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Living systems operate out of equilibrium, continuously consuming energy to sustain organised, functional states. Their emergent behaviour usually relies on a set of interconnected chemical reaction networks (CRNs) driven by external fluxes…

Statistical Mechanics · Physics 2026-02-03 Shiling Liang , Paolo De Los Rios , Daniel Maria Busiello

Quantum computing has shown theoretical promise of speedup in several machine learning tasks, including generative tasks using generative adversarial networks (GANs). While quantum computers have been implemented with different types of…

Quantum Physics · Physics 2024-10-11 Nicholas S. DiBrita , Daniel Leeds , Yuqian Huo , Jason Ludmir , Tirthak Patel

Exact results for product-form stationary distributions of Markov chains are of interest in different fields. In stochastic reaction networks (CRNs), stationary distributions are mostly known in special cases where they are of product-form.…

Probability · Mathematics 2021-12-07 Beatriz Pascual-Escudero , Linard Hoessly

The study of the dynamics of chemical reactions, and in particular phenomena such as oscillating reactions, has led to the recognition that many dynamical properties of a chemical reaction can be predicted from graph theoretical properties…

Dynamical Systems · Mathematics 2022-11-08 J. J. P. Veerman , Tessa Whalen-Wagner , Ewan Kummel

Deep learning approaches have demonstrated success in modeling analog audio effects. Nevertheless, challenges remain in modeling more complex effects that involve time-varying nonlinear elements, such as dynamic range compressors. Existing…

Audio and Speech Processing · Electrical Eng. & Systems 2022-04-18 Christian J. Steinmetz , Joshua D. Reiss

Linear response (LR) theory is a powerful tool in classic quantum chemistry crucial to understanding photo-induced processes in chemistry and biology. However, performing simulations for large systems and in the case of strong electron…

We consider a neural network (NN) that may experience memory faults and computational errors. In this paper, we propose a novel real-number-based error correction code (ECC) capable of detecting and correcting both memory errors and…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Ziqing Li , Myung Cho , Qiutong Jin , Weiyu Xu

Chemical reaction networks (CRNs) are fundamental computational models used to study the behavior of chemical reactions in well-mixed solutions. They have been used extensively to model a broad range of biological systems, and are primarily…

Molecular Networks · Quantitative Biology 2021-05-13 J. N. Mueller , J. N. Corcoran

We introduce a novel class of untrained Recurrent Neural Networks (RNNs) within the Reservoir Computing (RC) paradigm, called Residual Reservoir Memory Networks (ResRMNs). ResRMN combines a linear memory reservoir with a non-linear…

Machine Learning · Computer Science 2026-02-02 Matteo Pinna , Andrea Ceni , Claudio Gallicchio

Sequence prediction and classification are ubiquitous and challenging problems in machine learning that can require identifying complex dependencies between temporally distant inputs. Recurrent Neural Networks (RNNs) have the ability, in…

Neural and Evolutionary Computing · Computer Science 2014-02-17 Jan Koutník , Klaus Greff , Faustino Gomez , Jürgen Schmidhuber

In contrast to electronic computation, chemical computation is noisy and susceptible to a variety of sources of error, which has prevented the construction of robust complex systems. To be effective, chemical algorithms must be designed…

Data Structures and Algorithms · Computer Science 2019-08-19 Dan Alistarh , Bartłomiej Dudek , Adrian Kosowski , David Soloveichik , Przemysław Uznański

Recurrent neural networks (RNNs) are a popular choice for modeling sequential data. Modern RNN architectures assume constant time-intervals between observations. However, in many datasets (e.g. medical records) observation times are…

Machine Learning · Computer Science 2022-07-27 Mona Schirmer , Mazin Eltayeb , Stefan Lessmann , Maja Rudolph

We characterise the computational power of recurrent graph neural networks (GNNs) in terms of arithmetic circuits over the real numbers. Our networks are not restricted to aggregate-combine GNNs or other particular types. Generalising…

Computational Complexity · Computer Science 2026-05-05 Timon Barlag , Vivian Holzapfel , Laura Strieker , Jonni Virtema , Heribert Vollmer

Deep neural networks (DNNs) have achieved great success in a wide range of computer vision areas, but the applications to mobile devices is limited due to their high storage and computational cost. Much efforts have been devoted to compress…

Computer Vision and Pattern Recognition · Computer Science 2019-05-14 Yiming Hu , Jianquan Li , Xianlei Long , Shenhua Hu , Jiagang Zhu , Xingang Wang , Qingyi Gu

Quantum computers are emerging as a viable alternative to tackle certain computational problems that are challenging for classical computers. With the rapid development of quantum hardware such as those based on trapped ions, there is…

Quantum Physics · Physics 2023-02-07 Saikat Ray Majumder , Annarita Giani , Weiwei Shen , Bogdan Neculaes , Daiwei Zhu , Sonika Johri

Reservoir computing (RC), a neural network designed for temporal data, enables efficient computation with low-cost training and direct physical implementation. Recently, quantum RC has opened new possibilities for conventional RC and…

Mesoscale and Nanoscale Physics · Physics 2025-11-05 Yecheng Jing , Pengfei Wang , Shuai Zhang , Zhoujie Zeng , Shi-Jun Liang , Wei Chen

Representation based classification method (RBCM) remains one of the hottest topics in the community of pattern recognition, and the recently proposed non-negative representation based classification (NRC) achieved impressive recognition…

Computer Vision and Pattern Recognition · Computer Science 2020-05-20 He-Feng Yin , Xiao-Jun Wu

We address the challenge of identifying all real positive steady states in chemical reaction networks (CRNs) governed by mass-action kinetics. Traditional numerical methods often require specific initial guesses and may fail to find all the…

Molecular Networks · Quantitative Biology 2025-09-29 Paola Ferrari , Sara Sommariva , Michele Piana , Federico Benvenuto , Matteo Varbaro

Action detection is an essential and challenging task, especially for densely labelled datasets of untrimmed videos. There are many real-world challenges in those datasets, such as composite action, co-occurring action, and high temporal…

Computer Vision and Pattern Recognition · Computer Science 2022-07-12 Rui Dai , Srijan Das , Francois Bremond

It is useful to have complete lists of nonisomorphic chemical reaction networks (CRNs) of a given size, with or without various restrictions. One may, for example, be interested in exploring how often certain dynamical behaviours occur in…

Molecular Networks · Quantitative Biology 2017-06-01 Murad Banaji