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Many recurrent neural network machine learning paradigms can be formulated using state-space representations. The classical notion of canonical state-space realization is adapted in this paper to accommodate semi-infinite inputs so that it…

Optimization and Control · Mathematics 2021-08-12 Lyudmila Grigoryeva , Juan-Pablo Ortega

Molecular circuits capable of autonomous learning could unlock novel applications in fields such as bioengineering and synthetic biology. To this end, existing chemical implementations of neural computing have mainly relied on emulating…

Machine Learning · Computer Science 2025-09-23 Rajiv Teja Nagipogu , John H. Reif

Supervised learning with large-scale data usually leads to complex optimization problems, especially for classification tasks with multiple classes. Stochastic subgradient methods can enable efficient learning with a large number of samples…

Machine Learning · Computer Science 2025-11-25 Kartheek Bondugula , Santiago Mazuelas , Aritz Pérez

Reading comprehension (RC) is a challenging task that requires synthesis of information across sentences and multiple turns of reasoning. Using a state-of-the-art RC model, we empirically investigate the performance of single-turn and…

Computation and Language · Computer Science 2017-11-10 Yelong Shen , Xiaodong Liu , Kevin Duh , Jianfeng Gao

Encoding models are used for predicting brain activity in response to sensory stimuli with the objective of elucidating how sensory information is represented in the brain. Encoding models typically comprise a nonlinear transformation of…

Neurons and Cognition · Quantitative Biology 2017-03-13 Umut Güçlü , Marcel A. J. van Gerven

As a language model that integrates traditional symbolic operations and flexible neural representations, recurrent neural network grammars (RNNGs) have attracted great attention from both scientific and engineering perspectives. However,…

Computation and Language · Computer Science 2021-06-01 Hiroshi Noji , Yohei Oseki

Recurrent networks of dynamic elements frequently exhibit emergent collective oscillations, which can display substantial regularity even when the individual elements are considerably noisy. How noise-induced dynamics at the local level…

Adaptation and Self-Organizing Systems · Physics 2017-01-04 Belen Sancristobal , Beatriz Rebollo , Pol Boada , Maria V. Sanchez-Vives , Jordi Garcia-Ojalvo

Recurrent Neural Networks (RNNs) are popular models of brain function. The typical training strategy is to adjust their input-output behavior so that it matches that of the biological circuit of interest. Even though this strategy ensures…

Neurons and Cognition · Quantitative Biology 2020-11-09 Alessandro Salatiello , Martin A. Giese

Spiking neural networks are a type of artificial neural networks in which communication between neurons is only made of events, also called spikes. This property allows neural networks to make asynchronous and sparse computations and…

Neural and Evolutionary Computing · Computer Science 2024-05-07 Florent De Geeter , Damien Ernst , Guillaume Drion

Reservoir Computing (RC) is a popular methodology for the efficient design of Recurrent Neural Networks (RNNs). Recently, the advantages of the RC approach have been extended to the context of multi-layered RNNs, with the introduction of…

Machine Learning · Computer Science 2019-09-25 Claudio Gallicchio , Alessio Micheli

Recurrent neural networks (RNNs) are capable of learning features and long term dependencies from sequential and time-series data. The RNNs have a stack of non-linear units where at least one connection between units forms a directed cycle.…

Neural and Evolutionary Computing · Computer Science 2018-02-26 Hojjat Salehinejad , Sharan Sankar , Joseph Barfett , Errol Colak , Shahrokh Valaee

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

Recurrent neural networks (RNNs) provide a powerful approach in neuroscience to infer latent dynamics in neural populations and to generate hypotheses about the neural computations underlying behavior. However, past work has focused on…

Machine Learning · Computer Science 2025-10-30 Elia Torre , Michele Viscione , Lucas Pompe , Benjamin F Grewe , Valerio Mante

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.…

Computational Engineering, Finance, and Science · Computer Science 2023-10-11 Ling Wu , Ludovic Noels

The extension of deep learning towards temporal data processing is gaining an increasing research interest. In this paper we investigate the properties of state dynamics developed in successive levels of deep recurrent neural networks…

Machine Learning · Computer Science 2018-02-05 Claudio Gallicchio

Recurrent neural networks (RNNs) are brain-inspired models widely used in machine learning for analyzing sequential data. The present work is a contribution towards a deeper understanding of how RNNs process input signals using the response…

Machine Learning · Statistics 2021-02-15 Soon Hoe Lim

Recently, deep architectures, such as recurrent and recursive neural networks have been successfully applied to various natural language processing tasks. Inspired by bidirectional recurrent neural networks which use representations that…

Machine Learning · Computer Science 2013-12-03 Ozan İrsoy , Claire Cardie

We continue the work of a series of previous studies of a mathematical model that describes the mean-field limit behavior of a homogeneous network of excitatory point spiking neurons. Contrary to other models, here noise is intrinsic to the…

Neurons and Cognition · Quantitative Biology 2017-07-20 Guillem Via

The synergy between spiking neural networks and neuromorphic hardware holds promise for the development of energy-efficient AI applications. Inspired by this potential, we revisit the foundational aspects to study the capabilities of…

Neural and Evolutionary Computing · Computer Science 2024-03-18 Manjot Singh , Adalbert Fono , Gitta Kutyniok

In this paper, we present an online reinforcement learning algorithm, called Renewal Monte Carlo (RMC), for infinite horizon Markov decision processes with a designated start state. RMC is a Monte Carlo algorithm and retains the advantages…

Machine Learning · Computer Science 2018-04-05 Jayakumar Subramanian , Aditya Mahajan