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相关论文: Minimal Bounds on Nonlinearity in Auditory Process…

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Some biological systems operate at the critical point between stability and instability and this requires a fine-tuning of parameters. We bring together two examples from the literature that illustrate this: neural integration in the…

最优化与控制 · 数学 2007-05-23 Luc Moreau , Eduardo Sontag

The first steps in the neural processing of sound are located in the auditory nerve and in the cochlear nuclei. To model the signal processing efficiently, we propose a simple mathematical tool that takes the minute timing of the system…

神经元与认知 · 定量生物学 2015-12-25 Daniel Aalto , Martin Reimann , Eero Saksman

Dephasing noise is a ubiquitous source of decoherence in current atomic sensors. We address the problem of entanglement-assisted frequency estimation subject to classical dephasing noise with full spatial correlations (collective) and…

量子物理 · 物理学 2026-03-26 Francisco Riberi , Gerardo Paz-Silva , Lorenza Viola

The fundamental time-reversal invariance of dynamical systems can be broken in various ways. One way is based on the presence of resonances and their interactions giving rise to unstable dynamical systems, leading to well-defined time…

量子物理 · 物理学 2009-11-11 Robert C. Bishop

We provide rigorous bounds for the error of the adiabatic approximation of quantum mechanics under four sources of experimental error: perturbations in the initial condition, systematic time-dependent perturbations in the Hamiltonian,…

量子物理 · 物理学 2009-11-13 Michael J. O'Hara , Dianne P. O'Leary

It is often claimed that the fundamental laws of physics are deterministic and time-symmetric and that therefore our experience of the passage of time is an illusion. This paper will critically discuss these claims and show that they are…

量子物理 · 物理学 2023-04-20 Barbara Drossel

A white noise signal can access any possible configuration of values, though statistically over many samples tends to a uniform spectral distribution, and is highly unlikely to produce intelligible sound. But how unlikely? The probability…

声音 · 计算机科学 2024-05-27 Nick Collins

Binaural sound localization is usually considered a discrimination task, where interaural time (ITD) and level (ILD) disparities at pure frequency channels are utilized to identify a position of a sound source. In natural conditions…

神经元与认知 · 定量生物学 2014-03-04 Wiktor Młynarski , Jürgen Jost

When high-frequency sound waves travel through media with anomalous diffusion, such as biological tissues, their motion can be described by nonlinear wave equations of fractional higher order. These can be understood as nonlocal…

偏微分方程分析 · 数学 2023-10-31 Vanja Nikolić

A fundamental inequality governing the spike activity of peripheral neurons is derived and tested against auditory data. This inequality states that the steady-state firing rate must lie between the arithmetic and geometric means of the…

神经元与认知 · 定量生物学 2023-08-03 Willy Wong

This article develops a general detection theory for speech analysis based on time-varying autoregressive models, which themselves generalize the classical linear predictive speech analysis framework. This theory leads to a computationally…

应用统计 · 统计学 2011-08-25 Daniel Rudoy , Thomas F. Quatieri , Patrick J. Wolfe

Millisecond and binary pulsars are the most stable natural frequency standards which admits to introduce modified versions of universal and ephemeris time scales based correspondingly on the intrinsic rotation of pulsar and on its orbital…

数据分析、统计与概率 · 物理学 2007-05-23 Sergei M. Kopeikin , Vladimir A. Potapov

Prescribed-time algorithms based on time-varying gains may have remarkable properties, such as regulation in a user-prescribed finite time that is the same for every nonzero initial condition and that holds even under matched disturbances.…

系统与控制 · 电气工程与系统科学 2023-12-18 Rodrigo Aldana-López , Richard Seeber , Hernan Haimovich , David Gómez-Gutiérrez

The work reported here aims to address the effects of time-dependent parameters and stochasticity on decision-making in biological systems. We achieve this by extending previous studies that resorted to simple normal forms. Yet, we focus…

定量方法 · 定量生物学 2018-08-29 Nuno R. Nené , James Rivington , Alexey Zaikin

Voice disorders affect patients profoundly, and acoustic tools can potentially measure voice function objectively. Nonetheless, existing tools are limited to analysing voices displaying near periodicity, and do not account for inherent…

元胞自动机与格子气 · 物理学 2019-10-23 Max A Little , Patrick E McSharry , Stephen J Roberts , Declan AE Costello , Irene M Moroz

We consider a very general class of theories, process theories, which capture the underlying structure common to most theories of physics as we understand them today (be they established, toy or speculative theories). Amongst these…

量子物理 · 物理学 2017-12-07 Bob Coecke , Stefano Gogioso , John H. Selby

How is information processed in the brain during perception? Mechanistic insight is achieved only when experiments are employed to test formal or computational models. In analogy to lesion studies, phantom perception may serve as a vehicle…

Unlike regular time evolution governed by the Schr\"odinger equation, standard quantum measurement appears to violate time-reversal symmetry. Measurement creates random disturbances (e.g., collapse) that prevents back-tracing the quantum…

Quantum metrology protocols allow to surpass precision limits typical to classical statistics. However, in recent years, no-go theorems have been formulated, which state that typical forms of uncorrelated noise can constrain the quantum…

量子物理 · 物理学 2016-03-30 Andrea Smirne , Jan Kolodynski , Susana F. Huelga , Rafal Demkowicz-Dobrzanski

Nonlinearity in many systems is heavily dependent on component variation and environmental factors such as temperature. This is often overcome by keeping signals close enough to the device's operating point that it appears approximately…

信号处理 · 电气工程与系统科学 2022-05-18 Lachlan J. Gunn , Andrew Allison , Derek Abbott