent in software, and it is therefore important to be able to verify their behavior. Because verifying the correctness of neural networks is extremely challenging, it is common to focus on the…

Machine Learning · Computer Science 2019-02-19 Ravi Mangal , Aditya V. Nori , Alessandro Orso

Deep neural networks (DNNs) demonstrate outstanding performance across most computer vision tasks. Some critical applications, such as autonomous driving or medical imaging, also require investigation into their behavior and the reasons…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Edouard Yvinec , Arnaud Dapogny , Kevin Bailly , Xavier Fischer

Hypergraph-based machine learning methods are now widely recognized as important for modeling and using higher-order and multiway relationships between data objects. Local hypergraph clustering and semi-supervised learning specifically…

Social and Information Networks · Computer Science 2021-03-22 Meng Liu , Nate Veldt , Haoyu Song , Pan Li , David F. Gleich

In Network Science node neighbourhoods, also called ego-centered networks have attracted large attention. In particular the clustering coefficient has been extensively used to measure their local cohesiveness. In this paper, we show how,…

Physics and Society · Physics 2019-08-22 Alexander P. Kartun-Giles , Ginestra Bianconi

Deep neural networks are the state-of-the-art methods for many real-world tasks, such as computer vision, natural language processing and speech recognition. For all its popularity, deep neural networks are also criticized for consuming a…

Machine Learning · Computer Science 2018-12-18 Yunhui Guo

We examine the role of memorization in deep learning, drawing connections to capacity, generalization, and adversarial robustness. While deep networks are capable of memorizing noise data, our results suggest that they tend to prioritize…

Converging evidence suggests that the mammalian ventral visual pathway encodes increasingly complex stimulus features in downstream areas. Using deep convolutional neural networks, we can now quantitatively demonstrate that there is indeed…

Neurons and Cognition · Quantitative Biology 2017-03-13 Umut Güçlü , Marcel A. J. van Gerven

It has been recognized that a heavily overparameterized artificial neural network exhibits surprisingly good generalization performance in various machine-learning tasks. Recent theoretical studies have made attempts to unveil the mystery…

Machine Learning · Computer Science 2021-01-28 Takashi Mori , Masahito Ueda

This paper presents Discriminative Part Network (DP-Net), a deep architecture with strong interpretation capabilities, which exploits a pretrained Convolutional Neural Network (CNN) combined with a part-based recognition module. This system…

Computer Vision and Pattern Recognition · Computer Science 2024-04-24 Ronan Sicre , Hanwei Zhang , Julien Dejasmin , Chiheb Daaloul , Stéphane Ayache , Thierry Artières

Graph Neural Networks (GNNs) have attracted increasing attention in recent years and have achieved excellent performance in semi-supervised node classification tasks. The success of most GNNs relies on one fundamental assumption, i.e., the…

Machine Learning · Computer Science 2024-12-03 Junchao Lin , Yuan Wan , Jingwen Xu , Xingchen Qi

Local clustering aims at extracting a local structure inside a graph without the necessity of knowing the entire graph structure. As the local structure is usually small in size compared to the entire graph, one can think of it as a…

Machine Learning · Computer Science 2024-08-20 Zhaiming Shen , Ming-Jun Lai , Sheng Li

Deep learning relies on a very specific kind of neural networks: those superposing several neural layers. In the last few years, deep learning achieved major breakthroughs in many tasks such as image analysis, speech recognition, natural…

Artificial Intelligence · Computer Science 2018-02-01 Lê Nguyên Hoang , Rachid Guerraoui

We use graphical methods to probe neural nets that classify images. Plots of t-SNE outputs at successive layers in a network reveal increasingly organized arrangement of the data points. They can also reveal how a network can diminish or…

Machine Learning · Computer Science 2021-07-28 Christopher R. Hoyt , Art B. Owen

Vision tasks are characterized by the properties of locality and translation invariance. The superior performance of convolutional neural networks (CNNs) on these tasks is widely attributed to the inductive bias of locality and weight…

Machine Learning · Computer Science 2024-03-26 Aakash Lahoti , Stefani Karp , Ezra Winston , Aarti Singh , Yuanzhi Li

Partitioned neural network functions are used to approximate the solution of partial differential equations. The problem domain is partitioned into non-overlapping subdomains and the partitioned neural network functions are defined on the…

Numerical Analysis · Mathematics 2023-12-25 Deok-Kyu Jang , Kyungsoo Kim , Hyea Hyun Kim

Recently, many methods to interpret and visualize deep neural network predictions have been proposed and significant progress has been made. However, a more class-discriminative and visually pleasing explanation is required. Thus, this…

Computer Vision and Pattern Recognition · Computer Science 2020-01-06 Dasom Seo , Kanghan Oh , Il-Seok Oh

Graph Neural Networks (GNNs) have emerged as highly successful tools for graph-related tasks. However, real-world problems involve very large graphs, and the compute resources needed to fit GNNs to those problems grow rapidly. Moreover, the…

Machine Learning · Computer Science 2021-11-11 Eitan Kosman , Joel Oren , Dotan Di Castro