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Generating musical audio directly with neural networks is notoriously difficult because it requires coherently modeling structure at many different timescales. Fortunately, most music is also highly structured and can be represented as…

Unevenly spaced samples from a periodic function are common in signal processing and can often be viewed as a perturbed equally spaced grid. In this paper, we analyze how the uneven distribution of the samples impacts the quality of…

Numerical Analysis · Mathematics 2023-04-11 Annan Yu , Alex Townsend

Data collected from the physical world is always a combination of multiple sources: an underlying signal from the physical process of interest and a signal from measurement-dependent artifacts from the sensor or instrument. This secondary…

One form of big data are signals - time series of consecutive values. In physical experiments, billions of values can now be measured within a second. Signals of heart and brain in intensive care, as well as seismic waves, are measured with…

Methodology · Statistics 2014-12-24 Christoph Bandt

Many time series classification tasks, where labels vary over time, are affected by label noise that also varies over time. Such noise can cause label quality to improve, worsen, or periodically change over time. We first propose and…

Machine Learning · Computer Science 2025-03-18 Sujay Nagaraj , Walter Gerych , Sana Tonekaboni , Anna Goldenberg , Berk Ustun , Thomas Hartvigsen

Varied sensory systems use noise in order to enhance detection of weak signals. It has been conjectured in the literature that this effect, known as stochastic resonance, may take place in central cognitive processes such as the memory…

Neurons and Cognition · Quantitative Biology 2007-05-23 Julien Mayor , Wulfram Gerstner

The result of a physical measurement depends on the timescale of the experimental probe. In solid-state systems, this simple quantum mechanical principle has far-reaching consequences: the interplay of several degrees of freedom close to…

Strongly Correlated Electrons · Physics 2016-02-25 Philipp Hansmann , Thomas Ayral , Antonio Tejeda , Silke Biermann

Temporal data such as time series can be viewed as discretized measurements of the underlying function. To build a generative model for such data we have to model the stochastic process that governs it. We propose a solution by defining the…

Machine Learning · Computer Science 2023-05-22 Marin Biloš , Kashif Rasul , Anderson Schneider , Yuriy Nevmyvaka , Stephan Günnemann

Knowledge of the noise distribution in magnitude diffusion MRI images is the centerpiece to quantify uncertainties arising from the acquisition process. The use of parallel imaging methods, the number of receiver coils and imaging filters…

Computer Vision and Pattern Recognition · Computer Science 2018-10-03 Samuel St-Jean , Alberto De Luca , Max A. Viergever , Alexander Leemans

Sampled semantics of timed automata is a finite approximation of their dense time behavior. While the former is closer to the actual software or hardware systems with a fixed granularity of time, the abstract character of the latter makes…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Pavel Krcal , Parosh Aziz Abdulla , Wang Yi

Sequential sampling occurs when the entire population is not known in advance and data are obtained one at a time or in groups of units. This manuscript proposes a new algorithm to sequentially select a balanced sample. The algorithm…

Methodology · Statistics 2023-01-04 Raphaël Jauslin , Bardia Panahbehagh , Yves Tillé

Deep neural networks have shown promise for music audio signal processing applications, often surpassing prior approaches, particularly as end-to-end models in the waveform domain. Yet results to date have tended to be constrained by low…

Audio and Speech Processing · Electrical Eng. & Systems 2020-06-11 William Mitchell , Scott H. Hawley

Noise can induce time order in the dynamics of nonlinear dynamical systems. For example, coherence resonance occurs in various neuron models driven by a noise. In studies of coherence resonance, ensemble-averaged measures of the coherence…

Adaptation and Self-Organizing Systems · Physics 2023-10-05 Go Uchida

In this work, time series analysis techniques are used to analyze sequential, equispaced mass measurements of a Si density artifact, collected from an electromechanical transducer. Specifically, techniques such as Power Spectral Density,…

Data Analysis, Statistics and Probability · Physics 2012-03-01 Dimitra Georgakaki , Chris Mitsas , Hariton Polatoglou

Joint time-vertex graph signals are pervasive in real-world. This paper focuses on the fundamental problem of sampling and reconstruction of joint time-vertex graph signals. We prove the existence and the necessary condition of a critical…

Signal Processing · Electrical Eng. & Systems 2019-11-20 Junhao Yu , Xuan Xie , Hui Feng , Bo Hu

Two remote agents with synchronized clocks may use them to act in concert and communicate. This necessitates some means of creating and maintaining synchrony. One method, not requiring any direct interaction between the agents, is to expose…

Statistical Mechanics · Physics 2026-05-20 Benjamin Sorkin , Thomas A. Witten

Wave is crucial to acquiring information from the world and its interaction with matter is determined by the wavelength, or frequency. Search for the ability to shift frequency often points to material nonlinearity, which is significant…

Applied Physics · Physics 2020-09-24 Yumin Zhang , Keming Wu , Chunqi Wang , Lixi Huang

We first exhibit a multimodal image registration task, for which a neural network trained on a dataset with noisy labels reaches almost perfect accuracy, far beyond noise variance. This surprising auto-denoising phenomenon can be explained…

Machine Learning · Computer Science 2021-02-11 Guillaume Charpiat , Nicolas Girard , Loris Felardos , Yuliya Tarabalka

A music mashup combines audio elements from two or more songs to create a new work. To reduce the time and effort required to make them, researchers have developed algorithms that predict the compatibility of audio elements. Prior work has…

Sound · Computer Science 2021-03-29 Jiawen Huang , Ju-Chiang Wang , Jordan B. L. Smith , Xuchen Song , Yuxuan Wang

Deep neural networks, when optimized with sufficient data, provide accurate representations of high-dimensional functions; in contrast, function approximation techniques that have predominated in scientific computing do not scale well with…

Data Analysis, Statistics and Probability · Physics 2021-03-15 Grant M. Rotskoff , Andrew R. Mitchell , Eric Vanden-Eijnden