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A new method is presented for the construction of a natural continuous wavelet transform on the sphere. It incorporates the analysis and synthesis with the same wavelet and the definition of translations and dilations on the sphere through…

Astrophysics · Physics 2007-05-23 J. L. Sanz , D. Herranz , M. Lopez-Caniego , F. Argueso

The future laser interferometric gravitational-wave detectors sensitivity can be improved using squeezed light. In particular, recently a scheme which uses the optical field with frequency dependent squeeze factor, prepared by means of a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Ya. Khalilli

Capturing high-frequency data concerning the condition of complex systems, e.g. by acoustic monitoring, has become increasingly prevalent. Such high-frequency signals typically contain time dependencies ranging over different time scales…

Sound · Computer Science 2022-06-14 Gaetan Frusque , Olga Fink

We present a general M-estimation framework for inference on the wavelet variance. This framework generalizes the results on the scale-wise properties of the standard estimator and extends them to deliver the joint asymptotic properties of…

Methodology · Statistics 2016-07-21 Stéphane Guerrier , Roberto Molinari

Channel Attention reigns supreme as an effective technique in the field of computer vision. However, the proposed channel attention by SENet suffers from information loss in feature learning caused by the use of Global Average Pooling (GAP)…

Computer Vision and Pattern Recognition · Computer Science 2024-03-13 Hadi Salman , Caleb Parks , Shi Yin Hong , Justin Zhan

The method of element analysis is proposed here as an alternative to traditional wavelet-based approaches to analyzing perturbations in financial signals by scale. In this method, the processes that generate oscillations in financial…

Statistical Finance · Quantitative Finance 2023-02-01 Nathan Zavanelli

Characterizing resonant scatterers is challenging because their poles and zeros usually lie away from the real-frequency axis, whereas most measurements sample only real frequencies and infer off-axis behavior from fitted models. Here we…

Optics · Physics 2026-03-16 Alex Krasnok , Denis Seletskiy

The purpose of sparse modelling of ECG signals is to represent an ECG record, given by sample points, as a linear combination of as few elementary components as possible. This can be achieved by creating a redundant set, called a…

Numerical Analysis · Mathematics 2019-09-24 Dana Cerna , Laura Rebollo-Neira

Data from gravitational wave detectors are recorded as time series that include contributions from myriad noise sources in addition to any gravitational wave signals. When regularly sampled data are available, such as for ground based and…

General Relativity and Quantum Cosmology · Physics 2020-12-23 Neil J. Cornish

The application of the continuous wavelet transform to study of a wide class of physical processes with oscillatory dynamics is restricted by large central frequencies due to the admissibility condition. We propose an alternative…

Classical Analysis and ODEs · Mathematics 2014-10-09 Elena A. Lebedeva , Eugene B. Postnikov

This paper introduces SmartBelt, a wearable microphone array on a belt that performs sound source localization and returns the direction of arrival with respect to the user waist. One of the haptic motors on the belt then vibrates in the…

Robotics · Computer Science 2022-03-01 Simon Michaud , Benjamin Moffett , Ana Tapia Rousiouk , Victoria Duda , François Grondin

This work presents a novel back-end framework for speaker verification using graph attention networks. Segment-wise speaker embeddings extracted from multiple crops within an utterance are interpreted as node representations of a graph. The…

Audio and Speech Processing · Electrical Eng. & Systems 2021-02-09 Jee-weon Jung , Hee-Soo Heo , Ha-Jin Yu , Joon Son Chung

Deep Audio Analyzer is an open source speech framework that aims to simplify the research and the development process of neural speech processing pipelines, allowing users to conceive, compare and share results in a fast and reproducible…

Sound · Computer Science 2023-10-31 Valerio Francesco Puglisi , Oliver Giudice , Sebastiano Battiato

Graph-based models require aggregating information in the graph from neighbourhoods of different sizes. In particular, when the data exhibit varying levels of smoothness on the graph, a multi-scale approach is required to capture the…

Machine Learning · Computer Science 2022-02-22 Felix L. Opolka , Yin-Cong Zhi , Pietro Liò , Xiaowen Dong

New elliptic cylindrical wavelets are introduced, which exploit the relationship between analysing filters and Floquet's solution of Mathieu differential equations. It is shown that the transfer function of both multiresolution filters is…

Classical Analysis and ODEs · Mathematics 2015-04-24 M. M. S. Lira , H. M. de Oliveira , R. J. Cintra , R. M. Campello de Souza

We introduce Wavesplit, an end-to-end source separation system. From a single mixture, the model infers a representation for each source and then estimates each source signal given the inferred representations. The model is trained to…

Audio and Speech Processing · Electrical Eng. & Systems 2020-07-03 Neil Zeghidour , David Grangier

Using waves to explore our environment is a widely used paradigm, ranging from seismology to radar technology, and from bio-medical imaging to precision measurements. In all of these fields, the central aim is to gather as much information…

Disordered Systems and Neural Networks · Physics 2024-09-12 Jakob Hüpfl , Felix Russo , Lukas M. Rachbauer , Dorian Bouchet , Junjie Lu , Ulrich Kuhl , Stefan Rotter

This paper proposes a novel way of doing audio synthesis at the waveform level using Transformer architectures. We propose a deep neural network for generating waveforms, similar to wavenet. This is fully probabilistic, auto-regressive, and…

Sound · Computer Science 2021-07-09 Prateek Verma , Chris Chafe

We consider the prediction problem of a continuous-time stochastic process on an entire time-interval in terms of its recent past. The approach we adopt is based on functional kernel nonparametric regression estimation techniques where…

Statistics Theory · Mathematics 2007-06-13 Anestis Antoniadis , Efstathios Paparoditis , Theofanis Sapatinas

In this paper we propose a new adaptive wavelet denoising methodology using complex wavelets. The method is based on a fully Bayesian hierarchical model in the complex wavelet domain that uses a bivariate mixture prior on the wavelet…

Methodology · Statistics 2018-03-08 Norbert Reményi , Brani Vidakovic