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An expression for the group delay of the FitzHugh-Nagumo model in response to low amplitude input is obtained by linearisation of the cubic term of the voltage equation around its stable fixed-point. It is found that a negative group delay…

Neurons and Cognition · Quantitative Biology 2021-01-05 Akke Mats Houben

In this paper, time delay estimation techniques robust to narrowband interference (NBI) are proposed. Owing to the deluge of wireless signal interference these days, narrowband interference is a common problem for communication and…

Information Theory · Computer Science 2015-12-29 TaeJin Park , Kyeong Ok Kang

It is reported that the phase time of particles which are reflected by a one-dimensional semi-harmonic well includes a time delay term which is negative for definite intervals of the incoming energy. In this interval, the absolute value of…

Quantum Physics · Physics 2013-02-21 Oscar Rosas-Ortiz , Sara Cruz y Cruz , Nicolas Fernandez-Garcia

Neural network dynamics emerge from the interaction of spiking cells. One way to formulate the problem is through a theoretical framework inspired by ideas coming from statistical physics, the so-called mean-field theory. In this document,…

Analysis of PDEs · Mathematics 2020-11-11 Grégory Dumont , Pierre Gabriel

The leaky integrate and fire (LIF) neuron represents standard neuronal model used for numerical simulations. The leakage is implemented in the model as exponential decay of trans-membrane voltage towards its resting value. This makes…

Neurons and Cognition · Quantitative Biology 2015-05-26 A. K. Vidybida

Perceptual estimates exhibit a reversal in bias depending on uncertainty: they shift toward prior expectations under high stimulus noise, but away from them when sensory noise dominates. The normative framework of a Bayesian observer model…

Neurons and Cognition · Quantitative Biology 2025-10-16 Hyun-Jun Jeon , Hansol Choi , Oh-Sang Kwon

We propose a leaky optical waveguide achieved with a uniaxially anisotropic metamaterial that supports both forward and backward leaky waves. The backward leaky nature is exploited in a sub-diffraction imaging system.

Optics · Physics 2009-12-22 Huikan Liu , Kevin J. Webb

Iterative learning control (ILC) improves the performance of a repetitive system by learning from previous trials. ILC can be combined with Model Predictive Control (MPC) to mitigate non-repetitive disturbances, thus improving overall…

Systems and Control · Electrical Eng. & Systems 2025-03-26 Riccardo Zuliani , Efe C. Balta , Alisa Rupenyan , John Lygeros

We formulate sequence to sequence transduction as a noisy channel decoding problem and use recurrent neural networks to parameterise the source and channel models. Unlike direct models which can suffer from explaining-away effects during…

Computation and Language · Computer Science 2017-03-07 Lei Yu , Phil Blunsom , Chris Dyer , Edward Grefenstette , Tomas Kocisky

A gain-assisted plasmonic waveguide with two detuned resonators is investigated in the plasmon-induced transparency window. Phase map is employed to study power transmittance and group delay for varying gain coefficients and frequency…

Optics · Physics 2016-02-11 Zi-Lan Deng , Jian-Wen Dong , He-Zhou Wang , S. H. Cheng , Jensen Li

Collaborative machine learning and related techniques such as federated learning allow multiple participants, each with his own training dataset, to build a joint model by training locally and periodically exchanging model updates. We…

Cryptography and Security · Computer Science 2018-11-02 Luca Melis , Congzheng Song , Emiliano De Cristofaro , Vitaly Shmatikov

We extensively explore networks of weakly unbalanced, leaky integrate-and-fire (LIF) neurons for different coupling strength, connectivity, and by varying the degree of refractoriness, as well as the delay in the spike transmission. We find…

Neurons and Cognition · Quantitative Biology 2018-12-14 Antonio Politi , Ekkehard Ullner , Alessandro Torcini

Oscillatory dynamics are common features of complex networks, often playing essential roles in regulating function. Across scales from gene regulatory networks to ecosystems, delayed feedback mechanisms are key drivers of system-scale…

Disordered Systems and Neural Networks · Physics 2026-03-06 Shijie Liu , Jinliang Han , Jianming Liu , Tim Rogers , Yongzheng Sun

Anatomical studies demonstrate that brain reformats input information to generate reliable responses for performing computations. However, it remains unclear how neural circuits encode complex spatio-temporal patterns. We show that neural…

Neurons and Cognition · Quantitative Biology 2018-02-20 Priyadarshini Panda , Kaushik Roy

Leaky waves are an important class of waves, particularly for guiding waves along structures embedded within another medium; a mismatch in wavespeeds often leads to leakage of energy from the waveguide, or interface, into the medium, which…

Fluid Dynamics · Physics 2024-01-30 Evripides Georgiades , Michael J. S. Lowe , Richard V. Craster

Time--delayed feedback is exploited for controlling noise--induced motion in coherence resonance oscillators. Namely, under the proper choice of time delay, one can either increase or decrease the regularity of motion. It is shown that in…

Statistical Mechanics · Physics 2009-11-10 N. B. Janson , A. G. Balanov , E. Schoell

Retrieving information through disordered scattering systems remains a major challenge in wireless communication and sensing due to the severe distortion and attenuation caused by multiple scattering. Here, we demonstrate robust focusing…

Due to simplicity and strong stability guarantees, predictor feedback methods have stood as a popular approach for time delay systems since the 1950s. For time-varying delays, however, implementation requires computing a prediction horizon…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Luke Bhan , Miroslav Krstic , Yuanyuan Shi

Field-Programmable Gate Arrays (FPGAs) are integrated circuits that implement reconfigurable hardware. They are used in modern systems, creating specialized, highly-optimized integrated circuits without the need to design and manufacture…

Cryptography and Security · Computer Science 2018-03-15 Ilias Giechaskiel , Kasper B. Rasmussen , Ken Eguro

Recurrent Neural Networks (RNN) are extensively employed for processing sequential data such as time series. Reservoir computing (RC) has drawn attention as an RNN framework due to its fixed network that does not require training, making it…

Emerging Technologies · Computer Science 2025-09-19 T. M. Kamsma , J. J. Teijema , R. van Roij , C. Spitoni