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Spectral embedding uses eigenfunctions of the discrete Laplacian on a weighted graph to obtain coordinates for an embedding of an abstract data set into Euclidean space. We propose a new pre-processing step of first using the eigenfunctions…

Machine Learning · Statistics 2016-07-18 Alexander Cloninger , Stefan Steinerberger

We consider the problem of recovering of continuous multi-dimensional functions from the noisy observations over the regular grid. Our focus is at the adaptive estimation in the case when the function can be well recovered using a linear…

Statistics Theory · Mathematics 2009-03-06 Anatoli Iouditski , Arkadii S. Nemirovski

We introduce a new method for estimating the Ideal Time-Frequency Representation (ITFR) of complex nonstationary signals. The Reconstructive Ideal Fractional Transform (RIFT) computes a constellation of Continuous Fractional Wavelet…

Audio and Speech Processing · Electrical Eng. & Systems 2026-04-03 James M. Cozens , Simon J. Godsill

This paper considers sequential adaptive estimation of sparse signals under a constraint on the total sensing effort. The advantage of adaptivity in this context is the ability to focus more resources on regions of space where signal…

Methodology · Statistics 2013-04-03 Dennis Wei , Alfred O. Hero

Analysis of signals defined on complex topologies modeled by graphs is a topic of increasing interest. Signal decomposition plays a crucial role in the representation and processing of such information, in particular, to process graph…

Signal Processing · Electrical Eng. & Systems 2025-02-18 Harry H. Behjat , Carl-Fredrik Westin , Rik Ossenkoppele , Dimitri Van De Ville

For audio source separation applications, it is common to estimate the magnitude of the short-time Fourier transform (STFT) of each source. In order to further synthesizing time-domain signals, it is necessary to recover the phase of the…

Sound · Computer Science 2018-02-28 Paul Magron , Roland Badeau , Bertrand David

We present Multiscale Audio Spectrogram Transformer (MAST) for audio classification, which brings the concept of multiscale feature hierarchies to the Audio Spectrogram Transformer (AST). Given an input audio spectrogram, we first patchify…

Audio and Speech Processing · Electrical Eng. & Systems 2023-05-19 Sreyan Ghosh , Ashish Seth , S. Umesh , Dinesh Manocha

With the emergence of GAN-based vocoders, the discriminator, as a crucial component, has been developed recently. In our work, we focus on improving the time-frequency based discriminator. Particularly, Short-Time Fourier Transform (STFT)…

Audio and Speech Processing · Electrical Eng. & Systems 2025-12-04 Nan Xu , Zhaolong Huang , Xiao Zeng

This paper presents two single channel speech dereverberation methods to enhance the quality of speech signals that have been recorded in an enclosed space. For both methods, the room acoustics are modeled using a nonnegative approximation…

Sound · Computer Science 2017-09-19 Nasser Mohammadiha , Simon Doclo

Audio source separation is usually achieved by estimating the short-time Fourier transform (STFT) magnitude of each source, and then applying a spectrogram inversion algorithm to retrieve time-domain signals. In particular, the multiple…

Sound · Computer Science 2020-04-22 Paul Magron , Tuomas Virtanen

Spectrum sensing is a fundamental operation in cognitive radio environment. It gives information about spectrum availability by scanning the bands. Usually a fixed amount of time is given to scan individual bands. Most of the times,…

Information Theory · Computer Science 2016-06-10 Garimella Rama Murthy , Rhishi Pratap Singh , Samdarshi Abhijeet , Sachin Chaudhary

We theoretically propose a new method in cavity- and surface-enhanced Raman spectroscopy (SERS) with improved temporal resolution in the measurement of stochastic Raman spectral fluctuations. Our approach combines Fourier spectroscopy and…

Optics · Physics 2025-07-02 Colburn Cobb-Bruno , Hendrik Utzat

Indoor localization is a supporting technology for a broadening range of pervasive wireless applications. One promis- ing approach is to locate users with radio frequency fingerprints. However, its wide adoption in real-world systems is…

Information Theory · Computer Science 2017-08-04 Xiao-Yang Liu , Shuchin Aeron , Vaneet Aggarwal , Xiaodong Wang , Min-You Wu

The demand for realistic virtual immersive audio continues to grow, with Head-Related Transfer Functions (HRTFs) playing a key role. HRTFs capture how sound reaches our ears, reflecting unique anatomical features and enhancing spatial…

Sound · Computer Science 2026-01-26 Xuyi Hu , Jian Li , Lorenzo Picinali , Aidan O. T. Hogg

Existing training criteria in automatic speech recognition(ASR) permit the model to freely explore more than one time alignments between the feature and label sequences. In this paper, we use entropy to measure a model's uncertainty, i.e.…

Computation and Language · Computer Science 2022-12-26 Ehsan Variani , Ke Wu , David Rybach , Cyril Allauzen , Michael Riley

Sparse time-frequency (T-F) representations have been an important research topic for more than several decades. Among them, optimization-based methods (in particular, extensions of basis pursuit) allow us to design the representations…

Signal Processing · Electrical Eng. & Systems 2023-08-04 Keidai Arai , Koki Yamada , Kohei Yatabe

Underwater acoustic monitoring systems record many hours of audio data for marine research, making fast and reliable non-causal signal detection paramount. Such detectors assist in reducing the amount of labor required for signal…

Signal Processing · Electrical Eng. & Systems 2023-02-07 Marco W. Rademan , Daniel J. Versfeld , Johan A. du Preez

This paper re-visits the spectral method for learning latent variable models defined in terms of observable operators. We give a new perspective on the method, showing that operators can be recovered by minimizing a loss defined on a finite…

Machine Learning · Computer Science 2012-07-03 Borja Balle , Ariadna Quattoni , Xavier Carreras

Purpose: To develop new encoding and reconstruction techniques for fast multi-contrast quantitative imaging. Methods: The recently proposed Echo Planar Time-resolved Imaging (EPTI) technique can achieve fast distortion- and blurring-free…

Image and Video Processing · Electrical Eng. & Systems 2020-10-05 Zijing Dong , Fuyixue Wang , Timothy G. Reese , Berkin Bilgic , Kawin Setsompop

Many spectral unmixing methods rely on the non-negative decomposition of spectral data onto a dictionary of spectral templates. In particular, state-of-the-art music transcription systems decompose the spectrogram of the input signal onto a…

Machine Learning · Statistics 2016-10-11 Rémi Flamary , Cédric Févotte , Nicolas Courty , Valentin Emiya