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The recent success of neural network models has shone light on a rather surprising statistical phenomenon: statistical models that perfectly fit noisy data can generalize well to unseen test data. Understanding this phenomenon of…

Machine Learning · Statistics 2022-09-13 Niladri S. Chatterji , Philip M. Long , Peter L. Bartlett

In this paper we introduce a model which provides a new approach to the phenomenon of stochastic resonance. It is based on the study of the properties of the stationary distribution of the underlying stochastic process. We derive the…

Probability · Mathematics 2007-05-23 Peter Imkeller , Ilya Pavlyukevich

In this first of two papers, we present a new method for searching for oscillatory features in the primordial power spectrum. A wide variety of models predict these features in one of two different flavors: logarithmically spaced…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-02 P. Daniel Meerburg , David N. Spergel , Benjamin D. Wandelt

In this manuscript, a silent resonator neuron is coupled with a spiking integrator neuron through the gap junction, when the coupled neurons are of different types of excitability and none of the coupled neurons exhibit mixed mode…

Dynamical Systems · Mathematics 2024-01-18 Mohammad Reza Razvan , Somaye Yasaman

Nonlinear systems driven by noise and periodic forces with more than one frequency exhibit the phenomenon of Ghost Stochastic Resonance (GSR) found in a wide and disparate variety of fields ranging from biology to geophysics. The common…

Disordered Systems and Neural Networks · Physics 2015-05-30 Pablo Balenzuela , Holger Braun , Dante R. Chialvo

Large-eddy simulations of a flat-plate boundary layer, without a leading edge, subject to multiple levels of incoming free stream turbulence are considered in the present work. Within an input-output model where non-linear terms of the…

Fluid Dynamics · Physics 2024-02-19 Diego C. P. Blanco , Ardeshir Hanifi , Dan S. Henningson , André V. G. Cavalieri

To investigate how speech is processed in the brain, we can model the relation between features of a natural speech signal and the corresponding recorded electroencephalogram (EEG). Usually, linear models are used in regression tasks.…

Audio and Speech Processing · Electrical Eng. & Systems 2022-07-25 Corentin Puffay , Jana Van Canneyt , Jonas Vanthornhout , Hugo Van Hamme , Tom Francart

Travelling waves of neural firing activity are observed in brain tissue as a part of various sensory, motor and cognitive processes. They represent an object of major interest in the study of excitable networks, with analysis conducted in…

Neurons and Cognition · Quantitative Biology 2025-11-10 Henry D. J. Kerr , Peter Ashwin , Kyle C. A. Wedgwood

We start from a one-dimensional periodic multilayered stack in order to define a frequency power expansion of effective permittivity, permeability and bianisotropic parameters. It is shown from the first order that a simple dielectric…

Optics · Physics 2012-12-04 Yan Liu , Sébastien Guenneau , Boris Gralak

Intracellular fluctuations, mainly triggered by gene expression, are an inevitable phenomenon observed in living cells. It influences generation of phenotypic diversity in genetically identical cells. Such variation of cellular components…

Molecular Networks · Quantitative Biology 2017-02-08 Alok Kumar Maity , Pinaki Chaudhury , Suman K. Banik

As circuits continue to miniaturize, noise has become a significant obstacle to performance optimization. Stochastic resonance in logic circuits offers an innovative approach to harness noise constructively; however, current implementations…

Adaptation and Self-Organizing Systems · Physics 2024-10-11 Mengen Shen , Jianhua Yang , Miguel A. F. Sanjuán , Huatao Chen , Zhongqiu Wang

An analysis of a variety of existing experimental data leads to the conclusion on the existence of a resonance mechanism allowing weak magnetic fields to affect biological processes. These fields may either be static magnetic fields…

Biological Physics · Physics 2009-04-08 Zakirjon Kanokov , Juern W. P. Schmelzer , Avazbek K. Nasirov

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

Neuronal membrane potentials fluctuate stochastically due to conductance changes caused by random transitions between the open and close states of ion channels. Although it has previously been shown that channel noise can nontrivially…

Neurons and Cognition · Quantitative Biology 2013-12-06 Brett A. Schmerl , Mark D. McDonnell

For the need of measurements focused in condensed matter physics and especially Bernoulli effect in superconductors we have developed an active resonator with dual operational amplifiers. A tunable high-Q resonator is performed in the…

Instrumentation and Detectors · Physics 2021-06-02 T. Mifune , T. M. Mishonov , N. S. Serafimov , I. M. Dimitrova , R. Popeski-Dimovski , L. Velkoska , E. G. Petkov , A. M. Varonov , A. Barone

In order to study consequences of the differences between the ionic-to-neutral and neutral-to-ionic transitions in the one-dimensional extended Peierls-Hubbard model with alternating potentials for the TTF-CA complex, we introduce a double…

Strongly Correlated Electrons · Physics 2007-05-23 Kenji Yonemitsu

In a uniform radio-frequency (RF) plasma between a large electrode pair, the addition of an axial magnetic field induces diverse longitudinal filaments. To reveal its pattern dynamics, we conduct two-dimensional (2D) Particle-In-Cell (PIC)…

Plasma Physics · Physics 2025-05-28 Huidong Huang , Jian Chen , Zhibin Wang

Structural resonance involves the absorption of inertial loads by a tuned structural elasticity: a process playing a key role in a wide range of biological and technological systems, including many biological and bio-inspired locomotion…

Pattern Formation and Solitons · Physics 2023-07-20 Arion Pons , Tsevi Beatus

This paper proposes a new channel modelling method for powerline communications networks based on the multipath profile in the time domain. The new channel model is developed to be applied in a range of Powerline Communications (PLC)…

Information Theory · Computer Science 2012-03-20 Bo Tan , John Tompson

Many existing interpretation methods of convolutional neural networks (CNNs) mainly analyze in spatial domain, yet model interpretability in frequency domain has been rarely studied. To the best of our knowledge, there is no study on the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-02 Zhongfan Jia , Chenglong Bao , Kaisheng Ma