Chapter · January 1, 2025
Hyperbolic representations have shown remarkable efficacy in modeling inherent hierarchies and complexities within data structures. Hyperbolic neural networks have been commonly applied for learning such representations from data, but they often fall short ...
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Journal ArticleHeritage Science · December 1, 2024
The blue and white porcelain produced in Jingdezhen during China’s Yuan Dynasty is an outstanding cultural heritage of ceramic art that has attracted wide attention for its identification. However, the traditional visual identification method is susceptibl ...
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Journal ArticleIEEE transactions on neural networks and learning systems · October 2024
The recent rapid growth in mobile data traffic entails a pressing demand for improving the throughput of the underlying wireless communication networks. Network node deployment has been considered as an effective approach for throughput enhancement which, ...
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Journal ArticleNeural networks : the official journal of the International Neural Network Society · October 2024
Detecting unusual patterns in graph data is a crucial task in data mining. However, existing methods face challenges in consistently achieving satisfactory performance and often lack interpretability, which hinders our understanding of anomaly detection de ...
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ConferenceProceedings of the ACM SIGKDD International Conference on Knowledge Discovery and Data Mining · August 25, 2024
Hyperbolic neural networks (HNNs) are emerging as a promising tool for representing data embedded in non-Euclidean geometries, yet their adoption has been hindered by challenges related to stability and robustness. In this work, we conduct a rigorous Lipsc ...
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Journal ArticleACM Transactions on Design Automation of Electronic Systems · August 13, 2024
Failure diagnosis is a software-based, data-driven procedure. Collecting an excessive amount of fail data not only increases the overall test cost but can also potentially reduce diagnostic resolution. Thus, test-termination prediction is proposed to dynam ...
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Journal ArticleIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems · April 1, 2024
The pursuit of accurate diagnosis with good resolution is driven by yield learning during both early bring-up and production excursions. Unfortunately, fault callouts from diagnosis tools often render poor resolution that hinders the follow-up failure anal ...
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ConferenceProceedings - International Symposium on Biomedical Imaging · January 1, 2024
Cell segmentation plays a crucial role in biological image analysis, serving as a fundamental step with downstream applications in pathology, clinical diagnosis, and drug discovery. Recent advancements in deep learning, especially the Unet architecture, ha ...
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ConferenceProceedings of the ACM SIGKDD International Conference on Knowledge Discovery and Data Mining · August 6, 2023
Graph neural networks (GNNs) have shown considerable promise for graph-structured data. However, they are also known to be unstable and vulnerable to perturbations and attacks. Recently, the Lipschitz constant has been adopted as a control on the stability ...
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Journal ArticleIEEE Access · January 1, 2023
The past decade has witnessed wide applications of deep neural networks in anomaly detection. However, the dearth of interpretability in neural networks often hinders their reliability, especially for industrial applications where practical users heavily r ...
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Journal ArticleNonlinear Processes in Geophysics · July 6, 2021
In this paper, we present an ensemble data assimilation paradigm over a Riemannian manifold equipped with the Wasserstein metric. Unlike the Euclidean distance used in classic data assimilation methodologies, the Wasserstein metric can capture the translat ...
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Journal ArticleApplied and Computational Harmonic Analysis · November 1, 2020
We generalize the scattering transform to graphs and consequently construct a convolutional neural network on graphs. We show that under certain conditions, any feature generated by such a network is approximately invariant to permutations and stable to si ...
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Journal ArticleQuarterly Journal of the Royal Meteorological Society · July 1, 2020
This article presents a new variational data assimilation (VDA) approach for the formal treatment of bias in both model outputs and observations. This approach relies on the Wasserstein metric, stemming from the theory of optimal mass transport, to penaliz ...
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Conference · May 1, 2020
We propose a neural network for unsupervised anomaly detection with a novel robust subspace recovery layer (RSR layer). This layer seeks to extract the underlying subspace from a latent representation of the given data and removes outliers that lie away fr ...
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Journal ArticleIEEE Transactions on Information Theory · March 1, 2020
Many convolutional neural networks (CNN's) have a feed-forward structure. In this paper, we model a general framework for analyzing the Lipschitz bounds of CNN's and propose a linear program that estimates these bounds. Several CNN's, including the scatter ...
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ConferenceProceedings of the International Joint Conference on Neural Networks · July 1, 2019
Generative networks have made it possible to generate meaningful signals such as images and texts from simple noise. Recently, generative methods based on GAN and VAE were developed for graphs and graph signals. However, the mathematical properties of thes ...
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Chapter · January 1, 2018
In this paper we discuss the stability properties of convolutional neural networks. Convolutional neural networks are widely used in machine learning. In classification they are mainly used as feature extractors. Ideally, we expect similar features when th ...
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Journal ArticleLinear Algebra and Its Applications · May 1, 2016
We prove two results with regard to reconstruction from magnitudes of frame coefficients (the so called "phase retrieval problem"). First we show that phase retrievable nonlinear maps are bi-Lipschitz with respect to appropriate metrics on the quotient spa ...
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Chapter · October 27, 2015
This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Its Applications held March 29-30, 2014, at the University of Maryland, Baltimore County, Baltimore, MD. It provides an in depth look at the many ... ...
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ConferenceProceedings of Machine Learning Research
Graph anomaly detection plays a vital role for identifying abnormal instances in complex networks. Despite advancements of methodology based on deep learning in recent years, existing benchmarking approaches exhibit limitations that hinder a comprehensive ...
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