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We consider signal transaction in a simple neuronal model featuring intrinsic noise. The presence of noise limits the precision of neural responses and impacts the quality of neural signal transduction. We assess the signal transduction…

Biological Physics · Physics 2015-03-17 Michael J. Barber , Manfred L. Ristig

In addition to high accuracy, robustness is becoming increasingly important for machine learning models in various applications. Recently, much research has been devoted to improving the model robustness by training with noise…

Machine Learning · Computer Science 2021-03-30 Kun-Peng Ning , Lue Tao , Songcan Chen , Sheng-Jun Huang

Non-reciprocal interactions are a defining feature of many complex systems, biological, ecological, and technological, often pushing them far from equilibrium and enabling rich dynamical responses. These asymmetries can arise at multiple…

Biological Physics · Physics 2026-02-17 Anna Poggialini , Serena Di Santo , Pablo Villegas , Andrea Gabrielli , Miguel A. Muñoz

Robustness is a measure of functional reliability of a system against perturbations. To achieve a good and robust performance, a system must filter out external perturbations by its internal priors. These priors are usually distilled in the…

Neurons and Cognition · Quantitative Biology 2024-08-06 Jing Yan , Yunxuan Feng , Wei Dai , Yaoyu Zhang

Neurons in many brain areas can develop pronounced depolarized state of membrane potential (up state) in addition to the normal hyperpolarized down state near the resting potential. The influence of the up state on signal encoding, however,…

Neurons and Cognition · Quantitative Biology 2015-09-30 Wei Wei , Fred Wolf , Xiao-Jing Wang

In this paper, we propose a new scheme for modelling the diverse behavior of neurons. We introduce the conditional activation, in which a neurons activation function is dynamically modified by a control signal. We apply this method to…

Neural and Evolutionary Computing · Computer Science 2018-03-15 Albert Lee , Bonnie Lam , Wenyuan Li , Hochul Lee , Wei-Hao Chen , Meng-Fan Chang , Kang. -L. Wang

Understanding how the complex connectivity structure of the brain shapes its information-processing capabilities is a long-standing question. By focusing on a paradigmatic architecture, we study how the neural activity of excitatory and…

Statistical Mechanics · Physics 2024-10-18 Giacomo Barzon , Daniel Maria Busiello , Giorgio Nicoletti

A large number of eukaryotic cells are able to directly detect external chemical gradients with great accuracy and the ultimate limit to their sensitivity has been a topic of debate for many years. Previous work has been done to understand…

Cell Behavior · Quantitative Biology 2015-05-20 Stuart A. Sevier , Herbert Levine

Recent experiments suggested that homeostatic regulation of synaptic balance leads the visual system to recover and maintain a regime of power-law avalanches. Here we study an excitatory/inhibitory (E/I) mean-field neuronal network that has…

Adaptation and Self-Organizing Systems · Physics 2020-02-24 Mauricio Girardi-Schappo , Ludmila Brochini , Ariadne A. Costa , Tawan T. A. Carvalho , Osame Kinouchi

Many modern applications of the artificial neural networks ensue large number of layers making traditional digital implementations increasingly complex. Optical neural networks offer parallel processing at high bandwidth, but have the…

Neural and Evolutionary Computing · Computer Science 2022-08-24 Egor Manuylovich , Diego Argüello Ron , Morteza Kamalian-Kopae , Sergei Turitsyn

Stochastic resonance is a non-linear phenomenon, in which the sensitivity of signal detectors can be enhanced by adding random noise to the detector input. Here, we demonstrate that noise can also improve the information flux in recurrent…

Neurons and Cognition · Quantitative Biology 2018-11-30 Patrick Krauss , Karin Prebeck , Achim Schilling , Claus Metzner

The counter-intuitive phenomenon of coherence resonance describes a non-monotonic behavior of the regularity of noise-induced oscillations in the excitable regime, leading to an optimal response in terms of regularity of the excited…

Adaptation and Self-Organizing Systems · Physics 2021-03-24 Emre Baspinar , Leonhard Schülen , Simona Olmi , Anna Zakharova

A stochastic model of excitatory and inhibitory interactions which bears universality traits is introduced and studied. The endogenous component of noise, stemming from finite size corrections, drives robust inter-nodes correlations, that…

Disordered Systems and Neural Networks · Physics 2017-08-16 Clement Zankoc , Duccio Fanelli , Francesco Ginelli , Roberto Livi

Adaptation plays a fundamental role in shaping the structure of a complex network and improving its functional fitting. Even when increasing the level of synchronization in a biological system is considered as the main driving force for…

Physics and Society · Physics 2018-04-11 Vanesa Avalos-Gaytán , J. A. Almendral , I. Leyva , F. Battiston , V. Nicosia , V. Latora , S. Boccaletti

For general networks of pulse-coupled oscillators, including regular, random, and more complex networks, we develop an exact stability analysis of synchronous states. As opposed to conventional stability analysis, here stability is…

Disordered Systems and Neural Networks · Physics 2009-11-07 Marc Timme , Fred Wolf , Theo Geisel

Through the last years, different strategies to enhance synchronization in complex networks have been proposed. In this Letter, we show that the synchronization in a small-world network of attractively coupled non-identical neurons is…

Disordered Systems and Neural Networks · Physics 2009-11-11 I. Leyva , I. Sendiña-Nadal , J. A. Almendral , M. A. F. Sanjuán

Ever since the last two decades of the past century pioneering studies in the field of statistical physics had focused their efforts on developing models of neural networks that could display memory storage and retrieval. Though many…

Disordered Systems and Neural Networks · Physics 2023-05-16 Enrico Ventura

The functional significance of correlations between action potentials of neurons is still a matter of vivid debates. In particular it is presently unclear how much synchrony is caused by afferent synchronized events and how much is…

Neurons and Cognition · Quantitative Biology 2013-04-09 Matthias Schultze-Kraft , Markus Diesmann , Sonja Grün , Moritz Helias

We address a question on the effect of common stochastic inputs on the correlation of the spikes trains of two neurons when they are possibly nonidentical and are coupled through direct connections. We show that the change in the…

Neurons and Cognition · Quantitative Biology 2013-04-24 E. Bolhasani , Y. Azizi , A. Valizadeh

We propose a novel {\it Equilibrated Recurrent Neural Network} (ERNN) to combat the issues of inaccuracy and instability in conventional RNNs. Drawing upon the concept of autapse in neuroscience, we propose augmenting an RNN with a…

Machine Learning · Computer Science 2019-03-05 Ziming Zhang , Anil Kag , Alan Sullivan , Venkatesh Saligrama