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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…

Machine Learning · Statistics 2017-08-03 Masaaki Imaizumi , Takanori Maehara , Kohei Hayashi

With the advances in data acquisition technology, tensor objects are collected in a variety of applications including multimedia, medical and hyperspectral imaging. As the dimensionality of tensor objects is usually very high,…

Image and Video Processing · Electrical Eng. & Systems 2019-11-06 Seyyid Emre Sofuoglu , Selin Aviyente

The proliferation of large-scale and structurally complex data has spurred the integration of machine learning methods into statistical modeling. Recurrent neural networks (RNNs), a foundational class of models for time-dependent data, can…

Machine Learning · Statistics 2026-05-05 Yuxi Cai , Lan Li , Feiqing Huang , Guodong Li

Traditional Recurrent Neural Network (RNN) architectures, such as LSTM and GRU, have historically held prominence in time series tasks. However, they have recently seen a decline in their dominant position across various time series tasks.…

Machine Learning · Computer Science 2024-01-18 Haowen Hou , F. Richard Yu

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

Recently, a tensor-on-tensor (ToT) regression model has been proposed to generalize tensor recovery, encompassing scenarios like scalar-on-tensor regression and tensor-on-vector regression. However, the exponential growth in tensor…

Machine Learning · Computer Science 2025-05-02 Zhen Qin , Zhihui Zhu

Two potential bottlenecks on the expressiveness of recurrent neural networks (RNNs) are their ability to store information about the task in their parameters, and to store information about the input history in their units. We show…

Machine Learning · Statistics 2017-03-06 Jasmine Collins , Jascha Sohl-Dickstein , David Sussillo

This paper investigates deep neural network (DNN) compression from the perspective of compactly representing and storing trained parameters. We explore the previously overlooked opportunity of cross-layer architecture-agnostic…

Computer Vision and Pattern Recognition · Computer Science 2021-11-22 Yuezhou Sun , Wenlong Zhao , Lijun Zhang , Xiao Liu , Hui Guan , Matei Zaharia

Deep neural networks (DNNs) have achieved outstanding performance in a wide range of applications, e.g., image classification, natural language processing, etc. Despite the good performance, the huge number of parameters in DNNs brings…

Machine Learning · Computer Science 2020-12-21 Jinmian Ye , Guangxi Li , Di Chen , Haiqin Yang , Shandian Zhe , Zenglin Xu

Long short-term memory (LSTM) recurrent neural networks (RNNs) have been shown to give state-of-the-art performance on many speech recognition tasks, as they are able to provide the learned dynamically changing contextual window of all…

Computation and Language · Computer Science 2016-10-12 Xiangang Li , Xihong Wu

We present a novel tensor network algorithm to solve the time-dependent, gray thermal radiation transport equation. The method invokes a tensor train (TT) decomposition for the specific intensity. The efficiency of this approach is dictated…

Instrumentation and Methods for Astrophysics · Physics 2025-03-25 Alex A. Gorodetsky , Patrick D. Mullen , Aditya Deshpande , Joshua C. Dolence , Chad D. Meyer , Jonah M. Miller , Luke F. Roberts

Recurrent neural networks (RNNs) have shown excellent performance in processing sequence data. However, they are both complex and memory intensive due to their recursive nature. These limitations make RNNs difficult to embed on mobile…

Machine Learning · Computer Science 2019-01-28 Arash Ardakani , Zhengyun Ji , Sean C. Smithson , Brett H. Meyer , Warren J. Gross

Recurrent neural networks (RNNs), including long short-term memory (LSTM) RNNs, have produced state-of-the-art results on a variety of speech recognition tasks. However, these models are often too large in size for deployment on mobile…

Machine Learning · Computer Science 2016-04-12 Zhiyun Lu , Vikas Sindhwani , Tara N. Sainath

Quantum Recurrent Neural Networks (QRNNs) are robust candidates for modelling and predicting future values in multivariate time series. However, the effective implementation of some QRNN models is limited by the need for mid-circuit…

Quantum Physics · Physics 2025-01-31 José Daniel Viqueira , Daniel Faílde , Mariamo M. Juane , Andrés Gómez , David Mera

Recurrent neural networks with a gating mechanism such as an LSTM or GRU are powerful tools to model sequential data. In the mechanism, a forget gate, which was introduced to control information flow in a hidden state in the RNN, has…

Machine Learning · Statistics 2021-11-08 Kentaro Ohno , Atsutoshi Kumagai

Convolutional neural networks (CNNs) are among the most widely used machine learning models for computer vision tasks, such as image classification. To improve the efficiency of CNNs, many CNNs compressing approaches have been developed.…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Mateusz Gabor , Rafał Zdunek

The era of exascale computing opens new venues for innovations and discoveries in many scientific, engineering, and commercial fields. However, with the exaflops also come the extra-large high-dimensional data generated by high-performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-05 Manish Bhattarai , Gopinath Chennupati , Erik Skau , Raviteja Vangara , Hirsto Djidjev , Boian Alexandrov

Discrete tensor train decomposition is widely employed to mitigate the curse of dimensionality in solving high-dimensional PDEs through traditional methods. However, the direct application of the tensor train method typically requires…

Numerical Analysis · Mathematics 2025-10-16 Yani Feng , Michael K. Ng , Kejun Tang , Zhiwen Zhang

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

Recent advances in deep learning have made available large, powerful convolutional neural networks (CNN) with state-of-the-art performance in several real-world applications. Unfortunately, these large-sized models have millions of…

Machine Learning · Computer Science 2020-07-17 Giosuè Cataldo Marinò , Gregorio Ghidoli , Marco Frasca , Dario Malchiodi
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