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We study the approximation properties and optimization dynamics of recurrent neural networks (RNNs) when applied to learn input-output relationships in temporal data. We consider the simple but representative setting of using…

Machine Learning · Computer Science 2024-09-02 Zhong Li , Jiequn Han , Weinan E , Qianxiao Li

The RNN-Transducer (RNN-T) framework for speech recognition has been growing in popularity, particularly for deployed real-time ASR systems, because it combines high accuracy with naturally streaming recognition. One of the drawbacks of…

Audio and Speech Processing · Electrical Eng. & Systems 2022-06-28 Fangjun Kuang , Liyong Guo , Wei Kang , Long Lin , Mingshuang Luo , Zengwei Yao , Daniel Povey

Training recurrent neural networks (RNNs) with backpropagation through time (BPTT) has known drawbacks such as being difficult to capture longterm dependencies in sequences. Successful alternatives to BPTT have not yet been discovered.…

Machine Learning · Computer Science 2022-06-06 Fangxin Shang , Hao Zhang

Recurrent neural networks (RNNs) are known to be universal approximators of dynamic systems under fairly mild and general assumptions. However, RNNs usually suffer from the issues of vanishing and exploding gradients in standard RNN…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Shashank Jere , Lizhong Zheng , Karim Said , Lingjia Liu

Beam Tree Recursive Neural Network (BT-RvNN) was recently proposed as a simple extension of Gumbel Tree RvNN and it was shown to achieve state-of-the-art length generalization performance in ListOps while maintaining comparable performance…

Machine Learning · Computer Science 2023-11-09 Jishnu Ray Chowdhury , Cornelia Caragea

Recurrent neural networks (RNNs) trained using Equilibrium Propagation (EP), a biologically plausible training algorithm, have demonstrated strong performance in various tasks such as image classification and reinforcement learning.…

Machine Learning · Computer Science 2025-08-21 Yoshimasa Kubo , Jean Erik Delanois , Maxim Bazhenov

One of the most influential results in neural network theory is the universal approximation theorem [1, 2, 3] which states that continuous functions can be approximated to within arbitrary accuracy by single-hidden-layer feedforward neural…

Machine Learning · Computer Science 2021-12-16 Clemens Hutter , Recep Gül , Helmut Bölcskei

RNN-T is currently considered the industry standard in ASR due to its exceptional WERs in various benchmark tests and its ability to support seamless streaming and longform transcription. However, its biggest drawback lies in the…

Sound · Computer Science 2023-07-17 Dongseong Hwang , Changwan Ryu , Khe Chai Sim

Follow-the-Regularized-Leader (FTRL) algorithms are a popular class of learning algorithms for online linear optimization (OLO) that guarantee sub-linear regret, but the choice of regularizer can significantly impact dimension-dependent…

Machine Learning · Computer Science 2024-10-24 Khashayar Gatmiry , Jon Schneider , Stefanie Jegelka

This paper presents a framework to tackle combinatorial optimization problems using neural networks and reinforcement learning. We focus on the traveling salesman problem (TSP) and train a recurrent network that, given a set of city…

Artificial Intelligence · Computer Science 2017-01-16 Irwan Bello , Hieu Pham , Quoc V. Le , Mohammad Norouzi , Samy Bengio

Recurrent Neural Networks (RNN) can be difficult to deploy on resource constrained devices due to their size. As a result, there is a need for compression techniques that can significantly compress RNNs without negatively impacting task…

Machine Learning · Computer Science 2019-10-10 Urmish Thakker , Igor Fedorov , Jesse Beu , Dibakar Gope , Chu Zhou , Ganesh Dasika , Matthew Mattina

We study reinforcement learning (RL) with linear function approximation where the underlying transition probability kernel of the Markov decision process (MDP) is a linear mixture model (Jia et al., 2020; Ayoub et al., 2020; Zhou et al.,…

Machine Learning · Computer Science 2021-01-08 Dongruo Zhou , Quanquan Gu , Csaba Szepesvari

This paper investigates to what extent one can improve reinforcement learning algorithms. Our study is split in three parts. First, our analysis shows that the classical asymptotic convergence rate $O(1/\sqrt{N})$ is pessimistic and can be…

Machine Learning · Computer Science 2021-10-25 Othmane Mounjid , Charles-Albert Lehalle

We present a novel approach to online multi-target tracking based on recurrent neural networks (RNNs). Tracking multiple objects in real-world scenes involves many challenges, including a) an a-priori unknown and time-varying number of…

Computer Vision and Pattern Recognition · Computer Science 2016-12-08 Anton Milan , Seyed Hamid Rezatofighi , Anthony Dick , Ian Reid , Konrad Schindler

The recurrent neural network transducer (RNN-T) objective plays a major role in building today's best automatic speech recognition (ASR) systems for production. Similarly to the connectionist temporal classification (CTC) objective, the…

Computation and Language · Computer Science 2022-04-01 Niko Moritz , Takaaki Hori , Shinji Watanabe , Jonathan Le Roux

Training a Deep Neural Network (DNN) from scratch requires a large amount of labeled data. For a classification task where only small amount of training data is available, a common solution is to perform fine-tuning on a DNN which is…

Computer Vision and Pattern Recognition · Computer Science 2017-09-12 Ying Lu , Liming Chen , Alexandre Saidi

Recurrent neural networks (RNNs) with deep test-time memorization modules, such as Titans and TTT, represent a promising, linearly-scaling paradigm distinct from Transformers. While these expressive models do not yet match the peak…

Machine Learning · Computer Science 2025-11-11 Zeman Li , Ali Behrouz , Yuan Deng , Peilin Zhong , Praneeth Kacham , Mahdi Karami , Meisam Razaviyayn , Vahab Mirrokni

Despite recent advances in training recurrent neural networks (RNNs), capturing long-term dependencies in sequences remains a fundamental challenge. Most approaches use backpropagation through time (BPTT), which is difficult to scale to…

Machine Learning · Computer Science 2018-06-14 Trieu H. Trinh , Andrew M. Dai , Minh-Thang Luong , Quoc V. Le

This study investigates the learnability of Recurrent Neural Networks (RNNs) in classifying structured formal languages, focusing on counter and Dyck languages. Traditionally, both first-order (LSTM) and second-order (O2RNN) RNNs have been…

Computation and Language · Computer Science 2024-10-07 Neisarg Dave , Daniel Kifer , Lee Giles , Ankur Mali

Learning long-term dependencies is a key long-standing challenge of recurrent neural networks (RNNs). Hierarchical recurrent neural networks (HRNNs) have been considered a promising approach as long-term dependencies are resolved through…

Machine Learning · Computer Science 2019-10-14 Asier Mujika , Felix Weissenberger , Angelika Steger
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