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An increasing number of emerging applications in data science and engineering are based on multidimensional and structurally rich data. The irregularities, however, of high-dimensional data often compromise the effectiveness of standard…

The tensor-train (TT) format is a data-sparse tensor representation commonly used in high dimensional data approximations. In order to represent data with interpretability in data science, researchers develop data-centric skeletonized low…

数值分析 · 数学 2026-02-10 Daniel Hayes , Jing-Mei Qiu , Tianyi Shi

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…

数值分析 · 数学 2025-11-07 Renfeng Peng , Chengkai Zhu , Bin Gao , Xin Wang , Ya-xiang Yuan

Data are often sampled irregularly in time. Dealing with this using Recurrent Neural Networks (RNNs) traditionally involved ignoring the fact, feeding the time differences as additional inputs, or resampling the data. All these methods have…

机器学习 · 计算机科学 2024-07-03 Mantas Lukoševičius , Arnas Uselis

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…

机器学习 · 计算机科学 2025-10-01 Frieder Stolzenburg , Sandra Litz , Olivia Michael , Oliver Obst

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…

机器学习 · 计算机科学 2025-05-12 Yifan Zhou , Yibo Wang , Chao Shang

The use of future contextual information is typically shown to be helpful for acoustic modeling. However, for the recurrent neural network (RNN), it's not so easy to model the future temporal context effectively, meanwhile keep lower model…

计算与语言 · 计算机科学 2018-05-21 Jie Li , Xiaorui Wang , Yuanyuan Zhao , Yan Li

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…

机器学习 · 计算机科学 2020-10-07 Jinyung Hong , Theodore P. Pavlic

Estimation of probability density function from samples is one of the central problems in statistics and machine learning. Modern neural network-based models can learn high dimensional distributions but have problems with hyperparameter…

机器学习 · 计算机科学 2022-02-28 Georgii S. Novikov , Maxim E. Panov , Ivan V. Oseledets

There is a growing interest in the speech community in developing Recurrent Neural Network Transducer (RNN-T) models for automatic speech recognition (ASR) applications. RNN-T is trained with a loss function that does not enforce temporal…

计算与语言 · 计算机科学 2020-11-20 Jay Mahadeokar , Yuan Shangguan , Duc Le , Gil Keren , Hang Su , Thong Le , Ching-Feng Yeh , Christian Fuegen , Michael L. Seltzer

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

Several variants of recurrent neural networks (RNNs) with orthogonal or unitary recurrent matrices have recently been developed to mitigate the vanishing/exploding gradient problem and to model long-term dependencies of sequences. However,…

机器学习 · 计算机科学 2019-11-20 Kyle Helfrich , Qiang Ye

Sequence prediction and classification are ubiquitous and challenging problems in machine learning that can require identifying complex dependencies between temporally distant inputs. Recurrent Neural Networks (RNNs) have the ability, in…

神经与进化计算 · 计算机科学 2014-02-17 Jan Koutník , Klaus Greff , Faustino Gomez , Jürgen Schmidhuber

In this work, we present the tree tensor network Nystr\"om (TTNN), an algorithm that extends recent research on streamable tensor approximation, such as for Tucker and tensor-train formats, to the more general tree tensor network format,…

数值分析 · 数学 2024-12-10 Alberto Bucci , Gianfranco Verzella

Recurrent neural networks (RNNs) such as long short-term memory and gated recurrent units are pivotal building blocks across a broad spectrum of sequence modeling problems. This paper proposes a recurrently controlled recurrent network…

计算与语言 · 计算机科学 2018-11-27 Yi Tay , Luu Anh Tuan , Siu Cheung Hui

Recurrent Neural Networks (RNN) are known as powerful models for handling sequential data, and especially widely utilized in various natural language processing tasks. In this paper, we propose Contextual Recurrent Units (CRU) for enhancing…

计算与语言 · 计算机科学 2019-11-15 Yiming Cui , Wei-Nan Zhang , Wanxiang Che , Ting Liu , Zhipeng Chen , Shijin Wang , Guoping Hu

The embedding layers transforming input words into real vectors are the key components of deep neural networks used in natural language processing. However, when the vocabulary is large, the corresponding weight matrices can be enormous,…

计算与语言 · 计算机科学 2020-02-20 Oleksii Hrinchuk , Valentin Khrulkov , Leyla Mirvakhabova , Elena Orlova , Ivan Oseledets

Artificial Neural Networks (NNWs) are appealing functions to substitute high dimensional and non-linear history-dependent problems in computational mechanics since they offer the possibility to drastically reduce the computational time.…

计算工程、金融与科学 · 计算机科学 2023-10-11 Ling Wu , Ludovic Noels

This work aims to help resolve the two main stumbling blocks in the application of Deep Neural Networks (DNNs), that is, the exceedingly large number of trainable parameters and their physical interpretability. This is achieved through a…

机器学习 · 计算机科学 2020-01-07 Giuseppe G. Calvi , Ahmad Moniri , Mahmoud Mahfouz , Qibin Zhao , Danilo P. Mandic

Recurrent neural networks (RNNs) have been widely adopted in temporal sequence analysis, where realtime performance is often in demand. However, RNNs suffer from heavy computational workload as the model often comes with large weight…

分布式、并行与集群计算 · 计算机科学 2020-05-13 Runbin Shi , Peiyan Dong , Tong Geng , Yuhao Ding , Xiaolong Ma , Hayden K. -H. So , Martin Herbordt , Ang Li , Yanzhi Wang