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Recently, a kind of eigensolvers based on contour integral were developed for computing the eigenvalues inside a given region in the complex plane. The CIRR method is a classic example among this kind of methods. In this paper, we propose a…

Numerical Analysis · Mathematics 2015-08-19 Guojian Yin

The generalized eigenvalue problem (GEP) serves as a cornerstone in a wide range of applications in numerical linear algebra and scientific computing. However, traditional approaches that aim to maximize the classical Rayleigh quotient…

Optimization and Control · Mathematics 2025-07-04 Xiaozhi Liu , Yong Xia

Neural operators aim to learn mappings between infinite-dimensional function spaces, but their performance often degrades on complex or irregular geometries due to the lack of geometry-aware representations. We propose the Finite Element…

Numerical Analysis · Mathematics 2026-02-03 Shiyuan Li , Hossein Salahshoor

There has been an increased interest in discovering heuristics for combinatorial problems on graphs through machine learning. While existing techniques have primarily focused on obtaining high-quality solutions, scalability to billion-sized…

Machine Learning · Computer Science 2020-12-04 Sahil Manchanda , Akash Mittal , Anuj Dhawan , Sourav Medya , Sayan Ranu , Ambuj Singh

This study proposes a hybrid deep-learning-metaheuristic framework with a bi-level architecture for road network design problems (NDPs). We train a graph neural network (GNN) to approximate the solution of the user equilibrium (UE) traffic…

Neural and Evolutionary Computing · Computer Science 2023-12-12 Bahman Madadi , Goncalo Homem de Almeida Correia

Solving polynomial eigenvalue problems with eigenvector nonlinearities (PEPv) is an interesting computational challenge, outside the reach of the well-developed methods for nonlinear eigenvalue problems. We present a natural generalization…

Numerical Analysis · Mathematics 2022-05-26 Rob Claes , Karl Meerbergen , Simon Telen

Contour-based instance segmentation methods have developed rapidly recently but feature rough and hand-crafted front-end contour initialization, which restricts the model performance, and an empirical and fixed backend predicted-label…

Computer Vision and Pattern Recognition · Computer Science 2022-03-09 Tao Zhang , Shiqing Wei , Shunping Ji

In this work, the infinite GMRES algorithm, recently proposed by Correnty et al., is employed in contour integral-based nonlinear eigensolvers, avoiding the computation of costly factorizations at each quadrature node to solve the linear…

Numerical Analysis · Mathematics 2025-05-07 Yuqi Liu , Jose E. Roman , Meiyue Shao

Graph-structured data arise in many scenarios. A fundamental problem is to quantify the similarities of graphs for tasks such as classification. R-convolution graph kernels are positive-semidefinite functions that decompose graphs into…

Machine Learning · Computer Science 2022-01-25 Wei Ye , Omid Askarisichani , Alex Jones , Ambuj Singh

Detection Transformer (DETR) and its variants show strong performance on object detection, a key task for autonomous systems. However, a critical limitation of these models is that their confidence scores only reflect semantic uncertainty,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Yutong Yang , Katarina Popović , Julian Wiederer , Markus Braun , Vasileios Belagiannis , Bin Yang

In recent years, with the rapid development of computer information technology, the development of artificial intelligence has been accelerating. The traditional geometry recognition technology is relatively backward and the recognition…

Computer Vision and Pattern Recognition · Computer Science 2024-04-26 Ruiyang Wang , Haonan Wang , Junfeng Sun , Mingjia Zhao , Meng Liu

An infinitely wide model is a weighted integration $\int \varphi(x,v) d \mu(v)$ of feature maps. This model excels at handling an infinite number of features, and thus it has been adopted to the theoretical study of deep learning. Kernel…

Machine Learning · Statistics 2020-07-08 Sho Sonoda

Deep learning compiler frameworks are gaining ground as a more portable back-end for deep learning applications on increasingly diverse hardware. However, they face the daunting challenge of matching performance offered by hand-tuned…

Machine Learning · Computer Science 2021-02-10 Jaehun Ryu , Hyojin Sung

Graph Convolutional Networks (GCNs) have emerged as the state-of-the-art graph learning model. However, it can be notoriously challenging to inference GCNs over large graph datasets, limiting their application to large real-world graphs and…

Hardware Architecture · Computer Science 2025-03-11 Haoran You , Tong Geng , Yongan Zhang , Ang Li , Yingyan Celine Lin

In the present work, a generative deep learning framework combining a Co-optimized Variational Autoencoder (Co-VAE) architecture with quantitative structure-property relationship (QSPR) techniques is developed to enable accelerated inverse…

Machine Learning · Computer Science 2025-10-15 Kiran K. Yalamanchi , Pinaki Pal , Balaji Mohan , Abdullah S. AlRamadan , Jihad A. Badra , Yuanjiang Pei

A novel energy-efficient edge computing paradigm is proposed for real-time deep learning-based image upsampling applications. State-of-the-art deep learning solutions for image upsampling are currently trained using either resize or…

Computer Vision and Pattern Recognition · Computer Science 2021-07-27 Ian Colbert , Ken Kreutz-Delgado , Srinjoy Das

This paper presents an innovative framework for remote sensing image analysis by fusing deep learning techniques, specifically Convolutional Neural Networks (CNNs) and Long Short-Term Memory (LSTM) networks, with Geographic Information…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 Sajjad Afroosheh , Mohammadreza Askari

Ill-posed inverse problems appear in many image processing applications, such as deblurring and super-resolution. In recent years, solutions that are based on deep Convolutional Neural Networks (CNNs) have shown great promise. Yet, most of…

Computer Vision and Pattern Recognition · Computer Science 2021-02-05 Shady Abu-Hussein , Tom Tirer , Se Young Chun , Yonina C. Eldar , Raja Giryes

Deep learning systems have been successfully applied to Euclidean data such as images, video, and audio. In many applications, however, information and their relationships are better expressed with graphs. Graph Convolutional Networks…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-14 Tong Geng , Ang Li , Runbin Shi , Chunshu Wu , Tianqi Wang , Yanfei Li , Pouya Haghi , Antonino Tumeo , Shuai Che , Steve Reinhardt , Martin Herbordt

Deep neural networks have recently achieved state of the art performance thanks to new training algorithms for rapid parameter estimation and new regularization methods to reduce overfitting. However, in practice the network architecture…

Machine Learning · Computer Science 2016-03-04 Minyoung Kim , Luca Rigazio
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