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Tensor network algorithms seek to minimize correlations to compress the classical data representing quantum states. Tensor network algorithms and similar tools---called tensor network methods---form the backbone of modern numerical methods…

Quantum Physics · Physics 2021-04-08 Andrey Kardashin , Alexey Uvarov , Jacob Biamonte

Recurrent Neural Networks (RNNs) yield attractive properties for constructing Intrusion Detection Systems (IDSs) for network data. With the rise of ubiquitous Machine Learning (ML) systems, malicious actors have been catching up quickly to…

Machine Learning · Computer Science 2020-10-16 Alexander Hartl , Maximilian Bachl , Joachim Fabini , Tanja Zseby

A deep neural network is a parametrization of a multilayer mapping of signals in terms of many alternatively arranged linear and nonlinear transformations. The linear transformations, which are generally used in the fully connected as well…

Machine Learning · Computer Science 2020-07-01 Ze-Feng Gao , Song Cheng , Rong-Qiang He , Z. Y. Xie , Hui-Hai Zhao , Zhong-Yi Lu , Tao Xiang

Machine learning models have made many decision support systems to be faster, more accurate, and more efficient. However, applications of machine learning in network security face a more disproportionate threat of active adversarial attacks…

Cryptography and Security · Computer Science 2023-03-22 Olakunle Ibitoye , Rana Abou-Khamis , Mohamed el Shehaby , Ashraf Matrawy , M. Omair Shafiq

Recent technological advancements have led to a large number of patents in a diverse range of domains, making it challenging for human experts to analyze and manage. State-of-the-art methods for multi-label patent classification rely on…

Artificial Intelligence · Computer Science 2024-07-30 Md Shajalal , Sebastian Denef , Md. Rezaul Karim , Alexander Boden , Gunnar Stevens

Tensors are multidimensional arrays of numerical values and therefore generalize matrices to multiple dimensions. While tensors first emerged in the psychometrics community in the $20^{\text{th}}$ century, they have since then spread to…

Machine Learning · Statistics 2017-11-30 Stephan Rabanser , Oleksandr Shchur , Stephan Günnemann

Fueled by massive amounts of data, models produced by machine-learning (ML) algorithms, especially deep neural networks, are being used in diverse domains where trustworthiness is a concern, including automotive systems, finance, health…

Machine Learning · Computer Science 2018-05-22 Tommaso Dreossi , Somesh Jha , Sanjit A. Seshia

There has been a large number of studies in interpretable and explainable ML for cybersecurity, in particular, for intrusion detection. Many of these studies have significant amount of overlapping and repeated evaluations and analysis. At…

Cryptography and Security · Computer Science 2024-07-08 Omer Subasi , Johnathan Cree , Joseph Manzano , Elena Peterson

Deep neural networks generalize well on unseen data though the number of parameters often far exceeds the number of training examples. Recently proposed complexity measures have provided insights to understanding the generalizability in…

Machine Learning · Computer Science 2020-05-12 Jingling Li , Yanchao Sun , Jiahao Su , Taiji Suzuki , Furong Huang

In recent years, there has been a significant surge in malware attacks, necessitating more advanced preventive measures and remedial strategies. While several successful AI-based malware classification approaches exist categorized into…

Cryptography and Security · Computer Science 2024-04-22 Quincy Card , Daniel Simpson , Kshitiz Aryal , Maanak Gupta , Sheikh Rabiul Islam

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…

Machine Learning · Computer Science 2025-03-18 Maolin Wang , Yu Pan , Zenglin Xu , Guangxi Li , Xiangli Yang , Danilo Mandic , Andrzej Cichocki

Recent studies have demonstrated that machine learning approaches like deep neural networks (DNNs) are easily fooled by adversarial attacks. Subtle and imperceptible perturbations of the data are able to change the result of deep neural…

Machine Learning · Computer Science 2020-02-25 Negin Entezari , Evangelos E. Papalexakis

Deep neural networks (DNNs) may outperform human brains in complex tasks, but the lack of transparency in their decision-making processes makes us question whether we could fully trust DNNs with high stakes problems. As DNNs' operations…

Machine Learning · Computer Science 2020-03-19 Jung Hoon Lee

The recently introduced locally orderless tensor network (LoTeNet) for supervised image classification uses matrix product state (MPS) operations on grids of transformed image patches. The resulting patch representations are combined back…

Computer Vision and Pattern Recognition · Computer Science 2021-03-22 Raghavendra Selvan , Silas Ørting , Erik B Dam

High-dimensional data arise naturally in many areas of science and engineering, including machine learning, signal processing, computational physics, and statistics. Such data are often represented as tensors, multi-dimensional…

Machine Learning · Computer Science 2026-05-19 Beheshteh T. Rakhshan , Guillaume Rabusseau

Tensor networks, which have been traditionally used to simulate many-body physics, have recently gained significant attention in the field of machine learning due to their powerful representation capabilities. In this work, we propose a…

Machine Learning · Computer Science 2023-02-02 Xiao Shi , Yun Shang

Machine-learning interatomic potentials (MLIPs) have made a significant contribution to the recent progress in the fields of computational materials and chemistry due to the MLIPs' ability of accurately approximating energy landscapes of…

Computational Physics · Physics 2024-09-20 Max Hodapp , Alexander Shapeev

Deep neural networks (DNNs) have proven to be quite effective in a vast array of machine learning tasks, with recent examples in cyber security and autonomous vehicles. Despite the superior performance of DNNs in these applications, it has…

Machine Learning · Computer Science 2017-08-22 Qinglong Wang , Wenbo Guo , Kaixuan Zhang , Alexander G. Ororbia , Xinyu Xing , Xue Liu , C. Lee Giles

This paper introduces matrix product state (MPS) decomposition as a new and systematic method to compress multidimensional data represented by higher-order tensors. It solves two major bottlenecks in tensor compression: computation and…

Machine Learning · Statistics 2017-08-02 Johann A. Bengua , Ho N. Phien , Hoang D. Tuan , Minh N. Do

Tensor networks are used to efficiently approximate states of strongly-correlated quantum many-body systems. More generally, tensor network approximations may allow to reduce the costs for operating on an order-$N$ tensor from exponential…

Strongly Correlated Electrons · Physics 2022-05-31 Hao Chen , Thomas Barthel
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