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We propose an efficient algorithm to visualise symmetries in neural networks. Typically, models are defined with respect to a parameter space, where non-equal parameters can produce the same input-output map. Our proposed method, GENNI,…

Several variants of recurrent neural networks (RNNs) with orthogonal or unitary recurrent matrices have recently been developed to mitigate the vanishing/exploding gradient problem and to model long-term dependencies of sequences. However,…

Machine Learning · Computer Science 2019-11-20 Kyle Helfrich , Qiang Ye

Content recommendation tasks increasingly use Graph Neural Networks, but it remains challenging for machine learning experts to assess the quality of their outputs. Visualization systems for GNNs that could support this interrogation are…

Human-Computer Interaction · Computer Science 2023-10-19 Camelia D. Brumar , Gabriel Appleby , Jen Rogers , Teddy Matinde , Lara Thompson , Remco Chang , Anamaria Crisan

Water is the lifeblood of river networks, and its quality plays a crucial role in sustaining both aquatic ecosystems and human societies. Real-time monitoring of water quality is increasingly reliant on in-situ sensor technology. Anomaly…

Machine Learning · Computer Science 2023-06-02 Katie Buchhorn , Edgar Santos-Fernandez , Kerrie Mengersen , Robert Salomone

Change detection is one of the central problems in earth observation and was extensively investigated over recent decades. In this paper, we propose a novel recurrent convolutional neural network (ReCNN) architecture, which is trained to…

Computer Vision and Pattern Recognition · Computer Science 2019-03-27 Lichao Mou , Lorenzo Bruzzone , Xiao Xiang Zhu

Singular value decomposition is central to many problems in engineering and scientific fields. Several quantum algorithms have been proposed to determine the singular values and their associated singular vectors of a given matrix. Although…

Quantum Physics · Physics 2021-06-30 Xin Wang , Zhixin Song , Youle Wang

Change-point detection regains much attention recently for analyzing array or sequencing data for copy number variation (CNV) detection. In such applications, the true signals are typically very short and buried in the long data sequence,…

Applications · Statistics 2019-08-20 Seung Jun Shin , Yichao Wu , Ning Hao

Deep learning models often require large amounts of data for training, leading to increased costs. It is particularly challenging in medical imaging, i.e., gathering distributed data for centralized training, and meanwhile, obtaining…

Computer Vision and Pattern Recognition · Computer Science 2023-06-27 Zhenyu Tang , Shaoting Zhang , Xiaosong Wang

Graph Neural Networks (GNNs) are recently proposed neural network structures for the processing of graph-structured data. Due to their employed neighbor aggregation strategy, existing GNNs focus on capturing node-level information and…

Machine Learning · Computer Science 2022-01-05 Xing Ai , Chengyu Sun , Zhihong Zhang , Edwin R Hancock

In this paper, we analyze the numerics of common algorithms for training Generative Adversarial Networks (GANs). Using the formalism of smooth two-player games we analyze the associated gradient vector field of GAN training objectives. Our…

Machine Learning · Computer Science 2018-06-12 Lars Mescheder , Sebastian Nowozin , Andreas Geiger

This paper presents a Temporal Graph Neural Network (TGNN) framework for detection and localization of false data injection and ramp attacks on the system state in smart grids. Capturing the topological information of the system through the…

Machine Learning · Computer Science 2023-03-28 Seyed Hamed Haghshenas , Md Abul Hasnat , Mia Naeini

Graph neural network (GNN)-based fault diagnosis (FD) has received increasing attention in recent years, due to the fact that data coming from several application domains can be advantageously represented as graphs. Indeed, this particular…

Systems and Control · Electrical Eng. & Systems 2021-11-17 Zhiwen Chen , Jiamin Xu , Cesare Alippi , Steven X. Ding , Yuri Shardt , Tao Peng , Chunhua Yang

Recent work on neural algorithmic reasoning has demonstrated that graph neural networks (GNNs) could learn to execute classical algorithms. Doing so, however, has always used a recurrent architecture, where each iteration of the GNN aligns…

Machine Learning · Computer Science 2024-04-10 Dobrik Georgiev , Pietro Liò , Davide Buffelli

Graph neural networks (GNNs) have emerged as a powerful model to capture critical graph patterns. Instead of treating them as black boxes in an end-to-end fashion, attempts are arising to explain the model behavior. Existing works mainly…

Machine Learning · Computer Science 2024-02-22 Yi Nian , Yurui Chang , Wei Jin , Lu Lin

An effective neural network algorithm of the perceptron type is proposed. The algorithm allows us to identify strongly distorted input vector reliably. It is shown that its reliability and processing speed are orders of magnitude higher…

Neural and Evolutionary Computing · Computer Science 2007-05-23 D. I. Alieva , B. V. Kryzhanovsky , V. M. Kryzhanovsky , A. B. Fonarev

Improving the robustness of neural nets in regression tasks is key to their application in multiple domains. Deep learning-based approaches aim to achieve this goal either by improving their prediction of specific values (i.e., point…

Machine Learning · Computer Science 2021-06-22 Eli Simhayev , Gilad Katz , Lior Rokach

We present extended Galerkin neural networks (xGNN), a variational framework for approximating general boundary value problems (BVPs) with error control. The main contributions of this work are (1) a rigorous theory guiding the construction…

Numerical Analysis · Mathematics 2024-12-04 Mark Ainsworth , Justin Dong

The generative adversarial networks (GANs) have recently been applied to estimating the distribution of independent and identically distributed data, and have attracted a lot of research attention. In this paper, we use the blocking…

Machine Learning · Computer Science 2023-02-08 Jianya Lu , Yingjun Mo , Zhijie Xiao , Lihu Xu , Qiuran Yao

Detecting structure in noisy time series is a difficult task. One intuitive feature is the notion of trend. From theoretical hints and using simulated time series, we empirically investigate the efficiency of standard recurrent neural…

Machine Learning · Computer Science 2021-10-22 Alexandre Miot , Gilles Drigout

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