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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…

数值分析 · 数学 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…

最优化与控制 · 数学 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…

数值分析 · 数学 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…

机器学习 · 计算机科学 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…

神经与进化计算 · 计算机科学 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…

数值分析 · 数学 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…

计算机视觉与模式识别 · 计算机科学 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…

数值分析 · 数学 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…

机器学习 · 计算机科学 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,…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 统计学 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…

机器学习 · 计算机科学 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…

硬件体系结构 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

分布式、并行与集群计算 · 计算机科学 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…

机器学习 · 计算机科学 2016-03-04 Minyoung Kim , Luca Rigazio
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