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This paper addresses the difficult problem of finding an optimal neural architecture design for a given image classification task. We propose a method that aggregates two main results of the previous state-of-the-art in neural architecture…

计算机视觉与模式识别 · 计算机科学 2018-08-02 Juan-Manuel Perez-Rua , Moez Baccouche , Stephane Pateux

The efficient evaluation of tensor expressions involving sums over multiple indices is of significant importance to many fields of research, including quantum many-body physics, loop quantum gravity, and quantum chemistry. The computational…

强关联电子 · 物理学 2015-12-25 Robert N. C. Pfeifer , Jutho Haegeman , Frank Verstraete

Tensor network decompositions of path integrals for simulating open quantum systems have recently been proven to be useful. However, these methods scale exponentially with the system size. This makes it challenging to simulate the…

量子物理 · 物理学 2022-01-11 Amartya Bose , Peter L. Walters

Compressed sensing extends from the recovery of sparse vectors from undersampled measurements via efficient algorithms to the recovery of matrices of low rank from incomplete information. Here we consider a further extension to the…

数值分析 · 数学 2014-11-04 Holger Rauhut , Reinhold Schneider , Zeljka Stojanac

We propose tensor-network compressed sensing (TNCS) by combining the ideas of compressed sensing, tensor network (TN), and machine learning, which permits novel and efficient quantum communications of realistic data. The strategy is to use…

机器学习 · 统计学 2020-09-02 Shi-Ju Ran , Zheng-Zhi Sun , Shao-Ming Fei , Gang Su , Maciej Lewenstein

Mining massive spatio-temporal data can help a variety of real-world applications such as city capacity planning, event management, and social network analysis. The tensor representation can be used to capture the correlation between space…

机器学习 · 计算机科学 2020-06-23 Jing Ma , Qiuchen Zhang , Joyce C. Ho , Li Xiong

Tensor train (TT) decomposition provides a space-efficient representation for higher-order tensors. Despite its advantage, we face two crucial limitations when we apply the TT decomposition to machine learning problems: the lack of…

机器学习 · 统计学 2017-08-03 Masaaki Imaizumi , Takanori Maehara , Kohei Hayashi

Part 2 of this monograph builds on the introduction to tensor networks and their operations presented in Part 1. It focuses on tensor network models for super-compressed higher-order representation of data/parameters and related cost…

数值分析 · 计算机科学 2017-08-31 A. Cichocki , A-H. Phan , Q. Zhao , N. Lee , I. V. Oseledets , M. Sugiyama , D. Mandic

Higher-order tensors have received increased attention across science and engineering. While most tensor decomposition methods are developed for a single tensor observation, scientific studies often collect side information, in the form of…

统计方法学 · 统计学 2021-10-29 Jiaxin Hu , Chanwoo Lee , Miaoyan Wang

Most currently used tensor regression models for high-dimensional data are based on Tucker decomposition, which has good properties but loses its efficiency in compressing tensors very quickly as the order of tensors increases, say greater…

统计方法学 · 统计学 2024-03-20 Yuefeng Si , Yingying Zhang , Yuxi Cai , Chunling Liu , Guodong Li

Recently, a new frontier in computing has emerged with physical neural networks(PNNs) harnessing intrinsic physical processes for learning. Here, we explore topological mechanical neural networks(TMNNs) inspired by the quantum spin Hall…

无序系统与神经网络 · 物理学 2025-03-12 Shuaifeng Li , Xiaoming Mao

We propose a new method for low-rank approximation of Moore-Penrose pseudoinverses (MPPs) of large-scale matrices using tensor networks. The computed pseudoinverses can be useful for solving or preconditioning of large-scale overdetermined…

数值分析 · 数学 2016-07-06 Namgil Lee , Andrzej Cichocki

Due to the explosive growth of large-scale data sets, tensors have been a vital tool to analyze and process high-dimensional data. Different from the matrix case, tensor decomposition has been defined in various formats, which can be…

最优化与控制 · 数学 2023-12-27 Rachel Grotheer , Shuang Li , Anna Ma , Deanna Needell , Jing Qin

Feature selection is a crucial step in machine learning, especially for high-dimensional datasets, where irrelevant and redundant features can degrade model performance and increase computational costs. This paper proposes a novel…

神经与进化计算 · 计算机科学 2024-10-30 Azam Asilian Bidgoli , Shahryar Rahnamayan

The automation of neural architecture design has been a coveted alternative to human experts. Recent works have small search space, which is easier to optimize but has a limited upper bound of the optimal solution. Extra human design is…

计算机视觉与模式识别 · 计算机科学 2021-08-19 Yuanzheng Ci , Chen Lin , Ming Sun , Boyu Chen , Hongwen Zhang , Wanli Ouyang

In this paper we propose new techniques to sample arbitrary third-order tensors, with an objective of speeding up tensor algorithms that have recently gained popularity in machine learning. Our main contribution is a new way to select, in a…

机器学习 · 统计学 2015-02-23 Srinadh Bhojanapalli , Sujay Sanghavi

Text-based person search (TBPS) aims to retrieve images of a specific person from a large image gallery based on a natural language description. Existing methods rely on massive annotated image-text data to achieve satisfactory performance…

计算机视觉与模式识别 · 计算机科学 2024-04-30 Daming Gao , Yang Bai , Min Cao , Hao Dou , Mang Ye , Min Zhang

Spiking Neural Networks (SNNs) have gained significant attention as a potentially energy-efficient alternative for standard neural networks with their sparse binary activation. However, SNNs suffer from memory and computation overhead due…

神经与进化计算 · 计算机科学 2026-03-09 Donghyun Lee , Ruokai Yin , Youngeun Kim , Abhishek Moitra , Yuhang Li , Priyadarshini Panda

Techniques for automatically designing deep neural network architectures such as reinforcement learning based approaches have recently shown promising results. However, their success is based on vast computational resources (e.g. hundreds…

机器学习 · 计算机科学 2017-11-22 Han Cai , Tianyao Chen , Weinan Zhang , Yong Yu , Jun Wang

Recently, the community search problem has attracted significant attention, due to its wide spectrum of real-world applications such as event organization, friend recommendation, advertisement in e-commence, and so on. Given a query vertex,…

数据库 · 计算机科学 2021-11-29 Ahmed Al-Baghdadi , Xiang Lian
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