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Low-rank matrices play a fundamental role in modeling and computational methods for signal processing and machine learning. In many applications where low-rank matrices arise, these matrices cannot be fully sampled or directly observed, and…

Information Theory · Computer Science 2016-05-25 Mark A. Davenport , Justin Romberg

Model pruning seeks to induce sparsity in a deep neural network's various connection matrices, thereby reducing the number of nonzero-valued parameters in the model. Recent reports (Han et al., 2015; Narang et al., 2017) prune deep networks…

Machine Learning · Statistics 2017-11-15 Michael Zhu , Suyog Gupta

Low Rank Decomposition (LRD) is a model compression technique applied to the weight tensors of deep learning models in order to reduce the number of trainable parameters and computational complexity. However, due to high number of new…

Machine Learning · Computer Science 2025-05-27 Habib Hajimolahoseini , Walid Ahmed , Yang Liu

The goal of this paper is to analyze Long Short Term Memory (LSTM) neural networks from a dynamical system perspective. The classical recursive equations describing the evolution of LSTM can be recast in state space form, resulting in a…

Systems and Control · Electrical Eng. & Systems 2020-05-29 Fabio Bonassi , Enrico Terzi , Marcello Farina , Riccardo Scattolini

Nowadays, the availability of large-scale data in disparate application domains urges the deployment of sophisticated tools for extracting valuable knowledge out of this huge bulk of information. In that vein, low-rank representations…

Machine Learning · Computer Science 2017-10-06 Paris V. Giampouras , Athanasios A. Rontogiannis , Konstantinos D. Koutroumbas

Recurrent neural networks (RNNs) have achieved state-of-the-art performance on many diverse tasks, from machine translation to surgical activity recognition, yet training RNNs to capture long-term dependencies remains difficult. To date,…

Neural and Evolutionary Computing · Computer Science 2018-04-24 Robert DiPietro , Christian Rupprecht , Nassir Navab , Gregory D. Hager

Previous RNN architectures have largely been superseded by LSTM, or "Long Short-Term Memory". Since its introduction, there have been many variations on this simple design. However, it is still widely used and we are not aware of a…

Neural and Evolutionary Computing · Computer Science 2017-04-03 Andrew Pulver , Siwei Lyu

Recurrent Neural Networks (RNNs) have long been recognized for their potential to model complex time series. However, it remains to be determined what optimization techniques and recurrent architectures can be used to best realize this…

Machine Learning · Statistics 2015-10-19 Ben Krause

The standard LSTM, although it succeeds in the modeling long-range dependences, suffers from a highly complex structure that can be simplified through modifications to its gate units. This paper was to perform an empirical comparison…

Neural and Evolutionary Computing · Computer Science 2016-12-13 Yuzhen Lu

Large language models (LLMs) show excellent performance in difficult tasks, but they often require massive memories and computational resources. How to reduce the parameter scale of LLMs has become research hotspots. In this study, we make…

Machine Learning · Computer Science 2024-04-16 Guangyan Li , Yongqiang Tang , Wensheng Zhang

The combination of the sparse sampling and the low-rank structured matrix reconstruction has shown promising performance, enabling a significant reduction of the magnetic resonance imaging data acquisition time. However, the low-rank…

Image and Video Processing · Electrical Eng. & Systems 2021-07-27 Xinlin Zhang , Hengfa Lu , Di Guo , Zongying Lai , Huihui Ye , Xi Peng , Bo Zhao , Xiaobo Qu

Nowadays, modern earth observation programs produce huge volumes of satellite images time series (SITS) that can be useful to monitor geographical areas through time. How to efficiently analyze such kind of information is still an open…

Computer Vision and Pattern Recognition · Computer Science 2017-11-22 Dino Ienco , Raffaele Gaetano , Claire Dupaquier , Pierre Maurel

Despite achieving state-of-the-art performance, deep learning methods generally require a large amount of labeled data during training and may suffer from overfitting when the sample size is small. To ensure good generalizability of deep…

Computer Vision and Pattern Recognition · Computer Science 2020-06-30 Xiaoxu Li , Liyun Yu , Xiaochen Yang , Zhanyu Ma , Jing-Hao Xue , Jie Cao , Jun Guo

Recurrent Neural Networks (RNNs), more specifically their Long Short-Term Memory (LSTM) variants, have been widely used as a deep learning tool for tackling sequence-based learning tasks in text and speech. Training of such LSTM…

Machine Learning · Computer Science 2021-06-24 Anup Sarma , Sonali Singh , Huaipan Jiang , Rui Zhang , Mahmut T Kandemir , Chita R Das

In our previous work we have shown that resistive cross point devices, so called Resistive Processing Unit (RPU) devices, can provide significant power and speed benefits when training deep fully connected networks as well as convolutional…

Machine Learning · Computer Science 2023-02-17 Tayfun Gokmen , Malte Rasch , Wilfried Haensch

This article is an extended version of previous work of the authors [40, 41] on low-rank matrix estimation in the presence of constraints on the factors into which the matrix is factorized. Low-rank matrix factorization is one of the basic…

Statistics Theory · Mathematics 2017-08-28 Thibault Lesieur , Florent Krzakala , Lenka Zdeborová

Recurrent neural networks (RNNs) have shown clear superiority in sequence modeling, particularly the ones with gated units, such as long short-term memory (LSTM) and gated recurrent unit (GRU). However, the dynamic properties behind the…

Machine Learning · Computer Science 2017-02-28 Zhiyuan Tang , Ying Shi , Dong Wang , Yang Feng , Shiyue Zhang

Long Short-Term Memory Recurrent Neural Networks (LSTM-RNN) are one of the most powerful dynamic classifiers publicly known. The network itself and the related learning algorithms are reasonably well documented to get an idea how it works.…

Neural and Evolutionary Computing · Computer Science 2019-09-23 Ralf C. Staudemeyer , Eric Rothstein Morris

Low-rank approximation is a fundamental technique in modern data analysis, widely utilized across various fields such as signal processing, machine learning, and natural language processing. Despite its ubiquity, the mechanics of low-rank…

Machine Learning · Computer Science 2024-08-13 Jun Lu

Recent large language models (LLMs) employ billions of parameters to enable broad problem-solving capabilities. Such language models also tend to be memory-bound because of the dominance of matrix-vector and matrix-matrix multiplications…

Machine Learning · Computer Science 2024-10-24 Chakshu Moar , Faraz Tahmasebi , Michael Pellauer , Hyoukjun Kwon