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This paper is a review dealing with the study of large size random recurrent neural networks. The connection weights are selected according to a probability law and it is possible to predict the network dynamics at a macroscopic scale using…

Mathematical Physics · Physics 2011-11-10 M. Samuelides , B. Cessac

In this paper, we explore the application of Recurrent Neural Network (RNN) for still images. Typically, Convolutional Neural Networks (CNNs) are the prevalent method applied for this type of data, and more recently, transformers have…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Dmitri , Lvov , Yair Smadar , Ran Bezen

Recurrent neural networks (RNNs) have recently been extensively applied to model the time-evolution in fluid dynamics, weather predictions, and even chaotic systems thanks to their ability to capture temporal dependencies and sequential…

Quantum Physics · Physics 2026-01-21 Alex P. Ning , Lingyu Yang , Gia-Wei Chern

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

Central Pattern Generators (CPGs) are biological neural circuits capable of producing coordinated rhythmic outputs in the absence of rhythmic input. As a result, they are responsible for most rhythmic motion in living organisms. This…

Machine Learning · Computer Science 2019-01-21 Vincent Liu , Ademi Adeniji , Nathaniel Lee , Jason Zhao , Mario Srouji

The field of machine learning has taken a dramatic twist in recent times, with the rise of the Artificial Neural Network (ANN). These biologically inspired computational models are able to far exceed the performance of previous forms of…

Neural and Evolutionary Computing · Computer Science 2015-12-03 Keiron O'Shea , Ryan Nash

Recurrent neural networks are a widely used class of neural architectures. They have, however, two shortcomings. First, they are often treated as black-box models and as such it is difficult to understand what exactly they learn as well as…

Machine Learning · Computer Science 2022-12-13 Cheng Wang , Carolin Lawrence , Mathias Niepert

Recurrent neural networks (RNNs) in combination with a pooling operator and the neighbourhood components analysis (NCA) objective function are able to detect the characterizing dynamics of sequences and embed them into a fixed-length vector…

Neural and Evolutionary Computing · Computer Science 2013-08-23 Justin Bayer , Christian Osendorfer , Patrick van der Smagt

Temporal data modelling techniques with neural networks are useful in many domain applications, including time-series forecasting and control engineering. This paper aims at developing a recurrent version of stochastic configuration…

Machine Learning · Computer Science 2025-04-03 Dianhui Wang , Gang Dang

Recurrent neural networks (RNNs) trained on compositional tasks can exhibit functional modularity, in which neurons can be clustered by activity similarity and participation in shared computational subtasks. Unlike brains, these RNNs do not…

Neurons and Cognition · Quantitative Biology 2023-10-12 Ziming Liu , Mikail Khona , Ila R. Fiete , Max Tegmark

This contribution introduces a neural-network-based approach to discover meaningful transition pathways underlying complex biomolecular transformations in coherence with the committor function. The proposed path-committor-consistent…

Recurrent Neural Networks (RNNs) are widely used for modelling neural activity, yet the mathematical interplay of core procedures is used to analyze them (temporal rescaling, discretization, and linearization) remain uncharacterized. This…

Neural and Evolutionary Computing · Computer Science 2025-04-08 Mariano Caruso , Cecilia Jarne

We introduce an exceptionally simple gated recurrent neural network (RNN) that achieves performance comparable to well-known gated architectures, such as LSTMs and GRUs, on the word-level language modeling task. We prove that our model has…

Neural and Evolutionary Computing · Computer Science 2016-12-20 Thomas Laurent , James von Brecht

Prediction and control of chemical mixing are vital for many scientific areas such as subsurface reactive transport, climate modeling, combustion, epidemiology, and pharmacology. Due to the complex nature of mixing in heterogeneous and…

Machine Learning · Computer Science 2021-12-15 N. V. Jagtap , M. K. Mudunuru , K. B. Nakshatrala

Understanding and prediction of the chemical reactions are fundamental demanding in the study of many complex chemical systems. Reactive molecular dynamics (MD) simulation has been widely used for this purpose as it can offer atomic details…

Chemical Physics · Physics 2020-11-12 Jinzhe Zeng , Liqun Cao , Mingyuan Xu , Tong Zhu , John ZH Zhang

We consider how to generate chemical reaction networks (CRNs) from functional specifications. We propose a two-stage approach that combines synthesis by satisfiability modulo theories and Markov chain Monte Carlo based optimisation. First,…

Emerging Technologies · Computer Science 2015-08-19 Neil Dalchau , Niall Murphy , Rasmus Petersen , Boyan Yordanov

Recently, Neural Networks have been proven extremely effective in many natural language processing tasks such as sentiment analysis, question answering, or machine translation. Aiming to exploit such advantages in the Ontology Learning…

Computation and Language · Computer Science 2016-07-15 Giulio Petrucci , Chiara Ghidini , Marco Rospocher

In our earlier work, we introduced the concept of Gene Regulatory Neural Network (GRNN), which utilizes natural neural network-like structures inherent in biological cells to perform computing tasks using chemical inputs. We define this…

Neural and Evolutionary Computing · Computer Science 2024-03-14 Samitha Somathilaka , Adrian Ratwatte , Sasitharan Balasubramaniam , Mehmet Can Vuran , Witawas Srisa-an , Pietro Liò

Reaction networks are commonly used to model the evolution of populations of species subject to transformations following an imposed stoichiometry. This paper focuses on the efficient characterisation of dynamical properties of Discrete…

Discrete Mathematics · Computer Science 2013-07-15 Loïc Paulevé , Gheorghe Craciun , Heinz Koeppl

Key processes in biological and chemical systems are described by networks of chemical reactions. From molecular biology to biotechnology applications, computational models of reaction networks are used extensively to elucidate their…

Quantitative Methods · Quantitative Biology 2019-02-18 Pavel Loskot , Komlan Atitey , Lyudmila Mihaylova
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