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Contemporary wisdom based on empirical studies suggests that standard recurrent neural networks (RNNs) do not perform well on tasks requiring long-term memory. However, precise reasoning for this behavior is still unknown. This paper…

Machine Learning · Computer Science 2021-01-21 Melikasadat Emami , Mojtaba Sahraee-Ardakan , Parthe Pandit , Sundeep Rangan , Alyson K. Fletcher

We introduce a deep residual recurrent neural network (DR-RNN) as an efficient model reduction technique for nonlinear dynamical systems. The developed DR-RNN is inspired by the iterative steps of line search methods in finding the residual…

Computational Engineering, Finance, and Science · Computer Science 2017-09-05 J. Nagoor Kani , Ahmed H. Elsheikh

In the last decade, Convolutional Neural Network with a multi-layer architecture has advanced rapidly. However, training its complex network is very space-consuming, since a lot of intermediate data are preserved across layers, especially…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-23 Zhigang Wang , Hangyu Yang , Ning Wang , Chuanfei Xu , Jie Nie , Zhiqiang Wei , Yu Gu , Ge Yu

Convolutional Neural Networks (CNNs) have become indispensable for solving machine learning tasks in speech recognition, computer vision, and other areas that involve high-dimensional data. A CNN filters the input feature using a network…

Machine Learning · Computer Science 2020-02-13 Jonathan Ephrath , Moshe Eliasof , Lars Ruthotto , Eldad Haber , Eran Treister

Simple recurrent neural networks (RNNs) and their more advanced cousins LSTMs etc. have been very successful in sequence modeling. Their theoretical understanding, however, is lacking and has not kept pace with the progress for feedforward…

Machine Learning · Computer Science 2021-06-02 Abhishek Panigrahi , Navin Goyal

Modern sensing and metrology systems now stream terabytes of heterogeneous, high-dimensional (HD) data profiles, images, and dense point clouds, whose natural representation is multi-way tensors. Understanding such data requires regression…

Machine Learning · Computer Science 2025-10-08 Qian Wang , Mohammad N. Bisheh , Kamran Paynabar

The Linear Representation Hypothesis (LRH) states that neural networks learn to encode concepts as directions in activation space, and a strong version of the LRH states that models learn only such encodings. In this paper, we present a…

Machine Learning · Computer Science 2024-08-21 Róbert Csordás , Christopher Potts , Christopher D. Manning , Atticus Geiger

Inspired by the principles of speed reading, we introduce Skim-RNN, a recurrent neural network (RNN) that dynamically decides to update only a small fraction of the hidden state for relatively unimportant input tokens. Skim-RNN gives…

Computation and Language · Computer Science 2018-03-30 Minjoon Seo , Sewon Min , Ali Farhadi , Hannaneh Hajishirzi

The computation and storage requirements for Deep Neural Networks (DNNs) are usually high. This issue limits their deployability on ubiquitous computing devices such as smart phones, wearables and autonomous drones. In this paper, we…

Machine Learning · Computer Science 2017-02-28 Hande Alemdar , Vincent Leroy , Adrien Prost-Boucle , Frédéric Pétrot

Recurrent Neural Networks (RNN) are a type of statistical model designed to handle sequential data. The model reads a sequence one symbol at a time. Each symbol is processed based on information collected from the previous symbols. With…

Machine Learning · Statistics 2019-02-18 Jared Ostmeyer , Lindsay Cowell

We consider artificial neurons which will update their weight coefficients with an internal rule based on backpropagation, rather than using it as an external training procedure. To achieve this we include the backpropagation error estimate…

Neural and Evolutionary Computing · Computer Science 2018-08-07 M. N. Nazarov

Recurrent neural networks have shown excellent performance in many applications, however they require increased complexity in hardware or software based implementations. The hardware complexity can be much lowered by minimizing the…

Machine Learning · Computer Science 2016-09-28 Sungho Shin , Kyuyeon Hwang , Wonyong Sung

Recurrent neural networks (RNNs) have been widely used for processing sequential data. However, RNNs are commonly difficult to train due to the well-known gradient vanishing and exploding problems and hard to learn long-term patterns. Long…

Computer Vision and Pattern Recognition · Computer Science 2019-10-15 Shuai Li , Wanqing Li , Chris Cook , Ce Zhu , Yanbo Gao

Designing deep neural networks is an art that often involves an expensive search over candidate architectures. To overcome this for recurrent neural nets (RNNs), we establish a connection between the hidden state dynamics in an RNN and…

Machine Learning · Computer Science 2021-12-14 Tan M. Nguyen , Richard G. Baraniuk , Andrea L. Bertozzi , Stanley J. Osher , Bao Wang

Classical neural network approximation results take the form: for every function $f$ and every error tolerance $\epsilon > 0$, one constructs a neural network whose architecture and weights depend on $\epsilon$. This paper introduces a…

Neural and Evolutionary Computing · Computer Science 2025-11-20 Clemens Hutter , Valentin Abadie , Helmut Bölcskei

Transformers process tokens in parallel but are temporally shallow: at position $t$, each layer attends to key-value pairs computed based on the previous layer, yielding a depth capped by the number of layers. Recurrent models offer…

Machine Learning · Computer Science 2026-04-24 Costin-Andrei Oncescu , Depen Morwani , Samy Jelassi , Alexandru Meterez , Mujin Kwun , Sham Kakade

Ability of deep networks to extract high level features and of recurrent networks to perform time-series inference have been studied. In view of universality of one hidden layer network at approximating functions under weak constraints, the…

Neural and Evolutionary Computing · Computer Science 2014-12-19 Sharat C. Prasad , Piyush Prasad

Biological visual systems exhibit abundant recurrent connectivity. State-of-the-art neural network models for visual recognition, by contrast, rely heavily or exclusively on feedforward computation. Any finite-time recurrent neural network…

Neurons and Cognition · Quantitative Biology 2020-12-09 Ruben S. van Bergen , Nikolaus Kriegeskorte

Supervised Continual learning involves updating a deep neural network (DNN) from an ever-growing stream of labeled data. While most work has focused on overcoming catastrophic forgetting, one of the major motivations behind continual…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Md Yousuf Harun , Jhair Gallardo , Tyler L. Hayes , Christopher Kanan

Echo State Networks (ESNs) are a particular type of untrained Recurrent Neural Networks (RNNs) within the Reservoir Computing (RC) framework, popular for their fast and efficient learning. However, traditional ESNs often struggle with…

Machine Learning · Computer Science 2026-01-30 Matteo Pinna , Andrea Ceni , Claudio Gallicchio
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