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A new goodness-of-fit test for normality in high-dimension (and Reproducing Kernel Hilbert Space) is proposed. It shares common ideas with the Maximum Mean Discrepancy (MMD) it outperforms both in terms of computation time and applicability…

Statistics Theory · Mathematics 2014-04-14 Jérémie Kellner , Alain Celisse

Many datasets are obtained as a resolution trade-off between two adversarial dimensions; for example between the frequency and the temporal resolutions for the spectrogram of an audio signal, and between the number of wavelengths and the…

Signal Processing · Electrical Eng. & Systems 2021-12-20 Valentin Leplat , Nicolas Gillis , Cédric Févotte

Controllable neural audio synthesis of sound effects is a challenging task due to the potential scarcity and spectro-temporal variance of the data. Differentiable digital signal processing (DDSP) synthesisers have been successfully employed…

Sound · Computer Science 2024-10-28 Adrián Barahona-Ríos , Tom Collins

We consider the problem of change point detection for high-dimensional distributions in a location family when the dimension can be much larger than the sample size. In change point analysis, the widely used cumulative sum (CUSUM)…

Statistics Theory · Mathematics 2021-10-14 Mengjia Yu , Xiaohui Chen

In precision frequency transfer systems, stringent requirements are imposed on the phase stability of transmitted signals. Throughout the transmission process, the inherent challenges of long-haul signal propagation inevitably introduce…

Optics · Physics 2025-12-24 Xuan Yang. Junhui Li , Bin Luo , Ziyang Chen , Hong guo

Millimeter-wave (mmWave) technology continues to draw large interest due to its broad applications in wireless communications, radar, and spectroscopy. Compared to pure electronic solutions, photonic-based mmWave generation provides wide…

When illuminated by a white light source, the discrete resonances of a Fabry-Perot interferometer (FP) provide a broad bandwidth, comb-like spectrum useful for frequency calibration. We report on the design, construction and laboratory…

Instrumentation and Methods for Astrophysics · Physics 2020-05-04 Jeff Jennings , Ryan Terrien , Connor Fredrick , Michael Grisham , Mark Notcutt , Samuel Halverson , Suvrath Mahadevan , Scott A. Diddams

Background: In electrical brain signals such as Local Field Potential (LFP) and Electroencephalogram (EEG), oscillations emerge as a result of neural network activity. The oscillations extend over several frequency bands. Between their…

Signal Processing · Electrical Eng. & Systems 2019-10-11 Mojtaba Chehelcheraghi , Chie Nakatani , Cees van Leeuwen

Sensing via a mechanical frequency shift is a powerful measurement tool, and, therefore, understanding and mitigating frequency noise affecting mechanical resonators is imperative. Thermomechanical noise fundamentally limits mechanical…

Mesoscale and Nanoscale Physics · Physics 2026-03-09 Sofia C. Brown , Ravid Shaniv , Ruomu Zhang , Chris Reetz , Cindy A. Regal

For the first time, the theory and practical realization of a broadband quantum noise generator based on original integrated optical beam splitter in the form of a Mach-Zehnder interferometer is demonstrated. The beam splitter with a double…

Conventional sub-Nyquist sampling methods for analog signals exploit prior information about the spectral support. In this paper, we consider the challenging problem of blind sub-Nyquist sampling of multiband signals, whose unknown…

Information Theory · Computer Science 2015-05-13 Moshe Mishali , Yonina C. Eldar

The maximum mean discrepancy (MMD) is a kernel-based nonparametric statistic for two-sample testing, whose inferential accuracy depends critically on variance characterization. Existing work provides various finite-sample estimators of the…

Machine Learning · Statistics 2026-02-05 Shijie Zhong , Yikun Yang , Da Gong , Jiangfeng Fu

This paper considers two-sided tests for the parameter of an endogenous variable in an instrumental variable (IV) model with heteroskedastic and autocorrelated errors. We develop the finite-sample theory of weighted-average power (WAP)…

Statistics Theory · Mathematics 2015-05-26 Humberto Moreira , Marcelo J. Moreira

Homodyne detection is one of the ways to circumvent the standard quantum limit for a gravitational wave detector. In this paper it will be shown that the same quantum-non-demolition effect using homodyne detection can be realized by…

General Relativity and Quantum Cosmology · Physics 2020-07-06 K. Somiya

This paper considers wide-band spectrum sensing and optimization for cognitive radio (CR) networks with noise variance uncertainty. It is assumed that the considered wide-band contains one or more white sub-bands. Under this assumption, we…

Applications · Statistics 2014-09-16 Tadilo Endeshaw Bogale , Luc Vandendorpe , Long Bao Le

A specific failure mode designated as transient micro-short circuit (TMSC) has been identified in practical battery systems, exhibiting subtle and latent characteristics with measurable voltage deviations. To further improve the safe use of…

Signal Processing · Electrical Eng. & Systems 2025-05-21 Hongyu Zhao , Yangyang Xu , Chenglin Liao

To address the challenges of low diagnostic accuracy in traditional bearing fault diagnosis methods, this paper proposes a novel fault diagnosis approach based on multi-scale spectrum feature images and deep learning. Firstly, the vibration…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Tongchao Luo , Mingquan Qiu , Zhenyu Wu , Zebo Zhao , Dingyou Zhang

This paper considers inference in a linear instrumental variable regression model with many potentially weak instruments, in the presence of heterogeneous treatment effects. I first show that existing test procedures, including those that…

Econometrics · Economics 2025-04-24 Luther Yap

Testing for white noise is a classical yet important problem in statistics, especially for diagnostic checks in time series modeling and linear regression. For high-dimensional time series in the sense that the dimension $p$ is large in…

Statistics Theory · Mathematics 2018-11-26 Zeng Li , Clifford Lam , Jianfeng Yao , Qiwei Yao

Do two data samples come from different distributions? Recent studies of this fundamental problem focused on embedding probability distributions into sufficiently rich characteristic Reproducing Kernel Hilbert Spaces (RKHSs), to compare…

Machine Learning · Computer Science 2013-05-03 Somayeh Danafar , Paola M. V. Rancoita , Tobias Glasmachers , Kevin Whittingstall , Juergen Schmidhuber