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Although instantaneous interactions are unphysical, a large variety of maximum entropy statistical inference methods match the model-inferred and the empirically-measured equal-time correlation functions. Focusing on collective motion of…

To successfully navigate chemical gradients, microorganisms need to predict how the ligand concentration changes in space. Due to their limited size, they do not take a spatial derivative over their body length but rather a temporal…

Molecular Networks · Quantitative Biology 2024-02-09 Age J. Tjalma , Pieter Rein ten Wolde

It has long been argued that neural networks have to establish and maintain a certain intermediate level of activity in order to keep away from the regimes of chaos and silence. Strong evidence for criticality has been observed in terms of…

Disordered Systems and Neural Networks · Physics 2012-12-14 Matthias Rybarsch , Stefan Bornholdt

We analyze the probability distribution for entropy production rates of trajectories evolving on a class of out-of-equilibrium kinetic networks. These networks can serve as simple models for driven dynamical systems, which are of particular…

Statistical Mechanics · Physics 2014-08-05 Suriyanarayanan Vaikuntanathan , Todd R. Gingrich , Phillip L. Geissler

In this paper we study a simple model of a purely excitatory neural network that, by construction, operates at a critical point. This model allows us to consider various markers of criticality and illustrate how they should perform in a…

Neurons and Cognition · Quantitative Biology 2013-05-17 Timothy J. Taylor , Caroline Hartley , Péter L. Simon , Istvan Z Kiss , Luc Berthouze

The use of existing network devices as relays has a potential to improve the overall network performance. In this work, we consider a two-hop wireless relay setting, where the channels between the source and relay nodes to the destination…

Networking and Internet Architecture · Computer Science 2017-04-11 Mehdi Salehi Heydar Abad , Ozgur Ercetin , Eylem Ekici

Neuronal ensemble activity, including coordinated and oscillatory patterns, exhibits hallmarks of nonequilibrium systems with time-asymmetric trajectories to maintain their organization. However, assessing time asymmetry from neuronal…

Neurons and Cognition · Quantitative Biology 2025-12-12 Ken Ishihara , Hideaki Shimazaki

It has been demonstrated that excitable media with a tree structure performed better than other network topologies, it is natural to consider neural networks defined on Cayley trees. The investigation of a symbolic space called tree-shift…

Dynamical Systems · Mathematics 2018-02-28 Jung-Chao Ban , Chih-Hung Chang , Nai-Zhu Huang

A distributed average consensus algorithm robust to a wide range of impulsive channel noise distributions is proposed. This work is the first of its kind in the literature to propose a consensus algorithm which relaxes the requirement of…

Systems and Control · Computer Science 2015-06-22 Sivaraman Dasarathan , Cihan Tepedelenlioglu , Mahesh Banavar , Andreas Spanias

This article investigates the problem of dynamic spectrum access for canonical wireless networks, in which the channel states are time-varying. In the most existing work, the commonly used optimization objective is to maximize the…

Information Theory · Computer Science 2017-07-31 Yuhua Xu , Jinlong Wang , Qihui Wu , Jianchao Zheng , Liang Shen , Alagan Anpalagan

The brain keeps its overall dynamics in a corridor of intermediate activity and it has been a long standing question what possible mechanism could achieve this task. Mechanisms from the field of statistical physics have long been suggesting…

Disordered Systems and Neural Networks · Physics 2014-10-08 Matthias Rybarsch , Stefan Bornholdt

This work deals with accuracy analysis of dynamical systems interconnected in a cascade structure. For a cascade network there are a number of experimental settings for which the dynamic systems within the network can be identified. We…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Eduardo Mapurunga , Alexandre Sanfelice Bazanella

In this paper, multi-agent systems minimizing a sum of objective functions, where each component is only known to a particular node, is considered for continuous-time dynamics with time-varying interconnection topologies. Assuming that each…

Multiagent Systems · Computer Science 2015-03-19 Guodong Shi , Karl Henrik Johansson , Yiguang Hong

The neocortex, a complex system driving multi-region interactions, remains a core puzzle in neuroscience. Despite quantitative insights across brain scales, understanding the mechanisms underlying neural activities is challenging. Advances…

Neurons and Cognition · Quantitative Biology 2024-11-27 Xiaochen Wang , Yuxuan Wu , Feng Zhang , Jin Wang

In this paper, the problem of choosing the best allocation of excitations and measurements for the identification of a dynamic network is formally stated and analyzed. The best choice will be one that achieves the most accurate…

Optimization and Control · Mathematics 2021-09-21 Eduardo Mapurunga , Alexandre Sanfelici Bazanella

Neuronal networks can present activity described by power-law distributed avalanches presumed to be a signature of a critical state. Here we study a random-neighbor network of excitable cellular automata coupled by dynamical synapses. The…

Adaptation and Self-Organizing Systems · Physics 2015-07-21 Ariadne de A. Costa , Mauro Copelli , Osame Kinouchi

The branching process is the minimal model for propagation dynamics, avalanches and criticality, broadly used in neuroscience. A simple extension of it, adding inhibitory nodes, induces a much-richer phenomenology, including, an…

Statistical Mechanics · Physics 2022-07-08 Roberto Corral López , Victor Buendía , Miguel A. Muñoz

Subword tokenization is a key part of many NLP pipelines. However, little is known about why some tokenizer and hyperparameter combinations lead to better downstream model performance than others. We propose that good tokenizers lead to…

Computation and Language · Computer Science 2023-06-30 Vilém Zouhar , Clara Meister , Juan Luis Gastaldi , Li Du , Mrinmaya Sachan , Ryan Cotterell

We characterize different cell states, related to cancer and ageing phenotypes, by a measure of entropy of network ensembles, integrating gene expression values and protein interaction networks. The entropy measure estimates the parameter…

Molecular Networks · Quantitative Biology 2013-05-24 G. Menichetti , G. Bianconi , E. Giampieri , G. Castellani , D. Remondini

Recent advances in signal processing and information theory are boosting the development of new approaches for the data-driven modelling of complex network systems. In the fields of Network Physiology and Network Neuroscience where the…

Methodology · Statistics 2024-01-23 Laura Sparacino , Yuri Antonacci , Gorana Mijatovic , Luca Faes
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