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This paper presents an adaptive convolutional neural network (CNN) architecture that can automate diverse topology optimization (TO) problems having different underlying physics. The architecture uses the encoder-decoder networks with dense…

计算工程、金融与科学 · 计算机科学 2025-09-10 Khaish Singh Chadha , Prabhat Kumar

The global attention mechanism is one of the keys to the success of transformer architecture, but it incurs quadratic computational costs in relation to the number of tokens. On the other hand, equivariant models, which leverage the…

Tensor robust principal component analysis (TRPCA) is a fundamental model in machine learning and computer vision. Recently, tensor train (TT) decomposition has been verified effective to capture the global low-rank correlation for tensor…

机器学习 · 计算机科学 2022-03-14 Yuning Qiu , Guoxu Zhou , Zhenhao Huang , Qibin Zhao , Shengli Xie

Spectral graph convolutional network (SGCN) is a kind of graph neural networks (GNN) based on graph signal filters, and has shown compelling expressivity for modeling graph-structured data. Most SGCNs adopt polynomial filters and learn the…

机器学习 · 计算机科学 2024-05-07 Feng Huang , Wen Zhang

Lossy image compression (LIC), which aims to utilize inexact approximations to represent an image more compactly, is a classical problem in image processing. Recently, deep convolutional neural networks (CNNs) have achieved interesting…

计算机视觉与模式识别 · 计算机科学 2018-07-11 Jianrui Cai , Zisheng Cao , Lei Zhang

Convolutional Neural Networks are extensively used in a wide range of applications, commonly including computer vision tasks like image and video classification, recognition, and segmentation. Recent research results demonstrate that…

信号处理 · 电气工程与系统科学 2020-05-11 Marco Carreras , Gianfranco Deriu , Luigi Raffo , Luca Benini , Paolo Meloni

Numerous Graph Neural Networks (GNNs) have been developed to tackle the challenge of Knowledge Graph Embedding (KGE). However, many of these approaches overlook the crucial role of relation information and inadequately integrate it with…

机器学习 · 计算机科学 2024-09-24 Peyman Baghershahi , Reshad Hosseini , Hadi Moradi

We propose a novel technique for faster deep neural network training which systematically applies sample-based approximation to the constituent tensor operations, i.e., matrix multiplications and convolutions. We introduce new sampling…

机器学习 · 计算机科学 2021-10-27 Menachem Adelman , Kfir Y. Levy , Ido Hakimi , Mark Silberstein

The ever-increasing data demand craves advancements in high-speed and energy-efficient computing hardware. Analog optical neural network (ONN) processors have emerged as a promising solution, offering benefits in bandwidth and energy…

光学 · 物理学 2026-04-07 Chao Luan , Ronald Davis , Zaijun Chen , Dirk Englund , Ryan Hamerly

We propose a method (TT-GP) for approximate inference in Gaussian Process (GP) models. We build on previous scalable GP research including stochastic variational inference based on inducing inputs, kernel interpolation, and structure…

机器学习 · 计算机科学 2018-01-18 Pavel Izmailov , Alexander Novikov , Dmitry Kropotov

Deep Convolutional Neural Networks (DCNNs) commonly use generic `max-pooling' (MP) layers to extract deformation-invariant features, but we argue in favor of a more refined treatment. First, we introduce epitomic convolution as a building…

计算机视觉与模式识别 · 计算机科学 2014-12-02 George Papandreou , Iasonas Kokkinos , Pierre-André Savalle

We consider the prediction of the Hamiltonian matrix, which finds use in quantum chemistry and condensed matter physics. Efficiency and equivariance are two important, but conflicting factors. In this work, we propose a SE(3)-equivariant…

机器学习 · 计算机科学 2023-11-09 Haiyang Yu , Zhao Xu , Xiaofeng Qian , Xiaoning Qian , Shuiwang Ji

Tensor networks (TNs) and neural networks (NNs) are two fundamental data modeling approaches. TNs were introduced to solve the curse of dimensionality in large-scale tensors by converting an exponential number of dimensions to polynomial…

机器学习 · 计算机科学 2025-03-18 Maolin Wang , Yu Pan , Zenglin Xu , Guangxi Li , Xiangli Yang , Danilo Mandic , Andrzej Cichocki

Convolutional Neural Networks(CNN) are inherently equivariant under translations, however, they do not have an equivalent embedded mechanism to handle other transformations such as rotations and change in scale. Several approaches exist…

计算机视觉与模式识别 · 计算机科学 2021-11-30 Naman Khetan , Tushar Arora , Samee Ur Rehman , Deepak K. Gupta

In today's era of smart cyber-physical systems, Deep Neural Networks (DNNs) have become ubiquitous due to their state-of-the-art performance in complex real-world applications. The high computational complexity of these networks, which…

In this work, we firstly apply the Train-Tensor (TT) networks to construct a compact representation of the classical Multilayer Perceptron, representing a reduction of up to 95% of the coefficients. A comparative analysis between tensor…

机器学习 · 计算机科学 2021-03-31 M. Nazareth da Costa , R. Attux , A. Cichocki , J. M. T. Romano

TGraphX presents a novel paradigm in deep learning by unifying convolutional neural networks (CNNs) with graph neural networks (GNNs) to enhance visual reasoning tasks. Traditional CNNs excel at extracting rich spatial features from images…

计算机视觉与模式识别 · 计算机科学 2025-04-08 Arash Sajjadi , Mark Eramian

Graph Convolutional Networks (GCNs) are powerful for processing graph-structured data and have achieved state-of-the-art performance in several tasks such as node classification, link prediction, and graph classification. However, it is…

机器学习 · 计算机科学 2021-10-19 Langzhang Liang , Cuiyun Gao , Shiyi Chen , Shishi Duan , Yu pan , Junjin Zheng , Lei Wang , Zenglin Xu

Machine learning potential (MLP) has been a popular topic in recent years for its potential to replace expensive first-principles calculations in some large systems. Meanwhile, message passing networks have gained significant attention due…

Twisted Convolutional Networks (TCNs) are proposed as a novel deep learning architecture for classifying one-dimensional data with arbitrary feature order and minimal spatial relationships. Unlike conventional Convolutional Neural Networks…

计算机视觉与模式识别 · 计算机科学 2025-12-09 Junbo Jacob Lian , Haoran Chen , Kaichen Ouyang , Yujun Zhang , Rui Zhong , Huiling Chen