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Even though sequence-to-sequence neural machine translation (NMT) model have achieved state-of-art performance in the recent fewer years, but it is widely concerned that the recurrent neural network (RNN) units are very hard to capture the…

Computation and Language · Computer Science 2018-05-28 Wen Zhang , Jiawei Hu , Yang Feng , Qun Liu

Tensor Networks (TN) offer a powerful framework to efficiently represent very high-dimensional objects. TN have recently shown their potential for machine learning applications and offer a unifying view of common tensor decomposition models…

Machine Learning · Computer Science 2021-06-24 Meraj Hashemizadeh , Michelle Liu , Jacob Miller , Guillaume Rabusseau

The state-of-the-art deep neural networks (DNNs) have been widely applied for various real-world applications, and achieved significant performance for cognitive problems. However, the increment of DNNs' width and depth in architecture…

Machine Learning · Computer Science 2021-11-15 Xiao Peng Li , Qi Liu , Hing Cheung So

Tensors with unit Frobenius norm are fundamental objects in many fields, including scientific computing and quantum physics, which are able to represent normalized eigenvectors and pure quantum states. While the tensor train decomposition…

Numerical Analysis · Mathematics 2025-11-07 Renfeng Peng , Chengkai Zhu , Bin Gao , Xin Wang , Ya-xiang Yuan

Recurrent Neural Network (RNN) and its variations such as Long Short-Term Memory (LSTM) and Gated Recurrent Unit (GRU), have become standard building blocks for learning online data of sequential nature in many research areas, including…

Computation and Language · Computer Science 2020-05-12 Enmao Diao , Jie Ding , Vahid Tarokh

Recurrent neural networks have proved to be an effective method for statistical language modeling. However, in practice their memory and run-time complexity are usually too large to be implemented in real-time offline mobile applications.…

Computation and Language · Computer Science 2019-04-09 Artem M. Grachev , Dmitry I. Ignatov , Andrey V. Savchenko

Recent advances in machine learning have led to a surge in adoption of neural networks for various tasks, but lack of interpretability remains an issue for many others in which an understanding of the features influencing the prediction is…

We present recurrent transformer networks (RTNs) for obtaining dense correspondences between semantically similar images. Our networks accomplish this through an iterative process of estimating spatial transformations between the input…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Seungryong Kim , Stephen Lin , Sangryul Jeon , Dongbo Min , Kwanghoon Sohn

Second-order Recurrent Neural Networks (2RNNs) extend RNNs by leveraging second-order interactions for sequence modelling. These models are provably more expressive than their first-order counterparts and have connections to well-studied…

Machine Learning · Computer Science 2024-06-10 Maude Lizaire , Michael Rizvi-Martel , Marawan Gamal Abdel Hameed , Guillaume Rabusseau

Machine learning-based methods have achieved successful applications in machinery fault diagnosis. However, the main limitation that exists for these methods is that they operate as a black box and are generally not interpretable. This…

Machine Learning · Computer Science 2022-04-20 Gang Chen , Yu Lu , Rong Su , Zhaodan Kong

Advanced tensor decomposition, such as Tensor train (TT) and Tensor ring (TR), has been widely studied for deep neural network (DNN) model compression, especially for recurrent neural networks (RNNs). However, compressing convolutional…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Miao Yin , Yang Sui , Siyu Liao , Bo Yuan

Previous works on the Recurrent Neural Network-Transducer (RNN-T) models have shown that, under some conditions, it is possible to simplify its prediction network with little or no loss in recognition accuracy (arXiv:2003.07705 [eess.AS],…

Computation and Language · Computer Science 2021-09-17 Rami Botros , Tara N. Sainath , Robert David , Emmanuel Guzman , Wei Li , Yanzhang He

Many real-world datasets are time series that are sequentially collected and contain rich temporal information. Thus, a common interest in practice is to capture dynamics of time series and predict their future evolutions. To this end, the…

Machine Learning · Computer Science 2025-05-12 Yifan Zhou , Yibo Wang , Chao Shang

Recurrent Neural Networks (RNN) have obtained excellent result in many natural language processing (NLP) tasks. However, understanding and interpreting the source of this success remains a challenge. In this paper, we propose Recurrent…

Computation and Language · Computer Science 2016-04-25 Ke Tran , Arianna Bisazza , Christof Monz

Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. More recently, as deep…

Methodology · Statistics 2018-02-08 Patrick L. McDermott , Christopher K. Wikle

Recurrent neural networks are a powerful means to cope with time series. We show how autoregressive linear, i.e., linearly activated recurrent neural networks (LRNNs) can approximate any time-dependent function f(t). The approximation can…

Machine Learning · Computer Science 2025-10-01 Frieder Stolzenburg , Sandra Litz , Olivia Michael , Oliver Obst

Many machine learning tasks can be expressed as the transformation---or \emph{transduction}---of input sequences into output sequences: speech recognition, machine translation, protein secondary structure prediction and text-to-speech to…

Neural and Evolutionary Computing · Computer Science 2012-11-16 Alex Graves

Neural Tensor Networks (NTNs), which are structured to encode the degree of relationship among pairs of entities, are used in Logic Tensor Networks (LTNs) to facilitate Statistical Relational Learning (SRL) in first-order logic. In this…

Machine Learning · Computer Science 2020-10-07 Jinyung Hong , Theodore P. Pavlic

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…

Numerical Analysis · Computer Science 2017-08-31 A. Cichocki , A-H. Phan , Q. Zhao , N. Lee , I. V. Oseledets , M. Sugiyama , D. Mandic

Recurrent neural networks (RNNs) are state-of-the-art in several sequential learning tasks, but they often require considerable amounts of data to generalise well. For many time series forecasting (TSF) tasks, only a few dozens of…

Machine Learning · Computer Science 2020-03-30 Bernardo Pérez Orozco , Stephen J Roberts
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