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Neuronal responses are conspicuously variable. We focus on one particular aspect of that variability: the precision of action potential timing. We show that for common models of noisy spike generation, elementary considerations imply that…

Disordered Systems and Neural Networks · Physics 2009-10-31 Guillermo A. Cecchi , Mariano Sigman , Jose-Manuel Alonso , Luis Martinez , Dante R. Chialvo , Marcelo O. Magnasco

Jumps and market microstructure noise are stylized features of high-frequency financial data. It is well known that they introduce bias in the estimation of volatility (including integrated and spot volatilities) of assets, and many methods…

Econometrics · Economics 2023-02-20 Qiang Liu , Zhi Liu

We applied multiresolution wavelet analysis to the sequence of times between human heartbeats (R-R intervals) and have found a scale window, between 16 and 32 heartbeats, over which the widths of the R-R wavelet coefficients fall into…

adap-org · Physics 2009-10-30 Stefan Thurner , Markus C. Feurstein , Malvin C. Teich

Fetal heart rate variability (fHRV) is an important indicator of health and disease, yet its physiological origins, neural contributions in particular, are not well understood. We aimed to develop novel experimental and data analytical…

Neurons in the visual cortex are correlated in their variability. The presence of correlation impacts cortical processing because noise cannot be averaged out over many neurons. In an effort to understand the functional purpose of…

Machine Learning · Computer Science 2018-04-04 Shamak Dutta , Bryan Tripp , Graham Taylor

Quantum graphs with leads to infinity serve as convenient models for studying various aspects of systems which are usually attributed to chaotic scattering. They are also studied in several experimental systems and practical applications.…

Chaotic Dynamics · Physics 2015-02-23 Daniel Waltner , Uzy Smilansky

Atrial Fibrillation is a heart condition characterized by erratic heart rhythms caused by chaotic propagation of electrical impulses in the atria, leading to numerous health complications. State-of-the-art models employ complex algorithms…

Quantitative Methods · Quantitative Biology 2019-12-02 Paul Samuel Ignacio , David Uminsky , Christopher Dunstan , Esteban Escobar , Luke Trujillo

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…

Signal Processing · Electrical Eng. & Systems 2022-05-18 Lachlan J. Gunn , Andrew Allison , Derek Abbott

Introduction: Atrial fibrillation (AF) is the most common heart arrhythmia, characterized by the presence of fibrillatory waves (f-waves) in the ECG. We introduce a voting scheme to estimate the dominant atrial frequency (DAF) of f-waves.…

Signal Processing · Electrical Eng. & Systems 2022-09-09 Shany Biton , Mahmoud Suleiman , Noam Ben Moshe , Leif Sörnmo , Joachim A. Behar

Sensor calibration is an indispensable task in any networked cyberphysical system. In this paper, we consider a sensor network plagued with offset errors, measuring a rank-1 signal subspace, where each sensor collects measurements under a…

Signal Processing · Electrical Eng. & Systems 2023-12-14 Raj Thilak Rajan

This paper examines the problem of estimating the parameters of a bandlimited signal from samples corrupted by random jitter (timing noise) and additive iid Gaussian noise, where the signal lies in the span of a finite basis. For the…

Applications · Statistics 2015-03-24 Daniel S. Weller , Vivek K Goyal

Correlations in music that exist within its waveform are studied. Monophonic wave files of random music are generated and the probability distribution function of time interval between large signal values is analyzed. A power law behavior…

Adaptation and Self-Organizing Systems · Physics 2008-11-25 Vishnu Sreekumar , Mahendra K. Verma , Gaurav Narain , Venkatesh K. S

Acoustic signals are crucial for health monitoring, particularly heart sounds which provide essential data like heart rate and detect cardiac anomalies such as murmurs. This study utilizes a publicly available phonocardiogram (PCG) dataset…

Sound · Computer Science 2024-07-29 Jingping Nie , Ran Liu , Behrooz Mahasseni , Erdrin Azemi , Vikramjit Mitra

There exist several methods developed for the canonical change point problem of detecting multiple mean shifts, which search for changes over sections of the data at multiple scales. In such methods, estimation of the noise level is often…

Methodology · Statistics 2022-11-07 Euan T. McGonigle , Haeran Cho

The dynamical organization in the presence of noise of a Boolean neural network with random connections is analyzed. For low levels of noise, the system reaches a stationary state in which the majority of its elements acquire the same…

Disordered Systems and Neural Networks · Physics 2007-05-23 Cristian Huepe , Maximino Aldana

Musical rhythms performed by humans typically show temporal fluctuations. While they have been characterized in simple rhythmic tasks, it is an open question what is the nature of temporal fluctuations, when several musicians perform music…

Neurons and Cognition · Quantitative Biology 2018-02-07 Mathias Sogorski , Theo Geisel , Viola Priesemann

Rhythms and vibrations represent the quintessence of life, they are ubiquitous (systemic) in all living systems. Recognising, unfolding these rhythms is paramount in medicine, for example in the physiology of the heart, lung, hearing,…

Neurons and Cognition · Quantitative Biology 2021-10-28 A. Guillet , A. Arneodo , P. Argoul , F. Argoul

To exploit a given physical system for quantum information processing, it is critical to understand the different types of noise affecting quantum control. Distinguishing coherent and incoherent errors is extremely useful as they can be…

Ultrasonic waves propagating in solids have stress-dependent velocities. The relation between stress (or strain) and velocity forms the basis of non-linear acoustics. In homogeneous solids, conventional time-of-flight techniques have…

Geophysics · Physics 2009-01-14 Eric Larose , Stephen Hall

It is difficult to choose detection thresholds for tests of non-stationarity that assume {\em a priori} a noise model if the data is statistically uncharacterized to begin with. This is a potentially serious problem when an automated…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Soumya D. Mohanty